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denis-greek [22]
3 years ago
12

Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0

Answer:

y ≥ 0  Pic 1

y < x  pic 2

x + y < 6  pic 3

vlada-n [284]3 years ago
8 0

Answer:

<h2>Third graph.</h2>

Step-by-step explanation:

First we have to analyse each restriction and compare with graphs.

The first restriction states that all solutions must be position or zero in the vertical axis, so, the are most only include the upper side of y-axis. So, the second option is not the answer because it's including negative values for <em>y.</em>

The second restriction is a line that cross the point (0,0), and states that every <em>y-value </em>must be less than every corresponding <em>x-values, </em>that means that the area of solution must be under the line that cross (0,0). So, option 1 and 3 are possible solutions.

In addition, the inequality sings < or >, indicate that the border of the solution cannot be solid, which give us the third graph as result.

Therefore, the third graph fulfil all restriction.

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1. Find the length a of the altitude drawn to the hypotenuse. [Triangle is not drawn to scale.]
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3 years ago
Luiza is jumping on a trampoline.
lyudmila [28]

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

4 0
3 years ago
In a circle of radius 30 inches, a central angle of 35 will intersect the circle forming an arc of length _____.. . A.18.33 feet
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The answer to the question above is letter C. To explain the answer if the given question, a circle of 30 inches radius, if the central angle is 35 degrees, intersecting the circle forms an arc of length which is 18.33 inches.
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