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

What is the volume of the rectangular prism?

A : 17 1/4
B : 18 3/4
C : 27 1/4
D : 159 3/8
HURRY I AM ON A TIMED TEST ​

Answers

Answer:

D

Step-by-step explanation:I hope this helps

what is the value of (5+3) 2?

Answers

Answer:

(5+3) times 2 then that would be 16

Step-by-step explanation:

You are just multiplying everything inside of the Parentheses after you add them together.

Here is an easy way to remember the order of operation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Hope that helps

Wendy randomly chooses a positive integer less than or equal to 2020. The probability that the digits in Wendy's number add up to 10 is m/n, where m and n are relatively prime positive integers. Find m+n.

Answers

Answer:

107

Step-by-step explanation:

Probability = numbers that add up to 10 / total of numbers

There are 120 positive integers between 1 - 2020 that add up to 10.

120 / 2020

convert to its simplest form by dividing by 20

6 / 101

m + N = 101 + 6 = 107

What is the product of the expression? -7(-3)

Answers

Answer:

-21 is the correct answer . Hope you like my answer.

15.
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5

A. y = 3x

B. y = [tex]\frac{10}{x}[/tex]

C. x = [tex]\frac{y}{3}[/tex]

D. y = [tex]\frac{x}{10}[/tex]

Answers

Answer:

y=10/x

Step-by-step explanation:

Y=k/x

Y=2 & x=5 implies k=10

Hence, y=10/x is the desired equation of the hyperbola

...................................................................................................................................................

Answer:

The equation is  and  y = 2 , x = 5 the value of k is 10 .

Step-by-step explanation:

As given

y varies inversely with x.

Where k is the constant of proportionality .

Thus the equation for the  inverse variation .

As given

y = 2 when x = 5

Put all the values in the equation  .

k = 2 × 5

k = 10

Thus the constant of variation is 10 .

Therefore the equation is  and when y = 2 , x = 5 value of k is 10 .

...............................................................................................................................................

y

=

10

x

Explanation:

y

varies inversely with  

x

y

1

x

y

=

k

x

y

=

2

,

x

=

5

gives

2

=

k

5

k

=

2

×

5

=

10

y

=

10

x

Answer link

...............................................................................................................................................

Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for  any x

...............................................................................................................................................

The answer is y=10/x

what is the x-intercept of
4x-y=-5

Answers

Answer:

(-5/4,0)

Step-by-step explanation:

Find the surface area of the triangular prism shown below. 10 10 8 14 12​

Answers

Answer:

Hello! answer: 544

Hope this helps!

The surface area of the given triangular prism is 544 units³

What is a triangular prism?

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

Given that are the dimensions of a triangular prism, we are asked to find its surface area,

Surface area = (perimeter × length)+(base area)

Surface area = [(10+10+12)×14]+(8×12)

= 32×14+96

= 448+96

= 544

Hence, the surface area of the given triangular prism is 544 units³

Learn more about triangular prism, click;

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Laura makes 8 dollars for each hour of work. Write an equation to represent her total pay p after working h hours.

Answers

Answer:

8h=p

Step-by-step explanation:

Answer:

8h = p

or

p = 8h (this is how i wrote it and it was right)

Step-by-step explanation:

find the soluations to (x+3)^2=49

Answers

Answer:

x = 4 , − 10

Step-by-step explanation:

Randall has a box that measures 12 inches × 9 inches × 8 inches. If Randy wants to cover the box with aluminum foil, how much foil will it take to cover the entire outside of the box?

Answers

Answer:

[tex]A=552\ inches^2[/tex]

Step-by-step explanation:

The dimensions of a box measures 12 inches × 9 inches × 8 inches.

We need to find the area of the aluminium required to cover the entire outside of the box.

We know that the surface area of the cuboidal box is given by :

[tex]A=2(lb+bh+bl)\\\\=2(12\times 9+9\times 8+8\times 12)\\\\=2\times 276\\\\=552\ inches^2[/tex]

So, the required area of the foil is equal to [tex]552\ inches^2[/tex].


