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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You didn’t even show the picture?
Answer:
Step-by-step explanation:
Given that a study was conducted to find out if a new exercise program was more effective than an old one at improving cardiovascular fitness.
Subjects were randomly selected to participate and then randomly assigned to one of the two programs. After six months of exercising, they were given a score based on their fitness performance. Scores ranged from 19 to 73, with higher scores indicating higher performance.
Here there are two groups one for each program. After recording the scores groupwise, mean, std deviation of each group to be calculated.
Then independent sample test (option B) to be done.
Paired data set is not right because same person cannot be in two programs.
Here proportion is not recorded so D is wrong. Since variance is not checked anova is not right. Independence is not checked so E is wrong. Regression is wrong because there is no estimate for regression line here
B) is right.
Answer:
Step-by-step explanation:
To find the values of the angle which makes maximum r you use the derivative of r

If you equals this derivative to zero you obtain the value of the angle:

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.
hence, the answer is:

answer b