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otez555 [7]
2 years ago
5

The diagram shows a metal plate in the shape of a rectangle. The rectangle has length 20 cm and width 12 cm. Two identical circl

es, each of diameter 6 cm, have been cut out of the plate. Work out the area of the shaded region of the metal plate. Give your answer correct to the nearest cm2. *will mark brainliest*

Mathematics
1 answer:
Anna007 [38]2 years ago
3 0

Answer:

A ≈ 183 cm²

Step-by-step explanation:

Step 1: Find the area of the 2 circles

A = πr²

r = 6/2 = 3

A = π(3)²

A = 9π

Since there are <em>2</em> circles, 9π(2) = 18π

Step 2: Find area of <em>entire </em>rectangle

A = lw

A = 12(20)

A = 240

Step 3: Subtract the area of the circles from the area of the entire rectangle

240 - 18π

Shaded area = 183.451 cm²

And we have our answer!

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The manager suggests that Darryl should purchase the deli’s bread from Store D because they sell the most loaves of bread for th
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Answer:

yes

Step-by-step explanation:

because it sells the best price

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2 years ago
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Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
SOVA2 [1]

Answer the answer to your question is $7.50

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2 years ago
Which product is positive?
Virty [35]

Answer:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)

Step-by-step explanation:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction) = (-2/5)(-8/9)(1/3)(2/7)

Let's take the fraction and eliminate the negative sign because negative multiply negative= positive

(-2/5)(-8/9)(1/3)(2/7)= 32/945

4 0
2 years ago
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The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).
kifflom [539]

Answer:

3x^2 + 8  

Step-by-step explanation:

Given functions,

f(x) = 3x + 8 ----(1)

g(x) = x^2 -----(2)

Since,

(fog)(x) =  f( g(x) )      ( Composition of functions )

=f(x^2)             ( From equation (2) )

=3x^2 + 8          ( From equation (1) )

Hence,

(fog)(x)=3x^2 + 8

Step-by-step explanation:

8 0
2 years ago
Prove algebraically that the recurring decimal 0.472 can be written as<br> 17<br> 36
Katen [24]

Given:

The recurring decimal is 0.47\overline{2}.

To prove:

Algebraically that the recurring decimal 0.47\overline{2} can be written as \dfrac{17}{36}.

Proof:

Let,

x=0.47\overline{2}

x=0.472222...

Multiply both sides by 100.

100x=47.2222...     ...(i)

Multiply both sides by 10.

1000x=472.2222...        ...(ii)

Subtract (i) from (ii).

1000x-100x=472.2222...-47.2222...

900x=425

Divide both sides by 900.

x=\dfrac{425}{900}

x=\dfrac{17}{36}

So, 0.47\overline{2}=\dfrac{17}{36}.

Hence proved.

8 0
2 years ago
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