Answer:
y= 143°
x= 37°
Step-by-step explanation:
y is 143° cause they are the same thing just on the other side.
x us 37°cause 180-143 is 37.
45 / 2 = 22.5
You can get 22.5 hours of Internet for 45$.
Answer:
the container is 1/4 full at 9:58 AM
Step-by-step explanation:
since the volume doubles every minute , the formula for calculating the volume V at any time t is
V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume
thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4 ...
therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain
V=V₀*2^-t
V₀/4 = V₀*2^-t
1/4 = 2^-t
appling logarithms
ln (1/4) = -t* ln 2
t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2
thus t=2 min before 10 AM → 9:58 AM
therefore the container is 1/4 full at 9:58 AM
Answer:
32
Step-by-step explanation:
The shape in image is an equilateral triangle which means all of it's angles has equal measurements:
2x - 4 = 5y and that is equal to 60 degrees
2x - 4 = 60 add 4 to both sides
2x = 64 divide both sides by 2
x = 32
Answer:
12
Step-by-step explanation:
A = ½(b1 + b2)h
A = (3 + 5)(3)/2
A = 12
