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4 years ago

The length of a rectangle is 3 times its width. Its perimeter is 88 cm. Find the length and

Mathematics

2 answers:

Montano1993 [528]4 years ago

6 0

Answer:

The rectangle is 11cm by 33cm long

Step-by-step explanation:

The easiest way to solve this is in a diagram, and that is how I'll explain the answer.

If you have a rectangle, where the length is 3 times the width, you can label the sides as x, and as 3x.

Now there are 2 sides labeled as 3x, and 2 sides labeled as x.

Since we are dealing with the perimeter of the rectangle, add all the values together to get 8x. since this value also represents the perimeter, we can set it equal to 88.

We then divide both sides by 8, to get x=11.

Then, plug in the value of x to each side,

So the width was x, and now is 11, and the length was 3x, and now is 33

earnstyle [38]4 years ago

4 0

Answer:jj

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Step-by-step explanation:hhhhh

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Answer:

because:

100 ÷ 2 = 50

then:

50 ÷ 10 = 5

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Y=2x+10 find y if x = -2

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the answer will be y = 6

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4 years ago

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-3x =21 1/3x =6 -1/2x =-7

Kitty [74]

-3x = 21
Divide -3 from both sides and you get x = -7

1/3x = 6
Divide 1/3 from both sides and you get x = 18

-1/2x = -7
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3 years ago

The Weiland Computer Corporation is trying to choose between the following mutually exclusive design projects, P1 and P2:

uranmaximum [27]

Answer:

a profitability index P1=1.27

profitability index P2= 1.41

b NPV P1 = $14145.01

NPV P2 = $6630.3

c YES ANSWERS ARE DIFFERENT due to fact that cash flows in P1 is higher than in P2

Step-by-step explanation:

profitability index or = present value of an investment cash flows=67145.01

benefit cost ratio initial cost 53000

For project 1 or P1

cost of capital 10 % = 1.27

initial investment = $53,000 since year 0

Year Cash flows (P1)$ present value of future cash flows PV

1 27,000 24545.46

2 27,000 22314.05

3 27,000 20285.50

Total = 67145.01

use the formula of present value of future cash flows = C/(1+i)ⁿ

C = cash = 27000

i = interest = 10% = 10/ 100 = 0.1

n = year = 1

year 1 = 27000/(1+0.1)¹ = 24545.46

year 2 = 27000/(1.1)² = 22314.05 note n = 2

year 3 = 27000(1.1)³ = 20285.50

Profitability index = 1.27 > 1 thus it should be accepted

profitability index or = present value of an investment cash flows=22630.30

benefit cost ratio initial cost 16000

For project 1 or P1

cost of capital 10 % = 1.41

initial investment = $16,000 since year 0

Year Cash flows (P2)$ present value of future cash flows PV

1 9,100 8272.73

2 9,100 7520.6

3 9,100 6836.97

Total = 22630.30

use the formula of present value of future cash flows = C/(1+i)ⁿ

C = cash = 9100

i = interest = 10% = 10/ 100 = 0.1

n = year = 1

year 1 = 9100/(1+0.1)¹ = 8272.73

year 2 = 9100/(1.1)² = 7520.6 note n = 2

year 3 = 9100(1.1)³ = 6836.97

Profitability index = 1.41 > 1 thus it should be accepted

Profitability index of P1 = 1.27 AND P2 1.41 SO Weiland Computer Corporation SHOULD TAKE P2

b Net Present Value (NPV) decision rule =∑ pv - initial investment required

P1 = 67145.01 - 53,000 = $14145.01

P2 = 22630.30 - 16000 = $6630.3

Weiland Computer should take P1 since P1 > P2 that is $14145.01 >$6630.3

C YES ANSWERS ARE DIFFERENT due to fact that cash flows in P1 is higher than in P2

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3 years ago

Which angle measure in the triangle shown is the largest? A.) B.) C.) D.) Not Possible

alex41 [277]

You haven't provided neither the diagram nor the options.
Therefore, I cannot provide an exact answer, however, I will try to help you with the concept.

For a triangle, the measure of each angle is proportional to the length of its opposite side.
This means that:
1- The largest angle is the angle opposite to the longest side
2- The smallest angle is the angle opposite to the shortest side

Since you are looking for the largest angle, pick the one facing the longest side

Some tips and tricks:
1- In a right angle triangle, we know that the hypotenuse is the longest side, therefore, the largest angle would be the right angle
2- In an obtuse triangle, the largest angle is simply the obtuse angle itself (the one whose measure is greater than 90)
3- In equilateral triangle, all three angles are equal

Hope this helps :)

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