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Lerok [7]
3 years ago
9

Ella calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?

Mathematics
1 answer:
torisob [31]3 years ago
3 0
I think that it is a
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If you have the option of choosing a loan that will accumulate 4%/ a interest compounded semi-annually compared to a loan that w
alexira [117]

Answer:

4%/ a interest compounded semi-annually

Step-by-step explanation:

The option that gives the lower interest rate payment would be more appropriate. to determine this calculate the effective interest rate

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

(1 + 0.04/2)^2 - 1 = 4.04%

(1 + 0.04/12)^12 - 1 = 4.07%

the choice should be 4%/ a interest compounded semi-annually

6 0
3 years ago
Geoff wants to make a 200 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with a 8% alcohol solution. What
Marina86 [1]

Answer:

Volume of 3% alcohol = 80 ml

Volume of 8% alcohol = 120 ml

Step-by-step explanation:

Final volume of 6% alcohol solution = 200 ml

Let the volume of 3% alcohol volume = a ml

Therefore, volume of 8% alcohol = (200 - a) ml

Equation for the given situation will be,

3a + 8(200 - a) = 6×200

3a + 1600 - 8a = 1200

1600 - 5a = 1200

5a = 400

a = 80 ml

Therefore, volume of 3% alcohol to be used = 80 ml

And volume of 8% alcohol to be used = (200 - 80) = 120 ml

8 0
3 years ago
17. When a single set of values is randomly divided into two equal groups, explain how the means of these two groups may be very
joja [24]

If you take 2 groups of equal cardinality, it could happen that, for example, many of the higher values go to the first group and therefore, many of the low values go to the second group, making their respective means quite different and different from the original sample mean. This could even go worse due to the possible existence of outliers, that is, values that are far different than the sample mean. An outlier tend to disrup the mean of a sample, but for smaller samples the result is much dramatic.

For example, let X be {1,2,3,4,5,6,7,8,9,100}

The elements of X sum 145, hence the mean of X is 14,5. Let divide X in two groups

Y = {1,2,3,5,9}

Z = {4,6,7,8,100}

The elements of Y sum 20, so its mean is 4

The elements of Z sum 125, so its mean is 25

Both means are quite different from each other and quite different from the mean of X. Note that if we take the mean of the means the result is 4+25/2 = 14,5 which is equal to the mean of X.

7 0
3 years ago
Point M is located at (3,7). If point M is translated 2 units to the left and 4 units down, what are the coordinates of M Q1 (-1
Natasha_Volkova [10]
The answer is simply (1,3) just subtract 2 from 3 and 4 from 7.
3 0
3 years ago
Read 2 more answers
A triangle has one side that measures 12 inches and another side that measures 33 inches. Which are possible side lengths of the
In-s [12.5K]

Answer:

Greater than 21

Less than 45

Step-by-step explanation:

You add and subtract the two numbers you are given.

33 - 12 = 21

The third side has to be bigger than 21.

33 + 12 = 45

The third side has to be less than 45.

It can be written in one math sentence:

21 < x < 45

5 0
2 years ago
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