Answer:
First to find AB we use cosine
cos ∅ = Adjacent / hypotenuse
AB is the adjacent
BC is the hypotenuse
cos ∅ = AB/AC
cos 70 = AB / 8
AB = 8 cos 70°
AB = 2.736
AB = 2.7cm to one decimal place
Hope this helps
Answer:
{∅, {a}, {b}, {a,b}}
Step-by-step explanation:
The value of power of a set is generalized by using the formula,
Power of a set (P) = 2^n where n is the number of element in the set.
Given two distinct elements a and b say;
A = {a,b}
n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.
P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;
{∅, {a}, {b}, {a,b}} which gives 4 elements in total.
Note that empty set ∅ is always part of the subset of any given set
Answer:
B, C, E
Step-by-step explanation:
you need to find lines whose slope is the negative reciprocal of the slope from the line you are solving for. in this case, all lines with the slope -1/2 are Perpendicular to a line with the slope of 2
Answer:
Average speed of go cart is 217.07 meters per minute.
Step-by-step explanation:
We are given the following in the question:
Length of straightway racetrack = 100 m
Diameter of semicircular end = 40 m
Radius =

Perimeter of racetrack =
Perimeter of semicircle + 2(Length of straightway) + Perimeter of semicircle

Speed =

Thus, average speed of go cart is 217.07 meters per minute.
Answer:
1.6
Step-by-step explanation
You can use the angles given to figure out the degree of the angles given and then with that you set up your equation as v divided by Sin(16) is equal to 5.8 divided by sin(87) and cross multiply.
After you cross multiply you should get approximately 1.5987 is equal to v times sin(87)
you then fin out the approximation of sin(87) which should be around 0.9986 and divide both sides by 0.9986 so v is alone and your answer comes out to be v = 1.6