Problem 1.
Think of the outer rectangle by joining the two 5 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 28 in.
The left and right sides measure 5 in. + 12 in. + 5 in. = 22 in.
Area of the outer rectangle = LW = 28 in. * 22 in. = 616 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 15 in. = 180 in.^2
Subtract the areas:
616 in.^2 - 180 in.^2 = 436 in.^2
Answer:
<span>A. 436 Square Inches
Problem 2.
Do the same thing as for problem 1. Join the two 4 in. segments with a line.
</span>
<span>Think of the outer rectangle by joining the two 4 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 24 in.
The left and right sides measure 4 in. + 12 in. + 4 in. = 20 in.
Area of the outer rectangle = LW = 24 in. * 20 in. = 480 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 13 in. = 156 in.^2
Subtract the areas:
480 in.^2 - 156 in.^2 = 324 in.^2
Answer:
</span><span>B. 324 Square Inches</span>
Answer:
no solution
Step-by-step explanation:
well first you gotta distribute
-5(-3 - w) + 4 = -5/6(24 - 6w)
15 + 5w + 4 = -20 + 5w
19 + 5w = -20 + 5w
+20 +20
39 + 5w = 5w
-5w -5w
39 ≠ 0
therefore there is no solution (which is the answer)
Answer:
€98.
Step-by-step explanation:
A 30% deposit is 0.30 * 840
= €252.
So there is 840 - 252
= €588 left to pay.
The amount of each monthly instalment
= 588 / 6
= €98.
Answer:
x = 466.7 ft
Step-by-step explanation:
The lower angle in the right triangle = 31° ( alternate angle )
Using the cosine ratio in the right triangle, with hypotenuse x
cos31° = 
= 
Multiply both sides by x
x × cos31° = 400 ( divide both sides by cos31° )
x = 
≈ 466.7
Answer:
x=3/4y-6
Step-by-step explanation:
Solve for x
-4x+3y=24
Add -3y to both sides.
-4x+3y+-3y=24+-3y
-4x=-3y=+24
Then Divide both sides by -4
-4x/-4= -3y+24/-4
x=3/4y-6
