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Olin [163]
3 years ago
12

craig likes to collect records. last year he had 10 records in his collection. now he has 15 records. what is the percent increa

se of his collection?
Mathematics
1 answer:
schepotkina [342]3 years ago
7 0

Answer:

His collection increased in a 20%.

Step-by-step explanation:

If 100% represents 10 records, what percentage would be for 12 records?

x = 12 100% / 10 = 120%

So, if we subtract 120% - 100%, it's gonna result in a difference of 20%, which means that 12 represents a 20% more, or his collection increased in a 20%.

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What is the value of v? v+48° v–46°
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Answer:

Step-by-step explanation:

Add v and 48°v

49v−46°

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A rectangle is placed around a semicircle as shown below. The length of the rectangle is
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4yd x 2yd =Area of square                     3.14yd = area of semicircle 
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Area of shaded section is 8yd - 3.14yd
this gives an area of 4.86yd  

4.86yd  

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Find 3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.
IceJOKER [234]
3x²-y³ - y³ - z        if x = 3, y = -2, z = -5

Simply plug in all the values :)

3(3²) - (-2³) - (-2³) - (-5)

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4 years ago
Mr. Randell has wrenches in a toolbox. The total mass of the wrenches in the toolbox is 3 kilograms. Mr. Randell rakes out one w
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8 0
3 years ago
For ΔABC, ∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C'
Sholpan [36]

Answer: It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.

Step-by-step explanation:

Since we have given that

In ΔABC,

∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20

In ΔA'B'C',

∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2

Since ΔABC gets a dilation by a scale factor of \dfrac{1}{2}

So, it becomes,

\dfrac{\angle A}{\angle A'}=\dfrac{1}{2}\\\\\dfrac{8x-10}{6x+10}=\dfrac{1}{2}\\\\2(8x-10)=6x+10\\\\16x-20=6x+10\\\\16x-6x=10+20\\\\10x=30\\\\x=\dfrac{30}{10}=3

Now, put the value of

\angle B=10(3)-40=30-40=-10\\\\and \angle B'=70-30=40

It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.

8 0
3 years ago
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