Given that the radius of the circle is 6 cm.
The central angle is 120°
We need to determine the length of AB.
<u>Length of AB:</u>
The length of AB can be determined using the formula,

Substituting
and
in the above formula, we get;

Simplifying the values, we get;



Substituting π = 3.14, we have;


Thus, the arc length of AB is 12.56 cm
Answer: 79
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
<u>Given information</u>
10x² - 7x + 10
x = 3
<u>Substitute the value into the expression</u>
= 10 (3)² - 7 (3) + 10
<u>Simplify by multiplication</u>
= 10 (9) - 21 + 10
= 90 - 21 + 10
<u>Simplify by subtraction</u>
= 69 + 10
<u>Simplify by addition</u>
= 79
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
A rectangle has same opposite sides and 4 right angles as property of a rectangle.
The photo frame has different diagonal lengths
It makes opposite sides different, therefore it is not a rectangle
<u>Given angles (x - 20) and (x + 40) are consecutive interior angles which add up to 180°</u>
- x - 20° + x + 40° = 180°
- 2x + 20° = 180°
- 2x = 160°
- x = 80°
1/6³ is simply multiplying the fraction 3 times.
or the numerator 3 times and the denominator 3 times.
It can be: 1/6 * 1/6 * 1/6 = <u>1 * 1 * 1 </u> = <u> 1 </u>
6 * 6 * 6 216<u />
or <u> 1³ </u> = <u> 1 </u>
6³ 216
Answer:
Cecilia is could make 6 different earrings.
Step-by-step explanation:
There are 2 types of large shapes
And 3 types of small shapes.
So, different earrings Cecilia can make are 2*3 =6