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2 years ago

A rectangular yard is 25 ft by 19 ft. The yard is covered with grass except for a

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

6 0

Answer:

$384.75\ ft^2$

Step-by-step explanation:

we know that

To find out how much grass is in the yard subtract the area of the flower garden from the total area of the rectangular yard

Find out the area of the rectangular yard

$A=(25)(19)=475\ ft^2$

Find out the area of the square flower garden

$A=(9.5)^2=90.25\ ft^2$

$475\ ft^2-90.25\ ft^2=384.75\ ft^2$

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Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change

Afina-wow [57]

First, lets create a equation for our situation. Let $x$ be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
 $f(x)=25x+100$

We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: $\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1} }$ . So lets replace the values in our formula to find the average of our function:
$\frac{25(10)+100-[25(2)+100]}{10-2}$
$\frac{350-150}{8}$
$\frac{200}{8}$
$25$

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

6 0

2 years ago

Least to greatest for 4.375×10 , 1.5 inches, 1 7/8 inches,0.25 inches, 1.428×10 inches

Andre45 [30]

4.375×10 = 43.75
1 7/8 = 15/8 = 1.875
1.428×10 = 14.28

so order from Least to greatest:
0.25 inches, 1.5 inches, 1 7/8 inches, 1.428×10 inches and 4.375×10 inches

7 0

2 years ago

Solve the following radical equation. 21*+2 - 18-3 = 18+9 x =

stiks02 [169]

Answer:

x = -9, -2, and 3.

just set everything possible to 0.

since 0 = 0 it must be true.

4 0

2 years ago

Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

GalinKa [24]

Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

Nonagon

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

Hexagon

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

7 0

2 years ago

What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoi

coldgirl [10]

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

$m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}$

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

$m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}$

5 0

2 years ago