Answer:
192π yd²
Step-by-step explanation:
Surface area of a cylinder = 2πrh
Given, r = 8yd , h = 12yd
S. A = 2 × π × 8 × 12
S. A = 192π yd²
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Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The figure shows a kite
The kite has two pairs of consecutive and congruent sides and the diagonals are perpendicular
That means
TS=VS
TQ=VQ
TR=RV
we have


so

solve for x

<em>Find the value of RV</em>

substitute the value of x

Remember that
---> by segment addition postulate
we have

so

Answer:
PA) 8
PB) 45
Step-by-step explanation:
PA) Find the prime factors of each term in order to find the greatest common factor (GCF).
8
PB)
Step 1:
(8 x 5) + (16 x -1)
Step 2: Multiply
40 + 15
Step 3: Add
45
A. If you plot the points in a graph, it would look like that shown in the picture attached. If we use linear regression, the correlation is very poor. The coefficient of correlation (r2) is only 0.0017. There is no linear relationship between time and velocity.
B. The slope of the graph is equal to y2-y1/x2-x1, In this case, it would specifically be v2-v1/t2-t1
Slope = 0.8-0.2/20-10 = 0.06 miles/s^2
The slope represents the acceleration at time 10 to 20 minutes.
C. The table in the graph shows causation rather than correlation. The points in the data occur in a sequential manner.
Using a linear function, the correct option regarding the situation is given by:
C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The bill is modeled by a linear function, with an <u>intercept of $38 and a slope of $1.28</u>, hence it is given by:
C(x) = 1.28x + 38
The bill should be between $57 and $87 dollars per month, hence:
57 <= C(x) <= 87.
The values of x are:
C(x) >= 57
1.28x + 38 >= 57
x >= 19/1.28
x >= 14.8.
C(x) >= 87
1.28x + 38 >= 87
x >= 49/1.28
x >= 38.3.
Hence option C is correct.
More can be learned about linear functions at brainly.com/question/24808124
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