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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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(2x-3)(3x+4) expand and simplify
elixir [45]

Answer:

6x² - x - 12

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor.

(2x - 3)(3x + 4)

= 2x(3x + 4) - 3 (3x + 4) ← distribute both parenthesis

= 6x² + 8x - 9x - 12 ← collect like terms

= 6x² - x - 12 ← in expanded form


5 0
3 years ago
Im just typing this so i can reach the 20 character the limit :)​
masha68 [24]

Answer:

x = 5

Step-by-step explanation:

Add the degrees of m<VUJ and m<JUT and make them equal to 175 since both angles exist with m<VUT.

17x - 3 + 17x + 8 = 175

34x - 3 + 8 = 175

34x + 5 = 175

34x = 170

x = 5

7 0
2 years ago
A student has a savings account earning 3% simple interest. She must pay $1200 for first-semester tuition by September 1 and $12
Bingel [31]

Using simple interest, it is found that she needs to earn $2,391.07 during the summer.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

For this problem, the objective is to have <u>$1200 in 3 months = 0.25 years</u>, hence the parameters are given as follows:

A(0.25) = 1200, t = 0.25, r = 0.03.

Hence we have to solve for A(0):

A(0)(1 + 0.03 x 0.25) = 1200

A(0) = 1200/(1 + 0.03 x 0.25)

A(0) = $1,191.07.

She also needs to earn $1,200 to pay the first-semester bill on time, hence:

1200 + 1191.07 = $2,391.07.

She needs to earn $2,391.07 during the summer.

More can be learned about simple interest at brainly.com/question/16646150

#SPJ1

3 0
1 year ago
Help meh by monday! Pls...before 8:40
mafiozo [28]

Answer:

567

Step-by-step explanation:

rghjbvcdfghjk

4 0
3 years ago
Read 2 more answers
If one pound of shrimp cost $6 what does 7/8 pound cost
Marizza181 [45]
6 / 8 = 3/4
3/4 x 7 = 5 1/4
5 1/4 = $5.25

So, 7/8 of a pound of shrimp costs $5.25.
7 0
2 years ago
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