Answer:
34 hours
Step-by-step explanation:
Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:
1 + 3×M + M = 45
1 + 4M = 45 Subtract 1 in both sides
4M = 44 Divide both sides by 4
M = 11 hours
So Maddie volunteered 11 hours, and Ryan volunteered
1 + 3×11 = 34 hours
Area = 12x16 / 2 = 96
answer
B. 96 sq. cm
Answer:
side length of the square = 10 cm
Explanation:The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm
This means that the length of the side of the square is also 10 cm
Hope this helps :)
Given
A mouse scurries across your kitchen floor at 2.0 feet per second.
Find out the mouse travel in 1.5 hours.
To proof
FORMULA
Distance = speed × time

Convert feet per second into miles per second

As given in the question
Time = 1.5 hours
1 hours = 3600 second
Time convert in the second
Time = 1.5 × 3600 second
= 5400 second
put all these value in the above formula
we get


= 2.04 (approx) miles
= 2.0 miles
Hence proved