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Cerrena [4.2K]
3 years ago
10

Arc length and area

Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

60^\circ

Step-by-step explanation:

Angle ABC is formed by two tangents drawn from point B outside the circle.

The measure of angle ABC is half the difference between the two intercepted arcs.  One of those arcs is arc ADC, the big one with measure 240 degrees.  The smaller arc, closer to point B, is arc AC with measure 120 degrees.

m\angle ABC=\frac{1}{2}(240^\circ - 120^\circ)=60^\circ

To find out more, do an Internet search for "arcs and angles in circles".

You might be interested in
Leslie has a rectangular patio. She measures it and finds out it is 2135 feet long by 1115 feet wide. She wants to know how many
larisa86 [58]

Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)

(2) She will have to spend $1,785,393.75 to cover her patio.

Step-by-step explanation: Please refer to the picture attached.

The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;

Area = L x W

Where the length is 2135 and the width is 1115,

Area = 2135 x 1115

Area = 2380525

**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as

Area = L x W

Area = 1 x 1

Area = 1 square foot**

(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.

(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;

Cost = Area x cost per tile

Cost = 2380525 x 0.75

Cost = 1785393.75

The total cost therefore is $1,785,393.75

7 0
4 years ago
Can you answer this?
nignag [31]
The answer is the graph b.
4 0
3 years ago
a certain job can be done in 20 hours by 4 people. how many people are needed to do the same job in 10 hours?
maxonik [38]
If it takes 4 people to get a job done in 20 hours, then in 10 hours, it will take 2 people to complete the same job.
To find out how many people are needed to do this job in 10 hours, we can see that we got to 10 hours by dividing 20 by two so, to see how many people are needed to complete this same job in ten hours, we would just divide 4 people by 2 which is 2 people.
So, in conclusion, if it takes a certain job to be done in 20 hours by 4 people, then it would take 10 hours for that same job to be completed by 2 people.
Glad I could help!
7 0
3 years ago
The sum of two numbers is 8, and their product is 15. What is the largest number?
AfilCa [17]
Hello there!

The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15

First, we know that the two number must be positive and under 8, as the product is positive.

Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4

Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.

Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.

The largest number is 5.

I hope this helps!
3 0
4 years ago
What is the formula for midpoint??
Feliz [49]
(-4,4) (3,-2)
formula for finding mid point is
M=(x1+x2/2,y1+y2/2)
m=-4+3/2,4-2/2
m=(-1/2,1)
4 0
3 years ago
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