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motikmotik
2 years ago
10

A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swim

ming?
Mathematics
1 answer:
Vitek1552 [10]2 years ago
4 0

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

<u>Given the following data:</u>

  • Width of rectangle = 6 meters
  • Length of rectangle = 8 meters

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Substituting the given parameters into the formula, we have;

Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}

Hypotenuse = 10 meters.

Read more here: brainly.com/question/18890335

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Jane wants to save money to buy a motorcycle. She invests in an ordinary annuity that earns 4.2% interest, compounded quarterly.
Sauron [17]

Answer:

she need to pay is $550.40

Step-by-step explanation:

given data

interest = 4.2 % compounded quarterly = 0.042 / 4 = 0.0105

future value = $7000

time = 3 year = 3 × 4 = 12 months

to find out

How much money she need to pay

solution

we will apply here formula for future value for compound quarterly

that is

future value = principal × \frac{(1+r)^{t} -1 }{r}    .............1

put here all these value

future value = principal × \frac{(1+r)^{t} -1 }{r}

7000 = principal × \frac{(1+0.0105)^{12} -1 }{0.0105}

principal = 550.40

so she need to pay is $550.40

3 0
2 years ago
A customer states that she was shorted in change by receiving only 23 cents change from $3.00
Artemon [7]

Answer:

First, I would check and see if she was correct. If she wasnt, I would simply show her why she was incorrect. If I was to accidently short her, I would give her the money and move on with my day. if she refused to leave after showing her that I gave her the correct amount of money, she would probably call for the manager. I'd get the manager, explain what happened, and the annoying customer would most likely get kicked out of the store.

(P.S: sorry if it was a little confusing lol)

8 0
2 years ago
Suppose the correlation between height and weight for adults is 0.80. What proportion (or percent) of the variability in weight
gulaghasi [49]

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

  • In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
  • Coefficient of determination, r^2, is a measure of variability in one variable can be explained variation in the other.

Here, r= 0.80

\Rightarrow\ r^2= (0.80)^2=0.64

That means 64% of the variability in weight can be explained by the relationship with height.

8 0
3 years ago
It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 12 lbs of walnuts? Enter the numeric value o
mote1985 [20]

Answer:

$55.20

Step-by-step explanation:

Create a proportion where x is the cost of 12 lbs of walnuts:

\frac{3.45}{0.75} = \frac{x}{12}

Cross multiply and solve for x:

0.75x = 41.4

x = 55.2

So, for 12 lbs of walnuts, it will cost $55.20

8 0
3 years ago
I’ll mark as BRANLIEST!!<br><br> 30 POINTS!!
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\purple{ \tt{ \huge{  \: ✨Answer ✨ \: }}}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}

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3 years ago
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