Given that x = 9.5 m and θ = 20°, work out AC rounded to 3 SF​

Given Thatx= 9.5 M And= 20, Work Out AC Rounded To 3 SF

Answers

Answer 1

Answer:

AC ≈ 10.1 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )

AC × cos20° = 9.5 ( divide both sides by cos20° )

AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )


Related Questions

Please help me ASAP!!

Answers

Answer:

n = 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

you can create this proportion:

18/n = n/6

cross-multiply:

n² = 108

n = [tex]\sqrt{108}[/tex]

[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]

Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1

Answers

Answer:

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

Step-by-step explanation:

Sea una recta:

f(x) = a*x + b

Donde a es la pendiente y b es la ordenada al origen.

Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:

g(x) = a*x + c

Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)

Entonces podemos escribir la línea perpendicular a f(x) como:

h(x) = -(1/a)*x + c

Ahora veamos nuestras líneas:

A(x) =  y = −3*x+5

B(x) = y = x/3+2 = (1/3)*x + 2

C(x) = y = -3*x + 1

Primero veamos cuáles son paralelas:

A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces  A y C son paralelas.

Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:

-(1/-3) = 1/3

Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

11 to the power of negative 4 / 11 to the power to 8

Answers

Answer:

11^-12 or 11 to the power or negative twelve

Step-by-step explanation:

11^-4  / 11 ^ 8

according to the laws of indices, when dealing with powers, division is subtraction. so:

-4 - 8 = -12

answer = 11^ -12

Answer:

Hello There!

Your answer is:

2.2This is rounded, since you get this: 2.2094836e-42

If this helps, please give me a thanks!!

- abakugosimp

8x−2=−11+7x +2
Please help me!!

Answers

Answer:

x=-7

Step-by-step explanation:

8x - 2 = -11 + 7x + 2

First, separate the terms: move x to one side

subtract 7x from both sides

8x -7x - 2 = -11 + 7x -7x + 2

x - 2 = -11 + 2

Now get x by itself by adding 2 to both sides

x - 2 +2 = -11 + 2 +2

x = -11 + 4

simplify

x = -7

you're welcome

5.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.

Answers

Answer:

B

Step-by-step explanation:

75 divided by 3 = 25

so 25 dollars each day

Answer:

B. 25/1 dollars per day; the cost is $25 for each day.

Step-by-step explanation:

Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x

Answers

a Binomial is 2 terms

so the solution is

A

B

E

Answer:

A, B, and E

Step-by-step explanation:

Binomials are equations that consist of two terms.

Please help me with this one

Answers

Answer:

2/36

Step-by-step explanation:

The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3

Collecting-

-4s + 5 + 5s - 3s​

Answers

-2s+5 is the answer I think.

You combine like terms

Answer:

-2x+5

Step-by-step explanation:

Let's simplify step-by-step.

−4x+5+5x−3x

=−4x+5+5x+−3x

Combine Like Terms:

=−4x+5+5x+−3x

=(−4x+5x+−3x)+(5)

=−2x+5

Hope this helps :)

Can u please help me with this answer ??

Answers

It will take him 10 hours since 200(4)=800 and thus, 2.5(4)=10

Answer:

C) 10 hours

Step-by-step explanation:

(2.5/200)(800) = 10

Suppose that an individual has a body fat percentage of 13.6% and weighs 189 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.






HELPPPPPP!!!!!!!!!!

Answers

Answer:

25.7 lbs

Step-by-step explanation:

189/100=1.89

1.89*13.6=25.704

25.7 lbs

Answer:

25.7

Step-by-step explanation:

You need to do 13.6 percent of 189 which is 25.704 without rounding

Round that to the nearest tenth and you have 25.7

Hope I helped :)

Which of the following is a vertex of the figure shown below after a reflection in the y axis?

Answers

Answer:

A.

Step-by-step explanation:

( 5,0)

When x axises is a reflection in the y axis

Which relationship is always true for the angles x, y, and z of triangle ABC? (4 points)

x + z = y

y + z = x

x + y + z = 180 degrees

x + y + z = 90 degrees

Answers

Answer:

y + z = x

Step-by-step explanation:

Carlos has 4.5 pounds of flour she needs three out of 4 pound of flour to make pizza what is the greatest number of pizzas Carlos can make.

Answers

Answer:

6 pizzas

Step-by-step explanation:

divide 4.5 by 3/4

Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?

Answers

Answer:

4.2

Step-by-step explanation:

took a bullet for the team

Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.

from the formula of compound interest

A = P(1 + r/n) ^nt

in our case,

A =670

P = 480

t = 8

Thus,

670 = 480(1 + r)^8

r = 4.25%

Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670

Learn more about compound interest here:

https://brainly.com/question/29335425

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Can someone please help me with this question?
Which of the following expressions are equivalent?
A) 2(x + 3) - 2
B) 2x + 4
C) 3(x + 3) - x - 5

Answers

Simplify A:

2(x+3)-2

Use distributive property:

2x+6-2

Combine like terms:

2x+4

This is the same as B.

A and B are equivalent.

Find the value of x and classify the triangle plzzz

Answers

Answer:

x=24°

The triangle is an obtuse isosceles triangle

Step-by-step explanation:

This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.

The interior angles of a triangle add up to 180, so let's make an equation.

