9514 1404 393
Answer:
260π in²
Step-by-step explanation:
The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...
l² = 10² +24² = 100 +576 = 676
l = √676 = 26
The given formula tells you the lateral area is ...
A = πrl = π(10 in)(26 in)
A = 260π in² . . . . . cone's lateral area
_____
<em>Additional comment</em>
The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.
Answer:
2375^-3
Step-by-step explanation:
Move the decimal place from 2.375 to the back of the number so it should look like this, 2375.
Than move the decimal place back to its original spot and count the amount of spaces you move. Remember, if you move forward, your exponent should be negative. For example, if the problem is 6.321, you would move the decimal place to the back like this, 6321. And then move it back to where it originally was, 6.321, the amount of spaces I moved was 3 spaces and I moved forward so It would be 6.321^-3
Cylinder area=height times area of base (area of base=area of circle)
height =1.8
radius=6.1
area of circle=pi times r^2
area of circle=pi times 6.1^2=37.21π
times height
1.8 times 37.21π=66.978π
volume=66.978π ft^3
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire song album = y dollars
Person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
Person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second we get
x = 0.99 dollars
Putting the value of x in the first equation we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars
Answer:
y = -(2/3)x + 3
C
Step-by-step explanation:
The slope of the equation that was given is - 2/3
The slope in a slope intercept equation is the number in front of the x when the value of the number in front of the y = 1 and x and y are on opposite sides of the equal sign. Let's translate that.
The original equation is y = -(2/3)x + 5/3
- y and x have to be on opposite sides of the equal sign [They are]
- The slope is the number in front of the x. That's (-2/3). That makes A incorrect.
Now you need to use the given point
The point is (-3 , 5) Put this into the equation that you have so far
y = (-2/3)x + b
y = 5
x = -3
5 = (-2/3)(-3/1) + b Substitute in the givens
5 = (-2 * -3)/3 + b Multiply -2 * - 3 = 6
5 = 6/3 + b Divide the 6 by 3
5 = 2 + b Divide
5 - 2 = b Subtract 2 from both sides
3 = b Switch sides
b = 3
Answer y = (-2/3)x + 3 or C