A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?​

Answers

Answer 1

Answer:

About 76.5 ft.

Step-by-step explanation:

Draw a diagram of a right triangle.  The shorter leg represents the height of the main entrance of the library, which is 8 ft.  The longer leg won't matter in this case.  The hypotenuse is what we're trying to find, so mark it as x.  We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case.  Now we have to use trig.  Think of Soh Cah Toa.  The 6° is opposite from 8 and the hypotenuse is x.  So, the equation to find x would be:

sin (6°) = 8/x

Multiply both sides by x

sin (6°) * x = 8

Divide both sides by sin (6°)

x = 8/sin (6°)

When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.


Related Questions

what is the midpoint of (4,5) and (9,17)

Answers

Answer:

Step-by-step explanation:

Midpoint formula: ( (x1+x2)/2, (y1+y2)/2)

where (x1, y1) and (x2, y2) are our points

Let (x1, y1) = (4, 5)

and (x2, y2) = (9, 17)

x1 = 4

x2 = 9

y1 = 5

y2 = 17

Then ( (4+9)/2, (5+17)/2 ) = (13/2, 22/2) = (13/2, 11)

6 - 0.75 x 1/10
^
fraction

Answers

Answer:

the answer of this question is 0.525

Answer:

[tex] \frac{3}{40} [/tex]

Step-by-step explanation:

[tex]0.75 \times \frac{1}{10} [/tex]

➡️ [tex] \frac{75}{100} = \frac{3}{40} [/tex]

➡️ [tex] \frac{3}{4} \times \frac{1}{10} [/tex]

➡️ [tex] = \frac{3 \times 1}{4 \times 10} = \frac{3}{4 \times 10} [/tex]

➡️ [tex] = \frac{3}{40} [/tex] ✅

Solve this please, I can't understand the question, so the answer with the working would be appreciated.

Answers

The pyrite cube is, well, a cube, so it has a side length s such that the area of its base is

s ² = 5.76 cm²

which means

s = √(5.76 cm²) = 2.4 cm

Then its volume is

s ³ = 13.824 cm³

Pyrite is also known as "fool's gold" because it looks a lot like gold. So if gold has a unit price of €785/cm³, then a pyrite cube with volume 13.824 cm³ could be mistaken for a gold cube of the same volume, which would sell for a price of

(€785/cm³) × 13.824 cm³ = €10,851.80

What is six hundred five thousand, five hundred written in standard form

Answers

605,500 in the standard form is 6.055 × 10^5

**3. What is the y-intercept of the line that has a slope of
-4 and passes through the point (4, -6)?

Answers

Answer:

10

Step-by-step explanation:

We'll first write in point-slope form:

y - y1 = m(x - x1)

where (x1, y1) is our point and m is our slope.

Then convert into slope-intercept form to make it easier to find the y-intercept.

y - (-6) = -4(x-4)

y + 6 = -4(x-4)

y + 6 = -4x + 16

y = -4x + 10

Now that we've put the equation in slope-intercept form, we see that our b-value

y = mx + b

b = 10, so our y-intercept is 10

I need help with this question.

Answers

Answer:

If I had guess, always equal since absolute numbers are always positive.

The circle has center O. Its radius is 9 ft, and the central angle a measures 50°. What is the area of the shaded region?
Give the exact answer in terms of it, and be sure to include the correct unit in your answer.

Answers

Answer:

35.34305555555

Step-by-step explanation:

You must calculate the percentage taken out of the circle by the shaded region. This would be about 13.8%. Then you take the overall area of the circle and multiply it by the percentage. This should give you your answer.

REMEMBER TO ROUND IF YOU ARE SUPPOSED TO, THERE IS NO INDICATION ON BRAINLY. WITHOUT ROUNDING YOU CAN GET THE ANSWER WRONG.

There is a vent diagram - it asked 30 students if they have a cat or dog. 21 have a dog. 16 have a cat. 8 have a dog, but not a cat. How would I put this on a two circle Venn diagram?

Answers

dog intersect cat = 13

only cat= 3

pls help it’s due in 20 minutes solve by using PEMDAS

Answers

Answer:

23

Step-by-step explanation:

2a/3 + 13 where a = 15

Step 1. Substitute a for 15

2(15)/3 + 13

Step 2. Multiply

30/3 + 13

Step 3. Divide

10 + 13

Step 4. Add

23

Answer:

23

Step-by-step explanation:

30/3 + 13/1

23

Solve for j.

