Answer:
87.92 mm²
Step-by-step explanation:
Given:
- Radius of circular base: 2 millimeters
- Height of cylinder: 5 millimeters
<u>It should be noted:</u>
- Surface area of cylinder: 2πrh + 2πr² (R = Radius; H = Height)
When the measures are substituted, we get the following expression:
Multiply the constants and substitute π as 3.14.
- ⇒ 20π + 2π(4)
- ⇒ 20π + 8π
- ⇒ 20(3.14) + 8(3.14)
Finally, simplify the expression to determine the surface area.
- ⇒ 20(3.14) + 8(3.14)
- ⇒ 62.8 + 25.12
- ⇒ 87.92 mm²
Answer:
2 4/16 = 2 1/4 lb
Step-by-step explanation:
The pointer is 4 of the smallest units above 2. There are 16 of those small units. Each 2 of those units is 1/8 pound, so when the pointer is on a multiple of 2 units, it is on a multiple of 1/8 pound. No guesswork is required to choose the correct weight to the nearest 1/8 pound.
2 4/16 = 2 1/4 lb . . . . the scale reading to the nearest 1/8 pound.
Answer:
- 48
Step-by-step explanation:
by PEDMAS, we evaluate the exponent first before the multiplication
(-12)·(-2)²
= (-12)·(4)
= - 48
Answer:
k=-6
Step-by-step explanation:
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Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:

Using the slope formula. we get



Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:




Adding 5 on both sides, we get


Therefore, the equation for the given data is
.