Answer:
c. 6.5 seconds.
Step-by-step explanation:
We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula 
, where h is the height of the plane at t seconds.
To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute 
in our given formula and solve for t as:
Take square root of both sides:
Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.
Answer:
A: 779 cm²
B: 1837 cm²
Step-by-step explanation:
For both problems, use the formula for surface area of a cylinder:
SA = 2πr² + 2πrh
2πr² is the two bases.
2πrh is the curved surface.
<u>PROBLEM A</u>
"the cylinder is 60 cm long" is h = 60.
If given diameter, you can find "r" by dividing it by 2. d = 2r
Given d = 4, then r = 2.
SA = 2πr² + 2πrh
SA = 2π2² + 2π2(60)
SA = 8π + 240π Add
SA = 248π Exact answer
SA ≈ 779.114978 Answer on calculator
SA ≈ 779 Rounded answer
Remember to include the units.
The surface area is about 779 cm².
<u>PROBLEM B</u>
"80 cm long" h = 80.
"circumference of 22 cm". C = 22. Remember C = 2πr. Find "r".
C = 2πr
22 = 2πr
11 = πr
r ≈ 11/π
SA = 2πr² + 2πrh
SA = 2π(11/π)² + 22(80) Substitute 2πr with the circumference.
SA ≈ 1837.030992 Answer on calculator
SA ≈ 1837 Rounded answer
Remember to include the units.
The surface area is about 1837 cm².
Answer:
x > 48
Step-by-step explanation:
Given
x - 2 > 22 ( add 2 to both sides )
x > 24 ( multiply both sides by 2 )
x > 48
Answer:
5(x+2)=6x+3x−14
Step 1: Simplify both sides of the equation.
5(x+2)=6x+3x−14
(5)(x)+(5)(2)=6x+3x+−14(Distribute)
5x+10=6x+3x+−14
5x+10=(6x+3x)+(−14)(Combine Like Terms)
5x+10=9x+−14
5x+10=9x−14
Step 2: Subtract 9x from both sides.
5x+10−9x=9x−14−9x
−4x+10=−14
Step 3: Subtract 10 from both sides.
−4x+10−10=−14−10
−4x=−24
Step 4: Divide both sides by -4.
−4x
−4
=
−24
−4
x=6
Answer:
x=6
Answer:
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Step-by-step explanation:
so yea lmk if is right