–9j = 6j − 2(5j + 5)

j =

Answers

Answer:

-9j=6j-2(5j + 5)

-9j-6j=-2(5j+5)

-15j=-10j -10

-15j+10j=-10

-5j=-10

-5j/-5 =-10/-5

j=2

Step-by-step explanation:

-9j = 6j - 2 (5j + 5)

-9j = 6j - 10j - 10

-9j = -4j - 10

-9j + 4j = -10

-5j = -10

j = -10 / -5

j = 2

Please help asap thank you! I'll mark brainlyest​

Answers

Answer:

3

Step-by-step explanation

add all of the numbers then divide by the amount the numbers you added

in this situation it is 1+2+3+4+5=15 divided by 5 equals 3. Hoped this helped. pls give brainliest

Find X and Y. Please Help I will reward you with 95 points

Answers

Answer:

45° and 20°

Step-by-step explanation:

2x is supplementary with the right angle and 3y is supplementary with 6y, as same side interior angles.

Therefore:

2x + 90 = 1802x = 90x = 45

And

3y + 6y = 1809y = 180y = 20

[tex]\\ \rm\longmapsto 2x+90=180[/tex]

[tex]\\ \rm\longmapsto 2x=180-90[/tex]

[tex]\\ \rm\longmapsto 2x=90[/tex]

[tex]\\ \rm\longmapsto x=90/2[/tex]

[tex]\\ \rm\longmapsto x=45°[/tex]

Now

[tex]\\ \rm\longmapsto 3y+6y=180[/tex]

[tex]\\ \rm\longmapsto 9y=180[/tex]

[tex]\\ \rm\longmapsto y=180/9[/tex]

[tex]\\ \rm\longmapsto y=20[/tex]

*7th grade math* ts confusing yall.

Answers

It should already be correct

The additive inverse of 5/8 is 5/-8 (m)

Additive inverses equal each other out when added
5/8 + m = 0

Please mark brainliest

Which equation is a function of x?

Answers

Answer:

If you input a value of x then we get the output f(x) = y, which is the function of x. This is a function of x. Hence, x² = y is a function of x.

Which equation represents a population of 250 animals that decreases at an annual rate of 21% ?

A. p = 250(1.21)
B. p = 250(1.79)
C. p= 250(0.79)
D. p=250(0.21)

Answers

Answer: Choice C.  p = 250(0.79)^t

Work Shown:

p = a*b^t

p = a*(1+r)^t

p = 250*(1+(-0.21))^t

p = 250(0.79)^t

Note that r = -0.21 is negative to indicate we have exponential decay.

-11+x(-7) when x= 4
Please help ASAP

Answers

Step-by-step explanation:

-11+x(-7)

when x= 4, then

-11+x(-7)

-11+4(-7)

-11+(-28)

-11-28

-39

Help help help help me pls !,!,!,

Answers

Answer:

96

Step-by-step explanation:

First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.

Choose the correct simplification of (9x3y2)2.

Answers

Answer:

The Correct simplification is: (3².2x³y²)

Answer:

81x^6y^4

Step-by-step explanation:

Can you solve this? step by step ,if possible

Answers

Answer:

Ans:

Step-by-step explanation:

Let, the required number=n

Then, That number is actually n(n-1)

For e.g 8(8-1)=56 divided by 8=7

You Understood it.

A city has a population of 310 000 of people. Suppose that each year the population grows by 7.25%. What will the population be after 12 years?

Answers

This is an exponential growth problem.

The equation is: total = start value x ( 1 + rate)^time

Total = 310,000(1 + 0.0725)^12

Total = 718,008

Answer: 718,008

Its midpoint please help

Answers

Answer:

[tex]thank \: you[/tex]

Find the 14th term of the geometric sequence 2,4,8

Answers

16348

The pattern is times 2

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384

john has a mass of 54 kg ,60grams. how many grams is that

Answers

Answer:

54,060g

Step-by-step explanation:

1kg=1000,

therefore 54kg= (54x1000)

                        = 54000+60

                        = 54060g

54000+60

=54060
The answer is

Write an equation for the line that is parallel to 8x + 2y = 4 and goes through (0,7)​

Answers

Answer:

y = -4x +7

Step-by-step explanation:

First, we need to find the slope of the first equation

8x + 2y = 4

Subtract both sides by 8x

8x + 2y = 4

-8x         -8x

2y = -8x + 4

Then divide both sides by 2 to isolate the variable, y

2y/2 = (-8x + 4)/2

y = -4x + 4

This means the slope is -4, so our other equation will need to have the slope of -4 to be parallel

y = -4x + ?

