Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m, as shown in the diagram opposite?

Answers

Answer 1

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

Answer 2

By applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.

Recall:

Trigonometry ratios used to solve a right triangle are: SOH CAH TOA

The diagram describing the situation is attached below (see attachment).

Thus:

The reference angle [tex](\theta) = 45^{\circ}[/tex]

Let the length of the rope be x = Hypotenuse

Opposite = 150 m

To find the length of the rope (x), apply SOH

Thus:

[tex]Sin(\theta) = \frac{Opp}{Hyp}[/tex]

Substitute

[tex]Sin(45) = \frac{150}{x}[/tex]

Multiply both sides by x

[tex]x \times Sin(45) = \frac{150}{x} \times x\\\\x \times Sin(45) = 150[/tex]

Divide both sides by sin(45)

[tex]\frac{x \times Sin(45)}{Sin(45)} = \frac{150}{ Sin(45)} \\\\\mathbf{x = 212 $ m}[/tex]

Therefore, by applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.

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Approximately What Is The Length Of The Rope For The Kite Sail, In Order To Pull The Ship At An Angle

Related Questions

can someone help me asap?!?:( 2x-y=3 x+2y=-6

Answers

X= 2
Y= 0

I think this should be the answer

!urgent! PLEASE HELP thanks​ will give brainliest

Answers

Answer:

the first four answers are all correct

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

The correct answer is b.

Step-by-step explanation:

if you arrange the data set in ascending order you will have:

x              y

-2            [tex]\frac{1}{100}[/tex]

-1              [tex]\frac{1}{10}[/tex]

0               1

1                10

3               1000

Exponential growth is an increase in a specific way of a data set over time. here, as x increases by a +1, y increases with ×10

8 kids bought a 3 cakes. How many equal parts will need to divide it so that everyone can have it. Easy one! ​

Answers

Answer:

3/8 is your answer.

Step-by-step explanation:

Given:

8 kids bought a 3 cakes.

Required:

How many equal parts will need to divide it so that everyone can have it.

Solution:

3/8

Hope this helps ;) ❤❤❤

it would be 3/8! hope you found this helpful!

I need help with this question badly

Answers

Step-by-step explanation:

[tex] {9}^{ - 53} . {9}^{37} [/tex]

To solve this question we use the rules of indices

Since the bases are the same and are multiplying we add the exponents using the formula

[tex] {a}^{b} \times {a}^{c} = {a}^{b + c} [/tex]

So for the above question we have

[tex] {9}^{ - 53} \times {9}^{37} = {9}^{ - 53 + 37} [/tex]

We have the final answer as

[tex] {9}^{ - 16} [/tex]

Which is the same as

[tex] \frac{1}{ {9}^{16} } [/tex]

Hope this helps you

There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)

Answers

Answer: Please Give Brainliest. Thank You!

10 more

The number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.

Let the number of seventh-graders to be added be x.

So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x

Thus, the percentage of seventh graders in the club is thus

[tex]\frac{20 + x}{65 + x} X 100[/tex] %

Since this percentage equals 40 %, we have that

[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %

[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]

Cross-multiplying we have

[tex]20 + x = 0.4(65 + x)[/tex]

Expanding the bracket, we have

[tex]20 + x = 26 + 0.4x[/tex]

Subtracting 20 from both sides we have

[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]

Subtracting 0.4x from both sides, we have

[tex]x - 0.4x = 6\\0.6x = 6[/tex]

dividing both sides by 0.6, we have

x = 6/0.6

x = 10

So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.

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Factorise using suitable identities (0.1x-0.2y)^2

Answers

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

a = 0.1x

b = 0.2y

(0.1x - 0.2y)²= (0.1x)² - 2*0.1x*0.2y + (0.2y)²

                   = (0.1)²x² - 0.04xy + (0.2)²y²

                   = 0.01x² - 0.04xy + 0.04y²

Please Help Answer :(

Answers

Answer:

8 ^ 20

Step-by-step explanation:

(8 ^ 10) ^2

We know that a^ b^ c = a^ ( b*c)

8 ^ (10*2)

8 ^ 20

Please please please help

Answers

Answer:

[tex]\boxed{s=3}[/tex]

Step-by-step explanation:

Use a proportion to solve for the missing side length - a/c = b/d.

