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Alisiya [41]
3 years ago
6

If two parallel planes are cut by a third plane, then the lines of intersection are _________. parallel perpendicular skew colli

near
Mathematics
2 answers:
rodikova [14]3 years ago
8 0
<span>If two parallel planes are cut by a third plane, then the lines of intersection are </span>Parallel.
8090 [49]3 years ago
3 0

Answer:

the lines would be parallel

Step-by-step explanation:

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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
Nataly [62]

Answer:

The distance between the walls is 70 m.

Step-by-step explanation:

Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is

BE ⊥ ED and CD ⊥ ED

AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m

AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.

The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°

The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°

As shown is figure attached below.

WE have to find the distance between the walls that is Length of ED

Length of ED = EA + AD

Consider the Δ AEB,

Using trigonometric ratio,

\tan\theta=\frac{perpendicular}{base}

Here \theta=45^{\circ} , perpendicular = 30 m  and base we can find.

thus,

\tan 45^{\circ}=\frac{30}{EA}

We know \tan 45^{\circ}=1

thus, EA =  30 m

Consider the Δ AEB,

Using trigonometric ratio,

\cos\theta=\frac{base}{hypotenuse}

Here \theta=60^{\circ} , hypotenuse = 80 m  and base we can find.

thus, \cos 60^{\circ}=\frac{base}{80}

We know, \cos 60^{\circ}=\frac{1}{2}

thus, Base = 40 m

AD = 40 m

Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m

4 0
3 years ago
Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the sam
Liula [17]

Answer: 3 miles per hour

<u>Step-by-step explanation:</u>

Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.

Let "r" represent the rate they are rowing

Let "c" represent the current

                            time          rate      distance        <u>EQUATION</u>

Downstream:     4 hours     r + c       40 miles         4(r + c) = 40

Upstream:         10 hours    r - c        40 miles         10(r - c) = 40


Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40  →   5(4r + 4c = 40)  →   20r + 20c = 200

  Up: 10r - 10c = 40  → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u>  -80</u>

                                                                                40c = 120

                                                                              <u> ÷40  </u>  <u>÷40 </u>

                                                                                    c =   3

4 0
2 years ago
What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
dimaraw [331]

Answer:

slope = -1 or -x

Step-by-step explanation:

Do y2-y1/x2-x1

Plug in

-1 - 4/ 2 - -3 = -5/5

(Simplify)

-1 so the slope is

-1 or -x

If you want to find the equation use one of the points you have.

4 = -1(-3) + b

4 = 3 + b (subtract 3 on each side)

1 = b

y = -1x + 1 is the equation

6 0
3 years ago
Read 2 more answers
What is the value of x in the equation x – y = 30, when y = 15? its not 45 tho
Charra [1.4K]
-15 would be your answer a negative plus a negative the signs together would turn negative 15 to positive
7 0
3 years ago
Read 2 more answers
Which is a correct first step in solving 5 – 2x &lt; 8x – 3?
lisabon 2012 [21]

Answer:

C. 5 < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3

  +2x    +2x

5 < 10x - 3

:) ur welcome

5 0
2 years ago
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