Wait, the equation also needs to be a line where it goes through (0,7)

Luckily, that just seems to be the y-intercept, so our work is cut out for us.

Here is our equation

y = -4x + 7

You can plug in the numbers to check

7 = -4(0) +7

7 = 0 + 7

7 = 7

Factor this polynomial completely.
x2 - 8x + 16

Answers

Answer:

The choose B. (x-4)(x-4)

I hope I helped you^_^

Answer:

B.(x-4)(x-4)

Step-by-step explanation:

x²-8x+16

(x²-4x)(-4x+16)

x(x-4)-4(x-4)

(x-4)(x-4)

8x - 5y = 74
What is y and x?

Answers

Answer:

x = 11/2

   y = -x/2+35/4

Step-by-step explanation:

help!!!!! asap!!! ill mark brainlist!

Answers

Answer:

9.013, 9.13, 9.1342, 9.2

Step-by-step explanation:

Help please !!!!!!!!!!

Answers

Answer:

Solving for x:

x= -y-5

Solving for y:

y= -x-5

Step-by-step explanation:


ANYONE KNOW HOW TO DO THIS IM BEGGING

Answers

1 is reflection
Basically u got to look at what happens to the original shape

i can't answer this question for pre-algebra (9^3)6 =

Answers

Answer:

9^18

Step-by-step explanation:

We know that a^b^c = a^(b*c)

(9^3)^6

9^(3*6)

9^18

Other Questions
what is the message of the song 'Glory to God' ? Typical grade distribution for a geometry course with 35 Students a radioactive element has a half-life of 30 days. calculate the mass of the element that remains after 20 days if 100g of the element decays. Also, calculate the decay constant. State Archimedes principle Fill in the blanks with suitable determiners.Passage 1 :Why does India have so _____ good documentaries? Why doesn't _____ think of making _____ documentaries in India ? We have _____ skilled cameramen and intelligent directors. ______ efforts on the part of _______ can produce wonderful results. ______ Indians want that the duty of ______ their country should be presented before the world.Passage 2 :Recently Mohan saw _____ interesting programmes on ______ discovery channel. The _____ he liked the most was about tigers. A ______ pictures taken of the _______ habitats were brilliant . ______ different kinds of species were shown. _______ species had ________ unique features. The "big picture" view of world history emphasizes ABC is an isosceles triangle: AC = 13cm. What is the length of AB? PLZZ HELP I NEED HELPwrite a 2 step equation and solve:1. four more than six times a number is 22.2. five less than eleven times a number is 50.3. seven less than nine times a number is -16. Hurry I'm timed please What is cylopasm?A. The center of control for a cell.B. The organelle that create protein for a cell.C. The membrane that surrounds a cell.D. The substance that holds the organelle of a cell in place. La temperatura ms baja registrada en EEUU fue de - 70 F (en Roger Pass montana). Exprese esta temperatura en C(Porfavor ayudenme) 1. Simplify the expression. 12 (2) 24 24 6 6 4. About how many miles long is the Fertile Crescent? This three pleaseee 500 essay over what you did for the summer what does career advancement mean?a. trying out different jobs that are unrelatedb. staying in one cluster and getting a job with more responsibilityc. staying with the job because you like itd. going to college to get a degree for your career 1. Which of the following is an example of depository institutions?A. Property-casualty insurance company B. CorporationC. Business credit institution D. Commercial bank what type of myth should the story of maui and aoraki be considered? earth diver birth parent ex nihilo plsss helpp will give brainliest!!!here are answer choices for ALL of the blanks! :)-flexibility-cardiovascular fitness-muscular fitness Which phrase describes a protobiont?brown gooprimordial soupwarm little pondearly life form