Answer:
D
Step-by-step explanation:
Using the Cosine rule to find AC
AC² = BC² + AB² - (2 × BC × AB × cosB )
= 18² + 12² - ( 2 × 18 × 12 × cos75° )
= 324 + 144 - 432cos75°
= 468 - 111.8
= 356.2 ( take the square root of both sides )
AC =
≈ 18.9
-----------------------------------------
Using the Sine rule to find ∠ A
=
( cross- multiply )
18.9 sinA = 18 sin75° ( divide both sides by 18.9 )
sinA =
, then
∠ A =
(
) ≈ 66.9°
Answer:
.
Step-by-step explanation:
How many unique combinations are possible in total?
This question takes 5 objects randomly out of a bag of 50 objects. The order in which these objects come out doesn't matter. Therefore, the number of unique choices possible will the sames as the combination
.
How many out of that 2,118,760 combinations will satisfy the request?
Number of ways to choose 2 red candies out a batch of 28:
.
Number of ways to choose 3 green candies out of a batch of 8:
.
However, choosing two red candies out of a batch of 28 red candies does not influence the number of ways of choosing three green candies out of a batch of 8 green candies. The number of ways of choosing 2 red candies and 3 green candies will be the product of the two numbers of ways of choosing
.
The probability that the 5 candies chosen out of the 50 contain 2 red and 3 green will be:
.
Answer:
option A
Step-by-step explanation:
6:1/5 can also be written as 6/1÷5 which equals to 6÷5
Answer:
2/5 is less than 2/3
2/5 < 2/3
Step-by-step explanation:
2/5 x 3=6/15 is small
2/3x5=1<u>0/15 is big</u>
Answer:
2000 = 600 + 2/5x ; 3500 ft
How To Solve:
2000 = 600 + 2/5x
Combine multiplied terms into a single fraction
2000 = 600 + 2/5x
2000 = 600 + 2x/5
Subtract 600 from both sides of the equation
2000 = 600 + 2x/5
2000 - 600 = 600 + 2x/5 - 600
Simplify
Subtract the numbers
1400 = 600 + 2x/5 − 600
Subtract the numbers
1400 = 2x/5
Solution
X = 3500