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frosja888 [35]
3 years ago
13

Find the shaded area, screenshot provided please help I have an online exam, and I only have 10 minutes remaining

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer:

157.1

Step-by-step explanation:

If you split the blue shape like in the picture, it shows that there is 1 large semicircle and 2 smaller ones.

The area of a semicircle is (pi×radius²)÷2

First, you would find out the area of the large semicircle by substituting in the numbers:

(3.142×10²)÷2=157.1

Then you would find out the area of the smaller semicircle:

The diameter of the semicircle is 10 so to find the radius you would half it.

(3.142×5²)÷2=39.275

To find the area of the whole shape, you would have to take away 39.275 and then add it back on so the answer would be 157.1

Hope this helps :)

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Four CDs and 4 DVDs cost $164. The cost of the 4 CDs is half the cost of the
Andrej [43]

Answer:

$13.67

Step-by-step explanation:

Let's say that CD= c and DVDs= d. Four CDs and 4 DVDs cost $164, so the equation will be:

i.  4c + 4d= 164

The cost of the 4 CDs is half the cost of the  4 DVDs, to put into an equation it will be:

ii.   4c= 0.5(4d)

     4c= 2d

     d= 2c

Then we can substitute the second equation (ii) into the first equation (i). The calculation will be:

4c + 4d= 164

4c + 4(2c)= 164

4c+ 8c= 164

12c= 164

c=13.67

The cost for each CD is $13.67

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=R%20%3D%20%5Csqrt%7B%20%5Cfrac%7Bax%20-%20P%7D%7BQ%20%2B%20bx%7D%20%7D%20" id="TexFormula1" ti
Phantasy [73]

Step-by-step explanation:

r = \sqrt{ \frac{ax - p}{q + bx} } \\  {r}^{2}  =  \frac{ax - p}{q + bx}

r² (q + bx) = ax - p

qr² + bxr² = ax - p

qr² + p = ax - bxr²

qr² + p = x (a - br²)

x =  \frac{q {r}^{2}  + p}{a - b {r}^{2} }

7 0
4 years ago
Read 2 more answers
Alicia cashed her paycheck and used half her earnings to take three friends out to dinner. She spent $42.15 and she brought home
Phoenix [80]
If you would like to write an inequality to represent the situation, using X to represent the amount of Alicia's paycheck, you can calculate this using the following steps:

X ... the amount of Alicia's paycheck

X/2 - $42.15 >= $20
X/2 >= $20 + $42.15
X/2 >= $62.15     /*2
X >= $62.15 * 2
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The correct result would be <span>X >= $124.3</span>.
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3 years ago
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Elanso [62]

Answer:

Step-by-step explanation:

Original price that she paid for the dish washer is £240. She wants to sell it and make a profit of 25%. It means that price at which she would make a profit of 25% is

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To determine the price tag of 40% discount and that would still ensure that she makes £300,

Let x represent the price tag in £. It means that a discount of 40% on £x would be 300. A discount of 40% on £x is expressed as

x - (40/100 × x) = x - 0.4x = 0.6x

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So the price tag will be £500

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Answer:

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Step-by-step explanation:

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