Skylar8826
03.11.2020 •
Mathematics
The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 60. Find x.
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Ответ:
Perimeter of a triangle = add all sides
Both the legs of the isosceles triangle are always EQUAL.
x+4x-6+4x-6 = 60
9x-12 = 60
9x = 60+12
9x = 72
x = 8
Ответ:
Complete Question:
Alejandro jumped from a cliff into the ocean in Acapulco while vacationing with some friends.
Where t is the time in seconds and h is the height in feet
(a) How long did it take for Alejandro to reach his maximum height
(b) What was the highest point Alejandro reached
(c) Alejandro hits the water after how many seconds
(a) 0.5 seconds
(b) 484 feet
(c) 6 seconds
Step-by-step explanation:
Given
Solving (a): Time to reach maximum height
This is the maximum of the function and it is calculated using:
Where
So:
Solving (b): Highest point reached
Time to reach the highest point is 0.5.
So, the highest point is: h(0.5)
Solving (c): Time he hits water.
At this point, h(t) = 0
So;
Factorize
Divide both sides by -16
Expand
Factorize
Time can't be negative.
So: