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Viefleur [7K]
3 years ago
9

Paula wants to buy new carpet for her bedroom. The floor is in the shape of a rectangle. Its length is 16 feet and its width is

11 feet. The carpet she wants costs $8 per square foot. How much will the carpet cost for the floor?
Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer: 1408

Step-by-step explanation:

You are finding the area of the rectangle (length times width). You are going to multiply 16 and 11, which equals 176. You take the area of the carpet and multiply it by how much it costs($8.00). The answer would be $1408.00

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Find an equation of the circle that satisfies the given conditions.
hodyreva [135]
The equation of a circle:
(x-h)^2+(y-k)^2=r^2
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5

The radius is 5.

(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}
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3 years ago
State the domain of the sets of points. [-4,9] [8,9] [5,-7] [-6,1] [2,7]
Ainat [17]

Answer:

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Step-by-step explanation:

take the first number in each pair and put them in numerical order (least to greatest)

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Using the rules of cosines, the <span>measure of the turn between the second and third legs of the race</span> is given by

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4 0
3 years ago
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Ten years ago, you purchased a $70,000, 5-year term life insurance policy. At that time you were 30 years old.
Darina [25.2K]

Answer:

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Step-by-step explanation:

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George ate 4 slices of pizza if this was 25% of the slices at the dinner table how many slices were there at the table to start
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