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lukranit [14]
3 years ago
7

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

Mathematics
2 answers:
m_a_m_a [10]3 years ago
3 0
C = πD = π6in

Arc = D * 70°/360° = 3.1416*6*7/36=3.67 in
Leya [2.2K]3 years ago
3 0

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.

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You can represent an odd integer whith the expression 2n+1, where n is any integer . Write and solve an equation to find three c
oksian1 [2.3K]
Any odd number can be expressed by 2n+1.

For example,  

2n+1=111
2n=110
n=110/2=55

means that 111 is 2n+1 for n=55


Thus if an odd number is 2a+1, the next few numbers are as follows:

2a+1, 2a+2, 2a+3, 2a+4, 2a+5

So 2a+1, 2a+3 and 2a+5 are 3 consecutive odd numbers.


Back to our problem: 

three consecutive odd numbers whose sum is 63 are:

(2n+1)+(2n+3)+(2n+5)=63

6n+9=63

6n=63-9=54

n=54/6=9


2n+1=2*9+1=18+1=19, the 2 next odd numbers are 21 and 23


Answer: 19, 21, 23



5 0
3 years ago
The sum of the angles of any triangle is
statuscvo [17]

Answer:

180 degrees

Step-by-step explanation:

4 0
3 years ago
Sam brought brushes for $8,a palette for $5,and oil paints for $15.He paid 29.82 in all.What sale-tax rate did Sam pay?
sertanlavr [38]
8+5+15=28 
29.82-28=    1.82 or 182%



5 0
3 years ago
PLS HALLP (20 POINTS)
german

Answer:

The value of k is -2

Step-by-step explanation:

The cut point with the y axis for both graphs occurs when x = 0

We then have:

For f (x):

The cut point for the y axis is:

For g (x):

The cut point with the y axis is:

The value of k is given by the vertical displacement of graph k units.

We then have:

Let's clear k:

I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out

7 0
3 years ago
PLEASE HELP!!!!!!!!!​
STatiana [176]

Answer:

answer is x=14.4.......,......

4 0
3 years ago
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