Please help for brainliest !!
1 answer:
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Answer:
x =
Step-by-step explanation:
First, you have to leave 2x by itself on the left side of the equation:
2x = 60/8
Then divide,
x = 15/4
Simplified fraction: x =
Answer:
a) It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.
b) Izzy runs 1.30 miles on dry days.
c) Izzy saves 3 minutes and 12 seconds cutting through the woods.
Step-by-step explanation:
This problem can be solved by a simpe rule of three problem.
a) On rainy days, she runs 1.2 + 0.5 = 1.7 miles.
The problem states that for rainy days, she runs 7.5 miles per hour. We know that in a hour, Izzy will run 7.5 miles. We want to know how long it takes for her to run 1.7 miles. So
1 hour - 7.5 miles
x hours - 1.7 miles
7.5x = 1.7
x = 0.226 hours
It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.
b) Now we have a right triangle, where the sides are the 1.2 miles and the 0.5miles, and the path through the woods x is the hypotenuse.
So, we apply the pythagorean theorem.
So, Izzy runs 1.30 miles on dry days.
c) The first step for this question is knowing how long it takes for Izzy to run 1.30 miles at 7.50 miles a hour. So:
1 hour - 7.50 miles
x hours = 1.30 miles
7.50x = 1.30
x = 0.173 hours
So, it takes Izzy 0.173 hours = 10.4 minutes = 10 minutes 24 seconds to run through the woods.
13' 36''
-10' 24''
3' 12''
Izzy saves 3 minutes and 12 seconds cutting through the woods.
Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.
You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:
ft.
Answer: the height of the statue is 2.0565 ft.