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In-s [12.5K]
3 years ago
10

Which linear inequality is represented by the graph?

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

1/3 is the slope and if it’s less than or greater to that, then the bottom half of the graph is shaded in.

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There are 6 red marbles, 8 blue marbles, and 11 green marbles in a bag. What is the probability that you
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Answer:

14/25

Step-by-step explanation:

p(red or blue)=6/(6+8+11) +8/(6+8+11)=6/25+8/25=14/25

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How many times dose 25 go into 150
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The answer is 6.
4 quarters is 1 dollar right?
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Rewrite 9.524 as a mixed number in lowest terms
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Answer:   9 132

                 ----------

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

                                        1000             1000        1000:2     500          250

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3 years ago
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A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
qaws [65]

The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s

In this time, the projectile will have traveled horizontally a distance of

x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m

The projectile's horizontal and vertical velocities are given by

v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ

v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

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3 years ago
What is the measure of XYZ?<br> A. 75°<br> B. 33<br> C. 54<br> D. 108
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