The answer to this question is A. 120°
Answer:
c. 198π units²
Step-by-step explanation:
We have to find the surface area of a cylinder.
We know that surface area of a cylinder= 2πrh+2πr²
where r is the radius
and h is the height of the cylinder.
here h=2 units and r=9 units
Surface area= 2π×9×2+2π×9×9
= 198π units²
Hence, correct option is:
c. 198π units²
Step-by-step explanation:
Remember to follow PEMDAS. PEMDAS = Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
Note the equation:
y = (1/4)x + 1
Plug in a number to x, & solve to get the answer for the variable (y).
In this question, they give you 3 numbers to plug into x: 4, 8, 12. Plug them in:
<u>When x = 4</u>
y = (1/4)(4) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 4:
y = (1/4)(4) + 1
y = (1 * 4)/4 + 1
y = 4/4 + 1
y = 1 + 1
Simplify. Combine the terms:
y = 1 + 1
y = 2
when x = 4, y = 2.
<u>When x = 8</u>
y = (1/4)(8) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 8:
y = (1/4)(8) + 1
y = (1 * 8)/4 + 1
y = 8/4 + 1
y = 2 + 1
y = 3
when x = 8, y = 3.
<u>When x = 12</u>
y = (1/4)(12) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 12:
y = (1/4)(12) + 1
y = (1 * 12)/4 + 1
y = 12/4 + 1
y = 3 + 1
y = 4
when x = 12, y = 4.
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Answer:
she flew 1h 30m and ran 30m
Step-by-step explanation:
First we have to make 2 equations, one that represents the distance that it traveled and another that represents the time that it ran
x = time she ran
y =
time she flew
x + y = 2h
x * 12 + y * 76 = 120
we clear x in the first equation
x + y = 2
x = 2 - y
we replace x with (2 - y) in the second equation
x * 12 + y * 76 = 120
(2 - y) * 12 + y * 76 = 120
24 - 12y + 76y = 120
-12y + 76y = 120 - 24
64y = 96
y = 96/64
y = 3/2
this means that 1 hour and a half was flying
x = 2 - y
x = 2 - 3/2
x = 1/2
this means that half hour was runing
What is the underlined digit?