Please help!!! a ramp is 3 feet high. the angle of elevation is 5 degrees. how long is the ramp to the nearest foot?

Please Help!!! A Ramp Is 3 Feet High. The Angle Of Elevation Is 5 Degrees. How Long Is The Ramp To The

Answers

Answer 1

Answer:

J

Step-by-step explanation:

Start by labelling the sides of the triangle. The length of the ramp is the hypotenuse side, while the height of the ramp is the opposite side.

[tex]\textcolor{steelblue}{ \sinθ = \frac{opp}{hyp} }[/tex]

Let the length of the ramp be x.

[tex] \sin5° = \frac{3}{x} [/tex]

Multiply x on both sides:

x(sin5°)= 3

[tex]x = \frac{3}{ \sin5°} [/tex]

x= 34.4 (3 s.f.)

Thus, the length of the ramp is 34 ft. (nearest foot)


Related Questions

A clock cog rotates 150 degrees in 20 minutes. How far will far will the same cog rotate in 70 minutes

Answers

Answer:

525 degrees

Step-by-step explanation:

I think it’s 450
I am not sure but yeah ;)

BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?

Answers

the answer is 253 square feet

Answer:

A = 253 sq ft

Step-by-step explanation:

see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.

Please help me I AM BEGGING please

Answers

Answer:

218

Step-by-step explanation:

the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2

A^2 + 256 = 400

400 - 256 = 144

Square root of 144 is 12

Unknown side is 12

Find the area of the triangle:

16 x 12 = 192

192/2 = 96

The area is 96

Now find the area of the circle:

pi x the radius^2

The diameter is 20, so the radius is 10

Pi x 10^2 = 314

314 - 96 = 218

Considering area of circle
A = π x d2/4
A= π x (20^2)/4
= 314.16 m2

Considering the other side of triangle
= √[(20^2)-(16^2)]
= √(400-256)
= √144
= 12 m

Considering area of triangle
A = 1/2 x bh = 1/2 x 16 x 12
A= 96 m2

Area of shaded region
= area[ circle - triangle]
= 314.16 - 96
= 218.16 m2

Answer = 218.16

What is the area of the following circle?

Answers

Answer:

49pi

Step-by-step explanation:

Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.

P.S: don't cheat in khan my man, that's dishonored

Mr. Nathan ordered a total of 24 roses in three different colors. 1/3 white 1/4
yellow, and the rest red. What is the number of red roses Mr. Nathan ordered? Enter your answer in the box.

Answers

Answer:

10 red
8 white
6 yellow

Step-by-step explanation:

1/3 of 24 is 8 white
1/4 of 24 is 6 yellow
8+6 is 14
24-14 is 10
there are 10 red

which of the follwing is true?

Answers

Answer:

The correct one is B)

Step-by-step explanation:

Dividing with the same base subtracts the power

Can you help me with this

Answers

Answer:

Step-by-step explanation:

For the zeros, c is shows the correct number of zeros -- 7.

But you should note that the answer ought to contain the correct number of sig digs. There are 3. 692 The 2 cannot be dropped. Still your answer is correct.

3(1.07)^18 can you please help??​

Answers

the answer should be 10.13979682

HELP HELP HELP*. Hei has $1,700 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,700. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary.

what was account balance after 5 years

Answers

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]

[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]

A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36

Answers

4 dollars is the discount
$36 is the answer because 10% of 40 is 4 and 40-4=36

4,3,9/4,27/16
what is the 10th term of the sequence

Answers

Answer:

This is a sequence, so we have to move forward step by step

Step-by-step explanation:

4,3,9/4,27/16

Because this sequence has no exponential arithmetic or geometry, we perform the sequence with the help of a matrix

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]x = 4.4.4.4.4[/tex]

[tex]x = 4[/tex]

Matrix determinants allowed us to achieve both geometric and arithmetic progression by sequence guidance

The answer is

[tex]x \times y = 144 = 614.88[/tex]

Find X using the diagram.

Answers

Answer:

58°

Step-by-step explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]

Solve the given system of differential equations by systematic elimination. Dx dt = 2x − y dy dt = x

Answers

The solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

1. dx/dt = 2x - y

2. dy/dt = x

Substituting y = -dx/dt into the second equation,

dy/dt = x - t

-d²x/dt² = x - t

Now, assume a particular solution of the form x = At + B,

where A and B are constants.

Substituting this into the differential equation,

-A = At + B - t.

Equating the coefficients of t on both sides,

A = -1 and B = 0.

Thus, the particular solution is x = -t.

Now, integrating dx/dt = -yt,

x = -yt + C₁

Finally, substituting x into the particular solution x = -t,

-t = -yt + C₁.

Solving for y, obtain y = t²/2 + C₁t + C₂.

Therefore, the solution is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

Learn more about systematic elimination here:

brainly.com/question/29847467

#SPJ4

Which expression is equivalent to 113−−−√5?