132+2x=180

Then solve for x

subtract 132 from both sides

2x=48

Divide by 2 on both sides

x=24

The answer would be X=24 obtuse isosceles triangle

HELP PLSSSSSSS
NO LINKS​

Answers

Answer:

Is there anything else to this like a description or a sentence?

Step-by-step explanation:

Sorry I need more than this

help me please

:)


i really need it

Answers

Answer:

3.5 qt or 3 qt and 2c

Step-by-step explanation:

4 cups makes 1 quart

14/4 = 3.5

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

In the first one answer is r²

In second one answer is 3

Step-by-step explanation:

Yes it is Algebra with different powers

In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r

Like terms are added:

6r^4- 2r^4 + 4r  + 3r +____ = 4r^4 + r2+ 7r

4r^4+7r +___ = 4r^4 + r^2 + 7r

Therefore ___ = r^2

In second one:

(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10

Open the brackets

__  -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10

Add like terms

__ -14x -5x^2  + 7=  -5x^2 +14x +10

Therefore

___ + 7 = 10

___ = 10 -7 = 3

On Tuesday the train journey took 7 hours and 20 minutes and began at 13 53. (i) At what time did the train journey end? [1] (ii) Tuesday's time of 7 hours 20 minutes was 10% more than Monday's journey time. How many minutes longer was Tuesday's journey?

Answers

i)It ended at  21:13

ii) 440*10/100

44 mins longer

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

110% = 440 minutes (Tuesday journey)

100% = 100/110 x 440

100% = 400 minutes (Monday journey)

Tuesday's journey took 40 minutes longer than Monday's journey.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

On Tuesday the train journey took 7 hours and 20 minutes and began at

13:53.

The time train journey ended.

= 13:53 + 7 hours + 20 minutes

= 13 hours + 53 minutes + 7 hours + 20 minutes

= 20 hours + 73 minutes

= 20 hours + 60 minutes + 13 minutes

= 20 hours + 1 hour + 13 minutes

= 21 hours + 13 minutes

This means,

= 21:13

The train ended the journey at 21:13

Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.

This means,

Converting into minutes.

7 hours 20 minutes

= 60 x 7 + 20 minutes

= 420 minutes + 20 minutes

= 440 minutes

Monday's journey time.

110% = 440 minutes:

100% = 100/110 x 440

100% = 400 minutes

Thus,

Tuesday's journey took 40 minutes longer than Monday's journey.

Learn more about percentages here:

https://brainly.com/question/11403063

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Annabelle's password is a 3-digit code that uses the numbers 0, 1, and 2. How many possible outcomes are there for Annabelle's password if the digits can repeat itself.

Group of answer choices

21

27

9

3

Answers

Answer:

9

Step-by-step explanation:

0,1,2

0,2,1

1,2,0

1,0,2

2,0,1

2,1,0

2,2,2

1,1,1

0,0,0

A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning

Answers

The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.

Answer:

1 inch = 8.333 feets

Step-by-step explanation:

Initial dimension of rectangle :

100 feets by 10 feets

Fractional decrease in garden = 2/3

New Dimension of garden :

2/3(100 feets) by 2/3(10 feets)

66.667 feets by 6.6667 feets

Hence

From the picture attached :

8 inch = 66.667

1 inch = 8.333

The new scale of the drawing = 1 inch = 8.333 feets

30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?

Answers

Answer: 27 kids.
Explanation: Multiply 30%, or 0.3, by 90. That will find your answer. Hope this helps!

Answer:

27

Step-by-step explanation:

Multiply 90 by 0.3 and you have your answer

A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *

Answers

Answer:

2m = x

x being the number of tables

Step-by-step explanation:

2 tables = 1 minute

x tables = m

(cross multiply)

2m = x

x being the number of tables

Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and
surrounded by packaging material. The total weight of the refrigerator, box, and packaging
material was 205 pounds.
What is the weight of the box and packaging material?
Enter your answer in the box.
pounds

Answers

Answer:

13 pounds

Step-by-step explanation:

We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:

205 - 192 = 13 pounds

That means that the box and the packaging is 13 pounds. Hope this helps!

Find the value of x and y that will make each quadrilateral a parallelogram.​

Answers

Answer:

to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine

PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss

Answers

the answer is 17 because a right angle is 90 and you subtract 73 from it and get 17

Answer:

Complementary angles sum to 90°

x + 73° = 90°x = 90° - 73°x = 17°

What is the definition of the slope of a line?

Answers

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
In mathematics the slope or gradient of a line is a number that describes both the direction and the steepness of the line

what is summer academy help fr fr ☝️

Answers

Answer:

Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.

Step-by-step explanation:

Answer:

                                                                               

Step-by-step explanation:

Carl has $25.00 to spend o six packs of soda for the dance. If the cost of one-six pack is $2.50, which inequality could be used to represent this relationship?

Answers

Answer:

25 ≤ 2.5n

Step-by-step explanation:

Total budgeted amount = $25

Cost per pack of = $2.50

To represent the relationship using inequality :

Let the Total number of packs purchased = n

Hence,

Total budgeted amount ≤ (cost per pack * number of packs)

25 ≤ 2.5n

This means the total actual purchase made should be less than or equal to the budgeted amount.

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