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BARSIC [14]
2 years ago
7

An umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,

Mathematics
1 answer:
erica [24]2 years ago
4 0

Answer:

Area = 121pi/12

~= 31.66 sq units

Step-by-step explanation:

They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.

Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.

Area of a circle is

A = pi × r^2

Area of one slice is 1/12 of the whole.

A(1 slice)

= 1/12× pi × r^2

See image.

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When you add their numbers together you get 207 . Jen's number is 9 more than Carrie's, and Fran's number is 3 less than Jen's n
murzikaleks [220]

Answer: Fran's number is 70

Step-by-step explanation:

Let x represent Jen's number.

Let y represent Carrie's number.

Let z represent Fran's number.

When you add their numbers together you get 207. This means that

x + y + z = 207 - - - - - - - - - -1

Jen's number is 9 more than Carrie's number. It means that

y = x - 9

Fran's number is 3 less than Jen's number. It means that

z = x - 3

Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.

x + x - 9 + x - 3 = 207

3x - 12 = 207

3x = 207 + 12 = 219

x = 219/3 = 73

y = x - 9 = 73 - 9

y = 64

z = x - 3 = 73 - 3

z = 70

8 0
3 years ago
24 is 4/5% of what number
docker41 [41]

Answer:

The number is 3000

Step-by-step explanation:

Is means equals

24 = 4/5 % *n

Lets change the percent to a decimal.  To change percent, we move the decimal to places to the left.

4/5= .8

4/5 % = .8%  = .008

24 = .008 *n

Divide  each side by .008

24/.008 = .008n/.008

3000 = n

7 0
3 years ago
Help please, finals week is upon me​
kenny6666 [7]

The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.

Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.

The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.

The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)

If point D is the circumcenter, then we know this

AD = BD = CD

basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.

<h3>Answer: (2.5, -3.5)</h3>

note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2

6 0
3 years ago
What is the image point of (-8,-1) after a translation left 3 units and up 4 units<br>​
Sedaia [141]

Answer:

(-11, 3)

Step-by-step explanation:

When you move -8 to the left its on the x-axis and it's on the negative side. Moving it to the left would mean the number is lower than -8. Moving it to the left 3 units would mean its -11. When you move -1 up 4 units it's on the y axis on the negative side in the beginning. Moving it up would mean the number is higher than -1. Moving -1 up 4 units would mean its 3.

4 0
2 years ago
Ryan is 14. Her brothers age is three more than half her age. How old is your brother?
yan [13]

Answer:  10


Step-by-step explanation:


8 0
3 years ago
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