Answer:
A. 1206 cm³
Step-by-step explanation:
We have a cone and are asked to find the approximate volume of it.
Keep in mind we are using π for 3.14
The forumla of a cone is V = πr²
We know the radius = 12
and the height = 8
Substitute :
V = π12²
Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:
V = 
Cancel the common factor - 3 :
V = 
Multiply 8 and 3π :
V = 
Solve the exponent :
V = 
Multiply :
V = 
Multiply for the final answer :
1205.76 cm³
which can be rounded up to
A. 1206 cm³
Answer:
Step-by-step explanation:
First I want to set up some variables.
S = sum
n = final term
ax = xth term, so a1 is the first term and an is the last one
d = common difference.
There are two formulas to find the sum, if you don't get how they were gotten I'd be happy to explain.
S = (n/2)(a1+an) = (n/2)(2a1+(n-1)d)
So, to find n we use the first one.
S = (n/2)(a1+an)
123 = (n/2)(8+33)
123 = (n/2)41
3 = n/2
6 = n
Now we can find d with the other one
S = (n/2)(2a1+(n-1)d)
123 = (6/2)(2*8+(6-1)d)
123 = 3(16+5d)
41 = 16+5d
25 = 5d
5 = d
so there are six terms and the common difference is 5.
Answer:
2250m
Step-by-step explanation:
Step 1
Since
Hence,
tan x = 3/4
tan y=5/7
tan x = BA/ CA where BA = height and CA = distance
3/4 = h/ d
4h = 3d
h = 3d/4.......... Equation 1
tan y = BA / DA + 150m
5/7 = h/d + 150
7 × h = 5(d + 150)
7h = 5d + 750............ Equation 2
Since h = 3d/4
7(3d/4) = 5d + 750
21d/4 = 5d + 750
Multiply both sides by 4
21d = 4(5d + 750)
21d = 20d + 3000
21d -20d = 3000
d = 3000
Distance (d) = 3000m
Substitute 3000m for d in equation 1
h = 3d/4
h = 3 × 3000/4
h = 2250m
Say that you multiplied the numerator and the denominator by 2
