Answer:
(4 x 3) x 2=
=12 x 2
=24
Step-by-step explanation:
Answer:
k = 2
Step-by-step explanation:
Based on the right triangle altitude theorem, thus:
4 = √(k*8)
Square both sides
4² = k*8
16 = 8k
Divide both sides by 8
16/8 = 8k/8
2 = k
k = 2
Answer:
10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Arc length of the circle is given by,
Arc length = ![\frac{\theta}{360^{\circ}}(2\pi r)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20r%29)
Area of the sector of a circle = ![\frac{\theta}{360^{\circ}}(2\pi r)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20r%29)
22). Arc length of the circle having central angle = ![\frac{\pi}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B3%7D)
= 60°
Arc length = ![\frac{60^{\circ}}{360^{\circ}}(2\pi )(7)](https://tex.z-dn.net/?f=%5Cfrac%7B60%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20%29%287%29)
= ![\frac{14\pi }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B14%5Cpi%20%7D%7B6%7D)
= 7.33 cm
23). Arc length of the circle having central angle = 225°
Arc length = ![\frac{225^{\circ}}{360^{\circ}}(2\pi )(10)](https://tex.z-dn.net/?f=%5Cfrac%7B225%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20%29%2810%29)
= 12.5π
= 39.27 km
24). Central angle = ![\frac{5\pi }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B4%7D)
= ![\frac{5\times 180^{\circ}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Ctimes%20180%5E%7B%5Ccirc%7D%7D%7B4%7D)
= 225°
Area of the sector = ![\frac{225^{\circ}}{360^{\circ}}(2\pi )(11)](https://tex.z-dn.net/?f=%5Cfrac%7B225%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20%29%2811%29)
= 43.20 yd²
25). Area of the sector = ![\frac{270^{\circ}}{360^{\circ}}(2\pi )(14)](https://tex.z-dn.net/?f=%5Cfrac%7B270%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%282%5Cpi%20%29%2814%29)
= 65.97 yd²
Answer:
1 1/6
Step-by-step explanation:
2 2/3 = 2+2/3
1 1/2 = 1+1/2
So (2 2/3) - (1 1/2)=2+2/3-(1+1/2)=
2+2/3-1-1/2=1+(2/3-1/2)=1+(4-3)/6=1+1/6=
1 1/6