The hypotenuse of a right triangle is 37 millimeters long. one leg of the right triangle is 12 millimeters long. what is the length of the other leg? 30 millimeters 35 millimeters 40 millimeters 47 millimeters

The lenght of the other leg is 35 milimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply Pythagorean Theorem. It states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other legs.

Mathematically speaking:

c ² = a ² + b²

Where: c= hypotenuse  

a and b = the other legs

Replacing with the values given:

37² = 12² + b ²

Solving:

37² - 12 ² = b²

1,369 -144 =b²

1,225 =b²

√1,225 =b

35= b

In conclusion, the correct option is 35 millimeters.

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.