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4 years ago

A lawn is 33.21 m long and 17.6 m wide.

1 answer:

4 0

We are task to find the length of the fence required to enclose the entire lawn and the area to be covered so that lawn can be fertilized. To solve this, we are given only the sides of lawn which are 33.21 m and and 17.6 m. We assume that it is a rectangle since the sides are of different sizes.
For the first problem, we can solve the length of the fence by using the perimeter formula. Perimeter of a rectangle is equal to the sum of each side. For the rectangle, we have two sides of length 33.21 which is equal to 66.42 and two sides for the width having 17.6 m which is equal to 35.2. The sum of the 4 sides of the lawn equals to 101.62 m (35.2+66.42). Hence, 101.62 m is the length of fence required to be purchased to enclose the entire lawn.
For the second problem, we can use the area of rectangle to solve this. That is, Area of the rectangle is equal to the product of its sides.
Simply, Area=(17.6*33.21)=584.496 square meter. Hence, 584.496 square meter is required to be covered if it is to be fertilized.

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Please help

juin [17]

Answer:

$\displaystyle \large{y = \frac{1}{4} x + 1}$

Step-by-step explanation:

Whenever you solve a word problem, our first step is to read and gather the information we find.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

First, let's understand that slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept

After reading the context, what do we know?

a slope of 1/4
a line passes through (-8,-1)
write in slope-intercept form

We finally have the information — our first step is to write our slope-intercept equation.

$\displaystyle \large{y = mx + b}$

We know that m is slope which is 1/4 — substitute in the equation.

$\displaystyle \large{y = \frac{1}{4} x + b}$

We have used the two information which are a slope of 1/4 and slope-intercept equation.

That only leaves to one information which is a line that passes through (-8,-1).

Since the graph has to pass through the point, we substitute x = -8 and y = -1.

$\displaystyle \large{ - 1= \frac{1}{4} ( - 8)+ b}$

After using all information, it seems that we are solving for b-term or y-intercept.

$\displaystyle \large{ - 1= \frac{1}{1} ( - 2)+ b}$

From above — cross-division.

$\displaystyle \large{ - 1= 1( - 2)+ b} \\ \displaystyle \large{ - 1= - 2+ b}$

Add both sides by 2 to isolate b-term.

$\displaystyle \large{ - 1 + 2= - 2 + 2+ b} \\ \displaystyle \large{ 1= b}$

Therefore, the value of b is 1. From the equation:

$\displaystyle \large{y = \frac{1}{4} x + b}$

Substitute b = 1 in the equation.

$\displaystyle \large{y = \frac{1}{4} x + 1}$

And we're done!

8 0

3 years ago

How to solve this equation by step 12f=216

likoan [24]

Answer:

Step-by-step explanation:

You have to divide both sides by 12 inorder to remain with the f on the other side since you want to find the value of f.

12f/12=216/12

F=18

I hope this helps

5 0

3 years ago

Consider the line y=8x-2 find the equation of the line that is parallel to this line and passes through the point (-5,2)

DanielleElmas [232]

Answer:

the answer is y=8x+42

Step-by-step explanation:

y-y=m(x-x¹)

y-2=8(x-(-5))

y-2=8x+40

+2 +2

y=8x+42

8 0

3 years ago

MONEY Amanda has $31 in her purse. She pays $6 for lunch. Which expression represents this situation?

anastassius [24]

( B) 31 + ( -6) is the answer

8 0

3 years ago

Chloe just turned 8 years old and her sister Sheila just turned 14 years old. In how many years will the sum of their ages be eq

Otrada [13]

14 years. In 14 years Chloe will be 22 and Sheila will be 28. 22+28 is 50.

6 0

3 years ago