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2 years ago

The equation of circle C is (x-8)^2+(y+3)^2=49. Find the center and radius of circle C.

Mathematics

2 answers:

Norma-Jean [14]2 years ago

8 0

Answer:

Step-by-step explanation:

Dominik [7]2 years ago

3 0

C is the best option and compare it with the equation of circle to get values

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DeSean is sorting his toy car collection. ⅔ of the cars are sports cars. ¼ of the remaining toys are pick up trucks. All of the

user100 [1]

Answer:

Fraction of fire trucks = $\frac{1}{4}$

Total number of toy cars = $16$

Step-by-step explanation:

Fraction of sports car = $\frac{2}{3}$

Fraction of remaining cars $=1-\frac{2}{3}=\frac{3-2}{3} =\frac{1}{3}$

So,

Fraction of pick up cars = $\frac{1}{4}(\frac{1}{3})=\frac{1}{12}$

Therefore,

Fraction of fire trucks = $\frac{1}{3}-\frac{1}{12}=\frac{4-1}{12}=\frac{3}{12}=\frac{1}{4}$

That is Number of fire trucks = $\frac{1}{4}$ ( Total number of toy cars )

Number of fire trucks = 4

Total number of toy cars = $4(4)=16$

3 0

2 years ago

Atown uses positive numbers to track increases in population and negative numbers to track decreases in population.

amid [387]

Answer:

Step-by-step explanation:

-60

Step-by-step explanation:

Increase in population is given by positive sign

Change in population in 5 years = -300

Decrease in population is represented by negative sign

Change in population in 1 year = -300\5

= -60

Town's population faces a decrease of 60 residents each year.

4 0

2 years ago

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft

Yuri [45]

Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³× 0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

Learn more with this similar problems:

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<u>brainly.com/question/7171617</u>

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2 years ago

Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 10 weeks, and she ha

MAVERICK [17]