The roof leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high what is the leanth of the road to the top of the hill to the nearest hundredth

Answers

Answer 1

Answer: [tex]307.11\ ft[/tex]

Step-by-step explanation:

Given

The height of hill is 120 ft and the angle of elevation is [tex]23^{\circ}[/tex]

Suppose the length of the road is [tex]x[/tex]

From the figure, we can write

[tex]\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft[/tex]

Thus, the length of the road is [tex]307.11\ ft[/tex]

The Roof Leading To The Top Of A Hill Has An Angle Of Elevation Of 23 Degrees. The Hill Is 120 Feet High

Related Questions

What is the value of x?
sin(x + 25)" = cos(2w +20)".

Answers

Answer:

the value is 1789 trust me out that in

Step-by-step explanation:

it just is

I need help with this question

Answers

Answer:

$18.63

Step-by-step explanation:

15% of 45 is equal to 45 times .15, which is equal to 6.75.

45+6.75 = 51.75

Ben resold the guitar for $51.75

36% of 51.75 is equal to 51.75*.36 or 18.63

Ben spent $18.63 on books

18.63

15% of 45 is equal to 45 times 15 which is equal to 6.75

Write the log equation as an exponential equation. You do not need to solve for x. \log_9\left(2\right)=2x-1 log 9 ​ (2)=2x−1

Answers

Answer:

[tex]9^{2x-1} = 2\\[/tex]

Step-by-step explanation:

According to the law of logarithm;

[tex]If \ log_ab = x\\a^x = b[/tex]

Given

[tex]\log_9\left(2\right)=2x-1[/tex]

Comparing with the original expression;

a = 9, b = 2 and c = 2x - 1

Substitute into the result indicinal expression;

[tex]9^{2x-1} = 2\\[/tex]

This gives the required exponential equation

Simplify -5^2 + 8|-1| + (-3).

30
-36
-20
14

Answers

Answer:

-20

lmk if u need a step-by-step explaination id be glad to help you <3

Answer:

-20

Step-by-step explanation:

-5 ^ 2 is -25

|-1| is the same as 1

so this will be

-25 + 8 - 3

- 20

convert the decimal number 356 to a Quinary number

Answers

Answer : Yes the answer to your question is 2411.

Explanation : how I got the answer

To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:

To convert integer 356 to quinary, follow these steps:

Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent quinary number.

356 / 5 = 71 with remainder 1

71 / 5 = 14 with remainder 1

14 / 5 = 2 with remainder 4

2 / 5 = 0 with remainder 2

Here is the answer to 356 decimal to quinary number:

2411

Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot represents their reported number of hours of phone usage per week.

Answers

Answer:

where is the dot plot??

Step-by-step explanation:

This is the hardest question on here and it’s worth points so I need help

Answers

Answer:

P = 11 4/5

Step-by-step explanation:

Let L = 2 1/2 and w = 3 2/5

[tex]P=2(2\frac{1}{2})+2(3\frac{2}{5})\\\\P=5+6\frac{4}{5}\\\\P=11\frac{4}{5}[/tex]

Answer:  11

The perimeter as a mixed number is P = 11 & 4/5, but it seems like your teacher only wants the whole part of the answer. So you'll just type 11.

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

Work Shown:

1/2 = 0.5

2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

This shows that L = 2.5 ft

Similarly, W = 3.4 ft because 3+2/5 = 3+0.4 = 3.4

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

Plug those L and W values into the perimeter formula

P = 2L + 2W

P = 2*2.5 + 2*3.4

P = 5 + 6.8

P = 11.8

now convert back to a mixed number

11.8 = 11 + 0.8

11.8 = 11 + 8/10

11.8 = 11 + 4/5

11.8 = 11 & 4/5

The perimeter is 11 & 4/5 ft. In other words, the perimeter is 11 whole feet plus an additional 4/5 of a foot.

Your teacher seems to only want the whole part of the answer, assuming they only want the stuff in the box indicated with a question mark. If that's the case, then you'll type 11 into the box to write the final answer.

Please help ! What’s the answer ?!!

