V= 1/3
h
V= 3.14 * (4*4) * 10 /3
4*4 = 16*10=160
160*3.14 = 503.4
503.4/3 = 167.46666 continued
rounded to the nearest tenth, your answer would be:
167.5
<span>Solve the following system of equations by linear combination:
3x + 2y = 7
y = x – 4
</span><span>3x+2(x-4)=7 now solve for x
3x+2x-8=7
combine terms
5x-8=7
add 8
5x=15
divide by 5
x=3
plug that into the second equation
y=3-4
y=-1
solution
(3,-1)</span>
Because G is a 90 degree angle ( right angle) the 2 angles given when added together also need to equal 90 degrees:
4x + 5x = 90
Combine like terms:
9x = 90
Divide both sides by 9:
X = 90/9
X = 10
2x and 8X are supplementary angles and need to equal 180 degrees when added together:
2x + 8x = 180
Combine like terms:
10x = 180
Divide both sides by 10:
X = 180 /10
X = 18
The inside angle where they have 32 is a vertical angle to 32 so it is also 32.
The four inside angles need to equal 360 degrees.
Subtract the 3 known angles from 360 to find x:
X = 360 - 158 - 148 - 32 = 22 degree.
Answer:
504
Step-by-step explanation:
Given,
common ratio (r) = 0.5
first term (
) is 256
Sum of first n terms in geometric series is given by the formula (r < 1):
Hence, sum of first 6 terms mean:
r = 0.5
a = 256
n = 6
Substituting, we get the answer to be:
The sum of first 6 terms is 504
