Please help will give brainliest

Select the correct answer from each drop-down menu. Right triangle ABC is represented with the right angle at vertex B. Base BC

Svetradugi [14.3K]

By using trigonometric relations, we will see that:

AC = 15.6 in

AB = 8.4 in.

<h3>How to get the measures of the other two sides of the right triangle?</h3>

Here we have the right triangle where:

B = 90°

C = 40°

BC = 10 in.

Notice that is the adjacent cathetus to the angle C, then we can use the two relations:

sin(a) = (adjacent cathetus)/(hypotenuse).
tan(a) = (opposite cathetus)/(adjacent cathetus).

Where:

hypotenuse = AC
opposite cathetus = AB.

Then we will have:

sin(40°) = 10in/AC.

AC = 10in/sin(40°) = 15.6 in

tan(40°) = AB/10in

tan(40°)*10in = AB = 8.4 in.

So we can conclude that for the given right triangle we have:

AC = 15.6 in

AB = 8.4 in.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

6 0

1 year ago

GEOMETRY)

crimeas [40]

By the inscribed angle theorem, arc PA measures 62 degrees.

Angles inscribed in the same arc are congruent, so angle PRA measures 31 degrees.

Diameters form semicircles, and the arc of a semicircle measures 180 degrees, so arc PAR measures 180 degrees.

Subtracting arc PA from arc PAR, we get arc AR measures 118 degrees.

8 0

1 year ago

Sebastian wants to create a right triangle with side lengths 14 inches, 48 inches, and 5

allochka39001 [22]

Answer: Choice A

$\text{Yes, because } 14^2+48^2 \text{ is equal to } 50^2$

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

Explanation:

The pythagorean theorem is $a^2+b^2 = c^2$

The value of c is always the longest side, aka hypotenuse.

The order of 'a' and b doesn't matter.

So a = 14, b = 48, c = 50

We have $a^2+b^2 = 14^2+48^2 = 196+2304 = 2500$

We also have $c^2 = 50^2 = 2500$

Both sides result in 2500 which proves that $14^2+48^2 = 50^2$ is a true statement. Therefore, we do have a right triangle.

7 0

2 years ago

The table above shows the number of hours that Robin worked each week for 5 weeks. What would be the number of hours Robin worke

ELEN [110]

Robin would have worked a total of 10 days!!! Hope this helps :) :) :)

8 0

3 years ago

Flights arriving to DTW might be national or international. Assume that one out of every five national flights is followed by an

Dvinal [7]

Answer:

1/15

Step-by-step explanation:

Given

1 out of every 5 national flight is followed by an international flight.

p = 1/5

q = 1 - p

q = 1 - 1/5

q = 4/5

π0 = 0.25

We want to determine

p:the fraction of international flights that are followed by a national flight.

Let X = 0

If the nth flight is national

Let X = 1

if the flight is international

This gives rise to a two state Markov chain with transition probability as follows

P = (4/5. 1/5. p. 1-p)

The long run proportion are the below solution gotten from the Markov chain above

π0 = 4/5π0 + pπ1 ----- 1

π1 = 1/5π0 + (1 - p)π1---- 2

π0 + π1 = 1 -----------. 3

Solving the above equations,

We have

Substitute 0.25 for π0 in (3)

0.25 + π1 = 1

π1 = 1 - 0.25

π1 = 0.75

Solving 1 and 3

Substitute 0.75 for π1 and 0.25 for π0 in (1)

0.25 = 4/5 * 0.25 + 0.75p

0.25 = 0.2 + 0.75p

0.75p = 0.25 - 0.2

0.75p = 0.05

p = 0.05/0.75

P = 1/15 or 0.0667(6.67%)

So, one out of every 15 international flights is followed by a national flight (or 6.66 percent)

3 0

3 years ago