Answer:
The correct answer is 8cm.
Step-by-step explanation:
Vol. Of cone= 1/3pi r²h
= 1/3×3.14× 8²×15
= 8×8×5×3.14
64× 5×3.14
= 320×314/100
=16×314=5024 cm³
Hope this helps:) Goodluck!
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
Answer:
Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
<u>Corresponding angles sum to 180</u>
- (2x - 10) + (4x + 16) = 180
- 6x + 6 = 180
- 6x = 174
- x = 174/6
- x = 29
<u>the question is </u> Calculate the value of the copper in the coin
Step 1
Find the volume of the coin
we know that
the volume of a cylinder is equal to

where
r is the radius of the coin
h is the thickness of the coin
in this problem we have
Diameter=19 mm=1.9 cm
r=D/2------> r=1.9/2=0.95 cm
h=1.5 mm=0.15 cm
substitute the values in the formula

Step 2
<u>Find the mass of copper in the coin</u>
we know that
the density is equal to

Solve for the mass

we have

substitute in the formula

Step 3
<u>Find the cost</u>
we know that
the market price of the copper is $2.15 per pound
1 pound=453.592 grams
convert gram to pounds
3.785 gr=3.785/453.592=0.0083 pounds
0.0083*$2.15=$0.018=$0.02
therefore
<u>the answer is</u>
$0.02