Using math skills to answer a question
(x-7)^2 = 12
Explaination: it’s the answer trust me on this one :D
<span>To complete
the steps to demonstrate why you multiply by the reciprocal when
dividing fractions.
To find
![\frac{1}{4}\div\frac{3}8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cdiv%5Cfrac%7B3%7D8%7D)
Step 1:
Rewrite it as
![\frac{\frac{1}{4}}{\frac{3}{8}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B4%7D%7D%7B%5Cfrac%7B3%7D%7B8%7D%7D)
.
Step
2:
Multiply the numerator and the denominator by the reciprocal of
![\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D)
.</span><span>
</span><span>
![\frac{\frac{1}{4}}{\frac{3}{8}}=\frac{\frac{1}{4}}{\frac{3}{8}}\times\frac{\frac{8}{3}}{\frac{8}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B4%7D%7D%7B%5Cfrac%7B3%7D%7B8%7D%7D%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B4%7D%7D%7B%5Cfrac%7B3%7D%7B8%7D%7D%5Ctimes%5Cfrac%7B%5Cfrac%7B8%7D%7B3%7D%7D%7B%5Cfrac%7B8%7D%7B3%7D%7D)
Step
3:
Simplify the denominator
Step
4:
Simplify the fraction
</span><span>
![\frac{1}{4}\times\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Ctimes%5Cfrac%7B8%7D%7B3%7D)
.
We complete the solution as follows:
</span><span><span>
![\frac{1}{4}\times\frac{8}{3}=\frac{1\times8}{4\times3}\\ \\=\frac{8}{12}=\frac{4\times2}{4\times3}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Ctimes%5Cfrac%7B8%7D%7B3%7D%3D%5Cfrac%7B1%5Ctimes8%7D%7B4%5Ctimes3%7D%5C%5C%20%5C%5C%3D%5Cfrac%7B8%7D%7B12%7D%3D%5Cfrac%7B4%5Ctimes2%7D%7B4%5Ctimes3%7D%3D%5Cfrac%7B2%7D%7B3%7D)
</span></span>
Answer:
148cm^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(6 x 5) + 2(6 x 4) + 2(4 x 5)
= 2(30) + 2(24) + 2(20) then simplify
= 60 + 48 + 40
= 148
Answer:
<h2>r = 3 in</h2>
Step-by-step explanation:
The formula of a volume of a cone:
![V=\dfrac{1}{3}\pi r^2H](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2H)
r - radius
H - height
We have V = 12π in³ and H = 4 in. Substitute:
![12\pi=\dfrac{1}{3}\pi(r^2)(4)\qquad\text{multiply both sides by 3}\\\\36\pi=4\pi r^2\qquad\text{divide both sides by}\ 4\pi\\\\9=r^2\to r=\sqrt9\to r=3](https://tex.z-dn.net/?f=12%5Cpi%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%28r%5E2%29%284%29%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C36%5Cpi%3D4%5Cpi%20r%5E2%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%7D%5C%204%5Cpi%5C%5C%5C%5C9%3Dr%5E2%5Cto%20r%3D%5Csqrt9%5Cto%20r%3D3)