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3 years ago

Help asap! will mark brainliest lots of points! 9 minuets

Mathematics

2 answers:

laiz [17]3 years ago

8 0

Answer:

The area of the grass = 2187 square ft

Step-by-step explanation:

∵ The dimension of the yard are 80 ft. and 45 ft.

∴ The area of the rectangle = 80 × 45 = 3600 square ft.

∵ The diameter of the pool is 60 ft.

∴ The area of the semi circle = $\frac{1}{2}\pi(30)^{2}=1413$ square ft.

∴ The area of the grass = 3600 - 1413 = 2187 square ft

Oxana [17]3 years ago

6 0

Answer:

Rectangle = 3600 ft^2

Semicircle = 1413.72 ft^2

Grass = 2186.28 ft

Step-by-step explanation:

The area of the rectangle is

A = l*w where l = 45 and w = 80

A = 45*80

3600 ft^2

We then need to find the area of a circle

A = pi r^2

The radius is 1/2 d

r = 1/2 (60)

r = 30

The area of a circle is pi r^2, but we only have 1/2 of the cirlce so we take 1/2 of the area

1/2A = 1/2 pi (30)^2

= 1/2 pi *900

450 pi

=1413.72 ft^2

The difference is the area we have to cover

rectangle - semicircle

3600 ft^2 - 1413.72

2186.28 ft

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3 years ago

Two positive numbers have a difference of 4 and a product of 96. What are the numbers?

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3 years ago

Anyone can help please and quickkkk

melomori [17]

The values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation in three variable:

2x + 3y - z = 5 ...(1)

4x - y - z = -1 ...(2)

x + 4y + z = 12 ...(3)

$\rm \mathrm{Substitute\:}x=\dfrac{5-3y+z}{2}$ (from the equation 1 and 2)

After solving:

$\rm \begin{bmatrix}-7y+z+10=-1\\ \dfrac{5y+3z+5}{2}=12\end{bmatrix}$

From the above, two equations:
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Plug the above values in equation 1

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Thus, the values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.

Learn more about the linear equation here:

brainly.com/question/11897796

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2 years ago

Find the slope of the line through each pair of points (19,-2) (-11,10)

Sedaia [141]

Answer:

$\huge\boxed{-\frac{2}{5}}$

Step-by-step explanation:

The slope of a line can be determined from two points via the slope formula. This is usually defined as the change in y divided by the change in x. It’s commonly represented using this formula:

$\displaystyle \frac{\Delta y}{\Delta x}$

Where $\Delta$ represents “change in.”

The slope is basically just saying the rate of increase/decrease a function has when x increases by 1 - how much does y change when x increases by 1? We can find this by taking larger values and dividing by the rate at which we took the larger values. This derives the slope formula.

We can find the change in y and x in this function by analyzing the two points given. If we look at the change between each point, we can get the change since this is a line and thus has a constant slope.