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Oxana [17]
2 years ago
7

What are the coordinates of the shadow cast on the xy plane by a small object placed at the point (10,7,20) assuming that the su

n's rays are parallel to the vector (5,3,-2)?
Mathematics
1 answer:
BigorU [14]2 years ago
3 0
We are given with two coordinates
(10, 7, 20) and
(5, 3, -2)
Which can be used to create a linear equation represented by vectors
<x, y, z> = <x0, y0, z0> + t<mx, my, mz>
We can get the slope by
<mx, my, mz> = <10, 7, 20> - <5, 3, -2> = <5, 4, 22>

 <x, y, z> = <x0, y0, z0> + t<5, 4, 22>
At z = 0, and using the coordinates of either of the two points, the coordinates o the shadow of the point can be determined.
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Bowling alley A charges to rent shoes and per game. Bowling alley B charges to re shoes and per game. a. For what numbers of gam
matrenka [14]

The computation shows that the price of each game is $2.5 and the price of shoe rental will be $3.

<h3>How to illustrate the information?</h3>

Fron the information given, the equation will be:

s + 4g = 13

s + 8g = 23

4g = 10

g = 2.5

Therefore, the price of each game is $2.5

The price of shoe rental will be:

s + 4g = 13

s + 4(2.50) = 13

s = 13 - 10.

s = 3

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brainly.com/question/4658834

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4 0
1 year ago
What is the surface area of the box if it is scaled up by a factor of 10? Boxes Dimensions 7in Height 6in Length 2in Width
VladimirAG [237]

Answer:

13,600 in^{2}

Step-by-step explanation:

(h = 7, l = 6, w = 2) 10

70, 60, 20

2(h × w) + 2(h × l) + 2(w × l)

= 2(70 × 20) + 2(70 × 60) + 2(20 × 60)

= 2(1400) + 2(4200) + 2(1200)

= 2800 + 8400 + 2400

= 13,600

4 0
3 years ago
abduls average speed is 40 mph in heavy traffic and his average speed is 50 mph in light traffic for 1 hour and light traffic fo
alexira [117]

Answer:

over 9000

^^^

Liar.

Step-by-step explanation:

over 9000

^^^

Liar.

3 0
2 years ago
PLEASE HELP ASAP THE DETAILS ARE BELOW.What is the value of x?
Aloiza [94]

Answer:

x = 30°.

Step-by-step explanation:

The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.

The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.

The largest triangle includes three angles:

  • The angle with the center of the circle as its vertice: 60°;
  • The right angle due to the tangent to the circle: 90°;
  • The angle x°.

What is the value of x?

The three interior angles of a triangle add up to 180°. As a result,

60° + 90° + x° = 180°

x = 180 - 90 - 60 = 30.

6 0
3 years ago
Mikel walks down 5 flights of stairs . each flight has 8 steps. which describes mikel's descent
Ludmilka [50]

Answer:

40 steps downwards

Step-by-step explanation:

4 0
2 years ago
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