<h3>
Answer:</h3>
A: 6 ft²
B: 3 ft² is the area of each of the two congruent triangles
<h3>
Step-by-step explanation:</h3>
Part A. As with a rectangle, the area of a parallelogram is the product of base length and height.
Area = (8 ft)·(3/4 ft) = 6 ft²
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Part B. If you cut the area into two halves, each half will have half the area of the original. (That should not be a surprise.)
triangle area = (6 ft²)/2 = 3 ft²
If the triangles are created by a diagonal across the original figure, each will have a base length and height that is the same as that of the original figure. The area of a triangle is half the product of base and height, so each triangle will have area ...
triangle area = (1/2)bh = (1/2)(8 ft)(3/4 ft) = 3 ft²
Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
Answer:
14(cos(330 degrees) + i sin(330 degrees))
option D
Step-by-step explanation:
edge 2020
-18 hope this doesn’t get hate from people that a gods at this app and don’t know how to mind there beeswax
