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2 years ago

Solve the triangle.

1 answer:

3 0

Using the sine law of triangles to solve for angle C:

b / sin B = c / sin C

C = arcsin (c * sin B / b)
C = 30.7°

Since interior angles of a triangle always add up to 180°, we can use this to solve for angle A:

angle A = 180° - 73° - 30.7°
angle A = 76.3°

Having solved for angle A, we can solve for side a using the sine law.

a / sin A = b / sin B

a = b * sin A / sin B
a = 15.2

Therefore, the correct answer is B.

You might be interested in

What is the volume of the cone? use 3.14

Svet_ta [14]

To find the volume of the cone use the formula:

3.14r^2 h/3

Final Answer:

20.93 cubic units

8 0

3 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in,and a standard deviation given by

Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with

$\mu$ = 62.5 in

$\sigma$ = 2.2 in

the normal probability density function is given by

$f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}$ , then

(a) $P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx$ = 0.5899

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking $P(\bar{X} < 63)$ where n = 37. $\bar{X}$ is normally distributed with mean 62.5 in and standard deviation $2.2/\sqrt{37}$ . So, the probability density function is given by

$g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}$ , and

$P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx$ = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0

3 years ago

10x+9-40. How you do this

emmainna [20.7K]

Answer:

10x−31

Step-by-step explanation:

Let's simplify step-by-step.

10x+9−40

=10x+9+−40

Combine Like Terms:

=10x+9+−40

=(10x)+(9+−40)

=10x−31

Hope this helps and can you please give me brainliest ;-)

3 0

2 years ago

Gloria has 2 5/8 ounces of perfume. if she uses one third of it, how much will she have left?

BARSIC [14]

If the answer can be left in a fraction than this is the solution: 2×5/8=5/4
5/4-1/3=11/12
if you mean the answer must be left in a whole number than.. I don't really know how to do it

4 0

2 years ago

1. Triangle STU with vertices S(-4, 2) T(5, -1),

Alexus [3.1K]

Answer:

S’ (-5,-3)

T’ (4,-6)

U’ (-3,-7)

Step-by-step explanation:

Basically, we want to apply the given transformation rule of the axes to get the coordinates of the images

The rule is that we subtract 1 from the x-coordinates and also subtract 5 from the y-coordinates

Thus, we proceed as follows;

S’ = (-4-1, 2-5) = (-5,-3)

T’ = (5-1, -1-5) = (4,-6)

U’ = (-2-1,-2-5) = (-3,-7)

4 0

2 years ago