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3 years ago

17/9 as a mixed number

Mathematics

2 answers:

Step2247 [10]3 years ago

6 0

9 fits into 17 ONE time, and EIGHT are left over.

So the answer is 1 $\frac{8}{9}$

Gennadij [26K]3 years ago

4 0

First, you divide 17/9
You will get 1, your remainder as 8.
Using your denominator, your answer will be 1 8/9

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prove that sin theta cos theta = cot theta is not a trigonometric identity by producing a counterexample

Zolol [24]

Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Begin with the right hand side:

R.H.S = cot θ = $\frac{cos \ \theta}{sin \ \theta}$

L.H.S = sin θ cos θ

so, sin θ cos θ ≠ $\frac{cos \ \theta}{sin \ \theta}$

So, the equation is not a trigonometric identity.

=========================================================

<u>Anther solution:</u>

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

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3 years ago

If you assume the samples are representative how many whole wheat bagels might you infer are sold at each store

Alexxandr [17]

Maurine owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole wheat bagels are sold at each store each day. Shop A has total of 50 bagels in sample and 10 are whole wheat bagels. Store B has a total of 100 bagels in sample and 23 are whole wheat bagels. Shop C has 25 total bagels in sample and 7 are whole wheat bagels.

We find fraction of whole wheat bagels to the sample for each shop using given information

Shop A = $\frac{10}{50} = 0.20$

Shop B = $\frac{23}{100} = 0.23$

Shop C = $\frac{7}{25} = 0.28$

The number of whole wheat bagels for each shop that sells 500 bagels per day

Shop A = $0.20 * 500= 100$

Shop B = $0.23 * 500= 115$

Shop C = $0.28 * 500= 140$

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3 years ago

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Find the number that we can place in the box, so that the resulting quadratic is the square of a binomial.

Arturiano [62]

We need a number to complete

$(x+c)^2=x^2+2xc+c^2$

Since we have

$2xc=\dfrac{4}{5}x \iff 2c=\dfrac{4}{5}\iff c=\dfrac{4}{10}=\dfrac{2}{5}$

And so the expanded square is

$\left( x+\dfrac{2}{5}\right)^2=x^2+\dfrac{4}{5}x+\dfrac{4}{25}$

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4 years ago

Sheryl's boss at always 21 pays a 5% commission on all sales. If Sheryl sells $140 worth of clothes, how much commission does sh

mariarad [96]

Answer:

She earns $7.

Step-by-step explanation:

5 percent of 140 is 7. You can think of this as taking ten percent of 140.0 by moving the decimal point one place to the left, 14, and then since 10 divided by 2 is 5, divide that by 2 and you get 7.

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3 years ago

What number is 118% of 80?

Tamiku [17]

Answer:

94.4

Step-by-step explanation:

1.18 is 118%

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3 years ago

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