AB = XYBC = YZ

4/2 = 6/s cross-multiply

4s = 12 divide by 4

[tex]\boxed{s=3}[/tex]

Answer:

Step-by-step explanation:

Because these triangles are similar, their sides exist in proportion to one another. Their angles are exactly the same. but their sides are proprtionate IF they are similar. We are told they are so setting up the proportion:

[tex]\frac{4}{2}=\frac{6}{s}[/tex] and cross multiply:

4s = 12 so

s = 3

You could also look at the fact that the height of the larger triangle is 4 and the height of the smaller is 2, so the larger is twice as big as the smaller; likewise, the smaller is half the size of the larger (that means the same thing). So if the larger side is 6, half of that is 3.

WILL GIVE BRAINLIEST

Question 8(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct product of (6x − 2)(6x + 2). A.36x2 + 4 B.36x2 − 24x + 4 C. 36x2 + 24x + 4 D. 36x2 − 4

Answers

Answer:

D) 36x²-4

Step-by-step explanation:

36x²+12x-12x-4

36x²-4

[tex](6x - 2)(6x + 2) \\ = {(6x)}^{2} - {(2)}^{2} \\ = {36x}^{2} - 4[/tex]

Answer:

D.

[tex] {36x}^{2} - 4[/tex]

Hope you could understand.

If you have any query, feel free to ask.

An NFL kicker will get paid based on the average hang time of his kicks. His average hang time is modeled by the following question: h=-16t^2 +97.6t. How many seconds do his kicks remain in the air on average?

Answers

Answer:

6.1 seconds

Step-by-step explanation:

set the equation equal to zero

0 = -16t² + 97.6t

factor out t

t(-16t + 97.6) = 0

-16t =- 97.6

t =  6.1

The NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.

To find the average hang time of the NFL kicker's kicks, we need to determine the time at which the height (h) reaches its maximum value. The maximum height corresponds to the peak hang time.

The equation that models the hang time is given as: h = -16t^2 + 97.6t

This is a quadratic equation in the form: h = at^2 + bt + c

In our case, a = -16, b = 97.6, and c = 0 (since there is no constant term).

The time (t) at which the height (h) reaches its maximum value can be found using the formula: t = -b / 2a

Let's calculate the time (t):

t = -b / 2a

t = -97.6 / (2 * -16)

t = -97.6 / -32

t = 3.05 seconds (rounded to two decimal places)

So, the NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.

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Niko is 3 times as old as Lila. Niko's age is the same as adding Lila's age to the product of 3 and Amber's age. Niko is 45 years old. Kameron's age is equal to 2 times the sum of Amber's age and Lila's age. How old is Kameron? years old

Answers

Answer:

Kameron is 50 years old.

Step-by-step explanation:

We can make equations and start filling in what we already know, assuming [tex]n[/tex] is Niko's age, [tex]L[/tex] is Lila's age, [tex]a[/tex] is Amber's age, and [tex]k[/tex] is Kamerons age.

Our first equation:

n = 3L

We know that Niko is 45, so

45 = 3L

Divide both sides by 3:

L = 15

So, Lila is 15 years old.

Another equation:

n = L + 3a

We already know Niko and Lila's age:

45 = 15 + 3a

Subtract 15 from both sides:

30 = 3a

Divide both sides by 3:

a = 10

So Amber is 10 years old.

Another equation:

k = 2(a + L)

We know Amber and Lila's age:

k = 2(10 + 15)

k = 2(25)

k = 50

So Kameron is 50 years old.

Hope this helped!

Marcus played 3 different activities this week after school. The time he spent playing is described below. Swam forof an hour Played soccer for 9/10 2/3 2/4 of an hour Jogged forof an hour Which statement correctly compares the times of 2 of his activities?

Answers

Answer:

A

Step-by-step explanation:

We can find a common denominator for all of these fractions, compute, and then compare the values to find the right answer.



One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After
what was the temperature?
hours
O 24 degrees
O 16 degrees
40 degrees
O 32 degrees
Es Review

Answers

Answer:

Hey there!

The temperature started at -8 degrees.

The total rise of the temperature was 6(4) or 24 degrees.

-8+24=16

The temperature after 6 hours was 16 degrees.

