The answer is b
A^2+b^2=c^2
9^2+12^2=15^2
81+144=225
8x+y=18
Y=3x-22
8x+3x-22=18
11x=40
X=40/11
Y=3×40/11-22
Y=-122/11
X=40/11
Y=-122/11
X+8y=17
X=y+8
Y+8+8y=17
9y=9
Y=1
X=1+8
X=9
Y=1
9x+y=58
Y=2x-8
9x+2x-8=58
11x=66
X=6
Y=2(6)-8
Y=12-8
Y=4
X=6
X+8y=21
X=2y+1
2y+1+8y=21
10y=20
Y=2
X=2 (2)+1
X=5
Y=2
Answer:
9/13
Step-by-step explanation:
Total = 9 + 4
= 13
Probability: 9/13
Answer:
The correct option is D.
8π = 1/3 * π * (r)² * 6
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 8π
r = radius
h = height = 6cm
π = pi
v = 1/3 * π * r² * h
we replace with the known values
8π = 1/3 * π * (r)² * 6
If we look at the options, the correct option is D.
<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