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Pythagorean Theorem with Known Legs

stepan [7]

you're given the pythagorean theorem, which is a^2 + b^2 = c^2.

what you're trying to find is ?, which is the number under the radical.

let's pretend one leg is a and the other is b.

a = 9

b = 10

so let's plug it into the equation. we get 9^2 + 10^2 = c^2

so that equals 81 + 100 = c^2

181 = c^2

so c will equal the square root of 181. therefore, ? = 181.

hope i helped! good luck.

5 0

2 years ago

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Identify all solutions for a triangle with A = 38 degrees b = 10, and a= 8. Round to the nearest tenth.

rjkz [21]

Answer:

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Step-by-step explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77

5 0

3 years ago

The sign of the product of –35 and –625 is

Anarel [89]

Step-by-step explanation:

The mathematical sign for the operation is subtraction.

To Solve This You Will Need To;

1] The sign of the product of -35 and -625 is;

It's going to be;

-35--625

The negative sign will turn into addition sign before you can operate it. So it's going to be;

-35+625=590(positive)

It's just like subtracting 35 from 625.

2] The sign of the product of 263 and 0 is;

263-0

With this no quantity is going to be subtracted so the 263 will remain the same. 

So 263-0=263(positive)

3] The sign of the product of -21 and 451 is;

-21-451

With this you won't subtract but rather you'll add and when you add the answer is going to be -472

-472(negative)

4] The sign of the product of -350 and 89 is;

-350-89

With this you will add it but you won't subtract the negatives so it's going to be;

-350-89=-439(negative)

Hope I am Correct I didn't really understand your question well. But Good Luck:)

3 0

3 years ago

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The ratio of students who wear glasses to the total number of students in the class is 2:5 if there are 14 students who wear gla

vazorg [7]

Answer:

35 students in the class.

Step-by-step explanation:

If there are 5 students in the class, then 2 of them would wear glasses and 3 of them wouldn't. (Equation 1)

Now, there are 14 students how are wearing glasses.

We just times the whole Equation 1 by 7.

If there are 5 x 7 = 35 students in the class, then 2 x 7 = 14 of them would wear glasses and 3 x 7 = 21 of them wouldn't.

So, there are 35 students.

8 0

2 years ago

Write the equation of the line in slope-intercept form that has the following points: (4, 5) (-1, 2)

Dima020 [189]

Answer:

C. y = 3/5x + 13/5

Step-by-step explanation:

8 0

2 years ago