Suppose a new regulation that a maximum angle of a ramp for a wheelchairs is 8°. At least how long must the new ramp be? Round to the nearest tenth of a foot.

9514 1404 393

Answer:

  1.13 feet

Step-by-step explanation:

We know that the sine relation is ...

  Sin = Opposite/Hypotenuse

so the length (L) of the ramp surface will be ...

  sin(angle) = 2/L

  L = 2/sin(angle)

For 18°, the ramp length will be about ...

  L = 2/sin(18°) ≈ 6.472 . . . . feet

For 22°, the ramp length will be about ...

  L = 2/sin(22°) ≈ 5.339 . . . . feet

The difference in lengths is about ...

  6.472 -5.339 = 1.133 ≈ 1.13 . . . . feet

Answer:

6⁶/11

Step-by-step explanation:

adding -27/22 to the previous number will give you the next number in the sequence

10 5/22 + -27/22 = 9

9 + -27/22 = 7 17/22

7 17/22 + -27/22 = 6 6/11

6 6/11 + -27/22 = 5 7/22

Answer:

19/20

Step-by-step explanation:

write all numerators above the least common denominator 20

15+4/20

add the numbers

19/20

Answer: 19/20

Step-by-step explanation:

Find your common denominator

3/4

Multiply by 5

15/20

1/5

Multiply by 4

4/20 + 15/20= 19/20

Hope this helped :)

Answer:

D

Step-by-step explanation:

Answer:

34 feet

Step-by-step explanation:

Answer:

Combine

f and  1/4.

and u get - f/4

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

2(-1/4)

Answer:

B) ∠SBY = 117°

Step-by-step explanation:

interior angles in a pentagon = (5x180) - 360 = 540°

each angle = 540/5 = 108°

interior angles in a octagon = (8x180) - 360 = 1080°

each angle = 1080/8 = 135°

∠SBY = 360 - 108 - 135 = 117°

Answer:

24

Step-by-step explanation:

plug in 2

2^3+7(2)+2

2×2×2+14+2

8+14+2

24

Answer:

you shouldn't be cheating kid

Answer:

Answer:

14 + 2x I think

Step-by-step explanation:

Wait for more responses if needed

Answer:

[tex] {6x}^{2} + 4x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]

2) Simplify.

[tex] {6x}^{2} + 4x[/tex]

Therefor, the answer is 6x² + 4x.

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12.

Answer:

990

Step-by-step explanation:

(21*18*2)+(21*3*2)+(18*3*2)

=990

Answer: median

Step-by-step explanation:  In this situation the mean is widely preferred as the best measure of central tendency because it is the measure that includes all the values in the data set for its calculation

16 marbles 16-6 since she she gave 6 and still has 10 left

Answer:

The ordered pair that describes the location of K' is (5,4).

Step-by-step explanation:

Reflection over the x-axis:

When a point is reflected over the x-axis, it's x-coordinate stays the same, while the signal of the y-coordinate is changed. So

(x,y) -> (x,-y)

In this question:

Point K(5,-4)

Reflection over the x-axis:

(5,-4) -> (5,-(-4)) -> (5,4)

The ordered pair that describes the location of K' is (5,4).

Answer:

The answer is B.

Step-by-step explanation:

Two angles that add up to 90° are called complementary angles.

Angles A and B are complimentary angles. Complimentary angles are angles which add up to exactly 90 degrees.

They are often confused with supplementary angles, but supplementaries add up to 180.

Answer:

B) m/3=11 ; m=33

Step-by-step explanation:

First, I substituted in my 33 in the m in me m place. Then, divide 33 by 3 and you get 11=11, and that is a true statement. I hope this helps :)

Answer:

21x - 14y - 63

Step-by-step explanation:

Rearrange the terms so it's: -7(-3x + 2y + 9)

Then distribute it and you have your answer, unless you know what x and y are

Answer:

pretty sure its 75

Answer:

260 is the answer. jjrjejjehene

Answer:

Step-by-step explanation:

A=2(xy+xz+yz) where x,y,z are its dimensions

A=2(9(15)+9(8)+15(8))

A=2(135+72+120)

A=2(327)

A=654ft^2

V=xyz

V=9(15)8

V=1080ft^3

Answer:

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.

This means that [tex]\mu = 66.3, \sigma = 3.6[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2[/tex]

What is the probability that the average age at death of these nine participants will exceed 68 years?

This is 1 subtracted by the pvalue of Z when X = 68. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{68 - 66.3}{1.2}[/tex]

[tex]Z = 1.42[/tex]

[tex]Z = 1.42[/tex] has a pvalue of 0.9222

1 - 0.9222 = 0.0778

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

I cannot do the math on this but the answer equals to 4 and 1/14

Answer:

[tex]e^{2} - 21[/tex]

Step-by-step explanation:

Hey there!

Let's get you your answer!

We have to multiply e by e. Then we need to subtract 21 from it. That would look like this: [tex]e^{2} - 21[/tex]

Hope that helps!