One of the legs of a right triangle measures 7 cm and the other leg measures 3 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

about 7.6

Step-by-step explanation:

I got the measure of the hypotenuse to be about 7.6 because I did the Pythagorean theorem.

a^2+b^2=c^2

The value of a is the first leg (7cm), and the value of b is the second leg (3cm).

So, 7^2+3^2=58. Next, I found the square root of 58. The square root of 58 is 7.615773106. This value rounded to the nearest tenth is 7.6.

In conclusion, the measure of the hypotenuse rounded to the nearest tenth is about 7.6.

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.