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Feliz [49]
3 years ago
6

Please help the following questions

Mathematics
1 answer:
34kurt3 years ago
7 0

Answer:

<em>Question 7. Option B,</em>

<em>Question 8. Option C</em>

Step-by-step explanation:

<em>Question 7.</em>

Let us create a proportionality, and solve for the value of s, through cross multiplication;

3 / 12 = s / 15,\\3 * 15 = 12 * s,\\12 * s = 45,\\\\s = 3.75\\\\Conclusion - Option B

<em>Question 8.</em>

We can solve this problem in a similar manner, through setting a proportionality and solving for the length of the shadow of the tree, which we can pose as x;

5 / 6 = 25 / x,\\5 * x = 6 * 25,\\5x = 150,\\\\x = 30 ft\\\\Conclusion - Option C

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aleksandrvk [35]

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7 0
3 years ago
A cabinet door has a perimeter of 62 inches its area is 228 in.² what are the dimensions of the door
Vlad1618 [11]
P=2(L+W)
A=LW


given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W

sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero

W-19=0
W=19

W-12=0
W=12

sub back

L=31-W
L=31-12
L=19
or
L=31-19
L=12

the doorway is 12in by 19in

4 0
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