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cupoosta [38]
3 years ago
9

A trapezoid was broken into a rectangle and two equal

Mathematics
2 answers:
love history [14]3 years ago
5 0

Step-by-step explanation:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

5m - 1m = 4m \\   \frac{4m}{2}  = 2m \: each

For the area of the rectangle:

base \times height = 1m \times 4m = 4 {m}^{2}

For the area of each triangle:

\frac{1}{2} base \times height =  \frac{1}{2} (2m)(4m) = 4m^{2}

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

Yuki888 [10]3 years ago
5 0

Answer:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

For the area of the rectangle:

Step-by-step explanation:

For the area of each triangle:

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

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Step-by-step explanation:

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Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

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