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Alex Ar [27]
3 years ago
14

Your family is putting in a rectangular pool in the back yard. The pool's perimeter equals 28 feet. The contractor want the leng

th to equal 5 more feet than 3 times the width. What will the width of your garden be?
Mathematics
1 answer:
meriva3 years ago
4 0

Answer:

2.25 ft

Step-by-step explanation:

Perimter= 28ft

W= x ft

L= 3x+5

but

P=2L+2W

substitute

28=2*(3x+5)+2x

28=6x+10+2x

collet like terms

28=8x+10

28-10= 8x

18=8x

divide both sides by 8

x= 18/8

x=2.25 ft

Hence the width is 2.25 ft

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Verizon [17]
The 6th term is -7. the common difference is -3.

5 0
3 years ago
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Samuel needs 233 feet of wood to build a fence the wood comes in lengths of 11 feet which is 22 pieces of wood and Theresa has t
Y_Kistochka [10]

Answer:

Theresa needs 44 pieces of woods.

Step-by-step explanation:

Given:

Length of wood required to fence = 233 feet

Length of the wood = 11 feet

Number of pieces of wood Samuel needs = 22 pieces.

We need to find number of pieces of wood required by Theresa.

Solution:

Now Given:

Theresa has twice as many feet of wood as Samuel.

So we can say that;

Number of pieces of wood Theresa need is equal to 2 multiplied by Number of pieces of wood Samuel has.

framing in equation form we get;

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Hence Theresa needs 44 pieces of woods.

8 0
4 years ago
Someone please help me find y if you don’t mind Thankyouu so much
IRINA_888 [86]

Answer:

Step-by-step explanation:

Decreasing rate = 12% = 0.12

y = 2400 * (1- 0.12)^x = 2400*(0.88)^x

x = 8 years

y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863

3 0
3 years ago
Can someone please help me with this?? I will like your comment!
Sedaia [141]

Answer:

A_{\Delta ABP}=\sin \theta

Step-by-step explanation:

Let the center of the circle be O.

Recall that the area of a triangle can be given by:

\displaystyle A=\frac{1}{2} ab\sin C

Where <em>C</em> is the angle between the two sides.

ΔABP is equal to the sum of ΔAPO and ΔBOP.

Let <em>a</em> = OP and <em>b</em> = OB. Since this is the unit circle and PO and BO are radii, they both equal one. <em>C</em> will be θ. Hence, the area of ΔBOP is:

\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta

For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:

\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)

However, note that sin(π - θ) = sin(θ). Hence:

\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)

Hence, the area of ΔABP is:

\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta

7 0
3 years ago
X + y = 0
lisabon 2012 [21]

Answer:

C

Step-by-step explanation:

given the 2 equations

x + y = 0 → (1)

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Rearrange (1) expressing x in terms of y by subtracting y from both sides

x = - y → (3)

Substitute x = - y into (2)

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Substitute y = 4 into (3) for corresponding value of x

x = - y = - 4

Solution is (- 4, 4 ) → C

4 0
4 years ago
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