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3 years ago

Perimeter of a rectangle is 52 feet. If the length is 10 less than 2 times the width, what is the width?

Mathematics

1 answer:

ella [17]3 years ago

6 0

Step-by-step explanation:

Let the width be x feet.

Therefore, length = 2x - 10

Perimeter of rectangle = 52

$2(2x - 10 + x) = 52 \\ 2(3x - 10) = 52 \\ \therefore \: 3x - 10 = \frac{52}{2} \\ \therefore \: 3x - 10 = 26\\ \therefore \: 3x = 26 + 10\\ \therefore \: 3x = 36 \\ \therefore \: x = \frac{36}{3} \\ \therefore \: x = 12 \\ \purple{ \boxed{\therefore \: width \: of \: rectangle = 12 \: feet }}$

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A man bought a beautiful horse and needed a paddock to keep it in. He decided on a square shaped area and used 30 poles on each

Aleks04 [339]

Answer:

120poles

Step-by-step explanation:

Given

Length of each poles of the paddock = 30

Since a square has 4 sides, the perimeter of the square shaped paddock is what we are to look for.

Perimeter of a square = 4L

L is the length of each side of the paddock

Perimeter = 4(30)

Perimeter of the square = 120

Hence he used 120poles for the paddock

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3 years ago

2p - 1/q = r/q + 4 , subject q

kondaur [170]

Solve for q:

2 p - 1/q = r/q + 4

Bring 2 p - 1/q together using the common denominator q. Bring r/q + 4 together using the common denominator q:

(2 p q - 1)/q = (4 q + r)/q

Multiply both sides by q:

2 p q - 1 = 4 q + r

Subtract 4 q - 1 from both sides:

q (2 p - 4) = r + 1

Divide both sides by 2 p - 4:

Answer: q = (r + 1)/(2 p - 4)

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3 years ago

I'm having a hard time with my geometry class. Please help me!

Vedmedyk [2.9K]

Answer:

Angle EFG = 82 degrees; Angle GFH = 98 degrees

Step-by-step explanation:

Linear pairs are angles that are placed side by side. When you add them together, you get 180 degrees.

Show work:

3n + 22 + 4n + 18 = 180

7n + 40 = 180

7n = 140

n = 20

Plug in the variable:

Angle EFG:

3(20) + 22

60 + 22

Angle EFG = 82 degrees

Angle GFH

4(20) + 18

80 + 18

Angle GFH = 98

Check:

98+ 82 = 180 degrees

180 degrees was the total so the answer is correct.

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3 years ago

Read 2 more answers

Consider a triangle ABC for which ∠A=100∘,a=34,b=13. If such a triangle can not exist, then write NONE in each answer box. If th

bekas [8.4K]

Answer:

B is 22.12 degrees; ∠C is 57.88°; c=29.24

Step-by-step explanation:

So, first, it's important to draw a diagram of the triangle the problem is talking about (see attached picture).

Once the triangle has been drawn, we can visualize it better and determine what to do. So first, we are going to find what the value of angle B is by using law of sines:

$\frac{sin B}{b}=\frac{sin A}{a}$

which can be solved for angle B:

$sin B=b\frac{sin A}{a}$

$B= sin^{-1}(b\frac{sin A}{a})$

and substitute the values we already know:

$B= sin^{-1}(13\frac{sin 100 ^{o}}{34})$

which yields:

B=22.12°

Once we know what the angle of B is, we can now find the value of angle C by using the fact that the sum of the angles of any triangle is equal to 180°. So:

A+B+C=180°

When solving for C we get:

C=180°-A-B

C=180°-22.12°-|00°=57.88°

So once we know what angle C is, we can go ahead and find the length of side c by using the law of sines again:

$\frac{c}{sin C}=\frac{a}{sin A}$