What is the length of the hypotenuse of the triangle? Triangle A B C. Side A C is 8 centimeters and side C B is 15 centimeters. Hypotenuse A B is unknown. StartFraction 94 EndFraction cm StartFraction 161 EndFraction cm 17 cm 23 cm AWNSER ASPA!

The hypotenuse is 17

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 + 15^2 = c^2

64 + 225 = c^2

289 = c^2

Take the square root of each side

sqrt(289) = sqrt(c^2)

17 = c

17 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

where a and b are the legs and c is the hypotenuse.

In this triangle, 8 cm and 15 cm are the legs, because they form the right angle. The hypotenuse is unknown.

a= 8

b= 15

Solve the exponents on the left side of the equation.

8^2= 8*8= 64

15^2= 15*15= 225

Add 64 and 225

c is being squared. We want to get c by itself, so we must perform the inverse. The inverse would be taking the square root.

Take the square root of both sides.

c= 17 cm

The length of the hypotenuse is 17 centimeters.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x