Answer:
1/3
Step-by-step explanation:
Probability of an Event = Number of Favorable Outcomes/Total Number of Possible Outcomes
Answer:
None of the above
Step-by-step explanation:
A proportional relationship is where one ratio is the same as another ratio. For example, the ratio 1:2 is the same as 2:4. If you go ahead and divide both of these ratios, you'll get the same relationship 1:2.
Answer:
1.9
Step-by-step explanation:
Use triginometry to find the side length. So cosθ=
. Rearrange the equation so it looks like 2cosθ=?. We are given θ (20 degrees) so 2cos(20degrees)=?.
Answer:
The sum of a and b is 12.
Step-by-step explanation:
Try drawing this figure. ABCD would actually be a triangle, rather than the common quadrilateral you would expect - considering there are 4 points plotted. Therefore, we would have to find the distance between respective points ( 0, 1 ) and ( 2, 5 ) / ( 2, 5 ) and ( 7, 0 ) / ( 0, 1 ) and ( 7, 0 ). Let's apply the distance formula and calculate the distance between each point, therefore determining the perimeter.
Distance between points ( 0, 1 ) and ( 2, 5 )
= 
= 
= 
=
= 
Distance between points ( 2, 5 ) and ( 7, 0 )
= 
= 
= 
=
= 
And you can calculate the distance between points ( 0, 1 ) and ( 7, 0 ) to be exactly
as well. Therefore, you can say that the perimeter of this triangle is
=
. Note that this is similar to the form we are given. Thus, a = 10, and b = 2 - making it's sum 10 + 2 = 12.
Answer:
use pythagorean's theorem; x=6
Step-by-step explanation:
a^2 + b^2 = c^2
a=length; b(x)=height; c= hypotenuse (longest side)
8^2 + b^2 = 10^2
64 + b^2 = 100 (subtract 64 from each side)
b^2= 36
6 x 6 = 36 so b=6
x=6