Answer:
The correct order of the steps is CEABD ⇒ B
Step-by-step explanation:
Let us arrange the figures
To construct a bisector of an angle
First: Draw angle AOB
First step is figure C
Second: Place the pin of the compass on point O and draw an arc intersects the two sides of the angle OA and OB at points D and E
Second step is figure E
Third: Place the compass on point D and draw an arc in the interior of the angle
Third step is figure A
Fourth: without change the open of the compass place its pin on point E and draw an arc which intersects the arc drawn from point D at point C
Fourth step is figure B
Fifth: Draw a line from point A to point C, this line AC is the bisector of angle AOB
Fifth step is figure D
The correct order of the steps is CEABD
The plant is currently 115 centimeters high
Answer:
Loss of $1.20
Step-by-step explanation:
The possible outcomes for this lottery and their probabilities are:
- a 1 in 100 chance of winning $450
- a 2 in 100 chance of winning $120
- a 4 in 100 chance of winning $30
- a 93 in 100 chance of losing $10
Therefore, the expected value of this lottery when buying one ticket is:

Therefore, you are expected to lose $1.2 per ticket.
Answer:
c
Step-by-step explanation:
Here's how this works:
Get everything together into one fraction by finding the LCD and doing the math. The LCD is sin(x) cos(x). Multiplying that in to each term looks like this:
![[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?](https://tex.z-dn.net/?f=%5Bsin%28x%29cos%28x%29%5D%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%2B%5Bsin%28x%29cos%28x%29%5D%5Cfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%20%3D%3F)
In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

Put everything over the common denominator now:

Since
, we will make that substitution:

We could separate that fraction into 2:
×
and 
Therefore, the simplification is
sec(x)csc(x)
Answer:
the answer that I got is 867 3/7
Step-by-step explanation:
the formula to find the volume of a sphere is 4/3 pi r³. just find the volume of both the spheres separately and minus them.