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Simora [160]
3 years ago
7

Can help me find area and perimeter step by step

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer:

  • area: 16.28 ft²
  • perimeter: 17.05 ft

Step-by-step explanation:

The figure is shown as being composed of a semicircle and a triangle. You know the formula for the area of a circle is ...

  A = πr²

The radius of the semicircle is half its diameter, so is (4 ft)/2 = 2 ft. Then the area of a circle with radius 2 feet is ...

  A = π(2 ft)² = 4π ft²

Our semicircle has half that area, so ...

  area of semicircle = (4π ft²)/2 = 2π ft² ≈ 6.283 ft²

__

The area of the triangle is given by the formula ...

  A = (1/2)bh

Here, the base is shown as 4 ft, and the height is shown as 5 ft. Then the triangle area is ...

  triangle area = (1/2)(4 ft)(5 ft) = 10 ft²

So, the total area of the composite figure is ...

  figure area = area of semicircle + triangle area

  = 6.283 ft² + 10 ft² ≈ 16.283 ft² . . . . area of the figure

__

The perimeter of the curved portion of the semicircle is half the circumference of a circle of radius 2 ft. It will be ...

  curved perimeter = (1/2)(2πr) = πr = π(2 ft) = 2π ft ≈ 6.283 ft

The length of each side of the triangle can be found from the Pythagorean theorem. Each side of the triangle is the hypotenuse of a right triangle with legs 2 ft and 5 ft. Then it will be ...

   triangle side length = √(2² +5²) ft = √29 ft ≈ 5.385 ft

The total perimeter is ...

   perimeter = 2 × triangle side length + semicircle length

  = 2×(5.385 ft) + 6.283 ft = 17.054 ft

The perimeter of the figure is about 17.05 feet.

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At the start of the month, the value of an investment was $73.42. By the end of the month, the value of the investment changed b
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Answer:

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Step-by-step explanation:

Given:

At the start of the month, the value of an investment was $73.42.

By the end of the month, the value of the investment changed by a loss of $13.53.

Question asked:

What was the value, in dollars, of the investment at the end of the month?

What was the percent loss?

Solution:

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Loss = $13.53.

<u><em>The value, of the investment at the end of the month = The value of an investment at the start of the month - loss</em></u>

The value, of the investment at the end of the month = $73.42 - $13.53

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Thus, the value, of the investment at the end of the month is $59.89.

Now, we will find percent loss:-

Percent\ loss = \frac{Loss}{value\ of \ investment\ at \ start}

                    =\frac{59.89}{73.42} \\=0.81\%

Thus, percent loss on investment by the end of the month is 0.8%.

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Step-by-step explanation:

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