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3 years ago

For all nonzero real numbers p, t, x, and y such that x/y = 3p/2t, which of the following expressions is equivalent to t ?

Mathematics

1 answer:

rosijanka [135]3 years ago

5 0

$\frac{x}{y}=\frac{3p}{2t}\\\\cross\ multiply:\\\\2xt=3py\ \ \ \ /:2x\neq0\\\\t=\frac{3py}{2x}\\\\Answer:K$

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The perimeter of XYZ is ___ units.

In-s [12.5K]

Look at the picture.

$ZY = 5+3=8$

For XY and ZX use the Pythagorean theorem.

$XY^2=3^2+4^2\\\\XY^2=9+16\\\\XY^2=25\to XY=\sqrt{25}\\\\XY=5$

$ZX^2=5^2+4^2\\\\ZX^2=25+16\\\\ZX^2=41\to ZX=\sqrt{41}$

The perimetero fo XYZ:

$P_{\triangle XYZ}=8+5+\sqrt{41}=\boxed{13+\sqrt{41}}$

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3 years ago

The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length

valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall = 10+2x

Since , Area of rectangle = length x width

Then, as per given,

$252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9$

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

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3 years ago

The sum of 4 times a number and 9 is equal to 8. Use the variable b for the unknown number.

Alexxandr [17]

Answers
4b+9=8
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2 years ago

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3 years ago

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Parallelograms geometry acellus pls help

Mamont248 [21]

Answer:

x = 60

Step-by-step explanation:

Recall: one of the properties of a parallelogram is that consecutive angles are supplementary. This means they add up to given 180°

2x and x are consecutive angles. Therefore:

2x + x = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

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3 years ago