You have to use the geometric mean of right triangles here. Your ratio is set up like this:

. That gives you

and that

. To find z in the second part, use the Pythagorean Theorem.

and z = 6. In the third part, the student should have had the length of the hypotenuse as the denominator in the second ratio, which is 8. So your answer there is the second one down. In order to do that last one you need to find the hypotenuse in the triangle that has legs of 4 and 10. Using Pythagorean's theorem we find that that length is

. Now set up your geometric mean:

. Cross multiply to get 4x + 16 = 116 and that 4x = 100. Solve for x to get x = 25
Answer:
Step-by-step explanation:
Given
Rate of flow = 1.6gallons per minute
Amount of gallon bucket = 4gallons
Required
Time taken to fill 4gallon bucket
Rate = Amount of gallon/Time
Time = Amount of gallon/Rate
Time = 4/1.6
Time = 2.5
Hence it will make 2.5minutes to fill 4gallon bucket
Answer:
1,000,000,000
Step-by-step explanation:
Answer=13 feet long
This information describes a right triangle, with sides 5ft and 12ft.
a²+b²=c²
5²+12²=c²
25+144=c²
169=c²
√169=√c²
13=c
The ladder needs to be 13ft long
Answer:
D.7
Step-by-step explanation:
