Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × ![\frac{60}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B360%7D)
= 2π × 10 ×
=
=
cm → C
-----------------------------------------------------
2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × ![\frac{60}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B360%7D)
= π × 10² ×
=
=
cm² → D
Answer:
<h2>35 × (3 + m)</h2>
Step-by-step explanation:
The distributive property:
<em>a × (b + c) = a × b + a × c</em>
105 = 35 × 3
35m = 35 × m
105 + 35m = 35 × 3 + 35 × m = 35 × (3 + m)
Answer:
Radius=3
Diameter=6
Circumference=18.85
Step-by-step explanation:
3x2
C=2πr=2·π·3≈18.84956
Answer:
x = 4![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 9²
x² + 1 = 81 ( subtract 1 from both sides )
x² = 80 ( take square root of both sides )
x =
=
=
×
= 4![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)