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I am Lyosha [343]
3 years ago
12

I need help on number 2

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

9514 1404 393

Answer:

  a. 405

  b. -2

  c. 5

  d. 43

Step-by-step explanation:

I don't like doing arithmetic any more than you do, so I let a calculator do it for me. A spreadsheet works well for this, too. The function values are shown in the attachment.

Put the function argument where the variable is and do the arithmetic.

  a. h(4) = 5·3^4 = 405

  b. d(2) = 7 -9(2 -1) = -2

  c. h(0) = 5·3^0 = 5

  d. d(-3) = 7 -9(-3 -1) = 43

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An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid.
swat32

Answer:

First option: 27 square units.

Step-by-step explanation:

The formula for calculate the area of a trapezoid is:

A=\frac{h}{2}(B+b)

Where h is the height, B the larger base and b the smaller base.

Observe the figure of the trapezoid called ABCD. The length of the larger base (AB) is 12 units and the lenght of the smaller base (CD) is 6 units, but the height h is unknown, so you need to find it.

You can observe in the figure that two equal right triangles are formed, whose opposite side is the height "h". If you calculate the opposite side of one of those triangles, you will  obtain the height of the trapezoid.

For this, you can use the identity tan\alpha=\frac{opposite}{adjacent}.

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tan(45\°)=\frac{h}{3}\\(3)(tan(45\°)=h\\3units=h

Finally substitute into A=\frac{h}{2}(B+b):

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3 years ago
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Answer:

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Step-by-step explanation:

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