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Hitman42 [59]
3 years ago
6

The length of a rectangular plot of land is 10 yards more than its width. If the area of the land 600 square yards , find the di

mensions
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0
<span>Let the width of the rectangular plot of land be 'x' yards. Given that the length of the rectangular plot of land is 10 yards more than its width. So, width of the rectangular plot of land = (x + 10) yards. Also given that the area of the rectangular plot of land is 600 square yards. We know that, area of a rectangle = length * width That is, (x+10) * x = 600 x^2 + 10x = 600 x^2 + 10x - 600 = 0 x^2 + 30x - 20x -600 = 0 x(x + 30) - 20(x + 30) = 0 (x +30)(x -20) =0 Therefore, either (x + 30) = 0 or (x - 20) = 0 If x + 30 = 0, then x = -30 and If x - 20 = 0, then x = 20 Since 'x' represents the width of a rectangular plot of land it cannot be negative. Therefore, width of the rectangular plot of land = 20 yards length of the rectangular plot of land= x + 10 = 30 yards</span>
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Solve the system of equations below by elimination. Write your answer as an ordered pair. e.g. (2,3)
Lyrx [107]

Answer:

(45,35)

Step-by-step explanation:

1 - Stack the equations on top of each other

3x - 4y = -5

4x + 4y = 40

2 - We can eliminate by subtracting the bottom equation from the top equation

 3x - 4y = -5

- 4x - 4y = 40

3 - The y's cancel out, leaving us with...

 3x = -5

- 4x = 40

4 - Continue simplifying

-1x = -45

5 - We can switch the -1x with -x to make things simple

-x = -45

6 - Positize (make it positive) the statement

x = 45

7 - Halfway there! Substitute the x value into one of the equations

(3 * 45) - 4y = -5

8 - Solve

135 - 4y = -5

Minus 135 on both sides

-4y = -140

Divide by -4 on both sides

y = 35

9 - Here is your answer!!

x = 45

y = 35

(45,35)

4 0
2 years ago
Read 2 more answers
The average basketball has a diameter of 9.5 inches. What is the volume of an average basketball?
Elodia [21]

the formula for volume of sphere is 4/3||r^3

diameter=2radius

in the formula we need to have radius but we have been given diameter so we convert diameter to radius

d=2r

r=d/2

9.5÷2

4.75

6 0
2 years ago
Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a
sweet-ann [11.9K]

12-pack for 1.69 is a better buy

<em><u>Solution:</u></em>

Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18

We have to find which is the better buy

First we have to find the unit rate

Unit rate is cost of 1 pack

<em><u>Mike bought a 12-pack for 1.69</u></em>

Therefore,

Cost of 12 pack = 1.69

Cost of 1 pack is found by dividing 1.69 by 12

cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083

Thus unit rate of Mike is 0.14083 dollar per pack

<em><u>Mary bought a 24-pack for 3.18</u></em>

Cost of 24 pack = 3.18

Cost of 1 pack is found by dividing 3.18 by 24

cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325

Thus unit rate of Mary is 0.1325 dollars

<em><u>On comparing both the unit rate</u></em>

0.14083>0.1325

Thus unit rate of Mike is larger

Thus, 12-pack for 1.69 is a better buy

3 0
2 years ago
A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below thw water
Sauron [17]

Given :

A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below the water surface.

A fish is 20 feet along the horizontal plane from the scuba diver and 10 feet below the scuba diver.

To Find :

The slope between the scuba diver and fish.

Solution :

Horizontal distance between diver and fish is 20 feet.

Fish is 10 feet below the scuba diver.

Slope between scuba diver and fish is :

tan\ \theta = \dfrac{10}{20}\\\\tan\ \theta = 0.5

Therefore, the slope between the scuba diver and fish is 0.5 .

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2 years ago
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denis23 [38]
8 hours
Hope it help
3 0
3 years ago
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