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

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

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)

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.

I need help with this question.

Answers

Answer:

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

*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

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

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.

**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

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

Answers

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

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] ✅

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

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

Answers

Answer:

Solving for x:

x= -y-5

Solving for y:

y= -x-5

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.

Choose the correct simplification of (9x3y2)2.

Answers

Answer:

The Correct simplification is: (3².2x³y²)

Answer:

81x^6y^4

Step-by-step explanation:

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

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

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

Answers

Answer:

9.013, 9.13, 9.1342, 9.2

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

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

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)

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.

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

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.

Its midpoint please help

Answers

Answer:

[tex]thank \: you[/tex]

-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

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

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

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]

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

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

Answers

Answer:

x = 11/2

   y = -x/2+35/4

Step-by-step explanation:

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