Answer:
The area of the resulting cross section is 
Step-by-step explanation:
we know that
The resulting cross section is a circle congruent with the circle of the base of cylinder
therefore
The area is equal to
we have
-----> the radius is half the diameter
substitute the values
Answer:
x=5
Step-by-step explanation:
The right angle opposite is the hypotenuse
The 30° is the opposite
SohCahToa
Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)
10×sin(30)=5
Answer:
If rounded to the nearest 10 bacteria, then it would be 500 bacteria.
Step-by-step explanation:
First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.
x/10 + x/4 = 21 /*40
4x + 10x = 840
14x = 840
x = 60 = total number of points the team scored
Because the lines are parallel, 75 is equal to 11x-2
75=11x-2
77=11x
x=7