Answers

Answer:

x= 70

Step-by-step explanation:

Answer is first option, so x=70

Line p and line q are ______

Answers

Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)

In a survey of 200 employees of a company regarding their 401(k) investments, the following data were obtained.
142 had investments in stock funds.
84 had investments in bond funds.
67 had investments in money market funds.
50 had investments in stock funds and bond funds.
33 had investments in stock funds and money market funds.
35 had investments in bond funds and money market funds.
21 had investments in stock funds, bond funds, and money market funds.
(a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.)


(b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.)


(c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)

Answers

Answeni ideAA{

}

Step-by-step explanation:

HELPPPPP!!!! ASAPPPPP!!!!!

Answers

Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

plzz helppp it's due today​

Answers

Answer:

8

Step-by-step explanation:

use trig functions

2 sides and 1 angle given

Sides given

hypotenuse -> xopposite side to 30˚ -> 4

Angle

30˚

trig function associated with hyp and opp is sin

sin(x) = opp/hyp

substitute

sin 30˚ = 4/x

solve for x

0.5 = 4/x

0.5x = 4

x = 8

Answer:

Step-by-step explanation:

sin 30° = [tex]\frac{4}{x}[/tex]

x = [tex]\frac{4}{sin 30}[/tex]

x = [tex]\frac{4}{0.5}[/tex]

x = 8

Which radical expressions are equivalent to the exponential expression
below? Check all that apply.

Answers

Step-by-step explanation:

:)

Hola bro espero y te sirva

Which sentence explains why polygon ABCDEFGH is congruent to polygon MNOPQRST?


A.
A sequence of translations will map MNOPQRST onto ABCDEFGH.
B.
A sequence of rigid transformations will map MNOPQRST onto ABCDEFGH.
C.
A sequence of rotations will map MNOPQRST onto ABCDEFGH.
D.
A sequence of reflections will map MNOPQRST onto ABCDEFGH.

Answers

Answer:

correct option if Option D

Answer:

The answer is B.

Step-by-step explanation:

It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.

The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.

Sorry about how vague this is. It's hard to explain this without diagrams.

What is the length of Line segment A C?

Answers

Answer:

12

Step-by-step explanation:

The triangles are similar because they have the same angles.

Make a proportion to solve for AC which we will substitute with variable x.

AM = MB = 4

AB = AM + MB = 8

BN = NC = 3

BC = BN + NC = 6

big triangle sides: 8, 6, x

small triangle sides: 4, 3, 6

now we can write proportion.

8/4 = x/6

x = 12

AC = 12

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse

Answers

Answer: 2000.25 ft

Step-by-step explanation:

Given

Height of lighthouse [tex]h=175\ ft[/tex]

Angle of elevation [tex]\theta=5^{\circ}[/tex]

Suppose, you are x feet away from lighthouse

From the figure, we can write

[tex]\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft[/tex]

Thus, the ship is 2000.25 ft away from the light-house

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a/growth/w/test-player
100% a
A baker has already made 4 batches of cookies and needs a total of at least 150 cookies for an event. If one batch makes 12 cookies, which
graph shows how many more batches the baker needs to make to have enough cookies for the event?
A.
HHHH
OC.
HHH
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Answers

27——————————————————-

A rectangular room has an area of 12 m².the length of the room is 4m. what is the width of the room?​

Answers

Answer:

3

Step-by-step explanation:

area of rectangle = length × width

so the the given area is 12

area of rectangle is 12 = 4 × width

so when we multiply 4 × 3 we get 12

and the final answer is ...

area of rectangle = length × width

4× 3 = 12

how long will they take to make 504 muffins if they will be using 4 ovens?

Answers

Answer:

,‍♀️‍♀️‍♀️☺️️️️️️‍‍‍‍‍‍‍‍‍‍‍‍⚖️‍‍⚖️‍‍‍‍❤️‍‍‍❤️‍‍‍❤️‍‍‍❤️‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍️️☘️️️☃️⭐njdjdnfjfnfnfnf

Simplify. Write the answer using scientific notation.
8(710-3)
A. 56 x 10-3
B. 5.6 *10-2
C. 4.48 x 10-1

Answers

Answer:

A. 56×10 -3

Step-by-step explanation:

Just multiply 8 and 7 and number of zeros should remain same.

[tex]8(7 \times 10 {}^{ - 3} ) \\ 56 \times 10 {}^{ - 3} [/tex]

A basketball team wants to paint half of free-throw circle grey. If the circumference of the free-throw is 30.77, what is the area that will be painted grey. Use 3.14 or pie.

