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Digiron [165]
3 years ago
8

A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20

%, what is the change in the area of the rectangle? The change in the area of the rectangle is
Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0

Answer:

no change in area

Step-by-step explanation:

The original area is

A = 12*5 = 60 ft^2

The new length and width

l = 12 + .25 (12) = 12+3 =15

w = 5 - .2 (5) =5-1 = 4

The new area is

A = l*w =15*4 = 60 ft^2

The area is the same

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Answer:

1)

82.5 - <u>8</u><u>2</u><u>.</u><u>5</u> + 2x = 338.5 - <u>8</u><u>2</u><u>.</u><u>5</u>

<u>2</u>x = <u>2</u><u>5</u><u>6</u>

2)

2x ÷ <u>2</u> = 256 ÷ <u>2</u>

x = <u>1</u><u>2</u><u>8</u>

Step-by-step explanation:

1)

In order to get rid 82.5, you have to substract the same value on both side to get a 0 value.

2)

In order to find the value of x, you have to divide the value that is sticked with x which is 2. As you divide 2 by 2, you will get 1 as a single value of x so you have to divide 2 to both side too.

5 0
3 years ago
Please help with this question asap
stepladder [879]

Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared

In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well.  (180 - 90 -45 = 45)

This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.

So we can say that length of leg1 = x, and the length of leg2 also equals x

Now let's use pythagoras' theorem:

leg1 = x

leg2 = x

hypotenuse = 16

x^2 + x^2 = 16^2

      2x^2 = 16^2

      2x^2  = 256

        x^2 = 128

        x = √(128)

        x = 8√2

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3 years ago
Solve for x. −23(3x−4)+3x=56
labwork [276]

Answer:

x = 6/11

Step-by-step explanation:

−23(3x−4)+3x=56

Distribute

-69x + 92 +3x = 56

Combine like terms

-66x+92 = 56

Subtract 92 from each side

-66x+92-92 = 56-92

-66x =-36

Divide each side by -66

-66x/-66 = -36/-66

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Molly spends 5 hours a week in art class. How many minutes does she spend in art class every week?
vampirchik [111]

Answer:

she spends 300 minutes in art class a week

Step-by-step explanation:

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Step-by-step explanation:

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