An incident ray strikes a boundary at a 72. 5-degree angle, resulting in an angle of refraction of 39. 6 degrees. The index of refraction of the first medium is 1. 3. What is medium 1? What is medium 2?.

Answer:

y + x + 90°=180°( sum of triangle=180°/Angeles of a triangle are supplementary)

y + x=180°-90°

there for x=y (Given by the theorem) OR two opposite angles of a triangle are equally

x+x= 90°/y+y=90° Note: Since y=x then sub y by x or y instead of the same equition (y=x)

x+x/y+y=90°

2x=90°

x=45°

or

x+y=90°

45+y=90°

y=90°-45°

y=45°

Step-by-step explanation:

4x - 6 = 2x + 4

2x = 10

x = 5

y = 2x + 4

y = 2(5) + 4

y = 14

Answer:$2931.45

Step-by-step explanation:

Answer: 6 inches

Step-by-step explanation:

18(1/3)=6

Answer:

AAS

Step-by-step explanation:

you have the 90 degree angles in both triangles, then the vertical angles, and you have the one side congruent as well.

Answer:

Step-by-step explanation:

Answer:

290.6 cm²

Step-by-step explanation:

2(4 · 12 + 4 · 12 + 4 · 4) = 224

224 + 66.6 = 290.6

Answer: -3/8

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

Answer:

m∠B= 60°

Step-by-step explanation:

The given triangle has all sides equal, so it's an equilateral triangle.

Equilateral triangle is always equal to 60°

Therefore, m∠B= 60°.

~

Answer:

a.

Step-by-step explanation:

It says 13+, so it’s 13 more than.
Then it’s 1/2 *, so it’s half of whatever’s next.

Next, it’s 6/2, so it’s a quotient because it’s divided.
Last, it says +6, so it’s 6 more than the last term.
Finally, 13 more than half of 6 more than the quotient of 6 and 2.

Advice: write out each step in words before you put it together.

Answer:

13 more than half of 6 more than the quotient of 6 and 2

Step-by-step explanation:

13 more than half of 6 more than the quotient of 6 and 2

Answer:

To find what percent 25 is of 90, you just have to find the answer to 25 ÷ 90.

25 ÷ 90 = 0.2777

About 27.7%

Answer:

27.7%

Step-by-step explanation:

to figure this out divide 25 by 90 to get 27.7%

Answer:

I think it would be 29% because it says that 41% of them like video games and math and that 29% of them do not like math but do like and the other two don't like math or video games

Step-by-step explanation:

Answer:

29%

Step-by-step explanation:

picked the box that was on the bottom left

Answer:

25%

Step-by-step explanation:

The formula to find percent increase is [tex]100 * \frac{final-initial}{|initial|}[/tex]. We're given the initial value as 120 and the final value as 150.

Therefore, the percent increase is 25%.

Answer:

Equation of line y-3 = 6x

This equation can be written as

[tex] \rm 6x - y + 13 = 0[/tex]

We are asked to find y-intercept of the line .

Using Slope Intercept Formula

[tex]\qquad \bf \longrightarrow \: y = mx \: + b \: - - - - - (i)[/tex]

Where

m is the slope of line

b is the y-Intercept

[tex]\qquad \sf \longrightarrow \rm 6x - y + 13 = 0 \\ \\ \\ \qquad \sf \longrightarrow \: y \: = 6x + 13 - - - - - - (ii)[/tex]

On comparing equation (i) and (ii) we obtain

[tex]\qquad \sf \longrightarrow \: b \: = 13[/tex]

Therefore,

The y-intercept of the line, given that the line has an equation of y - 13 = 6x is 13

The equation of a straight line is given as follow:

y = mx + c

Where

The following data were obtained from the question:

The y-intercept of the line having an equation of y - 13 = 6x can be obtained as follow:

y - 13 = 6x

Make y the subject

y = 6x + 13

Comparing y = 6x + 13 with y = mx + c, we have the intercept as 13

Thus, we can conclude that the y-intercept of the line is 13

Learn more about y-intercept:

https://brainly.com/question/29200484

#SPJ2

Answer:

3 miles

Step-by-step explanation:

sorry I can't explain

Answer: a of a is a

Step-by-step explanation: done!

ez 1.2

Solution for What is 150 percent of 0.8:

150 percent *0.8 =

(150:100)*0.8 =

(150*0.8):100 =

120:100 = 1.2

Answer:

angle V equals 103 degree.