Answers

Answer:

_

113 -✓5

Step-by-step explanation:

_

113-(-(-✓5))

_

=113-✓5 (decimal:110.763932)

What is the coefficient b makes the equation true for any real number x -3 (2x-3) + 5x = bx + 9

Answers

Answer:

b = 0

Step-by-step explanation:

x -3 (2x-3) + 5x = bx + 9

x - 6x +9 + 5x = bx + 9

-9 -9

x - 6x + 5x = bx

-5x + 5x = bx

0 = bx

b/x 0/x

b = 0

What is the correct answer?

Answers

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]

[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]

12.76 cubic yards

What is the area of the shape below?

Answers

Answer:

A = 192 units²

Step-by-step explanation:

the figure is a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between the bases and b₁, b₂ are the bases

here h = 12 , b₁ = 12 , b₂ = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²

Pls help
20 brainly points

a radio mast is supported by 4 cables, each of which is attached to the top of the mast. The depression from the top of the mast to the base of one of the supporting cables is 55 degrees. the height of the mass is 213 metres. work out the length of the cable

Answers

The cable and the mass forms a right triangle

The length of the cable is 260 meters

How to determine the length of the cables?

The given parametes are:

Angle = 55 degrees

Height of the mass (h) = 213 meters

The length of the cable (l) is calculated using the following cosine ratio

cos(90 - θ) = h/l

Substitute known values

cos(90 - 55) = 213/l

cos(35) = 213/l

Make l the subject

l = 213/cos(35)

Evaluate the quotient

l = 260.024987406

Approximate

l = 260

Hence, the length of the cable is 260 meters

Read more about right triangles at:

https://brainly.com/question/2437195

Factor completely 3x – 15.
-
03(x - 5)
03(x + 5)
3x(-15)
Prime

Answers

probably A the correct question good luck!

400/3*6 I don't know I don't have a calculator

Answers

Answer:

22 [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

400/3*6

400/18 = 22 [tex]\frac{2}{9\\}[/tex]

or 22.222 to the nearest thousandths.

help me w this question please

Answers

Answer:

2560000 or 2.56*10^6

Step-by-step explanation:

[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{16777216*15625}{4096*25}[/tex]

[tex]\frac{262144000000}{102400}[/tex]

[tex]2560000[/tex]

The Hire Purchase priceola microwave
a deposit of $600 and equal monthly
installmentsof$4s. Howmany installmen,

Answers

Answer:

150

Step-by-step explanation:

$600/$4 =150

=150 installments

39y³(50y² - 98) ÷26y²5y + 7)​

Answers

Answer:

3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7

SOLVE FOR X, Y

x=1

y=−1

I hope this helps a little

676 x 122 - 45 + 69
Brainliest to whoever answers first

Answers

82,496
Bc you just do the working

Answer:

82.358

Step-by-step explanation:

You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.


676 • 122 - 45 + 69

82,472 - 45 + 69

Then you add because A is next.

82,472 - 114

Then finish it

82,358


Your answer would be = 82,358


I hope it helps! Have a great day!

Muffin ^^


a man fences a 5m by 6m rectangular plot to keep in his chickens . the fencing costs $119 per meter. how much does it cost to fence the plot

Answers

Answer: 3570$

Step-by-step explanation:

5 x 6 = 30

30 x 119 = 3570

A bedroom door in the house has the same
dimensions as the front door, but the length is
30 inches rather than 36 inches. How much greater is
the volume of the front door than the bedroom door?

Answers

The difference in the volume of bedroom door in the house taken the length and width into consideration will be 120 inches³.

How to calculate the bedroom door?

It should be noted that the volume of a door is simply gotten by multiplying the length by width.

Let's assume that the width is 20 inches. Therefore, the difference will be:

= (36 × 20) - (30 × 20)

= 720 - 600

= 120 inches³

Learn more about volume on:

https://brainly.com/question/12410983

Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?.

Answers

The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

The given expression is:

[tex](1.466*10^{-8} )(5.02*10^5)[/tex]

We can rewrite the given expression as

[tex](1.466*5.02)(10^{-8} *10^5)[/tex]

What is the exponent addition rule?

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

[tex]a^m*a^n = a^{m+n}[/tex]

[tex]1.466*5.02=7.35932[/tex]

[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule

So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]

Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

To get more about exponents visit:

https://brainly.com/question/819893

Answer:

7.3593 and -3

Step-by-step explanation:

Got it right on the assignment.

Danielle invests $50 a month in an annuity that earns 4% APR and is compounded monthly. What is the future value of Danielle's account in 3
years?

A. $1909.06
B. $2082.39
C. $2153.85
D. $1843.29

Answers

The future value of Danielle's account in 3 years given the amount invested monthly and the APR is $1909.06.

What is the future value of the account?

The formula that can be used to determine the future value of the annuity is: monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 4%/12 n = number of years = 3 x 12 = 36

$50 x [(1.003333^36) - 1] / 0.003333 = $1909.06

To learn more about future value, please check:  https://brainly.com/question/24108530

0.09+
100
27

=
100

+
100
27

Answers

Answer:

x = 9#

Step-by-step explanation:

need help with answer just ask me i got yall

What is 75% of 112?

(^u^)

Answers

Answer:

84

Step-by-step explanation:

asked siri

Answer:

84

Step-by-step explanation:

take the percentage and turn it into a decimal so 75 becomes .75

multiply the decimal by the number

.75 x 112 = 84

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