Answer:
The 3rd statement best describes the graphs.
Step-by-step explanation:
The 3rd statement best describes the graphs because they must be similar. The two triangles cannot be congruent because Triangle A must be dilated to become Triangle B.
Multiplying by a scale factor of 1/2 would cause the shape to shrink, but multiplying by a scale factor of 2 would cause the shape to grow.
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²
Answer:
50/p increases from a small positive number to a big positive number.
Step-by-step explanation:
p is in the denominator. This means that p and the value of the expression 50/p are inverse proportional. So for a big value of p, 50/p has a small positive value. For a small value of p, 50/p has a high positive value.
what happens to the value of the expression 50/p as p decreases from a large positive number to a small positive number?
50/p increases from a small positive number to a big positive number.
For example
50/1000 = 0.05
50/1 = 50
Given that the mean is $9.5 and the standard deviation is $1.30, the standard error will be given by:
σ/√n
where
σ-standard deviation
n=sample size
thus, we shal have:
1.30/√20
=0.2906
Next we find the margin error
0.2906*2=0.581
thus the confidence interval will be:
(9.5+0.581, 9.5-0.581)
=(10.081,8.919)
Alright! First you'd subtract the amount of the part ($44) from your total ($179), then you'd divide by the rate of cost ($45). Your equation would be:
($179 - $44) ÷ $45 = h.
Then you solve:
($179 - $44) = $135
($135 ÷ $45) = 3
h = 3.
The answer is 3 hours.
