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leonid [27]
3 years ago
12

48

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

Step-by-step explanation:

xº=yº=90º they are perpendicular to each other.

51º+zº=180 angle in a straight line

zº=180-51

zº=129º

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You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar
Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
Shakila bought a purse for $120. the tax rate is 9%. what is the total amount Shakila paid?
olga nikolaevna [1]
Shakila paid $130.80 in total.
Explanation: 120*1.09=130.80
7 0
3 years ago
Pls help me and thank you if you help me out
Marina CMI [18]

Answer:

I think it would be C.

Step-by-step explanation:

One is positive Four is negative so is 1+(-4)

4 0
3 years ago
Purchase price of article = $5,555 Down payment = $555 Number of payments = 42 True annual interest rate=18% Monthly Payment= $
bixtya [17]
The answer to the monthly payment is $257.1428571 or $258.

How to get the answer:
Simply minus $5555 to $555. You get $5000. 
Then, divide $5000 to the number of payments which is 42. (5000/42)
For that, you get a total of 119.047619. But that is not the final answer yet.
Next, we will multiply 119.047619 to 12, because we are looking for the monthly payment and we were given an "annual" rate. Annual means yearly and every year we have twelve (12) months. In that case, 119.047619 multiplied by 12 is equal to 1428.571428. Still, it is not the final answer.
The last step is, we will multiply the answer 1428.571428 to 18% or .18 and we get a total of 257.142857. Since we used the unit $ then we will a dollar for the answer. Completing the answer to the ]question, we get a total of $257.142857 or $258 for the monthly payment.

6 0
3 years ago
Read 2 more answers
X + 3.6 = -7.3<br> X =<br> help ASAP
dolphi86 [110]

Answer: -10.9

Step-by-step explanation:

-3.6 on both sides to get rid of the 3.6, the x= -10.9

8 0
3 years ago
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