If a 100(degree) arc of a circle has a length of 8 inches, to the nearest inch, what is the radius of the circle?

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Answer 1
Answer:  100(degree) arc of a circle has a length og 8 inches what is og

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Which of the following expressions is not equivalent to:4(3x2 + 6x)A. 12x2 + 24x B. 2x(6x + 12) C. 6x(2x2 + 4x)
How do you divide a fraction

Help me out pls!! 17p

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So

13-___=6
So 13-6=___

6-___=-1
6-(-1)=___

-1-____=-8
-1-(-8)=___

Well 13-6= 6+1= -1+8= 7

Math question please help

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a flight that travels 525 miles would cost $81

Which of the following statements is always true? A. Acute triangles are scalene. B. Scalene triangles are acute. C. Acute triangles are equilateral. D. Equilateral triangles are acute.

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D.) equilateral triangles are acute.
- In an equilateral triangle, the 3 angles are always 60 degrees.

Final answer:

None of the given options in the question are true. Not all acute, scalene or equilateral triangles are the other types. They have distinct characteristic which defines them.

Explanation:

The subject matter of this question is about the different types of triangles, namely acute triangles, scalene triangles, and equilateral triangles.

An acute triangle is a triangle in which all three angles are less than 90 degrees. A scalene triangle is a triangle where all sides and angles are different. An equilateral triangle is a triangle where all sides and angles are equal, with each angle being 60 degrees.

Looking at these definitions, we can see that none of the given options are true. Not all acute triangles are scalene (they can be isosceles or equilateral), not all scalene triangles are acute (they can be obtuse or right), not all acute triangles are equilateral (they can be scalene or isosceles), and not all equilateral triangles are acute (they are, by definition, always acute).

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At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class. Nonmembers pay $6 for each aerobic class. For what number of aerobics classes will the cost for members and nonmember be the same?

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In the aerobics classes of 4 will the cost for members and nonmember be the same.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class.

And, Nonmembers pay $6 for each aerobic class.

Now,

We can formulate;

For members, the cost = $8 + 4x

Where, x is the aerobic class.

For nonmembers;

The cost = 6x

We can equate both the equation, we get;

6x = 8 + 4x

Solve for x as;

6x - 4x = 8

2x = 8

x = 4

Thus, In the aerobics classes of 4 will the cost for members and nonmember be the same.

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An aerobic lesson will be defined as 'a'
For every member lesson, they pay $4, so they will be represented as 4a
For every non member lesson, they pay $6, so they are 6a
Don't forget members have to pay $8 at the start, so they have to be 4a + 8
So
4a + 8 = 6a is our final equation
Move the 'a's to one side, by subtracting 4a from each side, giving you
8 = 2a
Divide by 2 to isolate a
4 = a
After 4 aerobics classes, the cost will be the same

Evaluate if c=3 and d=-4 2c/d

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Substitute 3 into the expression for c and -4 for d. So, 2c/d = 2(3)/(-4) = 6/-4 = -3/2.  The answer is -3/2.

AC and BD are perpendicular bisectors of each other. Find the perimeter of ADE. m<D = 12, AB = 13, EC = 5.

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The perimeter of the triangle ΔADE will be 30 units.

What is the perimeter of a triangle?

Let the triangle be ABC.

Then the perimeter of the triangle will be

Perimeter = AB + BC + CA

AC and BD are perpendicular bisectors of each other.

The diagram is shown below.

P = AD + DE + EA

P = 13 + 12 + 5

P = 30 units

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THE CORRECT ANSWER IS 30.

AC and BD are perpendicular bisectors of each other.

=> ABCD is rhombus.

AD = 13

AE = √(13^2 - 12^2) = 5

the perimeter of triangle ADE = 13+12+5 = 30