explain step by step how to solve. please point out any similarities in the steps used for each question

Mathematics

1 answer:

Mamont248 [21]4 years ago

6 0

#1
m∠A=180 - 115 - 24 = 41°

By the law of sines:

b/sinB = a/sinA ⇒
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13

c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29

#2
m∠C=180 - 119 - 27 = 34°

By the law of sines:

b/sinB = a/sinA ⇒
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25

c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16

#3
m∠C=180 - 57 - 37 = 86°

By the law of sines:

c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1

You might be interested in

James’ college charges tuition based only on the number of credits a student takes. James paid $1218 to take 12 credits in the f

Zielflug [23.3K]

Answer:

16 credits

Step-by-step explanation:

Divide $1218 by 12 to find out how much 1 credit costs. It's $101.50

Because he paid $1624 total for spring, you'll divide that by $101.50 because it's per credit.

1624/101.5 = 16 credits.

hope this is good enough

8 0

4 years ago

Read 2 more answers

How many ways are there to paint a set of 27 27 elements such that 7 7 are painted white, 6 6 are painted old gold, 2 2 are pain

Alexeev081 [22]

Answer:

There are 2,480,721,300,000,00 ways to paint this set.

Step-by-step explanation:

We have that:

A set of 27 elements, of which:

7 are painted white

6 are painted old gold

2 are painted blue

7 are painted yellow

5 are painted green

How many ways are there to paint?

A single change in the set, for example, element 0 exchanged with element 1, means we have a new way. So we use the permutations formula to solve this problem:

Permutations

Permutations of a set of x elements divided into sets of size w,y,z.

The number of ways is:

$P{x}_{w,y,z} = \frac{x!}{w!y!z!}$