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Marizza181 [45]
2 years ago
13

You push your younger sister on a swing one time and then allow your sister to

Mathematics
1 answer:
Ber [7]2 years ago
7 0

Answer:

My sister will swing the total distance = 40 feet

Step-by-step explanation:

On the first swing my sister travels a distance of 8 feet.

In every successive swing she travels 80% of the distance of the previous distance.

So the sequence formed by the distance traveled in every swing will be a geometric sequence.

First term of the sequence 'a' = 8 feet

common ratio 'r' = 0.80

Since this sequence is an infinite geometric sequence,

Sum of this sequence = \frac{a}{(1-r)}  [Since r < 1]

                                     = \frac{8}{1-0.8}

                                     = \frac{8}{0.2}

                                     = 40 feet

Therefore, my sister will cover the total distance = 40 feet

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RSB [31]

Answer:

z = 66

Step-by-step explanation:

QT is a midsegment. Thus, applying the midsegment theorem:

RS = 2(QT)

QT = z - 33,

RS = z

Plug in the values into the equation

z = 2(z - 33)

z = 2z - 66

Subtract 2z from each side

z - 2z = -66

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Divide both sides by -1

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5 0
2 years ago
Use the formula A = P(1 + r)" to solve.
Llana [10]

Answer:

Rate = 0.45 or 45%.

Step-by-step explanation:

20184 = 9600(1 + r)^2

(1 + r)^2 = 20184/9600 = 2.1025

Taking square roots of both sides:

1 + r = 1.45

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2 years ago
Type the length of the radius if the diameter is 6 cm
lyudmila [28]

Answer:

3

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5 0
3 years ago
How do i plug this in?
Temka [501]

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4 0
3 years ago
What is 56.398 rounded to the nearest tenth
Ratling [72]

The decimal place to the right of the tenths place is the hundredths place. The digit in that place is 9.

When the digit to the right of the place you're rounding to is more than 4, you increase the digit in the rounding place by 1.

Here, we have the hundredths digit is 9, which is more than 4, so we increase the tenths digit by 1. The rounded number is

... 56.4

_____

Another way to get there is to add 5 in the hundredths place (the place to the right of the one you're rounding to). When you do that, you get 56.448. Now, throw away all the digits to the right of the one you're rounding to. This leaves

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_ _ _ _ _ _ _

The reason I show this last method is to deal with cases like rounding 56.978. By the first rule, you're increasing the digit 9 by 1, which might be confusing. (it requires a carry into the next digit, making 57.0.) If you add .05 to this number, you get 56.978 +.05 = 57.028. Now when you throw away the digits to the right of the tenths digit, you have 57.0.

4 0
3 years ago
Read 2 more answers
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