Answers

Answer:

3.14

Step-by-step explanation:

Because you know it's the right answer.

Please help me solve my problem!!!

Answers

True

Hope this helps! :)

______________

Discover the rate of change (slope) of these two points. (-4, 5) and (5,-4).​

Answers

Answer:-1

Step-by-step explanation:

slope = y2-y1/x2-x1

Plug in all the values

-4-5/5+4

-9/9

= -1

$5 out of every $100 a worker earns goes for clothes. On $4,000 a year wages, how much does he spend on clothes?

Answers

Answer: $200 on clothes
(If he uses the 200 on clothes he basically only earns $3,800 yearly)

If $5 out of every $100 a worker earns goes for clothes, the worker spends $200 on clothes from a $4,000 annual wage.

To determine how much a worker spends on clothes from a $4,000 annual wage, we need to calculate 5% of that amount.

The worker spends $5 out of every $100 earned on clothes. This means the worker spends 5% of their earnings on clothes.

To find 5% of $4,000, we can multiply $4,000 by 0.05:

$4,000 * 0.05 = $200

This calculation is based on the assumption that the worker consistently spends 5% of their income on clothes throughout the year.

To learn more about amount click on,

https://brainly.com/question/13656761

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Sofia earns $9 per hour mowing lawns. The total amount earned (t) equals the amouont earned per hour times the number of hours (h) . Which equation gives the total amount earned t if Lina works (h) hours ?

Answers

Answer:

9h

Step-by-step explanation:

Given data

Sofia earns $9 per hour mowing lawns

Let the total amount earned be t

and let the time worked be h

Hence

t= 9*h

t= 9h

The expression is 9h

Jordan is baking brownies and will choose to use either a round or a rectangular pan. The dimensions of the bottom of each pan are shown below.

Answers

we need the dimensions of the pan to figure it out.

Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am, and arrived in the city at 11:15 a.m. The
train's average speed was 60 miles per hour. How far did Lucas travel by train?
75 miles
105 miles
135 miles
165 miles

Answers

Sheeeseeeeeeeeeeeeeeeeeesh

The distance travelled by the Lucas will be equal to 105 miles.

What is an average speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The average speed is defined as the total distance travelled by train in total time.

Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.

Time = 105 minutes = 105 / 60 = 1.75 hours

The distance travelled by train will be calculated as,

Distance =  Speed x Time

Distance = 60 x 1.75

Therefore, the distance travelled by Lucas will be equal to 105 miles.

To know more about average speed follow

https://brainly.com/question/24739297

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solve 5w=- -75 please help me

Answers

Answer:

Step-by-step explanation:la neta ni idea ‍♀️

What is the value of f(3) in the function below? f(x) = 1/2 .2^x O A. 4 B. 2 O c. 133 3 2 D. 8​

Answers

Answer:

B

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x) , that is

f(3) = [tex]\frac{1}{4}[/tex] × 2³ = [tex]\frac{1}{4}[/tex] × 8 = 2 → B

Answer:

2

Step-by-step explanation:

f(3)=1/4×2^3

f(3)=1/4×8

f(3)=8/4=2

There is a special baking tray for skinny cakes whose length is 13 more than 2 times its width, and the area is 115 square inches. What are the dimensions of the baking tray?

Answers

Answer:

5 inches by 25 inches

Step-by-step explanation:

From the question,

Let the width of the baking tray be(w) = x inches,

Then the lenght of the baking tray(l) = (2x+13) inches

If the area of the baking tray = 115 square inches

Applying,

A = lw................. Equation 1

Therefore,

x(2x+13) = 115

2x²+13x = 115

2x²+13x-115 = 0

Using factorization method to solve the quadratic equation

2x²-10x+23x-115 = 0

(2x²-10x)+(23x-115) = 0

2x(x-5)+23(x-5) = 0

(2x+23)(x-5) = 0

Either

2x+23 = 0

x = -23/2

or

x-5 = 0

x = 5.

dimensions of the tray is

w = 5 inches

l = (2×5)+15 = 10+15 = 25 inches

Hence the dimensions of the baking tray = 5 inches by 25 inches

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