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Julli [10]
3 years ago
12

Lorenzo built a rectangular brick patio. He is putting a stone border around the patio. The patio is 12 feet long and 14 feet wi

de. What is the perimeter of the patio?
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0
To find the perimeter of Lorenzo's patio, you need to understand that perimeter is a measurement of distance around a sided figure.

We know the side lengths are 12 feet, 14 feet, 12 feet, and 14 feet because it is a rectangle.

Add all these together to find the total distance around.

12 + 12 + 14 + 14 or (12 x 2) + (14 x 2) = 52 feet

The perimeter of Lorenzo's patio is 52 feet.
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Given: ABCD is a rhombus, <br> Perimeter = 20,<br> AC:BD = 4:3 Find:<br> Area of ABCD.
REY [17]
4a=20⇒a=5

we know diagonals are perpendicular. if u look at one of the right triangles, you can see that for hypotenuse to be 5, the legs have to be 4 and 3 to satisfy the given ratio 4:3.

so, diagonals are 8 and 6 as we know that diagonals bisect each other.

Area=8*6/2=24
6 0
3 years 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}}

x \approx 33

<h3>Law of sine</h3>

\frac{\sin Y}{y} = \frac{\sin X}{x}

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

7 0
2 years ago
A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the
laila [671]

We have been given that a 208-yard-long road is divided into 16 parts of equal length.

Let us find length of each part.

\text{Length of each part}=\frac{208}{16}

\text{Length of each part}=13

Length of each part will be 13 yards.                

We are told that Mr. Ward paints a 4-yard-long strip in each part.

Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.

\text{Length of unpainted strip}=13-4

\text{Length of unpainted strip}=9    

Therefore, length of each unpainted strip will be 9 yards.

5 0
3 years ago
Please help asap,the first person will get the brianlist plz,answer all of the 5 questions
almond37 [142]

Step-by-step explanation:

1:d

2:c

3:a

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i think so

7 0
3 years ago
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What’s the question
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