The third one/upper right graph (bc it passes the vertical line test)
Answer:
r=1.37
Step-by-step explanation:
so first we have to change 32/2 to a decimal
to do that you have to divide 32÷3=10.66...7
the formula to find the radius when given the volume is r=(
)^1/3
r=(
)^1/3
r= 1.37
then to check your work-
v=4/3π1.37^3
v=10.77
technically 10.77 and 10.6666666667 aren't equal but that's as close as it'll get
good luck :)
i hope this helps
have a nice day !!
Answer:
340.63
Step-by-step explanation:
To find the area we need to calculate the height of the triangle and one of its sides. the bisector cuts the 60° angle in two of 30°. In the picture I drew the triangle and the sides we need to calculate are y and h.
![\angle C = 180-45-60= 75.](https://tex.z-dn.net/?f=%5Cangle%20C%20%3D%20180-45-60%3D%2075.)
![\angle ACT = 180-30-75 = 75.](https://tex.z-dn.net/?f=%5Cangle%20ACT%20%3D%20180-30-75%20%3D%2075.)
We are going to calculate x, y and h with sin law:
![\frac{x}{sin(75)}= \frac{24}{sin(75)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin%2875%29%7D%3D%20%5Cfrac%7B24%7D%7Bsin%2875%29%7D)
![x= \frac{24*sin(75)}{sin(75)}=24.](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B24%2Asin%2875%29%7D%7Bsin%2875%29%7D%3D24.)
![\frac{y}{sin(60)}= \frac{24}{sin(45)}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bsin%2860%29%7D%3D%20%5Cfrac%7B24%7D%7Bsin%2845%29%7D)
![y= \frac{24*sin(60)}{sin(75)}=29.39.](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B24%2Asin%2860%29%7D%7Bsin%2875%29%7D%3D29.39.)
![\frac{h}{sin(75)}= \frac{24}{sin(90)}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bsin%2875%29%7D%3D%20%5Cfrac%7B24%7D%7Bsin%2890%29%7D)
![h= \frac{24*sin(75)}{sin(90)}=23.18.](https://tex.z-dn.net/?f=h%3D%20%5Cfrac%7B24%2Asin%2875%29%7D%7Bsin%2890%29%7D%3D23.18.)
Then, the area of the triangle is
A = ![\frac{y*h}{2} = \frac{29.39*23.18}{2}= 340.63.](https://tex.z-dn.net/?f=%5Cfrac%7By%2Ah%7D%7B2%7D%20%3D%20%5Cfrac%7B29.39%2A23.18%7D%7B2%7D%3D%20340.63.)
Hi. Here you go, hope it helps.
10,000 grams = 10 kilograms
1/500,000 liters equal = 2 microliters
1 nanosecond = 1 billionth of a second
1 hectometer = 100 meters
1 milliampere = 0.001 ampere
1 megaton = 1,000,000 tons
Take care,
Diana