Let me know if this helps :)

The temperature after 6 hour is 16°. Therefore, option B is the correct answer.

What is temperature?

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Given that, One January day, the low temperature in Fargo, ND was -8 degrees.

Over a period of six hours, the temperature rose 4 degrees per hour.

So, total temperature rose in 6 hours is 24 degrees

Temperature after 6 hour is -8+24

= 16°

The temperature after 6 hour is 16°. Therefore, option B is the correct answer.

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The length and width of a book cover are 22.2 centimeters and 12 centimeters respectively. The actual length (and width) can be 0.3 unit less than the measured length (and width) or 0.3 unit greater than the measured length (and width). a. Find the minimum and maximum possible lengths and widths of the book cover. b. Calculate the minimum and maximum possible areas of the book cover.

Answers

Part (a)

The length is supposed to be 22.2 cm, but it could be 0.3 cm less

So 22.2 - 0.3 = 21.9 cm is the smallest value for the length. This is the lower bound of the length.

The upper bound is 22.2 + 0.3 = 22.5 cm as it is the largest the length can get.

-------------

Use this for the width as well

The width is supposed to be 12 cm, but it could be as small as 12-0.3 = 11.7 cm and as large as 12+0.3 = 12.3 cm

-------------

Answers:smallest length = 21.9 cmlargest length = 22.5 cmsmallest width = 11.7 cmlargest width = 12.3 cm

============================================

Part (b)

Use the smallest length and width to get the smallest possible area

smallest area = (smallest width)*(smallest length) = 11.7*21.9 = 256.23

-------------

Repeat the same idea but for the largest length and width to get the largest possible area

largest area = (largest width)*(largest length) = 12.3*22.5 = 276.75

-------------

Answers:smallest area = 256.23 square cmlargest area = 276.75 square cm

Convert 0.3666... into a fraction

Answers

Answer:

11/30

Step-by-step explanation:

Because the repeating value is a multiple of 3, first multiply the decimal representation by 3; 0.36666 · [tex]\frac{3}{3}[/tex] = 1.1/3. Since we can't have decimals in a fraction, we'll need to multiply the result above until we have all integers. 11.3 x 10/10 = 11/30. We can't simplify this, so 11/30 is our answer.

Answer: 11/30
Hope this helped

*URGENT* Suppose 12 is raised to the second power, like this: 12^2.
Which answers show the inverse operation?
There is more than one correct answer. Select all that apply.

Answers

Answer:

12 ^ 1/2 or [tex]\sqrt{12}[/tex]

Step-by-step explanation:

12^2

We want to do the inverse operation, which is the square root

We can write the square root as

^ 1/2  or as [tex]\sqrt{ }[/tex]

So the inverse of squaring 12 is

12 ^ 1/2 or [tex]\sqrt{12}[/tex]

Two answers: Choice B, Choice D

=======================================================

Explanation:

Both of these represent the same idea. Square root notation is probably what you're more familiar with. It turns out that raising any positive number to the 1/2 power is the same as a square root. We can write

[tex]\sqrt{x} = x^{1/2}[/tex]

The 1/2 power notation may seem more clunky or confusing, but its helpful to extend to things like cube roots, fourth roots, etc.

The more general rule is

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

which says the nth root of x is the same as x^(1/n).

The graphic below shows a protractor, which is used to measure angles. What is the level of accuracy of this measurement tool? its a projractor

Answers

Step-by-step explanation:

A protractor is a handheld to use in measuring angles. It is most cases made up of plastic or glass materials, and can accurately measure angles of circles up to 180°.

However, when measuring straight lengths, a ruler or tape has better measuring accuracy than the protector.

Solve for a.

ab+c=d

a= b + c/d
a = b/(c-d)
a = (d - c)/b

Answers

Answer:

A=d-c/b

Step-by-step explanation:

Answer:

ab+c=d

Step-by-step explanation:

just took the test

The Cube root of 66 is between which two integers?

Answers

Answer:

4 and 5

Step-by-step explanation:

cube root of 66 is 4.041240021

Find the surface area of the pyramid.

A.)311.4
B.)230.4
C.)212.6
D.)200.4
Please someone help I am struggling with this

Answers

Answer:

A. 311.4 ft²

Step-by-step explanation:

Use the formula for the surface area of a square pyramid: SA = 2bs + b², where b is the length of a side of the base and s is the slant height.