Step-by-step explanation:

Based on the supplementary rule for a line is 180 degree.

We have to minus 147 from 180 to find the missing angle X that's inside the triangle.

180-147=33

For each triangle, it'll have a total of 180 degree when the angles are added together.

40+33+___=180

103

Answer:

(-8, 11/2)

Step-by-step explanation:

1. The midpoint between two points can be found by averaging the x-values of both points and the y-values of both points. For example, if you had the points (x, y) and (m, n), then the midpoint would be ([tex]\frac{x+m}{2}[/tex], [tex]\frac{y+n}{2}[/tex])

2. Calculate your midpoint. In this specific case your x-value would be (-7+-9)/2 and your y-value would be (8+3)/2, or (-8, 11/2)

Answer:

40,143.4 square inches

Step-by-step explanation:

c= 226.08

r= 113.04

area = Pi *r^2

Answer:

Answer:

i think y= 2 3(x+2)

​

Step-by-step explanation:

i hope, this helps, if not i'm sorrry

Answers:

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

Explanation:

The equator is the middle-most horizontal line. This is the thickest horizontal line of the group.

The prime meridian is the thickest vertical line shown at the center.

Start where those two lines cross. We call this 0 degrees North and 0 degrees East.

Then move 20 degrees west and 20 degrees north to arrive at point A.

Therefore, we can describe the absolute location of point A by saying "20° N, 20° W". Always list the north/south coordinate first (aka the latitude) before listing the east/west coordinate (longitude).

You probably have come across this type of notation before if you have worked with GPS.

------------------------

Point B is located at the absolute position of 40° N, 120° E

The 40 is from moving 2 ticks up from the center. Each tick is 20 degrees, so 2*20 = 40 degrees total north. The 120 is from 6 movements to the east, so 6*20 = 120 degrees east in total.

Like with point A, and the rest of the points as well, we always start at the center.

-------------------------

Again start at the intersection of the equator and the prime meridian.

We then move 1 tick down, to move 1*20 = 20 degrees south.

We also move 6 tickmarks west to move 6*20 = 120 degrees west.

Therefore, point C's absolute location is 20° S, 120° W

-------------------------

The same idea will play out to locate points D and E.

Answer:

126 minutes or 2 hours, 6 minutes

Step-by-step explanation:

D=TR

25 miles= r times 35 minutes

r = 25 miles divided by 35 minutes = 5/7 miles/minute

90 miles = (5/7 miles/minute) times t

t=90 miles * (7/5 minutes/mile) = 126 minutes or 2 hours, 6 minutes

Answer:

answer is 10 ^ 10

Step-by-step explanation:

7.296 × 10² / 9.6 × 10^ -9

= 0.76 × 10^11

= 7.6 × 10^10

Answer:

1 12:37:pm

Step-by-step explanation:

1)

let x = time that they will pass each other

distance travelled = speed * time

distance of train 1 = 70*x

distance of train 2= 90*x

distance travelled is equal to 900km

70x + 90x = 900

160x = 900

x=5.625

convert into hrs, minutes and seconds

5.625 hrs is equal to 5 hrs, 37 mins, and 30 seconds

add this time to 7:00 am to get the answer

Answer:

A.[tex]\:\:2\sqrt{3} [/tex]

Step-by-step explanation:

By geometric mean theorem.

[tex]x = \sqrt{2 \times 6} \\ \\ \implies \: x = \sqrt{12} \\ \\ \implies \: x = \sqrt{ {(2)}^{2} \times 3} \\ \\ \implies \: x = 2\sqrt{3} [/tex]