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3 years ago

Find the Area of a circle with a radius of 6 cm.

1 answer:

7 0

The answer is B 113.04

Explanation
Assuming pi in this instance is 3.14
The formula for the area of a circle is A=(pi)r^2
Plug in the radius
A=3.14x6^2
Is 113.04

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The steps for determining the center and radius of a circle using the completing the square method are shown below:

Fudgin [204]

The answer is option c.
That is, the wrong step in step 6. It was written that the center of the circunference is the point (2.1). However, the general equation of a circumference is:
(X- (a)) ^ 2 + (Y- (b)) ^ 2 = r ^ 2
Where the point (a, b) is the center of the circle.
So for this case the point for the center is: (-2, -1)

7 0

4 years ago

Calculate the value of X in the diagram

Andrew [12]

Answer:

$EA = \frac{21 \times 15}{7} = 45 \\ { \tt{ \frac{21}{7} = \frac{x}{45} }} \\ x = 135$

5 0

3 years ago

The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle

Debora [2.8K]

Answer:

The width of the rectangle is 14'8", and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

$l = 2w + 4$

The perimeter is 96 feet:

$p = 96$

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

$p = 2l + 2w$

We can solve for w by plugging the other two values into the last:

$p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}$

Now we can find the length by plugging w into the first equation:

$l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}$

One third of a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

$p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96$

So we know our answer's correct

8 0

3 years ago

There are 45 red tiles,25 blue tiles and 30 green tiles in a bag.

Mazyrski [523]

This is a question of probability.
Probability of picking any color= number of tiles with that color/total number of tiles
Total=45+25+30=100
P(red tile)=(45/100)x60=0.45x60=27
P(blue tile)=(25/100)x60=0.25x60=15
P(green tiles)=(30/100)x60=0.3x60=18

7 0

3 years ago

The diagram shows a right-angled triangle.

crimeas [40]

Answer:

Maybe try 23-9. Or maybe the answer is 23, hopefully this helped.

Step-by-step explanation:

8 0

3 years ago