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3 years ago

11

Mr Dominguez divided 68 students into 4 groups of equal size. Which of the following correctly uses the distributive property to

find the number of students in each group?

1 answer:

JulijaS [17]3 years ago

8 0

The answer is 17 students in each group.

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Is ABD = CDB?? Justify the answer I will mark the brainiest :))

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Yes ABD=CBD since they both are just half of the triangle

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2 years ago

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If sec(theta) =25/24, find cot(theta) (Picture provided)

larisa [96]

Answer:

B

Step-by-step explanation:

By the definition,

$\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.$

If $\sec \theta=\dfrac{25}{24},$ we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

$\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.$

So,

$\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.$

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3 years ago

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RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly

tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

$C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120$

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

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3 years ago

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According to the competitive parity budgeting method, in order to attain their growth objective, they would need to have 46 percent share of the total industry marketing effort. The correct answer is B.

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3 years ago

Parallel lines s and t are cut by a transversal, r, as shown

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Answer:

18

Step-by-step explanation:

i just took the test and got a 100% :)

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3 years ago

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