What is the length of leg s of the triangle below?
45
4-12
90°
45

What Is The Length Of Leg S Of The Triangle Below?454-129045

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

s = 4 → A


Related Questions

How do I answer 3 and 4

Answers

Answer:

yo have to think very hard about it

sorry, I don't have an answer but I do want to know myself

It takes 20 minutes to fill a wading pool. The pool has developed a leak through which it will empty in 30 minutes.
If the hole is not fixed, how long will it take to fill the wading pool?

Answers

In t minutes, t/20 of the pool is filled and t/30 of it is emptied.

t/20 - t/30 = 1
multiply both sides by LCM 60.

3t - 2t = 60
t = 60

The pool is filled in 60 minutes.

Drag the tiles to the correct boxes to complete the pairs match the scale drawing area and the actual area to the correct scale

Answers

Answer:

[tex](a)\ r = 1in : 9ft[/tex]

[tex](b)\ r = 1 in: 15ft[/tex]

[tex](c)\ r = 1 in: 16ft[/tex]

[tex](d)\ r = 1in:4ft[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The scale of each area

The scale ratio (r) is calculated as:

[tex]r = scale:actual[/tex]

So, we have:

(a)  scale : 13 square inches  and actual : 117 square feet

[tex]r = 13in : 117ft[/tex]

Divide by 13

[tex]r = 1in: 9ft[/tex]

(b) scale : 5 square inches  and actual : 125 square feet

[tex]r = 5in : 125ft[/tex]

Divide by 5

[tex]r = 1in : 25ft[/tex]

(c) scale : 8 square inches  and actual : 128 square feet

[tex]r = 8in : 128ft[/tex]

Divide by 8

[tex]r = 1in : 16ft[/tex]

 

(d) scale : 12 square inches  and actual : 48 square feet

[tex]r = 12in : 48ft[/tex]

Divide by 12

[tex]r = 1in:4ft[/tex]

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Passing through (-3, -6) and (2,9)
What is the equation of the line in point-slope form?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the equation of the line in slope-intercept form?

Answers

Answer:

slope-inercept form: y = 3x + 3        point-slope form: y - 9 = 3(x - 2)

Step-by-step explanation:

slope-intercept form:

y2 - y1 / x2 - x1        

9 - (-6)/ 2 - (-3)      

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

3 = b

y = 3x + 3

point-slope form:

y - 9 = 3(x - 2)

Evaluate the function. f(x)=−x^2 −6x+12 Find f(4)

Answers

1. How to find f(4)?

I explained how to find f(5) in your previous question. It is exactly the same. We substitute x = 4 in the equation.

2. Substitution and Evaluate

[tex] \large{f(4) = - {(4)}^{2} - 6(4) + 12} [/tex]

Follow BODMAS/PEMDAS rules as well! Exponent first.

[tex] \large{ f(4) = - 16 - 24 + 12} \\ \large{f(4) = - 40 + 12} \\ \large{f(4) = -2 8}[/tex]

3. Final Answer

f(4) = -28.

SOMEONE PLEASE HELP!!

Answers

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18

use the order of operations -5 + 3(7.2 - 3.2)

Answers

Answer:

-5 + 3(7.2 - 3.2) equals 7.

Step-by-step explanation:

The order of operations states the order in which different mathematical operations should be done first, you can use the mnemonic PEMDAS to remember the order to complete each operation. PEMDAS states that the order must be followed as Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction. In the expression -5 + 3(7.2 - 3.2), the three mathematical operations being used are subtraction, multiplication, and parenthesis, so based on PEMDAS, the order to complete them is parenthesis, multiplication, and subtraction. -5 + 3(7.2 - 3.2) = -5 + 3(4) = -5 + 12 = 7, so that is your final answer.

[tex]\displaystyle\bf -5+3(7.2-3.2)=7\\\\1)\:7.2-3.2=4\\\\2)\:4\cdot3=12\\\\3)\:12-5=7[/tex]

please help
thank you!
have a nice day!

