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BaLLatris [955]
3 years ago
8

35% of what number is 56 ?

Mathematics
1 answer:
lidiya [134]3 years ago
6 0

Answer: 19.6

hope that helps :)

Step-by-step explanation:

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Triangle HJK is transformed to similar triangle H’J’K’: A coordinate plane is shown. Triangle HJK has vertices H at 8 comma 8, J
Serggg [28]

We are given coordiates of vertices of triangle ΔHJK as H(8,8), J(8,4), K(4,4)

and coordinates of transformed triangle ΔH’J’K are H'(2,2), J'(2,1), k'(1,1).

We can clealry see that if we divide each value in coordinate by 4, we get the coordinates of the transformed triangle.

Let's see, what's dilation being applied there : H(8,8) ---> 1/4 (8,8) = H' (2,2) ,

J(8,4) ---> 1/4(8,4) = J'(2,1) and

K(4,1) ---> 1/4 (4,4) = K'(1,1).

So, we can clearly see that each coordinate is being multiplied by 1/4.

So, we can say the scale factor of dilation is 1 over 4, that is 1/4.


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3 years ago
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One million people have equal chances of being called by telephone from a broadcasting show. Determine the probability of one pa
Alekssandra [29.7K]
One of one million people.
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3 years ago
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Joe is taking out a five year loan with a 7% interest rate compounded quarterly to buy a $4000 car. What will he have paid in to
Sergio [31]

Answer:

$5659.11

Step-by-step explanation:

We are given;

  • Time of loan maturity is 5 years
  • Rate of compound interest is 7% compounded quarterly
  • Principal amount of the car is $4000

We are required to determine the total amount he paid at the end of 5 years..

The concept being tested is compound interest;

We are going to use the compound interest formula;

Amount = P(1+r/100)^n

Where P is the the principal amount

r is the rate of interest

n is the interest periods

In this case;

n = (5 × 4) = 20

r = 7 ÷ 4 = 1.75 ( as the money was compounded quarterly)

Thus;

Amount =$ 4000 ( 1 + 1.75)^20

            = $4000 (1.0175)^20

            = $5659.11

Therefore, the money that Joe will have paid at the end of 5 years is $5659.11

6 0
4 years ago
6. The perimeter of the figure below is equal to 150 cm. What is the length of the longest
vampirchik [111]

Answer: 29 centimeters long

Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)

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2 years ago
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Which graph represents the function fx) =|x–4?
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The image below shows the graph f(x) = |x| – 4

<em>Hope this helps! </em>:)

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