8y - 11y - -2 = -16
-3y + 2 = -16
-3y = -16 - 2 = -18
y = -18/-3 = 6
y = 6
Answer:
x= 69 y = 111
Step-by-step explanation:
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Use the triangle formed by the height of the trapezoid to find the lengths of the two sides of the trapezoid and the length of b2:
tan(60)=oppositeadjacent . Adjacent=5tan(60)=2.89 cm.
This finds the base of the triangle, which can be added twice to b1 to find b2: b2=8+2.89+2.89=13.78 cm.
Now, use the same triangle to find the length of the sides.
sin(60)=oppositehypotenuse . Hypotenuse=5sin(60)=5.77 cm.
Lastly, add all of the lengths together: b1+b2+2(l)=8+(2.78+2.78+8)+2(5.77)=33.32 cm.
Answer:
2
Step-by-step explanation:
12.6 divided by pi= 4.01
sqaure root of 4 is 2
Answer:
The rocket will reach its highest point about 2.04 seconds.
Step-by-step explanation:
The function:

Models the relationship between the height of the rocket and the time after launch t in seconds.
Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:

In this case, a = -4.9, b = 20, and c = 0. Thus:

The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.
Further Notes:
Then the maximum height of the rocket will be f(10/4.9):
