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docker41 [41]
3 years ago
10

A 5 cm×11 cm\greenD{5\,\text{cm} \times 11\,\text{cm}}5cm×11cmstart color #1fab54, 5, start text, c, m, end text, times, 11, sta

rt text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of 12 cm\blueD{12\,\text{cm}}12cmstart color #11accd, 12, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Mathematics
2 answers:
sashaice [31]3 years ago
8 0

Answer:

42.5 square.cm

Step-by-step explanation:

Find the diagram attached

Area of the shaded portion = area of square - area of circle

Area of square = L²

Area of square = 11 × 11

Area of square = 121 square centimetres

Area of circle = pir²

r is the radius of the circle = 5cm

Area of the circle = 3.14×5²

Area of the circle = 3.14×25

Area of the circle = 78.5 square. cm

Area of the shaded region = 121 - 78.5

Area of the shaded region = 42.5 square.cm

Alisiya [41]3 years ago
3 0

Answer:

397.39cm

Step-by-step explanation:

did it on khan ur welcome <3

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Verify the identity 6cos^2(x) -3 = 3 - 6sin^2(x)
Lorico [155]

Answer:

It is proved that  6\cos ^{2}x -3 = 3 - 6\sin ^{2} x .

Step-by-step explanation:

We already have the identity of x as \sin ^{2}x + \cos ^{2}x = 1 .......... (1)  .

So, from equation (1) we can write that

\cos ^{2} x = 1 - \sin ^{2} x

⇒ 6\cos ^{2} x = 6 - 6 \sin ^{2} x

⇒ 6\cos ^{2} x -3 = 6 - 6 \sin ^{2}x -3

⇒ 6\cos ^{2}x -3 = 3 - 6\sin ^{2} x

Hence, it is proved that  6\cos ^{2}x -3 = 3 - 6\sin ^{2} x . (Answer)

5 0
3 years ago
a baseball team has a tub. the tub has a width of 150 and a length of 150 plus the height of 80. What is the capacity of the tub
Mrrafil [7]

Answer:

1800 liters

Step-by-step explanation:

150*150*80=1800000 cubic cm

1800000/1000= 1800 liters

Might seem like a lot but really isn't.

6 0
3 years ago
If i put a penny in a jar every day for a year how much money will i have
katovenus [111]
Hi there!

A year is 365 days, correct?
If we save our pennies up from January 1st to December 31st, you'd have 3 dollars (since 100 pennies is 1 dollar) and 65 pennies left over. If it was a leap year, however, you'd have 3 dollars and 66 cents. :)

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7 0
3 years ago
Toby can but T-shirts in packs of 5 for 13.00 or in packs of 2 for 7.22. How much money does he save by buying 30 T-shirts at th
Helen [10]

Toby saves 30.30 money by buying 30 T-shirts at better price.

Step-by-step explanation:

Cost of pack of 5 T-shirts = 13.00 money.

Cost of pack of 2 T-shirts = 7.22 money.

Toby wants to buy total T-shirts = 30 T-shirts.

<u>Case 1 </u>:

For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.

The cost for six packs of 5 T-shirts =  6*13.00 = 78.00 money.

<u>Case 2 </u>:

For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.

The cost for 15 packs of 2 T-shirts =  15*7.22 = 108.30 money.

The money saved = 108.30 -78.00 = 30.30 money.

Therefore, The better price to buy 30 T-shirts is 78.00 money.

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3 years ago
Which strategy best explains how to solve this problem? Claire bought a cup of coffee and two magazines each Saturday. The coffe
Nonamiya [84]
B is the best strategy. (You mentioned an option D, but it's not shown in your question!!)
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