Distributive
2(3+4+8+7)
(2x3)+(2x4)+(2x8)+(2x7
6+8+16+14
=44
Non-Distributive
2(3+4+8+7)
Add all the number in parenthesis
3+4=7+8=15+7=22
2(22)
=44
In the ones place there has to be a zero or a five because five times any number the ones digit is zero.
Answer: Choice D
s^2 = 9^2 + 10^2 - 2(9)(10)cos(100)
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Explanation:
Consider the pythaorean theorem
a^2 + b^2 = c^2
which is the same as saying
c^2 = a^2 + b^2
If we tack on "-2ab*cos(C)", then we end up with
c^2 = a^2 + b^2 - 2ab*cos(C)
which is one form of the law of cosines. The side c is opposite angle C, and the two are on opposite sides of the equation. The 'a's and 'b's are on the right side with the angle C.
Note if C = 90 degrees, then cos(C) = cos(90) = 0 which means the whole "-2ab*cos(C)" term goes to 0 and we'd be left with the pythagorean theorem again.
In this case, we replace c with s, replace 'a' with 9, replace b with 10, and C with 100.
Answer:
62.3 miles per hours.
Step-by-step explanation:
The given formula is
Police use this formula to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road.
It is given that car's skid marks is 194 feet at the scene of an accident.
We need to find the speed of car at the time of accident.
Substitute L=194 in the above formula.
Therefore, the speed of car is 62.3 miles per hours.
Use formula : angle/360 x pi x radius squared
= 60/360 x pi x 25
= 13 .08996..
= 13 to nearest tenth
