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mestny [16]
2 years ago
12

Suppose you are headed toward a plateau 70 m high. If the angle of elevation to the top of the plateau is 60 degrees, how far ar

e you from the base of the plateau?
Mathematics
1 answer:
krek1111 [17]2 years ago
4 0
See the picture attached  to better understand the problem

we know that

in the right triangle ABC
tan 60°=BC/AC----> AC=BC*tan 60°-----> AC=70*tan 60°----> AC=121.24 m

the answer is
121.24 m

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The weight of people in a small town in missouri is known to be normally distributed with a mean of 154 pounds and a standard de
ad-work [718]
If a random sample of 20 persons weighed 3,460, the sample mean x-bar would be 3460/20 = 173 pounds.
The z-score for 173 pounds is given by:
z=\frac{173-154}{29}=0.655
Referring to a standard normal distribution table, and using z = 0.66, we find:
P(\bar x\ \textless \ 173)=0.7454
Therefore
P(\bar x\ \textgreater \ 173)=1-0.7454=0.2546
The answer is: 0.2546

4 0
2 years ago
An angle measure of 55.45 is converted to DMS notation as
jek_recluse [69]

Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Step-by-step explanation:

We need to convert angle measure of 55.45 to DMS notation

DMS notation is Degree Minute and seconds

Solving:

We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.

We can write it as 55 and 0.45

So, we have 55 degrees

To find minutes we will multiply 0.45 by 60

0.45*60 = 27 minutes

Since we have no decimal value in minutes so seconds will be 0

So, DMS will be 55 degrees 27 minutes 0 seconds

Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

5 0
2 years ago
Please select the best answer from the choices provided<br>A<br>B<br>C<br>D​
Shalnov [3]

Answer:

Option A

Step-by-step explanation:

A=\begin{bmatrix}-3 & -9 & -3\\ -4 & -3 & 9\\ 7 & 9 & -10\end{bmatrix}

-7A=\begin{bmatrix}21 & 63 & 21\\ 28 & 21 & -63\\ -49 & -63 & 70\end{bmatrix}

B=\begin{bmatrix}9 & 1 & 6\\ 3 & -10 & 5\\ -1 & 9 & -9\end{bmatrix}

-4B=\begin{bmatrix}-36 & -4 & -24\\ -12 & 40 & -20\\ 4 & -36 & 36\end{bmatrix}

-7A-4B=\begin{bmatrix}-15 & 59 & -3\\ 16 & 61 & -83\\ -45 & -99 & 106\end{bmatrix}

Option A is the answer.

3 0
2 years ago
7 people out of the 99 visitors bought a gift. About ___% of the visitors bought a gift.
ArbitrLikvidat [17]

Answer:

About 7.07% of the visitors bought a gift.

Step-by-step explanation:

7/99 = 0.0707

0.0707 *100 = 7.07%

then:

About 7.07% of the visitors bought a gift.

5 0
2 years ago
Justin runs at a constant rate, traveling 17 \text{ km}17 km17, start text, space, k, m, end text in 222 hours. Write an equatio
Zinaida [17]

Answer: d=8.5h

Step-by-step explanation:

<h3><em><u> The exercise is: "Justin runs at a constant rate, traveling 17 km in 2 hours. Write an equation that shows the relationship between the distance he runs (d) in kilometers and the time he spends running (h) in hours."</u></em></h3>

You know that Justin travels 17 kilometers in 2 hours. With this information you can calculate his speed in kilometers per hour.

The formula to calculate the constant speed is:

V=\frac{d}{t}

Where "d" is the distance and "t" is the time.

Substiuting values, you get:

V=\frac{17\ km}{2\ h}\\\\V=8.5\ \frac{km}{h}

By definition:

d=Vt

 Since the time Justin spends running is represented with "h" in the exercise, this is:

d=Vh

 Substituting the value of "V" into d=Vh, you get that the equation that shows the relationship between the distance he runs (in kilometers) and the time he spends running (in hours), is:

d=8.5h

7 0
2 years ago
Read 2 more answers
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