Find the area of each figure. (Or as much as u can)

Mathematics

1 answer:

Elenna [48]3 years ago

5 0

9514 1404 393

Answer:

7. 91 m²

8. 56 in²

9. 105 in²

10. 135 m²

Step-by-step explanation:

The formula for the area of a triangle is ...

A = 1/2bh

where b is the base length, and h is the height perpendicular to the base.

The formula for the area of a trapezoid is ...

A= 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them. Note that this formula is virtually identical to the triangle formula, with the triangle 'b' being replaced by (b1+b2).

Fill in the numbers and do the arithmetic. The result is shown in the attachment. (We have used the triangle formula for all, with b1+b2 being used for 'b' to find the area of the trapezoids.)

7. A = 1/2(14 m)(13 m) = 91 m²

8. 56 in²

9. A = 1/2(14 +16 in)(7 in) = 105 in²

10. 135 m²

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Y = A cos(Bx + C)
A - amplitude
$\frac{2\pi}{B}$ - period
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$y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}
\\
\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}
\\
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Phase shift: $- \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}$