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Rina8888 [55]
2 years ago
5

Carson wants to use a sheet of fiberboard 29 inches long to create a skateboard ramp with a 19 degree angle of elevation from th

e ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary
Mathematics
1 answer:
matrenka [14]2 years ago
6 0

Answer:

9.4 in

Step-by-step explanation:

sin A = O/H

sin 19° = x/29

x = 29sin19°

x = 9.441 in

x = 9.4 in

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How many seconds are in 35 minutes?
arlik [135]
2,100 (35 times 60) is the answer
6 0
4 years ago
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Which ordered pair would form a proportional retationship with the points in the graph?
shtirl [24]

Answer:

(9, 6)

Step-by-step explanation:

the given points are

(3, 2)

(6, 4)

so, can you see, how the sequence continues ?

I see immediately that for every 3 additional units of x we add 2 units of y.

so, yes, the next point in the sequence is

(6 + 3, 4 + 2) = (9, 6).

so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.

in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).

7 0
2 years ago
Jane is a cliff diver and she is planning on jumping from a height of 747 feet and landing in the water below. She will end her
nekit [7.7K]

Answer:

811 feet

Step-by-step explanation:

When finding height difference, you use absolute value, so everything is positive. 747+64 = 811, so your answer is 811 feet.

Hope this helps!

8 0
3 years ago
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A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The v
BigorU [14]

Answer: B) [-0.0332,0.1332]

Step-by-step explanation: <u>Confidence</u> <u>Interval</u> is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

p_{1}=\frac{30}{120}=0.25

p_{2}=\frac{32}{160}=0.2

Second, calculate standard deviation for each proportion:

\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395

\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316

Now, we calculate standard error for difference:

SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}

SE=\sqrt{0.0395^{2}+0.0316^{2}}

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

p_{1}-p_{2} ± z-score.SE

0.25-0.2 ± 1.645(0.0505)

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = -0.0332

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [-0.0332,0.1332].

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3 years ago
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Naily [24]

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33 miles per 1 gallon

Step-by-step explanation:

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3 years ago
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