If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

Answers

Answer 1
Answer:

Answer:

Length of arc of a circle is given by:

L = r \cdot \theta     .....[1]

where

L is the length of an arc

r is the radius of  the circle.

As per the statement:

Diameter of the circle(D) = 6 inches.

we know that:

D  =2r

6 = 2r

Divide both sides by 2 we get;

3 = r

or

r = 3 inches

We have to find the long arc arc subtended by an angle measuring 70°.

Substitute the value of r = 3 inches and \theta = 70^(\circ) in [1] we have;

L =3 \cdot 70

Simplify:

L = 210 inches

Therefore, 210 inches long is the arc subtended by an angle measuring 70 degree.

Answer 2
Answer: C = πD = π6in

Arc = D * 70°/360° = 3.1416*6*7/36=3.67 in

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Answers

Answer:  Find the probability that the number x of correct answers is fewer than 4 = 0.6087

Step-by-step explanation: Please find the attached files for the solution

Explain the steps you would take to find the quotient of 1/3 divided 4/3

Answers

Answer: 1/4

Step-by-step explanation: Here, we have 1/3 ÷ 4/3.

Dividing by a fraction is the same

as multiplying by its reciprocal.

In other words, we can change the division sign

to multiplication and flip the second fraction.

So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.

Now we're simply multiplying fractions.

Before multiplying however, always try to cross-cancel.

Notice that we can cross-cancel 3 and 3 to 1 and 1.

So we now have 1/1 × 1/4.

Multiplying across the numerators

and denominators, we have 1/4.

Answer:

1/4

Explanation:

1/3 is the dividend while 4/3 is the divisor.

The quotient is the resulting number after the division is made.

1/3 divided by 4/3

Is the same as

1/3 x 3/4

This results in 3/12 which when simplified is 1/4

a total of 234 tickets were sold for the school play. they were either adult tickets or student tickets. the number of students tickets sold was two times the number of adult tickets sold. how many adult tickets were sold.

Answers

Answer:

78 adult tickets were sold

2x + x = 234

3x = 234

x = 78

Consider the quadratic function f (x)= x2-5x+6

Answers

a is the coefficient of x² and is 1
b is the coefficient of x and is -5
c is the term without x and is 6
a=1 b=-5 and c=6 its easy

Katie has a cube with an edge length of3 inches. Malea has a cube whose volume is 8
times greater than the volume of Katie's cube.
What is the length of Malea's cube?

Answers

Answer:

3 x 8 = ____16____

Step-by-step explanation:

8+8+8= 16 or 3+3+3+3+3+3+3+3= 16

Hope this helps :)

Answer:

3 x 8 = ____16____

Step-by-step explanation:

8+8+8= 16 or 3+3+3+3+3+3+3+3= 16

Step-by-step explanation:

)A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?18 square feet
32.5 square feet
65 square feet
130.5 square feet

Answers

The area of the flower bed is 32.5 square feet.

Given information:

A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet.

Calculation of the area:

= 13 * 5 / 2

= 32.5 square feet

Learn more about the area here: brainly.com/question/11106375

13x5=65
65 divided by 2 = 32.5
the answer is 32.5 square feet

hope this helps :)