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1 year ago

You are building a brick patio. the length of the patio is (x+11) feet.

Mathematics

1 answer:

Romashka-Z-Leto [24]1 year ago

7 0

The expression that represents the width of the patio is (x+3) feet

<h3>Calculating area</h3>

From the question, we are to determine the width of the patio

The area of the patio = Length of the patio × Width of the patio

From the given information,

Length of the patio = (x+11) feet

Area of the patio = x^2+14x+33 = x²+14x+33

Putting the parameters into the formula,

x²+14x+33 = (x+11) × Width of the patio

∴ Width of the patio = (x²+14x+33) / (x+11)

First, we will factor x²+14x+33

x²+14x+33

x²+11x+3x+33

x(x+11) +3(x+11)

(x+3)(x+11)

Thus,

Width of the patio = [(x+3)(x+11)] / (x+11)

∴ Width of the patio = (x+3) feet

Hence, the expression that represents the width of the patio is (x+3) feet

Learn more on Calculating area here: brainly.com/question/1729755

#SPJ1

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2 years ago

Given the diameter of a circle is 17 1/2cm, find its area. (use π=22/7)

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Step-by-step explanation:

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<h2>hope it helps.</h2><h2>stay safe healthy and happy...</h2>

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1 year ago

In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth

solong [7]

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

$x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}$

$x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}$

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$Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)$

$Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)$

$Y \approx 12.321^{\circ}$

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°. $\blacksquare$

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512

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1 year ago

What is the converse of the conditional statement?

Svetach [21]

Answer:

If x + 1 is odd, then x is even.

Step-by-step explanation:

The converse of the statement ...

if P, then Q.

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if Q, then P.

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2 years ago