<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
Answer:
The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle
The Leg Rule (or Leg geometric mean theorem) relates the length of each leg of a right triangle with the segments projected by them on the hypotenuse.
Step-by-step explanation:
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse. Notice the triangle used with this rule. The leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse.
You will need 3.333.... cups of rice to make 10 servings of casserole.
<u><em>Explanation</em></u>
The recipe which makes 6 servings of casserole, needs 2 cups of rice.
Suppose, you need 
cups of rice for making 10 servings of casserole.
Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....
So, you will need 3.333.... cups of rice to make 10 servings of casserole.
20. parallel lines will have the same slope, but different y intercepts
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
So y = 3x + 4 and y = 3x + 6 are parallel lines
21. perpendicular lines will have negative reciprocal slopes.
lets say u have a line..y = 2/3x + 4....the slope here is 2/3. To find the negative reciprocal, flip the slope and change the sign. So we have 2/3, flip the slope making it 3/2, change the sign making it -3/2. So ur perpendicular line will have a slope of -3/2.
so ur equations can be : y = 2/3x + 4 and y = -3/2x + 4
22. y = 2x + 5...slope here is 2. Parallel lines have the same slope.
y = mx + b
slope(m) = 2
(-3,1)...x = -3 and y = 1
sub and find b, the y int
1 = 2(-3) + b
1 = -6 + b
1 + 6 = b
7 = b
so this equation is : y = 2x + 7
23. 4x + 3y = (I cant see the last number..but we dont need it)
3y = -4x + ?
y = -4/3x + ?.....slope here is -4/3. A perpendicular line will have a negative reciprocal slope. So out perpendicular line will have a slope of 3/4.
y = mx + b
slope(m) = 3/4
(-8,-5)...x = -8 and y = -5
sub and find b, the y int
-5 = 3/4(-8) + b
-5 = - 6 + b
-5 + 6 = b
1 = b
so ur equation is : y = 3/4x + 1
Answer: C) 111.1111
<u>Step-by-step explanation:</u>
here are the place values to the right of the decimal.
decimal → tenths → hundredths → thousandths → ten thousandths
. 1 2 3 4
Round the number to 4 digits to the right of the decimal point.
