9514 1404 393
Answer:
48°
Step-by-step explanation:
Supplementary angles total 180°.
m∠A +m∠B = 180°
(6x -30)° +(8x +28)° = 180°
14x = 182 . . . . . . . . . . . . . . . . divide by ° and add 2
x = 13 . . . . . . . . . . . . . . . . . . . .divide by 14
Then the measure of angle A is ...
m∠A = (6·13 -30)° = 6(13 -5)° = 6·8°
m∠A = 48°
Answer:
Part a) 
Part b) 
Part c) 
Part d) 
Step-by-step explanation:
Part a) The difference of the squares of 2m and 7n.
we know that
The difference of the squares formula is equal to

substitute

Part b) The square of the difference of x and 8y
The formula of the square of the difference between two numbers is equal to

substitute

Part c) The tripled product of 6a and b^2
we have

Part d) The product of the sum of a and b and their difference
The expression is equal to

The expression represent the difference of the squares between a and b
so

Answer:
It all depends on whether the smaller cylinder is wider than the taller one. If that is the case, then they would have the same volume, roughly, because they would still take up the same amount of space, just in different shapes. If they are the exact same width, then the taller one would have the larger volume, since it would have a larger volume, because it would take up more space.
Step-by-step explanation:
Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
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