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julsineya [31]
3 years ago
14

A suitcase measures 24 inches long and the dialogue is 30 inches long. How much material is needed to cover one side of the suit

case??
Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

Answer:

432 in.^2

Step-by-step explanation:

The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.

We use the Pythagorean theorem,

a^2 + b^2 = c^2

(24 in.)^2 + b^2 = (30 in.)^2

576 in.^2 + b^2 = 900 in.^2

b^2 = 324 in.^2

b = sqrt(324 in^2)

b = 18 in

area of rectangle = length * width

A = 24 in. * 18 in.

A = 432 in.^2

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Jackson used the process of completing the square to solve the equation 2x2−12x=−6.
Nikolay [14]

Answer:

x=3-\sqrt{6},x=3+\sqrt{6}

Step-by-step explanation:

we are given equation as

2x^2-12x=-6

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

2(x^2-6x)=-3\times 2

step-2:

Simplify it

x^2-6x=-3

step-3:

Add both sides 3^2

x^2-6x+3^2=-3+3^2

now, we can complete square

(x-3)^2=6

step-4:

Take sqrt both sides

(x-3)=-\sqrt{6},(x-3)=\sqrt{6}

step-5:

Add both sides by 3

we get

x=3-\sqrt{6},x=3+\sqrt{6}


3 0
3 years ago
Really struggling on this
navik [9.2K]
Angle 4 would be 77degrees because angle two is vertical to angle four.

Angle 3 and Angle 1 are equal because they are vertical to each other.

You would subtract 180 (degrees) minus 77 (degrees) and get 103 (degrees).

So Angle 3 and Angle 1 would both be 103 degrees.

You would get 180 degrees from the line.

5 0
1 year ago
What are the distributive property 14k+35
malfutka [58]
I’m not too sure of what you are asking. But if you want an equivalent expression, it would be

7(2k+5)

Since 7 is the greatest common factor of both 14 and 35. 14/7=2. 35/7=5
6 0
3 years ago
1PLSS NEED HELP.........
tatiyna

Answer: I believe it can be a right triangle

Step-by-step explanation:

7 0
2 years ago
HELP PLEASE I DONT UNDERSTAND THIS AT ALL PLEASE HELP
Arisa [49]

Answer: 27

Step-by-step explanation:

6 0
3 years ago
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