All categories

3 years ago

Use the law of sines to solve the triangle B=31, C=104, a=3(5/8)m

Mathematics

1 answer:

Afina-wow [57]3 years ago

4 0

SinA / a = SinB / b = SinC / c

if ∠C = 104 + ∠B = 31, therefore ∠A = 45 (A + B + C = 180)

Sin45 / 3 5/8 = Sin31 / b (multiply both sides by b)
bSin45 / 3 5/8 = Sin31 (multiply both sides by 3 5/8)
bSin45 = 3 5/8Sin31 (divide by Sin45)
b = 3.625Sin31 / sin45
b = 2.64

Sin45 / 3 5/8 = Sin104 / c (multiply by c)
cSin45 / 3 5/8 = Sin104 (multiply both sides by 3 5/8)
cSin45 = 3 5/8Sin104 (divide by Sin45)
c = 3.62Sin104 / Sin45
c = 4.97

A = 45
b = 2.64
c = 4.97

You might be interested in

Which sequence of transformations could have been used to transform triangle ABC to produce triangle A"B"C"?

Andreyy89

The sequence of transformations that could have been used to transform triangle ABC to produce triangle A"B"C" is B.Triangle ABC was reflected across the y-axis and then translated 7 units down.

6 0

4 years ago

If its £18.75 per square metre of clear plastic how much will it cost to cover 2x notice boards 1 metre high and 1 metre wide ?

xenn [34]

Just double 18.75 because the total area needed to cover is 2 square meters

3 0

3 years ago

Given a+b=7 and a–b=3, find: 2^a·2^b

atroni [7]

Answer:

128

Step-by-step explanation:

thank me later

3 0

3 years ago

A rectangle has an area of 24 square units and a side length of 2 3/4 units. Find the other side length of the rectangle

Studentka2010 [4]

Length is 12, Width 2, and Area is 24

4 0

4 years ago

Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she se

IrinaVladis [17]

Mary McDonald sold 11 small mugs and 10 large mugs.

Step-by-step explanation:

Given,

Total cost of sold cups = $85

Cost of one small cup = $2.50

Cost of one large cup = $5.75

Cups at the start of day = 215

Cups at the end of day = 194

Cups sold = Cups at the start of day - Cups at end of day

Cups sold = 215 - 194 = 21

Let,

x represents the number of small cups.

y represents the number of large cups.

According to given statement;

x+y=21 Eqn 1

2.50x+5.75y=85 Eqn 2

Multiplying Eqn 1 by 2.50

$2.50(x+y=21)\\2.50x+2.50y=52.50\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(2.50x+5.75y)-(2.50x+2.50y)=85-52.50\\2.50x+5.75y-2.50x-2.50y=32.50\\3.25y=32.50$

Dividing both sides by 3.25

$\frac{3.25y}{3.25}=\frac{32.50}{3.25}\\y=10$

Putting in Eqn 1

$x+10=21\\x=21-10\\x=11$

Mary McDonald sold 11 small mugs and 10 large mugs.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

7 0

3 years ago