Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
Answer:
The smaller angle is 45 degrees.
Step-by-step explanation:
Angles measure 180º. If there are two angles and one of them is three times the other, you would just divide 180 by 4.
The equation would look like:
3x + x = 180
First, the x would be added together:
4x = 180
Then, divide both sides by 4:
x = 45
The problem above is simply asking for you to convert the measurement given to another form of unit. In this case, we are asked to convert from Celsius to Fahrenheit. To do this, we use the given conversion equation above.
<span>F(c)=9(25)/5+32
F(c) = 77 degrees Fahrenheit</span>
Answer:
9
Step-by-step explanation:
3/8=x/24 (cross multiplication)
3*24=8x (we don't need to multiply 3 with 24 bc we will divide both sides by 8 so it will be easier to find the final value)
x=9
Answer: 300 percent
Step-by-step explanation:
Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.