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we conclude that the dimensions and area of the scaled figure are:
- l₂ = 48 in
- w₂= 32in
- A₂ = 1,536 in^2
How to find the dimensions of the large rectangle?
First, we know that the large rectangle is the smaller rectangle rescaled, with a scale factor k = 4.
This means that each dimension of the smaller rectangle must be multiplied by 4 to get the correspondent dimension on the larger rectangle.
The dimensions of the smaller rectangle are:
l₁ = 12in
w₁ = 8in
Then the correspondent dimensions of the large rectangle are:
l₂ = 4*12in = 48 in
w₂= 4*8in = 32in
Now, the area of the large rectangle is given by the product between the two dimensions, we will get:
A₂ = 48in*32in = 1,536 in^2
Then, we conclude that the dimensions and area of the scaled figure are:
- l₂ = 48 in
- w₂= 32in
- A₂ = 1,536 in^2
If you want to learn more about rectangles:
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Answer:
ans = p=7
Step-by-step explanation:
10p-3=2(12+4p)-7
10p=24+8p-7-3
10p-8p=14
2p=14
p=14/2
<u>p=7</u>
The correlation coefficient tells that every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Using technology
The mean= x bar = 26.4667
The mean = y bar= 0.86
The standard deviation= Sx= 0.2251
The standard Deviation Sy= 0.0438
The Correlation Coefficient= r = -0.8111
The slope= b= r* Sy/Sx= -0.15789
The intercept is 5.0389
(d)<u><em> Every increase </em></u>in sea <u><em>surface temperature</em></u> of one degree Celsius will result in an average of <em><u>0.1578 fewer</u></em> centimeters of <em><u>coral growth</u></em> per year.
Here the independent variable is X the sea surface temperature and dependent variable is the Y coral growth.
As the temperature decreases which is along x- axis the growth increases along y axis.
From the given options the option d is the best answer according to the question given.
The same values are calculated using different technology .
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(−∞,0)∪(0,∞)(-∞,0)∪(0,∞)
{x|x≠0}