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Xelga [282]
3 years ago
15

Given that chord EF is a diameter of circle D, which of the following names a major arc?

Mathematics
2 answers:
Bogdan [553]3 years ago
8 0

Answer:

A is the correct answer

Step-by-step explanation:

Thepotemich [5.8K]3 years ago
3 0

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the chord EF is a diameter of circle D.

Arc is a part of circumference. If two points lying on a circle then the shortest arc is called the 'minor arc' the longer one is called the 'major arc'.

The arc EGC is the sum of arc EG,GF and FC. The length of EGC is more than half of the circumference because EF is diameter and a diameter divides the circumference in two equal parts.

The arc EGF is the sum of EG and GF. Therefore arc EGF is less than EGC. Therefore option B is incorrect.

The arc EG is less than EGC. Therefore option C is incorrect.

The arc ECF is the sum of EC and EF. The length of ECF is half of the circumference because EF is diameter. Therefore arc ECF is less than EGC. Therefore option D is incorrect.

So, the correct option is A.

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Shane is using pieces of square paper to cover a cube shaped gift with sides that are 9 inches long to find out the area of the
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Answer:

The area of the cube is 486 inches^2

Step-by-step explanation:

In this question, we are tasked with calculating the area of cube with side 9 inch.

Mathematically, the area can be calculated using the formula A = 6s^2

Now, what we need to do is to substitute 9 inches for s

Thus, A = 6 * 9^2

A = 6 * 81

A = 486 inches^2

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3 years ago
The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor?
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1) both  have  positives    signs    OR

2) both  have    negatives signs

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Find the distance between the points (-9,2) and (-1,4). Round to the nearest tenth if necessary.
AlekseyPX

Answer:

The answer to the nearest tenth is 8.2

Step-by-step explanation:

In order to find the distance between any two points, you must use the distance formula. when you plug in the points into the formula you end up with 8.246, rounded to the nearest tenth would be 8.2. I hope this helps!

8 0
3 years ago
A certain bowling league has weekly matches where two teams compete against each other. Each team has four players whose individ
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On Fridays, Jerry stops at Steak & Taco Shack before he goes home. This week
Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

5 0
3 years ago
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