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yarga [219]
1 year ago
8

Find the quotient. Simplify your answer.

Mathematics
1 answer:
brilliants [131]1 year ago
8 0

Let's see

\\ \rm\Rrightarrow \dfrac{s+1}{s^2+1}\div \dfrac{s^2}{6s^2}

\\ \rm\Rrightarrow \dfrac{s+1}{s(s+1)}\div\dfrac{1}{5s^2}

\\ \rm\Rrightarrow \dfrac{1}{s}\times{5s^2}

\\ \rm\Rrightarrow \dfrac{5s^2}{s}

\\ \rm\Rrightarrow 5s

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In the figure above line m is parallel to line n.
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<u>Given</u>:

Line m is parallel to line n.

The measure of ∠1 is (4x + 15)°

The measure of ∠2 is (9x + 35)°

We need to determine the measure of ∠1

<u>Value of x:</u>

From the figure, it is obvious that ∠1 and ∠2 are linear pairs.

Thus, we have;

\angle 1+\angle 2=180^{\circ}

Substituting the measures of ∠1 and ∠2, we get;

4x+15+9x+35=180

             13x+50=180

                     13x=130

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Thus, the value of x is 10.

<u>Measure of ∠1:</u>

The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1

Thus, we have;

\angle 1 =4(10)+15

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\angle 1=55^{\circ}

Thus, the measure of ∠1 is 55°

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3 years ago
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A really big one that is larger that the acute angel
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Find the volume of a cone with a diameter of 5.5 km
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Answer:

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Answer:

If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.

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1 3/4 can be rewritten as an improper fraction- 7/4.

3 1/2 can also be rewritten as an improper fraction- 7/2.

Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.

This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs  a lot more than that.

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