This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]
=1795/185.3772
=9.683
The answer is 9.683 yd^3
25/5 would be 5 as a whole number
Answer:
Choice B
The mathematical model that best fits the data is a polynomial of order 2 as shown on the attachment.
The predicted global mean temperature in 2015 is; 412.24
Step-by-step explanation:
The first step is to obtain a scatter plot of the data and then fit a trend line. A quadratic polynomial fits the data well considering the large value of the coefficient of determination of 0.9984.
To determine the global mean temperature in 2015 we substitute x with 14 in the quadratic model;
y = 0.4643(14)^2 + 0.7976 (14) + 310.07
= 412.24
<h3>
Answer: Choice B</h3><h3>2W+2( W+4 1/4) = 124 1/2</h3>
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Explanation:
L = length
W = width
"The length is 4 1/4 longer than the width" (paraphrase) so
L = W + 4 1/4
This means,
P = perimeter = 124 1/2
P = 2L+2W
2L+2W = P
2W+2L = P
2W+2( L ) = P
2W+2( W+4 1/4) = 124 1/2
