Solve the triangle.A = 33°, a = 19, b = 14
Select one:
a. B = 23.7°, C = 143.3°, c ≈ 23.3
b. B = 23.7°, C = 123.3°, c ≈ 17.5
c. Cannot be solved
d. B = 23.7°, C = 123.3°, c ≈ 29.2

Answers

Answer 1

Answer: Using the sine law to find the value of angle B:

a / sin A = b / sin B
19 / sin 33 = 14 / sin B

B = arcsin (14 * sin 33 / 19 )
B = 23.66° = 23.7°

Since the sum of all interior angles of a triangle is 180°, we can solve for angle C like so:

C = 180° - 23.7° - 33°
C = 123.3°

Using sine law to solve for side c:

a / sin A = c / sin C
c = (a*sin C)/sin A
c = 29.157 = 29.2

Therefore, among the choices, the correct answer is D.

Answer 2

Answer:

Took the test

B=23.7 degrees

C=123.3 degrees

c=29.2

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Which equation represents a proportional relationship that has a constant of proportionality equal to 1/5?y = x - 1/5
y = x + 1/5
y = 1/5x
y = 5x

Answers

Answer:

y = 1/5x

Step-by-step explanation:

quickly enter 0 1 2 3 4 5 for x

see what you get for y

for y = 1/5x you get the SAME number whenever you do y divided by x

x y

0 0

5 1

10 2

15 3

20 4

The equation that represents a proportional relationship with a constant of proportionality equal to 1/5 is:

y = 1/5x

A proportional relationship between two variables x and y can be written as:

y = kx

Where k is the constant of proportionality.

If k = 1/5, then the equation becomes:

y = (1/5)x

Which is the same as:

y = 1/5x

So out of the given options, y = 1/5x is the only equation that represents a proportional relationship with a constant of proportionality equal to 1/5.

The other equations have different constants of proportionality:

- y = x - 1/5 -> k = 1

- y = x + 1/5 -> k = 1

- y = 5x -> k = 5

Therefore, y = 1/5x is the correct equation with a constant of proportionality equal to 1/5.

The point P(x, y) is on the terminal ray of angle theta. If theta is between pi radians and 3pi/2 radians and csc theta= -5/2, what are the coordinates of P(x, y)?A. P(-sqr 21, -2)
B. P(sqr 21, -2)
C. P(-2, sqr 21)
D. P(-2, -sqr 21)

Answers

csc(x) = 1/sin (x) = - 5/2 ⇒ sin (x) = - 2/5

sin(x) = opposite side / hypotenuse

If the opposite side measures 2 ---- [this is the y-component, except for the sign]

hypotenuse measures 5, and the adyacent side is √(5^2 - 2^2) = √(25 - 4) = √21 ---- [this is the x-component, except for the sign].

To assign the sign, we know that the quadrant between pi radians and 3Pi/2 radians is the third quadrant, where both the x-component and the y-component are negative.

Then the point is (-√21,-2). This is option A.

Answer:

(-√21,-2). option A.

Step-by-step explanation:

What is the sum of r + s when r = –17.6 and s = 12.2? A. –29.8 B. –5.4 C. 5.4 D. 29.8

Answers

c. -5.4 -17.6+12.2= -5.4 because -17.6 goes first in the calculator but also its a negative

A number n increased by nineteen

Answers

$n+19$ Because to increase is to add

An object is traveling around a circle with a radius of 10 cm. If in 20 seconds a central angle of 1/3 radian is swept out, what is the linear speed of the object?

Answers

The linear speed of the object is $(1)/(6)$

The Radius, r = 10 cm
The Fraction of Radius swept out = $(1)/(3)$
The distance = $10 / (1)/(3)$
The distance covered = $(10)/(3)$

The linear speed :

Radius swept out ÷ time taken
$(10)/(3) * (1)/(20) = (1)/(6)$

The linear speed of the object is $(1)/(6)$

Learn more : brainly.com/question/15154430?referrer=searchResults

Firstly, we will find the distance covered by the object in the 20 seconds:

$\text{angle}(in~radians)=\frac{\text{arch}}{\text{radius}}\Longrightarrow (1)/(3)=(d)/(10~cm)\iff d=(10)/(3)~cm$

We must know that $v=(d)/(\Delta t)$ . So:

$v=(d)/(\Delta t)\Longrightarrow v=((10)/(3)~cm)/(20~s)\iff \boxed{v=(1)/(6)~cm/s}$

Use the distributive property to write an expression that is equivalent to 8(a+4)