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nirvana33 [79]
3 years ago
5

Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

et tall. How long will the ramp be..Please step by step explanation..Thanks

Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

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Write an equation of the line passing through each of the following pairs of points. c (4, 0), (−2, 8)'
Tomtit [17]

Answer:

Step-by-step explanation:

First, you must find the slope of the line using the formula (y2-y1/x2-x1). For your problem that would be (8-0/-2-4)= -4/3.

Then, you would plug in the slope and the y-intercept into the slope-intercept formula (y=mx+b), where m is the slope and b is the y intercept (4).

Your answer would be y=-4/3x+4

6 0
3 years ago
Please Help! Multiple Choice!
Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

H_0: \mu_D - \mu_C = 0

At the alternative hypothesis, it is tested if they are different, hence:

H_1: \mu_D - \mu_C \neq 0

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

  • \mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086
  • \mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556

Hence, for the distribution of differences, they are given by:

  • \overline{x} = 12 - 14 = -2.
  • s = \sqrt{0.6086^2 + 0.4556^2} = 0.76

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

z = \frac{\overline{x} - \mu}{s}

z = \frac{-2 - 0}{0.76}

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

#SPJ1

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2 years ago
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The answer is B, because it all goes in order so no need for parentheses
3 0
3 years ago
Read 2 more answers
4 x 10^6 is how many times large then 1 x 10^4
Molodets [167]

Answer:

<h2>400</h2>

Step-by-step explanation:

4\times10^6\text{ is how many times large than}\ 1 \times 10^4?\\\\\dfrac{4\times10^6}{1\times10^4}=\dfrac{4}{1}\times\dfrac{10^6}{10^4}=4\times10^{6-4}=4\times10^2=4\times100=400

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3 years ago
I really don’t understand what the questions asking? How do I solve this
Eddi Din [679]

Answer:

$17.85

Step-by-step explanation:

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3s+2p=104.81

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If I multiply the bottom equation by -2, I can set the system up for elimination since the equations are already and the same form and I will have 2p and -2p in the same column there.  2p+(-2p)=0

Multiplying equation 2 by -2:

3s+2p=104.81

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-----------------------Add the equations:

-1s      =-17.85

Multiply both sides by -1:

s=17.85

So one shirt cost $17.85

5 0
3 years ago
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