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3 years ago

5

A group of health care workers were asked how many times per week they visited a gym. The data is shown on the dot plot. Select

the statements that are correct.

1 answer:

fiasKO [112]3 years ago

6 0

Answer:

the answer is b i think

Step-by-step explanation:

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In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is . After y

Alla [95]

Answer:

In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive x = 13 km closer to the mountain, the angle of elevation is 9°. Find the height of the mountain (round to one decimal place). Just enter the height value with one decimal. Do not enter the unit.

The height of the mountain is 1.2 km without unit it is only 1.2

Step-by-step explanation:

Given:

Two angle of elevation.

We have to find the height of the mountain.

Let the height be "h" .

Note:

Angle of elevation will increase as we move closer to the object.

Considering the distance from 3.5 ° as (13+x) km

Using trigonometric ratios:

For adjacent side "x".

⇒ $tan(\theta) = \frac{opposite}{adjacent}$

⇒ $tan(9) = \frac{h}{x}$ <em> ...equation (i)</em>

⇒ $x\times tan(9) = h$ <em>...equation (ii)</em>

For adjacent side "(13+x)"

⇒ $tan(\theta) = \frac{opposite}{adjacent}$

⇒ $tan(3.5) = \frac{h}{13+x}$ <em>...equation (iii)</em>

Dividing equation (i) and (iii).

⇒ $\frac{tan(9)}{tan(3.5)} =\frac{h}{x}\times \frac{13+x}{h}$

⇒ $2.58 =\frac{13+x}{x}$ <em>...cross multiplication</em>

⇒ $2.58x=13+x$

⇒ $2.58x-x=13+x-x$ <em>...subtract x both side</em>

⇒ $1.58x=13$

⇒ $x=\frac{13}{1.58}$

⇒ $x=8.22$ km

Plugging x=8.22 km in equation (ii) we can find h that is the height of the mountain.

So,

⇒ $x\times tan(9) = h$

⇒ $8.22\times 0.15 =h$

⇒ $1.23 = h$

The height of the mountain is 1.23 km with one decimal it is 1.2 km only.

4 0

4 years ago

Assume that 11 people, including the husband and wife pair, apply for 5 sales positions. People are hired at random. (1) what is

Andrew [12]

The probability that both the husband and wife are hired is $\frac{2}{11}$

<u><em>Explanation</em></u>

Total number of people = 11 and total number of sales positions = 5

So, the total possible number of ways for selecting 5 people from 11 people will be: $^1^1C_{5}$

Now if both the husband and wife are hired, then it means <u>the remaining (5-2)= 3 positions are filled from the remaining (11 -2) = 9 people</u>.

So, the possible number of ways for selecting 3 people from 9 people will be: $^9C_{3}$

Thus, the probability $= \frac{^9C_{3}}{^1^1C_{5}}=\frac{84}{462}=\frac{2}{11}$

4 0

3 years ago

What is the greatest common factor if 9 and 15

iVinArrow [24]

Answer:

3

Step-by-step explanation:

It is three because 3×5 is 15 and 3×3 is 9 so the greast common factore is 3.

3 0

3 years ago

If you roll a 6 sided die 4 times what is the probability of getting 3 2’s

sp2606 [1]

Answer:

1/6 x 1/6 x 1/6 = 1/36 x 1/6 = 1/216

You multiply the chances

Hope this helped

Step-by-step explanation:

5 0

3 years ago

Surface area of a triangular prism

Sever21 [200]

Surface area is 240 in^2

6 0

3 years ago