WHERES THE CALCULATOR_____ WHERE IS IT
<span>Given
∠FHJ = 60°
</span><span>∠FGH = 28°
</span>∠FHG = 180 - ∠FHJ
∠FHG = 180 - 60
∠FHG = 120
∠HFG = 180 - (28 + 120)
∠HFG = 180 - 148
∠HFG = 32
![\bf \: Circumference \: of \: a \: circle = 2\pi \: r](https://tex.z-dn.net/?f=%20%5Cbf%20%5C%3A%20Circumference%20%5C%3A%20%20of%20%20%5C%3A%20a%20%5C%3A%20%20circle%20%3D%202%5Cpi%20%5C%3A%20r)
![\implies22 = 2 \times \dfrac{22}{7} r](https://tex.z-dn.net/?f=%20%5Cimplies22%20%3D%202%20%5Ctimes%20%20%5Cdfrac%7B22%7D%7B7%7D%20%20r)
![\implies22 = \dfrac{44}{7} \times r](https://tex.z-dn.net/?f=%20%5Cimplies22%20%3D%20%20%5Cdfrac%7B44%7D%7B7%7D%20%20%5Ctimes%20r)
![\implies \: r = \dfrac{22 \times 7}{44}](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20r%20%3D%20%20%5Cdfrac%7B22%20%5Ctimes%207%7D%7B44%7D%20)
![\implies \boxed{ r = \dfrac{7}{2} }](https://tex.z-dn.net/?f=%20%5Cimplies%20%5Cboxed%7B%20r%20%3D%20%20%5Cdfrac%7B7%7D%7B2%7D%20%7D)
Now,
![\bf \: Area \: of \: circle = \pi {r}^{2}](https://tex.z-dn.net/?f=%20%5Cbf%20%5C%3A%20Area%20%5C%3A%20%20of%20%20%5C%3A%20circle%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20)
![\rightarrow \: \frac{22}{7} \times ({ \frac{7}{2}) }^{2}](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%20%20%5Cfrac%7B22%7D%7B7%7D%20%20%20%5Ctimes%20%20%28%7B%20%5Cfrac%7B7%7D%7B2%7D%29%20%7D%5E%7B2%7D%20)
![\rightarrow \frac{22}{ \cancel7} \times \frac{ \cancel{49}}{4}](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Cfrac%7B22%7D%7B%20%5Ccancel7%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%5Ccancel%7B49%7D%7D%7B4%7D%20)
![\rightarrow \: 22 \times \frac{7}{4}](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%2022%20%5Ctimes%20%20%5Cfrac%7B7%7D%7B4%7D%20)
![\rightarrow \: 11 \times \frac{7}{2}](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%2011%20%5Ctimes%20%20%5Cfrac%7B7%7D%7B2%7D%20)
![\rightarrow \frac{77}{2}](https://tex.z-dn.net/?f=%20%20%5Crightarrow%20%5Cfrac%7B77%7D%7B2%7D%20)
![\rightarrow \: 38.5 \: cm {}^{2}](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%2038.5%20%5C%3A%20cm%20%7B%7D%5E%7B2%7D%20)
Area of rectangle = 38.5 cm².
Answer:
9
Step-by-step explanation:
12^n/12^5=12^4
n-5=4
n=9
Answer:
![\frac{1}{3^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%5E%7B3%7D%20%7D)
Step-by-step explanation:
you add the exponents
4 + (- 5) + (- 2) = 4 - 5 - 2 = -3
![3^{-3} = \frac{1}{3^{3} }](https://tex.z-dn.net/?f=3%5E%7B-3%7D%20%20%3D%20%5Cfrac%7B1%7D%7B3%5E%7B3%7D%20%7D)