Carl’s dog, Alice, has a pet ramp she uses to go up the bed. A picture of Alice on her pet ramp is shown above. Enter the length of the ramp in feet. Round your answer to the nearest hundredth. *

6.18 ft

Step-by-step explanation:

The ramp forms a right triangle.

We know two of the lengths of the right triangle, therefore, we would apply pythagorean theorem to find the longest length of the triangle, which is the length of the ramp.

The given lengths are 1.5 ft and 6 ft. The length of the ramp is the length of the longest side (hypotenuse length).

Thus, applying pythagorean theorem:

, where,

a = 1.5 ft

b = 6 ft

c = length of ramp

Substituting the values:

(nearest hundredth)

length of the ramp = 6.18 ft

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2