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bekas [8.4K]
2 years ago
8

A HORSE is tied to a peg at one corner of a square shaped grass field of 25 cm by means of a 14cm long rope. find the area of th

e part of the field in which the horse can graze
Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
4 0
The area is a sector of circle that is 1/4 of 14-cm radius circle.

A = 1/4 * pi * r^2

A = 1/4 * 3.14 * (14 cm)^2 = 154 cm^2
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What is the value of l n e Superscript 4<br> 0<br> 1<br> 2<br> 4
posledela

Answer:

4

Step-by-step explanation:

ln e ^4

Natural log and e are opposites so they cancel and leave

4

6 0
2 years ago
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A student has an allowance of $20 a week. He wants to buy lunch at school for $3.50 everyday. Does this student have enough mone
Alex787 [66]

Answer:

no

Step-by-step explanation:

in a 7 day week, he would need $24.50

8 0
2 years ago
Find the area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).
ki77a [65]

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.

The distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the above formula we get,

WX=7

XY=5

YZ=7

WZ=5

The length of opposing sides are equal.

Using the Pythagoras theorem, the length of diagonal WY and XZ are

WY=\sqrt{(WX)^2+(XY)^2}=\sqrt{7^2+5^2}=\sqrt{74}

XZ=\sqrt{(XY)^2+(YZ)^2}=\sqrt{5^2+7^2}=\sqrt{74}

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

A=l\times w

Where l is length and w is width.

The area of given polynomial is

A=5\times 7

A=35

Therefore the area of the polynomial is 35 square unit.

6 0
2 years ago
What are the possible steps involved in solving the equation shown? Select three options.
e-lub [12.9K]

Answer:

Option B, C and D are correct choices.

Step-by-step explanation:

We have been given an equation 3.5+1.2(6.3-7x)=9.38. We are asked to choose the steps that are involved in solving the equation.

Let us solve the equation.

Using distributive property a(b+c)=ab+ac, we will distribute 1.2 to 6.3 and -7x.

3.5+1.2*6.3-1.2*7x=9.38

3.5+7.56-8.4x=9.38

Therefore, option B is the correct choice.

Now, we will combine like terms.

11.06-8.4x=9.38

Therefore, option C is the correct choice.

Now, we will subtract 11.06 from both sides of our equation.

11.06-11.06-8.4x=9.38-11.06

-8.4x=-1.68

Therefore, option D is the correct choice.

Now, to solve for x, we need to divide both sides of our equation by -8.4

\frac{-8.4x}{-8.4}=\frac{-1.68}{-8.4}

x=0.2

3 0
2 years ago
Read 2 more answers
A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an
Anestetic [448]

Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.

The goal of the environmental initiative is to save at least 25 million hectares of rain forest.

That is:

<em>X</em> + <em>Y</em> = 25....(i)

Now it is provided that:

  • The cost of planting trees is $ 400 per hectare.
  • The cost of purchasing land is $ 260 per hectare.
  • The initiative has a budget of $8,250 million.

Using the above data it can be said that:

400<em>X</em> + 260<em>Y</em> = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5

Then the value of <em>y</em> is:

x+y=25\\y=25-x\\y=25-12.5\\y=12.5

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

4 0
2 years ago
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