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4 years ago

Question 4 of 10

Mathematics

1 answer:

ludmilkaskok [199]4 years ago

5 0

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

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An employer interviews 12 people for four openings at a company. Five of the 12 people are women. All 12 applicants are qualifie

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Answer:

a) The employer can fill the four positions in 495 ways.

b) The employer can fill the four positions in 210 ways.

Step-by-step explanation:

The order is not important.

For example:

Selecting John, Laura, Mary and Tre'Davious is the same as selecting Laura, John, Mary and Tre'Davious.

So we use the combinations formula to solve this problem.

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.

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

(a) the selection is random

There are 12 people, and 4 are selected. So

$C_{12,4} = \frac{12!}{4!8!} = 495$

(b) exactly two selections are women?

There are 7 men and 5 women. We want to select 2 men and 2 women. So

$C_{7,2}*C_{5,2} = \frac{7!}{2!5!}*\frac{5!}{2!3!} = 210$

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4 years ago

How many feet does it take to make a 6 foot circle?

masha68 [24]

This is the concept of perimeter of figures, to get the length of material that is required to make a circle with diameter 6 ft, we are required to calculate for its circumference;
circumference, C= π*diameter
C=3.14*6=18.85 ft
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3 years ago

The table shows the relationship between the number of Calories Lucie burns while jumping rope and the number of minutes she jum

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Answer:

The amount of calories Lucie will burn by jumping for 1 minute is 8 calories

Step-by-step explanation:

The given data values are;

Minutes ${}$ Calories Burned