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3 years ago

6

Dennis made a scale drawing of his backyard using the scale 1/4 inch =3 feet the rectangular swimming pool was 2 inches long and

1 inch wide the drawing what was.the area of actual swimming pool

1 answer:

seraphim [82]3 years ago

3 0

(1/4)x = 2

x = 8 x 3 = 24 feet long

(1/4)x = 1

x = 4 x 3 = 12 feet wide

24ft x 12ft = 288ft^2

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Can someone help me find out what is 48y-24

Maksim231197 [3]

Answer: 24(2y−1)

Step-by-step explanation:

Factor 48y−24

48y−24

=24(2y−1)

Answer:

24(2y−1)

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3 years ago

Read 2 more answers

Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula

jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

$\frac{5}{5 + 2 + x} = \frac{5}{7 + x}$

Both fractions are equal, so:

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Applying cross multiplication:

$7 + x = 10$

$x = 10 - 7$

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The value of x is 3.

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3 years ago

Martha changed 350 US dollars into 385 Australian dollars. How many Australian dollars did she receive for each US dollar?

Leni [432]

Answer:

For each US dollar she gets 1.1 AUS dollars

Step-by-step explanation:

350US for 385AUS

350:385 divide by 350

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3 years ago

Micah was asked to add the following expressions: 3x2−x−9x2+3x+2+−2x2+2x+5x2+3x+2 First, he combined like terms in the numerator

shtirl [24]

Micah was asked to add the following expressions:

$\frac{3x^2-x-9}{x^2+3x+2} + \frac{-2x^2+2x+5}{x^2+3x+2}$

First, he combined like terms in the numerator and kept the common denominator

First step is correct. He added the like terms in the numerator, because the denominators are same.

$3x^2 -x -9 -2x^2+2x+5becomes x^2 +x -4$

So he got , $\frac{x^2+x-4}{x^2+3x+2}$

In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2 are added with x^2

If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.

So Micah added the expression incorrectly. Final answer is not correct.

5 0

3 years ago

Find the exact value

Mnenie [13.5K]

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

To learn more on trigonometric functions: brainly.com/question/15706158

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2 years ago