Answers

Answer:

From left to right:

The first one is 2

The second one is 1/2

The third one is 2

The fourth one is 1

Step-by-step explanation:

what is the binary 11110-10101​

Answers

the binary is 1001 hope it helps

How many 2/3 are in 4 use the tape diagram

Answers

that 3 divided by 2/3 = 4 1/3 because there are 4 groups of 2/3 and 1/3 left

Someone help me please!!!

Answers

yes the answer to this is 1/5

Using the approximation of 5 miles = 8 km

How many km is 12.5 miles?

Answers

20 km
12.5 miles = (12.5*8)/5 = 20 km

Answer:

20km is in 12.5miles

Step-by-step explanation:

5miles= 8km

12.5miles=xkm

12.5÷5miles=2.5miles

2.5miles/km

2.5×8km=20km

At maximum speed, an airplane travels
1680 miles against the wind in 5 hours.
Flying with the wind. the plane can
travel the same distance in 4 hours.
What is the speed of the plane with no wind?

Answers

Answer:

The speed of the plane with no wind is 378 miles per hour.

Step-by-step explanation:

Since at maximum speed, an airplane travels 1680 miles against the wind in 5 hours, and flying with the wind. the plane can travel the same distance in 4 hours, to determine what is the speed of the plane with no wind, the following calculation must be performed:

Against the wind = 1680/5 = 336

With the wind = 1680/4 = 420

420 - ((420 - 336) / 2) = X

420 - 42 = X

378 = X

Therefore, the speed of the plane with no wind is 378 miles per hour.

Surveying Indiana high school students about virtual learning or e-learning by sampling all of the students from only some of the online schools in Indiana would be a type of sampling known as cluster sampling.

True
False

Answers

Answer: True

Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.

You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.

which statement proves that polygon ABCD is not a rectangle

Answers

Answer:

ummm u did not add the statements to the question

Step-by-step explanation:

but a polygon ABCD might not be a rectangle if:

opposite sides of polygon ABCD are not of equal lengthsall angles of the polygon may not be right angles (90°)opposite sides may not be parallel

Here is a Venn diagram.
a) Write down the numbers that are in set
А.
B
16
(i) AUB 8,14, 17, 16, 9, 15
8
14
9
(ii) A B 14,17
17
15
13
12
10
11
One of the numbers in the diagram is
chosen at random.
b) Find the probability that the number is in
set A, giving your answer as a decimal.

Answers

Answer:

0.7

Step-by-step explanation:

.

Answer:  b) 0.7

Just copy that into mathswatch :>

GIVING BRAINLIEST!! Which of the following ordered pairs lies on the graph of y = tanx?

(5 pi, 0)
(-9pi/4, 1) <---- this is wrong
(-5pi, -1)
(pi/6, √3)

Answers

Answer:

[tex](5\pi ,0)[/tex]

If 2x+4=8, what is 9x?

Answers

Answer:

hope it will be helpful to you

Answer:

..have a great day ahahahahah

geometry peculiar pool
please help!!!

after the sketch answer
1. Let x represent the length of BC. Write expressions for the lengths of AB, CD, and DE.

Answers

Answer:

hi.

Step-by-step explanation:

download photo math

The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.

The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.

Using the law of sines, we can write the following equation:

sin(77) = (50 / d) * sin(180 - 77)

where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.

Solving for d, we get:

d = 50 * sin(77) / sin(103)

≈ 21.66 inches

Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

To learn more about point here:

https://brainly.com/question/32083389

#SPJ2

A store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, which could be possible retail prices?

Answers

Answer:

$49 and $65 are the choices you should check. These prices are greater than $45.

Step-by-step explanation:

It is given that the store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, then that would mean that the store sells the store has to sell at a price greater than the buying price which is $45.

Out of the given options, only two options have a selling price which is greater than $45. These are the last and the second last options. Thus the fourth and the fifth options are applicable and hence they are to be checked.

Find the area.

A hexagon with side length 6m.

Answers

Answer:

93.53m.

Step-by-step explanation:

.

____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three​

Answers

I think it’s 275,128

Answer:

275,128

Step-by-step explanation:

"___ more than 3455" is the same as saying "___ added to 3455"

So it will look something like this:

___ + 3,455 = 278,583

Then rearrange the equation to use subtraction to solve it:

278,583 - 3,455 = ____

Plug it in the calculator or solve it by hand, and you have your answer!

