Answer:
20 orders: 1/2 The cupcakes would be: 1/5 and songs would be: 1/4
Step-by-step explanation:
I'm so sorry if I get this wrong! I'm pretty sure im correct but not positive
Given:
A figure of right triangle with terminal angle
, base u, perpendicular v and hypotenuse r.
To find:
The value of
.
Solution:
In a right angle triangle,
![\sin \theta=\dfrac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D)
Substituting Perpendicular = v and hypotenuse = r in the above formula, we get
![\sin \theta=\dfrac{v}{r}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cdfrac%7Bv%7D%7Br%7D)
The value of
is
.
Therefore, the correct option is B.
Answer:
is this posible
Step-by-step explanation:
Check the picture below.
so, we know the perimeter of the base is 17, thus
![s + s + s + s = 17\implies 4s=17\implies s=\cfrac{17}{4} ~\hfill \stackrel{\textit{area of the base}}{s^2\implies \left( \cfrac{17}{4} \right)^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=\textit{base's area}\\[-0.5em] \hrulefill\\ h=15\\ B=\frac{17^2}{4^2} \end{cases}\implies \begin{array}{llll} V=\cfrac{1}{3}(15)\left( \cfrac{17^2}{4^2} \right)\implies V=\cfrac{1445}{16} \\\\\\ V \approx 90.31 \end{array}](https://tex.z-dn.net/?f=s%20%2B%20s%20%2B%20s%20%2B%20s%20%3D%2017%5Cimplies%204s%3D17%5Cimplies%20s%3D%5Ccfrac%7B17%7D%7B4%7D%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20base%7D%7D%7Bs%5E2%5Cimplies%20%5Cleft%28%20%5Ccfrac%7B17%7D%7B4%7D%20%5Cright%29%5E2%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bvolume%20of%20a%20pyramid%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7BBh%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20B%3D%5Ctextit%7Bbase%27s%20area%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20h%3D15%5C%5C%20B%3D%5Cfrac%7B17%5E2%7D%7B4%5E2%7D%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20V%3D%5Ccfrac%7B1%7D%7B3%7D%2815%29%5Cleft%28%20%5Ccfrac%7B17%5E2%7D%7B4%5E2%7D%20%5Cright%29%5Cimplies%20V%3D%5Ccfrac%7B1445%7D%7B16%7D%20%5C%5C%5C%5C%5C%5C%20V%20%5Capprox%2090.31%20%5Cend%7Barray%7D)
Answer:
2/3 is the answer
40 minutes is 2/3 of one hour