There were 24 questions on the test.
Because 18/24= 0.75
Let the width of the rectangle be W in.
Therefore, length = 2W in
Area of the rectangle, Ar = L*W = 2W*W = 2W^2
Also, perimeter of the rectangle, Pr = 2(L+W) = 2(2W+W) = 2(3W) = 6W
Then, perimeter of square, Ps = 52-6W
And, area of the square, As = [(52-6W)/4]^2 = [13-1.5W]^2 = (13-1.5W)(13-1.5W) = 169-19.5W-19.5W+2.25W^2 = 2.25W^2-39W+169
Therefore,
Total area, At = Ar+As = 2W^2+2.25W^2-39W+169 = 4.25W^2 -39W+169
For maximum area, the first derivative of the total area expression should be zero. Therefore;
dAt/dW = 8.5W - 39 = 0 => 8.5W = 39 => W = 39/8.5 = 4.588 in
Therefore, for maximum area, width (W) should be 4.588 in
The Keiko left the money for the gift C is 12 3/4 dollars.
Given that,
Keiko had $30 to spend on 3 presents. Gift A cost her 11 3/4 dollars, and Gift B cost her 5 1/2 dollars.
We have to find how much cash remained after gift C.
We convert the mixed number first
Gift A cost is 11 3/4=47/4
Gift B cost is 5 1/2=11/2
So, money left with Keiko for gift C:
Keiko spends money buying gift A is $47/4.
Keiko spends money buying gift B, $11/2.
The total money he got is $30.
Now, we can money left:
=- (47/4 + 11/2) + 30
=-69/4 + 30
=51/4
=12 3/4
Therefore, the money left with Keiko for gift C is 12 3/4.
To learn more about money visit: brainly.com/question/14253896
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If you tested the ratio of the corresponding sides' lengths, you would find that these two triangles are similar
Here is:
And the similarity statement would be:
two proportional sides and an angle confined
so: SAS
OMN~OJK
I hope that
helps!
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