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leva [86]
3 years ago
15

An equilateral triangle has an altitude length of 27 feet. Determine the length of a side of the triangle

Mathematics
1 answer:
lesya692 [45]3 years ago
7 0
See image attached.

Getting this answer involved finding and using 30-60-90 triangles within the equilateral triangle. We find that a side of the triangle = 18√3 feet

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An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating. An independent testing firm has been contra
vovikov84 [41]

Answer:

The value of the test statistic is -2.64.

Step-by-step explanation:

The test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the expected(claimed) mean, \sigma is the standard deviation and n is the size of the sample.

An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating.

This means that \mu = 40.3

After testing 250 vans, they found a mean MPG of 39.9. Assume the standard deviation is known to be 2.4.

This means, respectively, that:

n = 250, X = 39.9, \sigma = 2.4

So

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{39.9 - 40.3}{\frac{2.4}{\sqrt{250}}}

t = -2.64

The value of the test statistic is -2.64.

7 0
2 years ago
If PQ bisects Angle RPS and measure of angle RPS = 120°, find p and measure of angle RPQ.
Ghella [55]

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.

5p + 30 = 60

5p = 30

p = 6

So now you have determined that p = 6, and the measure of RPQ is 60 degrees.

Hope this helped!

8 0
3 years ago
Read 2 more answers
A hat's original price was $50. It is on sale for 40%0ff. How much does it cost?
yKpoI14uk [10]

Answer:

30

Step-by-step explanation:

40/100 x 50= 20

50-20=30

3 0
2 years ago
Read 2 more answers
Select the correct answer.
taurus [48]
Answer:
A. -4

Explanation:
-4 - 6 = -10
5 (-4+2) = -10
8 0
3 years ago
If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?
Volgvan

Answer: 8 whole gallons.

Step-by-step explanation: If you have only $27.00 and you need to buy gas, but each gallon is $3.15, then you just need to divide your total amount ($27.00) by your cost per gallon ($3.15), and you will get about 8.6 gallons, however this question asks for how many WHOLE gallons you can get, so all you need to do is round down to fit your budget, leaving money for only 8 whole gallons.

WORK: ($27.00) / ($3.15) = 8.6 gallons

4 0
2 years ago
Read 2 more answers
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