A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 26 centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.1 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

c ≅ 35.4 cm.

Step-by-step explanation:

To find the length of the Hypotenuse of a triangle, the formula  a² + b² = c² will need to be used. Therefore:

26² + 24² = c² (c is the hypotenuse)

1252 = c²

√1252 = c

c ≈35.38

Round to tenths place:

c ≅ 35.4 cm. This is the Hypotenuse of the triangle.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.