4. A right triangle has legs with lengths of 6 feet and 9 feet. The hypotenuse of the triangle, in feet, is between:
A. 4 and 5
B. 6 and 9
C. 9 and 10
D. 10 and 11
E. 11 and 13

D. 10 and 11

Step-by-step explanation:

This problem would use pythagorean theorem because we're finding the hypotenuse of a right triangle. This is its standard equation:

The legs represent and respectively, and represents the hypotenuse. After plugging in the legs' respective values, the equation looks like this:

To isolate , you would find the square root of . In this case, we're just finding which integers is between. is the closest integer value below and is the closest integer value above . So the answer is D. 10 and 11.

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft