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Nataliya [291]
3 years ago
8

Please help me with vivid explanation​

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

864 m²

Step-by-step explanation:

  • First calculate the total area of the rectangular field

The area of a rectangle is given by the product of the length and the width

let A be the total area

A = 100*120

A = 12000 m²

Calculate the area of the small rectangles

  • Let A' be the total area of the four small rectangles and A" the area of one small rectangle
  • A' = 4 A"
  • A' = 4 [(\frac{120-4}{2})*(\frac{100-4}{2})]
  • A' = 4*58*48
  • A' = 11136 m²

  • Substract the A' from A to get the area of the road

Let A"' be the area of the road

A"' =A-A'

A"' = 12000-11136

A"' = 864 m²

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Simplify 5x−4y+2(y+x)
RSB [31]

Answer:

7x -2y

Step-by-step explanation:

5x−4y+2(y+x)

Distribute

5x -4y +2y +2x

Combine like terms

5x +2x    -4y +2y

7x -2y

7 0
4 years ago
The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the
elixir [45]

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

<u>Given formula</u>

P = 2 (w + l)

<u>Substitute the value into the formula</u>

36 = 2 (w + 3w - 2)

<u>Simplify values in the parentheses</u>

36 = 2 (4w -2)

<u>Divide 2 on both sides</u>

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

<u>Add 2 on both sides</u>

18 + 2 = 4w - 2 + 2

20 = 4w

<u>Divide 4 on both sides</u>

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang
Vladimir [108]

Answer:

cos^2\theta + sin^2\theta = 1

Step-by-step explanation:

Given

(\frac{b}{r})^2  + (\frac{a}{r})^2

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = (\frac{r}{r})^2

Going by the Pythagoras theorem, we can assume the following.

  • a = Opposite
  • b = Adjacent
  • r = Hypothenuse

So, we have:

Sin\theta = \frac{a}{r}

Cos\theta = \frac{b}{r}

Having said that:

The expression can be further simplified as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1

Substitute values for sin and cos

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1 becomes

cos^2\theta + sin^2\theta = 1

3 0
4 years ago
PLS HELP ME I WILL GIVE BRAINLIEST
Ronch [10]

Answer:

78°

Step-by-step explanation:

The angular distance of an arc is twice the angle that forms it if that angle lies of the edge of the circle.

By this, Arc AK has angular distance 158°.

Arc JL = 202°.

Arc KL = 122°.

By subtracting these we get 80° for Arc JK.

Arc KA = 158°.

Arc AJ = KA - JK

AJ = 158-80

AJ = 78°

5 0
4 years ago
There are 500 coffins and 500 men who need them. The undertaker asks the first man to go to every coffin and open them. Then he
guapka [62]

Answer:

166

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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