(To double check, add 3,455 and 275,128, and you get 278,583)

Hope it helps (●'◡'●)

Helppppp and explain pls and thankyouuu

Answers

Answer: B

Step-by-step explanation:

multiply all the the sales by 11% and you will get the answers in option b

ex: 1300*0.11=143

p(x)=x2-1;x=-2 find wheter the following zeroes of the pollynomials are indicated towsrds them​

Answers

Given:

The polynomial is:

[tex]p(x)=x^2-1[/tex]

To find:

Whether [tex]x=-2[/tex] is a zero of the given polynomial or not.

Solution:

If [tex]x=c[/tex] is a zero of a polynomial, then [tex]f(c)=0[/tex].

We have,

[tex]p(x)=x^2-1[/tex]

Putting [tex]x=-2[/tex] in the given polynomial.

[tex]p(-2)=(-2)^2-1[/tex]

[tex]p(-2)=4-1[/tex]

[tex]p(-2)=3[/tex]

Since [tex]p(-2)\neq 0[/tex], therefore [tex]x=-2[/tex] is not a zero of the given polynomial.

can someone help me w/ this question plz?

Answers

Answer:

16 birds

8 mammals if you need to know.

Step-by-step explanation:

We can set this system of equations up by plugging the 2m from the second equation into where it says r in the first equation. The reason why we do this is because

The 2m is equal to r, so we can replace the r in the first equation with 2m, since they are equal.

Divide both

We can confirm this because

uh

(I like the enter key lol.)

It's the return key on some keyboards in other countries.

Oh yeah.

We can confirm the values.

If there are 16 birds, there is probably going to be a total of 32 legs.

With 8 mammals, it is something like 8 x 4, which is 32

32 + 32 = 64, which is the total.

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:  6

Explanation:

For any 30-60-90 triangle, the hypotenuse is always twice as long compared to the short leg. The short leg is always opposite the 30 degree angle.

The length of x is 6.

What is a right-angled triangle?

'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'

According to the given problem,

Perpendicular = 3

Hypotenuse = x

We know,

sin∅ = [tex]\frac{perpendicular}{hypotenuse}[/tex]

∅ = 30°

⇒ sin30 = [tex]\frac{3}{x}[/tex]

⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex]  [ sin30 = [tex]\frac{1}{2}[/tex] ]

⇒ x = 3 * 2

⇒ x= 6

Hypotenuse = 6

Applying Pythagoras theorem:

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ 6² = 3² + Base²

⇒ 6² - 3² = Base²

⇒ Base² = 25

⇒ Base = √25

⇒ Base = 5

Hence, we can conclude the value of x to be 6.

Learn more about right-angled triangle here:

https://brainly.com/question/3770177

#SPJ2

PLEAS ANSWER ASAP If you like peanut butter and chocolate, then you will love Reese's.

What is the contrapositive of the statement?

Answers

The contrapositive of a statement negates the conclusion as well as the hypothesis. It is logically equivalent to the original statement asserted. Often it is easier to prove the contrapositive than the original statement. This section will demonstrate this fact.

Benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed -- What is the value of the expression? options---
18, 36, 38, or 20-- ANSWER FAST!!!

Answers

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3= 1+8+27

9+27= 36

cross out 3 digits in the number 51489704 so that the number remaining is divisible by 45

Answers

Answer:

1,152

Step-by-step explanation:

So here, we shall be removing random numbers

For ease, since the number is divisible by 45: it is advisable to end the selected number with zero

So we have it that;

we are crossing the first 4, 9 and 7

So, we are left with;

51,840

dividing this by 45 will give 1,152

The side lengths of a triangle are 12,^149,^5. Is the triangle a right triangle?
PLEASE THE TEST IS DUE IN 10 MINE

Answers

Answer:

no

Step-by-step explanation:

