Answer:
Ellipse C
Circle E
Sphere B
Great Circle D
Triangle A
Step-by-step explanation:
Cross sections are slices through a 3d figure to create a 2d shape. A cone creates a circle and triangle. A sphere creates a great circle. A cylinder creates an ellipse. Rotating a semi circle around an axis creates a sphere.
95% of a normal distribution lies within ±1.96 standard deviations of the mean. That is, ±3 years represents ±1.96 standard deviations, so ...
.. the standard deviation is 3/1.96 = 1.53 years.
First, I would distribute the 2 out to the (x+4).
2x+8.
Next, use the foil method to multiply together 2x+8 and (x+3).
2x^2 +14x+24.
Do the same process for the other side.
3(x+2)= 3x+6
(3x+6)(x-1)= 3x^2+3x-6
Set the remaining products of each side of the equation equal to each other.
2x^2 +14x+24=3x^2+3x-6.
Now you must cancel out one side to make the equation equal to zero. Do this by doing the inverse operation on one side of the equation (each value with their like term). I am going to subtract the left side values from the right:
This means:
3x^2 minus 2x^2 equals 1x^2 (or just x^2).
3x minus 14x equals -11x
-6 minus 24 equals -30
The equation should now look like this:
0=x^2-11x-30
Reverse the order to get zero on the right side:
x^2-11x-30=0
Hope this helps! Sorry if I made any careless mistakes (^^;)
Answer:
; 
; 
Step-by-step explanation:
Given
Required
Arrange the angles from smallest to largest
First, we need to determine the value of x.
Since, it is a triangle:
Substitute values for A, B and C
Collect Like Terms
Solve for x
Solve for A, B and C
From Smallest to Largest, we have:
; ;
He would pay 38.75 on the 50 pound package. Hope it helps!
