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Natasha2012 [34]
3 years ago
11

A man is parasailing on a lake. The rope he is holding is 150 feet long and he is 45 feet above the water. What is the horizonta

l distance between the man and the boat? Round your answer to the nearest tenth.​
Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

9514 1404 393

Answer:

  143.1 ft

Step-by-step explanation:

Assuming the rope is tied to the boat, and that the geometry can be modeled by a right triangle, the Pythagorean theorem is helpful.

  150² = 45² + d²

  d = √(150² -45²) = √20475 ≈ 143.1 . . . . feet

The horizontal distance between the man and the boat is about 143.1 feet.

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Tom and Jerry leave from the same place in opposite directions. Tom drives 38mph. Jerry drives 50mph. In how many hours are they
devlian [24]

Answer:

Both Tom and Jerry will apart 176 miles in 2 hours .

Step-by-step explanation:

Given as:

Tom and Jerry moves in opposite direction

The speed of Tom = 38 mph

The speed of Jerry = 50 mph

Let The distance cover by Tom = x mile

The  distance cover by Tom = ( 176 - x ) miles

Time taken by both are same = T hour

\textrm(Time) = \dfrac{\textrm(Distance)}{\textrm(Speed)}

Or, Time taken by Tom

T =  \frac{x}{38}     ... 1

∴ x = 38 T  

And Time taken by Jerry

 \textrm(T) = \dfrac{\textrm(Distance)}{\textrm(Speed)}

Or, T =  \frac{176 - x}{50}  

So , put the value of T from 1

\frac{x}{38}  =  \frac{176 - x}{50}  

Or, 50 × x = ( 176 - x ) × 38

So 50 x + 38 x = 6688

Or, 88 x = 6688

∴   x = \frac{6688}{88} = 76 mile

So, From, eq 1

T =  \frac{x}{38}

or, T =  \frac{76}{38}  = 2 hours

Hence both Tom and Jerry will apart 176 miles in 2 hours . Answer

7 0
3 years ago
What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20
Bond [772]
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.
7 0
4 years ago
While drawing a triangle, Michael decided that he wanted to have the longest side to measure 32 cm. Which pair of side lengths c
JulijaS [17]

Answer:

c

Step-by-step explanation:

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3 years ago
An investment is currently worth 1.035×108 dollars . Thirty years ago, the investment was worth ​ 2.3×105 ​ dollars. How many ti
nevsk [136]

The correct option is:  B. 450

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

Current value of the investment is  1.035\times 10^8 dollars and 30 years ago, the value of the investment was  2.3\times 10^5 dollars.

Suppose, the value of investment today is  n times greater than the value of the investment thirty years ago.

So, the equation will be........

n(2.3\times 10^5)=1.035\times 10^8\\ \\ n= \frac{1.035\times 10^8}{2.3\times 10^5}=0.45\times 10^3 = 450

Thus, the value of the investment today is 450 times greater than the value of the investment thirty years ago.

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