Answer:
Step-by-step explanation:
Since A = 50 degrees, c = 10 ,and since it is a right Triangle, then C = 90 degrees and so B = 180 - (90 +50)......... sum of angles of a triangle
B = 180 - 140
B = 40 degrees
Using sine rule : a/sin A = b / sin B = c / sin C
To calculate a, then we use a/ sin A = c / sin C , since we know c and C
i.e a/ sin 50 = 10 / sin 90
recall that sin 90 = 1
then we have a / sin 50 = 10 / 1
cross multiply
a = 10 x sin 50
a = 10 x 0.76604
a = 7.6604
We will calculate b following the same procedure
b/ sin B = c / sin C
b/ sin 40 = 10/ sin 90
b/ sin 40 = 10/ 1
b = 10 x sin 40
b = 10 x 0.64279
b = 6.4279
Therefore a ≈7.6604 , b ≈ 6.4279
Answer:
1 1/2 I think either that are the other way around
Answer:
5 cups of flour.
Step-by-step explanation:
I know the wording of the problem may be confusing at first, but if you look at it a little bit, it's just multiplication and division.
To start,
12 biscuits require 2 cups of flour,
meaning that 6 biscuits (half of the original) only require 1 cup.
<u>(12/2 = 6)</u>
Next,
We need to find how much flour is in 30 biscuits.
We know that 1 cup is in 6 biscuits, and if you were to find how much was in 30 biscuits, you would just need to divide 30 by 6.
<u>(30/6 = 5)</u>
5 cups of flour would be your answer.
To put it mathematically,
(12/2 = 6), (30/6 = 5)
Alright so I'm coming up with this on the fly; you have the first six letters (a,b,c,d,e,f) and 0-9 and your ten numbers. calculate the amount of possible combinations for the letters by simply writing them down.
ab, ac, ad, ae, a f- five
bc, bd , be, bf- four
cd, ce, cf- three
de, df- two
ef,- one.
adding these all together gets a total of 15 for the letters. now the numbers
01, 02, 03, 04, 05, 06, 07, 08, 09- nine
12, 13, 14, 15, 16, 17, 18, 19- eight
23, 24, 25, 26, 27, 28, 29- seven
34, 35, 36, 37, 38, 39- six
45, 46, 47, 48, 49- five
56, 57, 58, 59- four
67, 68, 69- three
78, 79- two
89- one
added together with a total of 45 combinations.
alright so, 45 different number combinations and 15 letter combinations. multiplying 15 by 45 should tell you the total possible combinations for a two letter and two number serial-number
