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?​

Answer:

Step-by-step explanation:

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

Therefore:

And

[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]

Answer:

[tex]thank \: you[/tex]

Answer:

The Correct simplification is: (3².2x³y²)

Answer:

81x^6y^4

Step-by-step explanation:

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

16348

The pattern is times 2

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

Answer:

x = 11/2

   y = -x/2+35/4

Step-by-step explanation:

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.

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

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

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] ✅

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.

Answer:

9^18

Step-by-step explanation:

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

(9^3)^6

9^(3*6)

9^18

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

dog intersect cat = 13

only cat= 3

Answer:

23

Step-by-step explanation:

30/3 + 13/1

23

Step-by-step explanation:

-11+x(-7)

when x= 4, then

-11+x(-7)

-11+4(-7)

-11+(-28)

-11-28

-39

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.

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)

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

Answer:

9.013, 9.13, 9.1342, 9.2

Step-by-step explanation:

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.

Answer:

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

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)

Answer:

Solving for x:

x= -y-5

Solving for y:

y= -x-5

Step-by-step explanation:

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.

Answer:

54,060g

Step-by-step explanation:

1kg=1000,

therefore 54kg= (54x1000)

                        = 54000+60

                        = 54060g

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

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