Answer: radius = 10 cm.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder = π r² h
Where:
r = radius
h = height
Replacing with the values given:
3768 =π r² 12
Solving for r
3768/ (12π) = r²
99.95 = r²
√99.95 = r
r = 9.99 ≅ 10 cm (rounded)
Feel free to ask for more if needed or if you did not understand something.
Answer:
15.7 years
Step-by-step explanation:
we know that
The deforestation is a exponential function of the form

where
y ----> the number of trees still remaining in the forest
x ----> the number of years
a is the initial value (a=500,000 threes)
b is the base
b=100%-4.7%=95.3%=95.3/100=0.953
substitute

The linear equation of planting threes in the region is equal to

using a graphing tool
Solve the system of equations
The intersection point is (15.7,235,110)
see the attached figure
therefore
For x=15.7 years
The number of trees they have planted will be equal to the number of trees still remaining in the forest
Answer:
x = 20
Step-by-step explanation:
The congruence statement tells you that angle A is congruent to angle D. (Both are listed first in the triangle names.) This means ...
∠A = ∠D
3x -10 = 2x +10
x = 20 . . . . . . . . . . add 10-2x to both sides
B is 5, you can solve this by first finding the value of a, which is 2, and then plug it into the other equation. 8+2=10 so we must also make the other side 10. We then do 10-5=5, 5 is the value of b