Answer: 12.1 ft
Step-by-step explanation:
A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.
c² = a² + b²
Where:
c = hypotenuse
a = base
b = Height
c² = 11² + 5²
c² = 121 + 25
c² = 146
c = √146
c = 12.1 ft
Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Jeremiah travels 8 mph faster than Ermias, hence their velocities are:
x, x + 8
They travel in opposite directions, hence in one hour they are 2x + 8 apart.
In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:
8(2x +8) = 240
2x + 8 = 30
2x = 22
x = 11.
Then:
- x = 11 + 8 = 19 -> Jeremiah.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
54693.47836
Step-by-step explanation:
Order of operations PEMDAS
Do the multiplication and division first - each separately
Then add and subtract the answer you get to get the final answer.
9514 1404 393
Answer:
B, B
Step-by-step explanation:
A model of 9/12 will have 12 parts, 9 of which are shaded.
A model of 3/4 will have 4 parts (1/3 as many), 3 of which are shaded. Each part of this model will correspond to 3 parts of the 9/12 model. Hence, each part is 3 times the size of a part in the 9/12 model.
B) 1/3 times as many
B) 3 times the size