Plug in the values and solve:

SA = 2(9)(12.8) + 9²

SA = 230.4 + 81

SA = 311.4 ft²

The surface area of the pyramid is 311.4 square units

The surface area of a pyramid is given by the formula:

Surface Area = 1/2 × base area × slant height + perimeter of base × slant height

The base area of the pyramid is 9 × 9 = 81 square units.

The slant height of the pyramid is the length of a line segment that connects a vertex of the pyramid to the midpoint of a side of the base.

We can find the slant height of the pyramid using the Pythagorean Theorem.

slant [tex]h^{2}[/tex] = [tex]h^{2}[/tex] + [tex](base/2)^{2}[/tex]

slant [tex]h^{2}[/tex] = [tex]12.8^{2}[/tex] + [tex]9/2^{2}[/tex] = 230.4

slant height = 15.2

Therefore, the surface area of the pyramid is:

Surface Area = 1/2 × 81 × 15.2 + 4 × × 15.2 = 311.4 square units

So the answer is A.

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Q.An observer 1.7m tall is 20sqrt(3)m away from a tower.The angle of elevation from the eye of observer to the top of the tower is 30 Find the height of the tower

plz Answer me ​

Answers

Answer:

21.7 m

Step-by-step explanation:

The question above is a right angle triangle and we would be using the trigonometric function of tangent to solve for it.

tan θ = Opposite/ Adjacent

Opposite side = Height = unknown

Adjacent = 20sqrt(3) m

θ = Angle of Elevation = 30°

Hence, we have:

tan 30° = Opposite/ 20√3

Opposite = tan 30° × 20√3m

Opposite = 20m

Height of the tower = Height of the observer + Height (Opposite side)

Height = 20m

Height of the the observer as given in the question is = 1.7m

Height of the tower = 20m + 1.7m

= 21.7m

Therefore, the height of the tower = 21.7m

sin theta upon 1 + cos theta + 1 + cos theta upon sin theta is equals to 2 cosec theta prove ​

Answers

Answer:

Step-by-step explanation:

I'll use x  instead of theta.

So we have:

sin x / ( 1 + cos x) + (1 +cos x) / sinx

The LCM is sin x(1 + cos x) so we have

sin^2 x + (1 + cos x)^2 /  sin x(1 + cos x)

= sin^2 x + cos^2x + 2 cos x + 1 /  sin x(1 + cos x)

Now sin^2x + cos^2x = 1 so:

= 2 + 2 cos x /  sin x(1 + cos x)

= 2(1+ cos x) /  sin x(1 + cos x)

The 1 + cos x is common so we have:

2 / sin x

= 2 cosec x.

Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was times the weight of the first fish, another was more than times the weight of the first fish, the next was the weight of the first fish, and the last was the weight of the first fish. Bridget's dad caught four fish. The first fish he caught weighed more than times the weight of the first fish caught that day. One fish weighed the weight of the first fish caught that day, one weighed more than times the weight of the first fish caught that day, and the last weighed the weight of the first fish caught that day.

Answers

Answer:

Bridget's first fish =f = 5 ounces

Bridget's dad first fish weighs 17 ounces

Step-by-step explanation:

Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget’s dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day. If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed___ ounces and the first fish her dad caught___ weighed ounces.

Solution:

Bridget's fishes:

f ounces

2f ounces

3f+2 ounces

1/2f ounces

3/5f ounces

Total= f +2f + (3f+2) + 1/2f +3/5f

=3f + 3f + 2 + 5f+6f/10

=6f + 2 + 11f/10

=60f+11f/10 +2

=71/10f +2

Bridget's dad fishes

3f+2

4/5f

2f+4

1/2f

Total =(3f+2) + (2f+4) + 4/5f +1/2f

=3f+2+2f+4 + 8f+5f/10

=5f + 6 + 13/10f

= 50f+13f/10 + 6

=63/10f +6

Equate the total weight

71/10f +2=63/10f +6

Collect like terms

71/10f - 63/10f =6-2

71f-63f/10 = 4

8f/10=4

Cross product

8f=40

Divide both sides by 8

f=5

Bridget's first fish =f = 5 ounces

Bridget's dad first fish = 3f +2

=3(5)+2

=15+2

=17 ounces

Bridget's dad first fish weighs 17 ounces

Boden is making a prize wheel for the school fair. The ratio of winning spaces to losing spaces is shown in the diagram. The table shows the number of winning and losing spaces that could be on the wheel. Based on the ratio, complete the missing values in the table.

