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3 years ago

If the center of a circle is (1, 1), and it has a radius of 5, which is another point on the circle?

Mathematics

1 answer:

Rufina [12.5K]3 years ago

6 0

Answer:

(4,5)

Step-by-step explanation:

The equation of a circle that has centre coordinates (a,b) and radius r is

(x-a)^2+(y-b)^2=r^2

so (4,5) satisfy the equation

3^2+4^2=9+16=25

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A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in

mafiozo [28]

Answer:

$6524.51 ft^2$

Step-by-step explanation:

The surface area of a cylinder is given as;

$SA = 2\pi rh + 2\pi r^2$

where r = radius

h = height

The cylinder has a height of 32 feet and a diameter of 40 feet. This means that the radius is:

40 / 2 = 20 feet

The surface area is therefore:

$SA = (2*\pi* 20 * 32) + (2*\pi *20^2)\\\\SA = 4021.24 + 2513.27\\\\SA = 6524.51 ft^2$

The surface area of the cylinder is $6524.51 ft^2$ .

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3 years ago

Factor the expression: 3x + 6*<br> Please help

attashe74 [19]

Answer:

3(x+2)

Step-by-step explanation:

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2 years ago

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There are 30 children eating ice cream. 2/5 of the children have chocolate. 1/3 of them have vanilla. The rest have strawberry.

defon

Answer:

28/2

Step-by-step explanation:

8 0

2 years ago

How many liters of a 10% antifreeze solution and a 40% antifreeze solution must be mixed to make 15 liters of a 25% solution? Ro

butalik [34]

Answer:

7.5 liters of a 10% antifreeze solution AND

7.5 liters of a 40% antifreeze solution

Step-by-step explanation:

According to the question,we were asked to find out how many liters of 10% anti freeze solution and 40% anti freeze each to make a 15 liters 25% mixture

Let’s call

the amount of liters needed of our 10% solution “x”. So, how

many liters do we need of the 40% solution? Well, there are 15

liters in total, x liters have been spoken for, so what remains

of our allotted 10 liters then, is 15-x.

Now let's solve for "x"

10% of x + 40% of (15 - x) = 25% of 15 liters

0.1x + 0.4(15 - x) = 0.25(15)

0.1x + 6 - 0.4x = 3.75

Collect the like terms and we have

0.3x = 2.25

x = 2.25 × 3

X = 7.5(Liters for the 10% anti freeze solution)

The 40% solution= 15 - 7.5 = 7.5 liters

Since "X" was used to fill for the unknown amount of 10% anti freeze solution,we have 7.5 liters of the 10% solution and another 7.5 liters for the 40% solution to end up with 15 liters of the desired 25% solution.

8 0

3 years ago

In the accompanying diagram, parallelogram ABCD has

Taya2010 [7]

Answer:

The area of the paralellogram is 24 square units.

Step-by-step explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

$A = b\cdot h$ (1)