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Goryan [66]
3 years ago
8

Please help me thank you

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
Use the Pythagorean theorem. We have legs with lengths of 15 and 20 miles, now let's solve for the hypotenuse.

a=15
b=20
c=?

a^2+b^2=c^2
15^2+20^2=c^2
c^2=400+225=625
c=25

Your answer is 25 miles. Hope this helps! :)
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It takes about 20 minutes to grade a student’s paper. How long, in hours, does it take to grade papers for a class of 30 people?
insens350 [35]

Answer:

The answer is 600 minutes (10 hours)

Step-by-step explanation:

20 minutes = 1 student.

30 students x 20 = 600 minutes

600mins / 60 (because an hour has 60 mins) = 10 hours.

5 0
3 years ago
Read 2 more answers
Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5
seropon [69]

Answer:

The values of x that satisfy the given equation are:

x1 = 1.183 + nπ

x2 = -1.183 + nπ

Step-by-step explanation:

Given tan²x - sin²x/sin²x = 5

Simplifying this, we have

tan²x - 1 = 5

Adding 1 to both sides, we have

tan²x = 6

Because tan²x = (tanx)², we can write as

(tanx)² = 6

Taking square roots of both sides, we have.

tanx = ±√6

x = arctan(±√6) + nπ

≈ 1.183 + nπ or -1.183 + nπ

4 0
3 years ago
A man retires at age 50 with $605,000 in savings. He spends his savings at a steady rate, and after 6 years of retirement, he ha
givi [52]

Since it states that he "spends his savings at a steady rate," we can assume this is a linear equation.

What we know is that he started with $605,000 and after 6 years, he used $300,000. So, we just subtract what he had originally by what he used and get $305,000. We can now make the equation as follows:

300,000=6x, where x is the amount of money he spent in one year. This equation simplifies to x=50,000, which is the amount of money he spent in one year.

Since the question asks us to tell how long it will take him to reach $100,000 in savings, we can make the equation using previous value we have found:

100,000=305,000-50,000x, where x is the number of years passed.

So, this equation solves to -205,000=-50,000x, or x=4.1

I'm not sure how you want to express your answer, but it took him 4.1 years on top of the 6 years already passed to reach $100,000. This mean 10.1 years in total.

Hope this helps!

7 0
3 years ago
Which side lengths form a right triangle
aleksandrvk [35]

Answer:

A and C

Step-by-step explanation:

  • A right triangle consists of two legs and a hypotenuse.
  • To find hypotenuse, we use The Pythagorean Theorem
  • The Pythagorean Theorem = {a}^{2}  +  {b}^{2}  =  {c}^{2}
  • two legs meet at a 90° angle and the hypotenuse is the longest side

3 - 4 - 5

6 - 8 - 10

7 - 24 - 25

5 - 12 - 13

are some basic right triangle

(about more, look picture)

<em><u>Just use hypotenuse formula :</u></em>

3 x 3 = 9

4 x 3 = 12

5 x 3 = 15

Option C is correct

{5}^{2}  +  { \sqrt{6} }^{2}  =  { \sqrt{31} }^{2}

Option A is correct

{5}^{2}  +  {5}^{2}  =  { \sqrt{50} }^{2}

But B isn't correct

Hope this helps ^-^

4 0
3 years ago
Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?
Tresset [83]
Plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal


therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
-2+6=4
(2,4)
answer is (2,4)
6 0
3 years ago
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