Answers

The correct answers are Losing 12; Winning 15

Explanation:

The ratio of winning to losing is 5: 6 or 5/6. This means for every 5 winning spaces in the wheel there are 6 losing spaces. This ration should be used to complete the values of the table.

1. The first row shows there are 10 winning and you need to calculate the number of losing spaces. The process is shown below.

[tex]\frac{5}{6} = \frac{10}{x}[/tex] - Express the ratios using fractions; use x to show the missing value

[tex]5x = 60[/tex] - Cross multiply to find the value of x

[tex]x = 60 / 5[/tex] - Solve the equation to find x

[tex]x = 12[/tex] - The number of losing is 12 if there are 10 winning spaces

2. The second row shows there are 18 losing spaces, and you need to calculate the number of winning spaces. Repeat the process.

[tex]\frac{5}{6} = \frac{x}{18}[/tex]

[tex]6x = 90[/tex]

[tex]x = 90 / 6[/tex]

[tex]x =15[/tex] - The number of winning spaces is 15 if there are 18 losing spaces

Answer:

22 and 15 i know because i got it right on khan

Step-by-step explanation:

Please mark mine the brainliest !!

A rope 40m long is used to form a rectangle. If the length of the rectangle formed is 4m longer than the width. Calculate the area of the rectangle

Answers

Answer:

96 sq. m

Step-by-step explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

Answer:

96m^2

Step-by-step explanation:

40=2(x+x+4)--> 2(2x+4).

20=2x+4

20-4=2x

16=2x

8=x

8✖️12=96m^2

Simplify this equation -8a-5a

Answers

Answer:

-13a

Step-by-step explanation:

Since -8 and -5 have like variables, you can subtract them. -8-5 is -13, so the answer is -13a.

Answer:

-13a

Step-by-step explanation:

These two numbers are already like terms, so you can subtract it easily.  

First, don't look at the a.

-8-5= -13 because if something is negative and gets subtracted, that means it'll still be negative.

Now that we now it equals -13, we can add the variable a back onto the answer.  We get -13a.  

It cost Lori $14 to go to the movies. She bought popcorn for $3.50 and a soda for $2.50. How much was her ticket?

Answers

Her ticket was 12.00

Answer:

$8.00

Step-by-step explanation:

You need to add 3.50 and 2.50. your answer will be 6.00. If you subtract 6.00 from 14.00 you will get your answer which is 8.00

Simplify:
[tex] \sqrt[4]{6 ^{4} } [/tex]

Answers

Answer:

6

Step-by-step explanation:

Doing the fourth root of something is the equivalent of doing said number to the power of 1/4. So in this case I will convert the fourth root into an exponent and simplify:

6^(4*1/4) = 6^1 = 6

Hope this helps!

8.Find the nature of the roots of the quadratic equation

(1 Point)

2 − 5 − 7 − 0x2 − 5x − 7 − 0

Imaginary

Real and Equal

Real and Unequal

None of These

please give the answer as fast as you can


please ​

Answers

Answer:

Real and unequal

Step-by-step explanation:

We are tasked with finding the nature of the roots of the given quadratic equation.

The given quadratic equation is;

x^2 -5x -7

Firstly, we should know that we cannot solve this by factorization, as we will run into problems.

Now the catch is, although we cannot solve by factorization, we can solve by using the quadratic formula.

Now let’s check if our roots are imaginary or real.

For the roots to be imaginary or real, we will work with calculating the value of the expression b^2 -4ac

The value of this would tell us the nature of the roots. While a negative value would tell us the roots are imaginary, a positive value will tell us the roots are real.

So from the question, b = -5( coefficient of x) , while c = -7 and a = 1 ( coefficient of x^2)

Plugging these values into the equation, we have;

-5^2 - 4(1)(-7) = 25 + 28 = 53

This tells us the roots are real

The last issue is to know if the roots are equal or not.

