Someone help me understand how to do this

Mathematics

2 answers:

makkiz [27]2 years ago

5 0

Answer:

6.7 cm

Step-by-step explanation:

Wewaii [24]2 years ago

4 0

Answer:

6.7 cm

Step-by-step explanation:

To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...

B = 180° -82° -55° = 43°

Now, you put the numbers you know into the formula given and solve for b.

sin(A)/a = sin(B)/b

sin(55°)/(8 cm) = sin(43°)/b

Cross multiplying gives ...

b·sin(55°) = (8 cm)·sin(43°)

and dividing by the coefficient of b gives you ...

b = (8 cm)·sin(43°)/sin(55°) ≈ 6.7 cm

You might be interested in

How to solve it to put 65% of his Christmas money in the bank.If he had $70 left after he put the money in the bank. How much mo

kow [346]

Answer:

$200

Step-by-step explanation:

Let X be the amount of Christmas money he had at the beginning.

He put 65% of X in the bank. This is 0.65x

He has $70 left which is equal to 0.35x

We need to write an equation to find the value of x.

70 = 0.35x

Divide by 0.35 to find the value of x.

70/0.35 = 0.35x/0.35

200 = x

He received $200 for Christmas.

8 0

2 years ago

A share of ABC stock was worth $70 in 2011 and only

Bezzdna [24]

Answer:

5v + 32y = 350

Step-by-step explanation:

Let, the year counting starts in 2011 and represented by y.

So, the share of ABC stock value was $70 at y = 0. And in the year 2016 i.e. y = (2016 - 2011) = 5, the share worth $38.

If there is a linear relationship between the number of years since 2011 i.e. y and the value of the share of ABC stock i.e. v, then we can write the equation of this situation as

$\frac{v - 70}{70 - 38} = \frac{y - 0}{0 - 5}$