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Wewaii [24]
3 years ago
7

Find the area of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
4 0

Answer:

<em>26.3 units² </em>

Step-by-step explanation:

A = A_{1} + A_{2}

A_{1} = 4 × 5 = 20

A_{2} = \frac{\pi r^2 }{2} ≈ 3.14 × 2 = 6.28

<em>A = 26.3 units²</em>

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Evaluate the following numerical expressions. 6 + 23 • 3 =
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6 + 23(3)

6 + 69

75

Hope this helps! ;)

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Write down the first three terms of the sequence whose nth term is given by 2n-5
likoan [24]

Answer:

- 3, - 1, 1

Step-by-step explanation:

To find the first 3 terms substitute n = 1, 2, 3 into the formula

a₁ = 2(1) - 5 = 2 - 5 = - 3

a₂ = 2(2) - 5 = 4 - 5 = - 1

a₃ = 2(3) - 5 = 6 - 5 = 1

The first 3 terms are - 3, - 1, 1

6 0
2 years ago
Can anyone help me???
Alenkinab [10]

Answer: think A

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3 0
2 years ago
Alicia has 3 vases. She wants 9 flowers in each vase. She buys enough flowers for 2 vases. For the third vase, she cuts 9 flower
Citrus2011 [14]

she can use all of the flowers. she cut down 9 and bought 18.

6 0
3 years ago
A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 120 square feet, a
erastova [34]
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.

Formula
Area = L * W

Givens
W = W
L = W + 12

Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0

This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.

a = 1
b = 12
c = - 120

w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done

L = w + 12
L = 6.489995 + 12
L = 18.489995

check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error

Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet

Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
5 0
3 years ago
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