All categories

2 years ago

Use the Law of Sines to find the length of AC

Mathematics

1 answer:

ddd [48]2 years ago

3 0

<h3>Answer: 30.78181 meters</h3>

The value is approximate. Round that however you need to.

========================================================

Explanation:

lowercase a = side opposite angle uppercase A
lowercase b = side opposite angle uppercase B
b = AC

Using the law of sines, we can say:

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

45/sin(30) = b/sin(20)

b/sin(20) = 45/sin(30)

b = sin(20)*45/sin(30)

b = 30.78181 approximately

You'll need to make sure your calculator is in degree mode.

You might be interested in

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS

Amanda [17]

Answer:

Step-by-step explanation:

The y intercept is where x = 0.

X and y are both increasing by 5.

If you add five to the bottom row of the table we see that the next row of the table is x = 0 and y = 13.

This means that (0,13) is the y-intercept and 13 is your correct answer.

7 0

2 years ago

Does the point (2, 9) satisfy the inequality y ≤ 3 x + 1 ?

Naily [24]

A point is written using the form (X,Y), so the first number is the X and the second number is the Y.

Replace x and Y in the given equation with the given point:

y ≤ 3x+1

9 ≤ 3(2) +1

9 ≤ 6 +1

9 ≤ 7

9 is not less than or equal to 7, so the point (2,9) does not satisfy the inequality.

7 0

3 years ago

A population, P(t) (in millions) in year t, increases exponentially. Suppose P(9)=16 and P(18)=24. a) Find a formula for the pop

jenyasd209 [6]

Answer: $\frac{32}{3}\left ( 1.0460\right )^t$

Step-by-step explanation:

Given

Population changes exponentially

$P\left ( t\right )=ab^t$

$P\left ( 9\right )=16$ ------1

$P\left ( 9\right )=16=ab^8$

$P\left ( 18\right =24=ab^{18}$ -----2

divide 1 & 2 we get

$\frac{24}{16}=\frac{b^{18}}{b^9}$

$\frac{3}{2}=b^9$

Substitute $b^9$ in 1 we get

$a=\frac{32}{3}$

Thus $P\left ( t\right )=\frac{32}{3}\left ( 1.0460\right )^t$

8 0

3 years ago

Read 2 more answers

A right cylinder has a radius of 3 and a height of 12. What is its surface area?

shepuryov [24]

Answer:

Surface Area = 283

Step-by-step explanation:

Radius = 3

Height = 12

Formula for suface area is SA= 2πrh+2πr^2

let "r" be for radius

let "h" be for height

SA=2*π*3*12+2*π*3^2

SA=282.74

round to the nearest ones spot and that will make the surface area = 283

8 0

3 years ago

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.

Serggg [28]

For this case we have a function of the form:
$y = A * (b) ^ x
$
Where,
A: initial amount
b: decrease rate
x: time in days
Substituting values we have:
$y = 40 * (0.85) ^ x
$
Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
Answer:
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

7 0

3 years ago