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pashok25 [27]
2 years ago
15

Question

Mathematics
1 answer:
Semenov [28]2 years ago
6 0

Answer: B

Step-by-step explanation:

We are given that a 45-45-90 triangle has a hypotenuse of 7\sqrt{2}.

In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.

a^2+a^2=(7\sqrt{2})^{2}         [combine like terms]

2a^2=(7\sqrt{2})^2               [square root both sides]

a\sqrt{2} =7\sqrt{2}                 [divide both sides by root 2]

a=7

Now, we know that a leg is length 7, which is B.                

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What's the difference between partial variation and direct variation​
shepuryov [24]

Answer:

<u>Direct Variation is a relation that is of the form y = mx.</u>

and

<u>Partial Variation is a relation that is of the form y=mx+b</u>

Explanation:

This is a simple way to see the difference between them.

<em>Hope This help you!</em>

8 0
3 years ago
Rachel tutors English. for each hour that she tutors, she earns 50 dollars. Let E be her earnings (in dollars) after tutoring fo
n200080 [17]

Answer:

a. E = 50 H b. 950 dollars

Step-by-step explanation:

a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H

E = 50H.

b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.

So, E = 50H

E = 50 × 19

E = 950 dollars.

So, Rachel's earnings after 19 hours is 950 dollars.

4 0
3 years ago
Professor York randomly surveyed 240 students at Oxnard University and found that 150 of the students surveyed watch more than 1
BaLLatris [955]

Answer:

1727 students

Step-by-step explanation:

Here we have the formula for sample size given as

n = \frac{p(1-p)z^2}{ME^2}

Where:

p = Mean

ME = Margin of error = 3

z = z score

Therefore, we have

p = 150/240 = 0.625

z  at 99 % = 2.575

ME = \pm3%

Therefore n = \frac{0.625(1-0.625)2.575^2}{0.03^2} = 1726.73

The number of students Professor York have to sample to estimate the proportion of all Oxnard University students who watch more than 10 hours of television each week within ±3 percent with 99 percent confidence = 1727 students.

5 0
3 years ago
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its (-5 -5.9)

Step-by-step explanation:

i got id right on edg

3 0
3 years ago
Each marble bag sold by Yolanda's Marble Company contains 8 orange marbles for every 5 yellow marbles.
Stells [14]

Answer:

64.

Step-by-step explanation:

By proportion  to number of orange marbles =  (40 / 5) * 8

=  320 / 5

= 64 .

7 0
3 years ago
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