<h3>
![\huge\sf\blue{Solution :-}](https://tex.z-dn.net/?f=%5Chuge%5Csf%5Cblue%7BSolution%20%3A-%7D)
</h3>
<u>Given,</u>
Volume of cone = 21π cm³
& It's Circumference = 6π
Find Radius,
★ Circumference = πr²
=> 6π = πr
=> 6π/π = r
=> r = 6 cm
Now,
★Volume of cone = 1/3πr²h
<h3>
![= > 21\pi = \frac{1}{3} \times 36\pi \times h \\ = > 21\pi = 12\pi \times h \\ = > \frac{21\pi}{12\pi} = h \\ = > \frac{7}{4} = h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > h \: = 1.75 \: cm](https://tex.z-dn.net/?f=%20%3D%20%20%3E%2021%5Cpi%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%2036%5Cpi%20%5Ctimes%20h%20%5C%5C%20%20%3D%20%20%3E%2021%5Cpi%20%3D%2012%5Cpi%20%5Ctimes%20h%20%5C%5C%20%20%3D%20%20%3E%20%20%5Cfrac%7B21%5Cpi%7D%7B12%5Cpi%7D%20%20%3D%20h%20%5C%5C%20%20%3D%20%20%3E%20%20%5Cfrac%7B7%7D%7B4%7D%20%20%3D%20h%20%5C%5C%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%3D%20%20%3E%20h%20%5C%3A%20%3D%201.75%20%5C%3A%20cm)
</h3>
<h3>★Hence, The value of height is 1.75 cm</h3>
Hope it helps youu....!!!
For this case, what we must do is calculate the speed of the runner.
We have then that the speed is given by:
![v =\frac{d}{t}](https://tex.z-dn.net/?f=%20v%20%3D%5Cfrac%7Bd%7D%7Bt%7D%20%20%20)
Where,
d: distance
t: time
Substituting values we have:
![v = \frac{8}{92}](https://tex.z-dn.net/?f=%20v%20%3D%20%5Cfrac%7B8%7D%7B92%7D%20%20)
![V = 0.09 \frac{miles}{minutes}](https://tex.z-dn.net/?f=%20V%20%3D%200.09%20%5Cfrac%7Bmiles%7D%7Bminutes%7D%20%20%20)
Answer:
the runners unit rate is:
![V = 0.09 \frac{miles}{minutes}](https://tex.z-dn.net/?f=%20V%20%3D%200.09%20%5Cfrac%7Bmiles%7D%7Bminutes%7D%20%20%20)
Answer:
5
Step-by-step explanation:
5
Answer:
i'm pretty sure it's d hope this helps
Step-by-step explanation:
Since
![x^2+4x+4=(x+2)^2](https://tex.z-dn.net/?f=x%5E2%2B4x%2B4%3D%28x%2B2%29%5E2)
Is a perfect square, we can think of the "-6" at the end as a "+4-10" and we have
![x^2+4x-6 = x^2+4x+4-10 = (x+2)^2-10](https://tex.z-dn.net/?f=x%5E2%2B4x-6%20%3D%20x%5E2%2B4x%2B4-10%20%3D%20%28x%2B2%29%5E2-10)
Which is the required form