The roots cannot be equal. This is because the term b^2 - 4ac would be in the root and yield a positive and a negative value which cannot give equal answers when added to (-b)

This from the quadratic formula;

x = {-b ± √(b^2-4ac)}/2a

Other Questions
Steve Jobs of Apple was known as a perfectionist. "My job is not to be easy on people," he said. "My jobs is to take these great people we have and to push them and make them even better." Apple probably looks to hire people who are innovative and:________.a. detail-oriented. b. aggressive. c. people-oriented. Youve been contracted to wallpaper a wall 10 feet wide and 12 feet high with a square window with 3 foot sides. How many square feet of wallpaper do you need to cover the wall if you were to exclude the opening for the window? _____ square feet If AB = 45, find the length of AJ. Hotel Cortez is an all-equity firm that has 10,900 shares of stock outstanding at a market price of $37 per share. The firm's management has decided to issue $66,000 worth of debt and use the funds to repurchase shares of the outstanding stock. The interest rate on the debt will be 8 percent. What is the break-even EBIT HELP PLSSSSSSS ASAP FIRST CORRECT ANSWER WILL GET BRANLIST. A bunny accidentally knocks a basket of eggs off of a table. Luckily the basket lands safely on the floor with all the eggs unbroken. Air resistance is negligible. What is the acceleration of the egg-basket system in midair? A)The acceleration cannot be determined without knowing how hard the basket was pushed. B) Acceleration is downward and less than g because the eggs are light. C) The acceleration fluctuates because of the rolling of the eggs. D) Acceleration is downward with a magnitude of g because the system is a projectile. Duval inc budgets direct materials at $1/liter and requires 4 liters per unit of finished product. Aprils activities show usage of 832 liters to complete 196 units at a cost of $798.72. Calculate the direct materials price and quantity variances and indicate favorable or unfavorable results. How do fries, a fast-food restaurant salad, and a baked potato compare to each other? convert 8 7/9 yard into in You expect General Motors (GM) to have a beta of 1.3 over the next year and the beta of Exxon Mobil (XOM) to be 0.9 over the next year. Also, you expect the volatility of General Motors to be 40% and that of Exxon Mobil to be 30% over the next year. Which stock has more systematic risk? Which stock has more total risk? Identify the type of energy described in each sentence. Tiles gravitational energy mechanical energy chemical energy electrical energy thermal energy nuclear energy radiant energy Pairs The body stores lipids ingested as fat and uses this energy when needed. arrowBoth A persons hat falls off and lands on the ground. arrowBoth A wave of water pushes a surfer to shore. arrowBoth A burner on a stove heats up a tea kettle. arrowBoth A power plant splits atoms to generate power for a city. arrowBoth A nerve sends an impulse to another nerve. arrowBoth A plant absorbs the Suns rays to start the process of photosynthesis. arrowBoth Find the value of r. A. 24 B. 12 C. 2 D. 3 A firm has the following gross requirements for Item OF. Ordering costs are $60 per order and carrying costs are $0.50 per period.Item F Period LT: 1 1 2 3 4Gross Requirements 60 40 80 60Schedule Receipts Project on Hand 100 Net Requirements Planned Order Receipts Planned Order Releases If EOQ lot sizing is used the minimum order quantity would be:_______a. 85b. 100c. 120d. 150 Is cutting a piece of DNA with a restriction enzyme depends upon the sequence of the DNA? PLS ANYONE IT'S URGENT Explain eubacteria ? How many multiples of 4, that are smaller than 1,000, do not contain any of the digits 6, 7, 8, 9 or 0? I really need a answer. Name the quadrants in which of the following points (3, 0) (-9,-3) lie. can u help me with this problem PLEASE HELP ASAP YOU WILL GET BRAINLIST!!!!!! 20 POINTS!!!!!!!!!! What is the South American word for mountains? sierras cordillera cotopaxi altiplanos A battery establishes a voltage V on a parallel-plate capacitor. After the battery is disconnected, the distance between the plates is doubled without loss of charge. Accordingly:_____.a. stay same b. increases c. decreases d. the capacitance decreases and the voltage between the plates increases. Assume you have a margin account with a 50% initial margin. You purchase 100 shares of stock at $80 per share. The price increases to $100 per share. What is the net value of your investment (margin) now