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Studentka2010 [4]
3 years ago
8

Find the area of each trapezoid or kite

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

9514 1404 393

Answer:

  8)  42 in²

  9)  33 cm²

  10)  112 yd²

Step-by-step explanation:

8) The area is given by the formula ...

  A = 1/2(b1 +b2)h

  A = (1/2)(9 in +5 in)(6 in) = 42 in²

__

9) The area is half the product of the lengths of the diagonals.*

  A = 1/2(d1)(d2)

  A = 1/2(6 cm)(11 cm) = 33 cm²

__

10) As in the previous problem, ...

  A = 1/2(14 yd)(16 yd) = 112 yd²

_____

* This formula works for any quadrilateral with perpendicular diagonals.

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Answer:

x = 2.5

------------------

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There is a new Ferris wheel opening this year at Frontier city. The ride lasts for 18 minutes, tickets are just $2, and the heig
Maslowich

Answer:

  • Amplitude = 48
  • Interpretation: The vertical distance from the center line to either the highest point or the lowest point is 48 feet. It represents half the total vertical distance from peak to valley.

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

Explanation:

The facts "The right lasts for 18 minutes" and "tickets are just $2" are not relevant to this question.

All we care about really is the h(t) function.

The general sine function is

y = A*sin(B(x-C)) + D

where

  • |A| = amplitude
  • B is used to find the period T = 2pi/B
  • C is the horizontal phase shift
  • D is the vertical shift and y = D is the center line

Here we have A = 48 so |A| = |48| = 48 is the amplitude. If you graphed the h(t) function, you would find that y = 55 is the center line and y = 55+48 = 103 is the highest y value possible, while y = 55-48 = 7 is the lowest y value possible.

In short, the Ferris wheel reaches the highest point of 103 feet and the lowest point of 7 feet off the ground.

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3 years ago
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