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3 years ago

The office surface area is 256 square feet. Express the surface area in square meters

Mathematics

1 answer:

gregori [183]3 years ago

5 0

10.764 square ft = 1 square meters

256 square ft/10.764

23.782 square meters

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Simplify. 5y(4x-3z)

Dahasolnce [82]

Answer:

Option D is the right option.

Solution,

 $5y(4x - 3z) \\ = 5y \times 4x - 5y \times 3z \\ = 20xy - 15yz$ 

hope this helps...

Good luck on your assignment...

5 0

3 years ago

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Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

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4 years ago

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Adrian increased the amount of water he drinks he drinks everyday from 32 oz to 56 oz.By what percentage the amount of water he

Svetradugi [14.3K]

You can ask Siri. Answer is Increased 75%. “What percent is 56 out of 32.”

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3 years ago

Select the quadrant in which the terminal side of the angle falls.

Sedbober [7]

Answer:

The answer is below

Step-by-step explanation:

Select the quadrant in which the terminal side of the angle falls.

210° terminates in quadrant

-150° terminates in quadrant

390° terminates in quadrant

Solution:

The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.

Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.

a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

c) 390° = 390° - 360° = 30°.

Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.

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3 years ago

Compute the total cost of the meal to the nearest cent:

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Answer:

D. $32.67

Step-by-step explanation:

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4 years ago