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mars1129 [50]
3 years ago
11

What is the value of q?

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Step-by-step explanation:

ΔSTR and ΔSQR are similar triangles

so TR/SR=SR/QR

--> q/14=4/q

--> q = 2\sqrt{14}

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A rock drops from a height of 60m. how long does it take for it to hit the ground?
laila [671]

To solve for the time an object takes to hit the ground, the equation

<em>y</em> <em>= y₀ + v₀t + ½gt²</em>, or just <em>0 = y₀ +½gt²</em> since there is no initial velocity and the final y position is 0 (since it is on the ground). Therefore, <em>t = (−2y₀/g)^½.</em>

(-2*60/-9.8)^½ = 3.50 seconds.

<em />

8 0
3 years ago
You and your friend are painting the walls in your apartment. You estimate that there is 1000 square feet of space to be painted
leva [86]
After 45 minutes you will have painted 4*45=180 square feet.

so the total number of painted area, y, is:

y=180+x*(3+4) after the 45 minutes

where x is the number of minutes AFTER THE 45 minutes:

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so 117 minutes, or one hour and 57 minutes.
5 0
3 years ago
What is the slope of this line. Please see image below
Mariulka [41]

Answer:

-2

Step-by-step explanation:

I mean i use the slope formula m = (y_{2} - y_{1}) / (x_{2} - x_{1}) and you just plug in the values of the coordinates.  

3 0
3 years ago
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Find all polar coordinates of point P = (6, 31°). Im really struggling with this problem and I can't seem to find a consistent a
Kaylis [27]

Answer:

1. (6, -329°) (-6, 211°) (-6, -149°)  

2. (5, -5π/3) (-5, 4π/3) (-5,-2π/3)

Notice: (+,+),(+,-),(-,+),(-,-).

If we consider angles beyond 360° or 2π, many other names for these points can be determined.

The polar coordinate can be written as (r, θ) = (r, θ + 2nπ) or (r, θ) = [ - r, θ + (2n + 1)π ], where n is any integer

3 0
3 years ago
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In a race, Brian Collins has to cross 10 hurdles. The probability that he clears a hurdle is 2/3. Find P(clears all hurdles).
Gnom [1K]

Answer:

1024/59049

Step-by-step explanation:

P( clear hurdle) = 2/3

There are 10 hurdles

P ( clear all hurdles) = P( clear hurdle) * P( clear hurdle)...... 10 times

                                 = 2/3 * 2/3 *....... 10 times

                                  = (2/3) ^ 10

                                  =1024/59049

5 0
3 years ago
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