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3 years ago

A kintted pot holder is shaped like a circle. It's radius is 4.5 in. What is the area?

Mathematics

2 answers:

lesya [120]3 years ago

8 0

Answer:

A =63.585 in^2

Step-by-step explanation:

The area of a circle is found by

A = pi r^2

A = pi (4.5)^2

A = pi(20.25)

We can approximate pi by 3.14

A = (3.14) (20.25)

A =63.585 in^2

MakcuM [25]3 years ago

7 0

Answer:

about 63.6 inches

Step-by-step explanation:

formula to find the area of a circle: pi*r^2

pi = 3.14

r = 4.5

3.14*4.5*4.5 = 63.585

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A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red

mamaluj [8]

Let red marbles = X.

The probability is 1 out of 5, written as 1/5

1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.

1/5 = x/5x

Now you have 5x total marbles, x red and 4x blue.

Add 5 more red and the new probability is:

(x+5)/(5x+5) = 1/3

Simplify:

3x+15 = 5x+5

Now solve for x:

Subtract 3x from both sides:

15 = 2x +5

Subtract 5 from each side:

2x = 10

Divide both sides by 2:

x = 10/2

X = 5

There were originally 5 red marbles.

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3 years ago

Please help with one of these

LekaFEV [45]

Number 10 is Answer: y=2.5/2x+3.5

Step-by-step explanation:

The 3.5 is the y intercept because it is when x is 0. The slope is just the change in y over the change in x

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3 years ago

Find x<br> A. 22√2<br> B. 22<br> C. 11√3/3<br> D. 11√3

mel-nik [20]

Answer

$22\sqrt{2}$

Step-by-step explanation:

First we gave a name to the side that is common for both triangles, can be Y for example.

Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.

$sin(45)=\frac{11}{Y} \\$ , Because sin(x)= op/hip

$cos(60)=\frac{Y}{x}$ , Because con(x)=ad/hip

Having this equations, we can solve the system and find x

$Y=\frac{11}{sin(45)} \\Y=cos(60)*x$

we equal Y and solve

$\frac{11}{sin(45)}=cos(60)*x\\ x=\frac{11}{sin(45)*cos(60)} \\x=\frac{11}{\frac{\sqrt{2} }{2} *\frac{1}{2} } \\x=\frac{11}{\frac{\sqrt{2} }{4} } \\x=\frac{44}{\sqrt{2} }\\$

Then we rationalize

$x=22\sqrt{2}$

Hope you like it!

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3 years ago

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(Score for Question 1: ___ of 6 points)

MAVERICK [17]

I think the first is B

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Lorico [155]

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