Answer:
30
Step-by-step explanation:
For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...
a·b = (xa)(xb) + (ya)(yb)
Substituting the given information, you have ...
a·b = 5·4 + 2·5 = 20 + 10
a·b = 30
_____
Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.
Answer:

Step-by-step explanation:
a hemisphere is half a sphere.
And if the formula for the volume of a sphere is:

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.
Since the radius is:

substituting this into the formula for volume:

this is the volume of the total sphere, thus the volume of a hemisphere is:

rounding to the nearest tenth:

The complete question in the attached figure
we know that
length side AB=8 units
length side DE=4 units
[ABC]=[DEF]*[scale factor]
then
[scale factor ]=[ABC]/[DEF]---------> 8/4--------> 2
the answer is
the scale factor for a dilation image of DEF to obtain ABC is 2
The total cost would be the tax plus the cost of the meal. In order to find the tax you can set up a proportion: 8/100=x/34.5. Then you can cross multiply: (100•x)=(8•34.5). Then we have 100x=276. Divide both sides by 100 and we have x=2.76. This added to the 34.50 is equal to 37.26. Hope this helps!