Find the area of the sector.

Answers

Answer:

11.8

Step-by-step explanation:

The area of a sector is central angle/360 x [tex]\pi[/tex][tex]r^{2}[/tex].

Thus, the central angle is 150, while the r=3

So, [tex]\frac{150}{360}[/tex] ×[tex]3^{2}\pi[/tex]=[tex]\frac{15}{4} \pi[/tex] , which is also 11.78097245 or 11.8

For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?

Answers

Answer:

72 kg

Step-by-step explanation:

For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?

We are given the ratio

cement: sand:stones

= 1:2:4

The sum of proportion =

1 + 2 + 4 = 7

We are given the kg of sand = 144kg

Step 1

We find the total kg of cement, sand and stones = x

Using the proportion of sand,

2/7 of x = 144kg

2/7 × x = 144kg

2x/7 = 144kg

Cross Multiply

2x = 7 × 144kg

x = 7 × 144kg/2

x = 504kg

Therefore the total kg of cement, sand and stone = 504kg

Step 2

The amount of cement required is calculated as:

1/7 × 504 kg = 72 kg

Therefore, 72kg of cement is required.

The difference between 25 and a number is at least 13.

Answers

Answer:

x ≤ 12

Step-by-step explanation:

The problem can be represented by the equation:

25 - x = y and y ≥ 13

So, we find that 25 - 12 = 13, which means that any number greater than 12 would result in a difference lower than 13. This sets 12 as the maximum.

Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.

Answers

3.14 . 16
= 50,24
good luckkkkkkk

for brainiest:):):):):):):):)

Answers

Answer:

A. No

B. No

C. Yes

Step-by-step explanation:

A and B are either below or above 180 degrees when all angles degrees are added together

C is exactly 180 degrees when all angles degrees are added together

Answer:

A. No

B. No

C. Yes

Step-by-step explanation:

A is no because the triangles do not follow the Triangle Inequality Theorem, nor do the angles add up to 180°. The Triangle Inequality Theorem states that the sum of two angles must be larger than the third side.

100 + 40 + 20 = 160° (DO NOT ADD UP TO 180°)

40 + 20 = 60 (60 IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100).

B is no because the triangle does not follow the Triangle Inequality Theorem, nor do the angles add up to  180°.

20 + 80 + 100 = 200° (DOES NOT ADD UP TO 180°)

20 + 80 = 100 (100° IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100.)

C is yes because the triangle follows the Triangle Inequality Theorem and the angles add up to 180°.

50 + 60 + 70 = 180°.

60 + 70 = 130 (130 IS GREATER THAN 50).

70 + 50 = 120 (120 IS GREATER THAN 60).

-8b-11w+10 simplify this has been a hard problem for me

Answers

Answer:

-8b-11w+10

Step-by-step explanation:

The first term has a variable b

The second term has a variable w

The third term is a constant

They cannot be combined

Help appreciated:)

I will give brainliest

Answers

The answer will be 2 hope this helps :)

Answer:

2

Step-by-step explanation:

There are two crosses before 1 1/2 on the graph :)

Find the surface area and leave your answer in terms of TT=pi
14 mm
29 mm
a
ОООО
800 pi
1357pi
1147 pi
1204 pi

Answers

The answer is 1204 pi

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

Answers

9514 1404 393

Answer:

  9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

  [tex]\dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}[/tex]

Such division is carried out by first finding the quotient of the highest-degree terms:

  [tex]\dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4[/tex]

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

  9n^4

_____

The attachment shows the long division.

Light travels at approximately 2.998 x 10^5 kilometers per second. There are 6.048 x 10^5 seconds in one week. About how many kilometers does light travel in one week?
A 1.813 x 10^5


B 1.813 x 10^10


C 1.813 x 10^11


d 1.813 x 10^25

Answers

1813+ 1011 is your answer

Complete the sentence below.
The amplitude of the graphs of the sine and cosine functions is __
and the period of each is
__

Answers

The amplitude of the graphs of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.