12 squared plus 5 squared=169

Other Questions
In spite of her lack of hight she is still an excellent volleyball player . how to make that sentence into Although sentence . Key West, Florida to Seattle, Washington is 3,518 miles. If ittakes 51 hours to drive there, what is the average speed? 4. Search for 39 05 52.46N 84 30 56.16E and zoom out to an eye altitude of ~9,000 meters. The large-scale structures in this sedimentary environment are asymmetrical ripples (known as dunes at this size). Zoom in and out and examine the sedimentary environment. What type of sedimentary environment is this Draw a sinusoidal signal and illustrate how quantization and sampling is handled by using relevant grids. The spin of Earth creates the Coriolis effect. This effect causes which current patterns to occur? Choose all that applySurface ocean water in the Northern Hemisphere moves clockwise.Surface ocean water in the Southern Hemisphere moves clockwise.Surface ocean water in the Northern Hemisphere moves counterclockwise.Surface ocean water in the Southern Hemisphere moves counterclockwise.Surface ocean water moves clockwise in both hemispheres.Surface ocean water moves counterclockwise in both hemispheres. Please help! 10 ptsQuestion 1: Many California ranchos lost their land to Americans because of all of the following except:1: Seizure by the US army2: Squatters 3: Mortgage and Lawyer fees in legal battlesQuestion 2: In 1850, a federal Indian Commission was given the task of1: Tracking the movement of all Indians 2: Establishing by a legal system for the Indians 3: Establishing a reservation system for the Indians A bus starts to move with the speed of 15m/s. Calculate the time taken by the bus to cover distance of 15000m. A student registers for a course in a university. Courses may have limited enrollment i.e a student mustenroll atmost 9 credit hours, the registration process must include checks that places are available. Assumethat the student accesses an electronic course catalog to find out about available courses. Which designmodel should be followed by this secenario? Draw any two UML diagrams. Which animal population do scientists frequently study in order to identify specific ways to evaluate the impacts of contaminants on biological communities? a. bottlenose dolphins b. giant tortoises c. mallard ducks d. swan geese A company with archived and encrypted data looks to archive the associated private keys needed for decryption. The keys should be externally archived and heavily guarded. Which option should the company use? MC Qu. 98 At the beginning of the recent... At the beginning of the recent period, there were 1,470 units of product in a department, 35% completed. These units were finished and an additional 6,900 units were started and completed during the period. 1,560 units were still in process at the end of the period, 25% completed. Using the weighted average method, the equivalent units produced by the department were: In triangle XYZ. the measurements of angle X and angle Y are 45 Which is the longest side of the triangle someone please help!! Paragraph :1: Visit to a historical place.1 The rear wheels of a tractor are very wide. Why? Matthew learned how to break dance when he was just seven years old. His older brother taught him the new dance trend when he and his friends heard about it at school. Matthew asked his grandfather if he used to break dance when he was a kid. His grandfather said, No, we did not have break dancing when I was a kid. We did something called the Twist.In this example, the Twist and break dancing are both examples of __________.A.dominant cultureB.universal cultureC.popular cultureD.local culturePlease select the best answer from the choices providedABCD find missing side of triangle, help! The UB-04 form has space for more diagnosis codes, but it is not possible to link the procedures to a specific diagnosis. True False Select the correct text in the passage.Which sentence best expresses a celebratory message?Inaugural Addressby Nelson Mandela (excerpt)We have, at last, achieved our political emancipation. We pledge ourselves to liberate all our people from the continuing bondage of poverty,deprivation, suffering, gender and other discrimination.We succeeded to take our last steps to freedom in conditions of relative peace. We commit ourselves to the construction of a complete, just andlasting peace.We have triumphed in the effort to implant hope in the breasts of the millions of our people. We enter into a covenant that we shall build thesociety in which all South Africans, both black and white, will be able to walk tall, without any fear in their hearts, assured of their inalienableright to human dignity - a rainbow nation at peace with itself and the world.As a token of its commitment to the renewal of our country, the new Interim Government of National Unity will, as a matter of urgency, addressthe issue of amnesty for various categories of our people who are currently serving terms of imprisonment.We dedicate this day to all the heroes and heroines in this country and the rest of the world who sacrificed many ways and surrendered theirlives so that we could be free.Their dreams have become reality. Freedom is their reward. I mix together 50.0 mL of 0.100 M NaIO3, 50.00 mL of 0.100 M NaOH, and 10.0 mL of 0.100 M HIO3. What is the pH of the mixture