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Ludmilka [50]
3 years ago
9

What is the area of the sector bound by the center of the circle and arc CD in the circle below? (1 point) Circle A is shown wit

h a radius labeled 8 feet and a central angle marked 35 degrees. 9.42 ft2 19.54 ft2 34.89 ft2 88.31 ft2
Mathematics
1 answer:
zzz [600]3 years ago
7 0

Answer:

19.54 square feet.

Step-by-step explanation:

The Area of sector of any circle can be calculated by the formula :

Area=\frac{pir^2.\alpha }÷360

Where alpha is the angle made at center of the circle.

In the given question r=8 ft and angle made at center alpha = 35 degrees.

Substituting these values in the formula Area= \frac{\pi(8)^2(35) }{360} =19.54ft^{2}

(Substituting π=3.14)

Answer:19.54 square feet.

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Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the o
Vitek1552 [10]

Answer:

Step-by-step explanation:

At home depot

Price of Christmas tree = $149.00

Discount = 15%

Amount discounted = 15% of $149

Amount discounted = 15/100 * $149

Amount discounted = 15 * 1.49

Amount discounted = $22.35

Amount she paid = $149-$22.35

Amount she paid = $126.65

At Lowe's:

Price of Christmas tree = $175.00

Discount = 260%

Amount discounted = 20% of $175

Amount discounted = 20/100 * $175

Amount discounted = 0.2 * 175

Amount discounted = $35

Amount she paid = $175-$35

Amount she paid at Lowe's = $140

<u><em>From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.</em></u>

<u><em></em></u>

<u><em>Amount she will save will be $140 - $126.65 = $13.35</em></u>

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3 years ago
Find the area of the figure.
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Answer: 13300

Step-by-step explanation:

3 0
3 years ago
A color printer prints 24 pages in 9 minutes. How many minutes does it take per page?
Gnom [1K]

Answer:

it gets almost 3 pages but it gets 2 pages per minute

Step-by-step explanation:

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When solving the equation 12x^2 - 7x = 6-2(x^2 - 1). Evan wrote 12x^2 - 7x = 6 - 2x^2 + 2 as his first step. Which property
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3 years ago
On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is
OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation.

P(x,y) - Original point.

k - Scale factor.

P'(x,y) - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

(P(x,y) = (10, 40), Q(x,y) = (70, 120), O(x,y) = (0,0), k = 5)

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]

P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]

P'(x,y) = (50,200)

Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]

Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]

Q'(x,y) = (350, 600)

Then, the length of the resulting segment is determined by following Pythagorean identity:

l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}

l_{P'Q'} = 500

The length of the resulting segment is 500.

3 0
3 years ago
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