And the period of each is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

The amplitude of each of the graphs of the sine and cosine functions is 1

The period of each of the graphs of the sine and cosine functions is 2π.

By definition, the amplitude of the graphs of the sine and cosine functions is defined as the vertical distance between the x - axis which is also called the sinusoidal axis and the peak value which is the maximum or minimum points located on the graph curve function. The basic graphs of sine and cosine function are the same and they have an amplitude equal to 1.

By definition, the period of the graphs of the sine and cosine functions is defined as the the distance between two peaks of the graph or the period for which the graph repeats. In this case the time period is always 2π.

Read more at; https://brainly.com/question/3919296

What is the value of 3x +2 when x = 5​

Answers

Answer:

17

Step-by-step explanation:

Always put questions like these with an equal sign

3x + 2 = ?

plug in x value (x = 5)

3(5) + 2 = ?

solve

15 + 2 = ?

answer

17 = ?

Step-by-step explanation:

hope it helps you have a nice day

A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%.

Answers

Given:

A  merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.

He spent Rs 40 on transportation.

He sold the eggs at rs 12 per pair.

To find:

The gain or loss percentage.

Solution:

The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:

[tex]12\times 50=600[/tex]

Number of eggs in 12 boxes is:

[tex]12\times 10=120[/tex]

He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:

[tex]600+40=640[/tex]

Cost of each egg is:

[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]

He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:

[tex]\dfrac{12}{2}=6[/tex]

We need to find the gain or loss percentage.

Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.

The gain percent is:

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]

[tex]Gain\%=12.5\%[/tex]

Therefore, the gain percent is 12.5%.

Determine the mean, median, mode, and range for the data set below:
5,6,8,6,5

Answers

Answer:

Mean = 6

Median = 6

Mode = 5 and 6

Step-by-step explanation:

Mean - Add all numbers together then subtract from how many numbers are there.

Median - Arrange your numbers in numerical order. Then count how many numbers you have. After that you pick the number in the middle.

Mode - This question has a two modes because there are two number that both appear the same amount of time.

Help find the mean ,median,mode to 12,9,15,19,20,15

Answers

Answer:

Mean = 16

Median = 15

Mode = 15

Step-by-step explanation:

Mean - Add all numbers together then subtract from how many numbers are there.

Median - Arrange your numbers in numerical order. Then count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode - This question has one mode because there is only one number that occurs more that the rest.

Evaluate the expression below for x = 4 6 (x +7)

Answers

Answer:

D. 66

Step-by-step explanation:

6×(4+7)

6×11

=66

For this parallelogram (a) choose the best name and then (b) find the value of x and y.​

Answers

Answer:

rhombus

3x - 4 = 17

3x = 21

x = 7

there is no y

In the circle below, UW is a diameter. Suppose m VW = 132º and mWVX=21°. Find the following

Answers

Answer:

sooooooooooooooo

Step-by-step explanation:

um

Kyle is going to the County Fair with his friends. It
costs $8 to get into the fair and then $2 for each
ride ticket. If Kyle spent $28 total, how many ride
tickets did he buy?

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

After spending $8, Kyle had $20 left to buy $2 ride tickets. He could buy ...

  $20/$2 = 10 . . . tickets

__

An equation for the total Kyle spent is ...

  total spent = (entry fee) + (ride cost) × (number of rides)

  28 = 8 + 2n . . . . fill in the known values

  20 = 2n . . . . . . . subtract 8

  10 = n . . . . . . . . . divide by 2

Kyle bought 10 ride tickets.

PLZ HELP!!! I’ve retaken this like 4 times and I just don’t get it I need the answer plz

Answers

Answer:

a) 65 degrees

b) 60 degrees

Hope that helps! Good luck! :)

-Aphrodite

Step-by-step explanation:

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