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sergij07 [2.7K]
3 years ago
13

The length of the rectangle is 5 m greater than the width. The perimeter is 150 m. Find the width and length.

Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

Width = 35

Length = 40

Step-by-step explanation:

Width: x

Length: x+5

(x)+(x)+(x+5)+(x+5)=150

4x+10=150

4x=140

x or the width =35

Length: (35)+5=40

Width = 35

Length = 40

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Dhaulagiri is the 7th highest mountain in the world. Ms. Fink is walking through
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Answer:

4833 m

Step-by-step explanation:

Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m

We use Pythagoras Theorem to get this done

We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top

Using the sine angle rule, we have

Sine 47.3 = 4900 / h

h = 4900 / sin 47.3

h = 4900 / 0.7349

h = 6668 m

This means that she was 6668 m away from the top of the mountain

She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000

Using the same sine angle rule, we have

Sine 58.5 = o / 5668

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3 years ago
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Mice21 [21]
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8 0
3 years ago
A football field measures 120 yards long and 54 yards wide. We know that the team can fit 26 players in 5 yards by 8 yards box.
wariber [46]

Answer:

4,212 people

Step-by-step explanation:

We are given;

  • Dimensions of the football field are 120 yards by 54 yards
  • 26 players can fit in a box measuring 5 yards by 8 yards

We are required to determine the number of people that can fit in the football field.

  • We are going to get the area of the field first;

Area = length × Width

Area of the field = 120 yards × 54 yards

                          =  6480 square yards

  • Then we get the area of the box

Area of the box = 5 yards × 8 yards

                           = 40 square yards

  • We then determine the number of boxes that can fit in the football field

Number of boxes = Area of the foot ball field ÷ Area of one box

                             = 6480 sq yards ÷ 40 sq yards

                             = 162 boxes

But, 26 people can fit in one box

Therefore,

Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box

That is, Number of people = 26 players × 162 boxes

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Therefore, the number of people that can fit in the football field is 4,212 people.

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Net profit = Gross profit - expenses = 42,000 - 36,000 = 6,000

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Area of a right triangle with base 8cm and height 2cm is
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Answer:

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