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kolbaska11 [484]
3 years ago
13

Which of the following inequalities matches the graph?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:

c

Step-by-step explanation:

going negative stops at 4

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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
Read 2 more answers
Suppose that y varies directly with x and y=5 when x=6. What is y when x=5? Be sure to simplify your answer.
Charra [1.4K]

Answer:

y = \frac{25}{6}

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 5 when x = 6

k = \frac{y}{x} = \frac{5}{6}

y = \frac{5}{6} x ← equation of variation

When x = 5, then

y = \frac{5}{6} × 5 = \frac{25}{6}

8 0
3 years ago
The ratio of side lengths of a quadrilateral is 3 : 5 : 6 : 9, and its perimeter is 9.2cm. What is the length of the longest sid
wolverine [178]

Answer:

longest side=3.6

let ratio 3:5:6:9be 3x,5x,6xand9x

perimeter= sum of all side

9.2=3x+5x+6x+9x

9.2=23x

x=9.2÷23

x=0.4

9x=9×0.4=3.6

6x=6×0.4=2.4

5x=5×0.4=2

3x=3×0.4=1.2

5 0
3 years ago
3x+8 = 3x + ?<br><br> All values of x?
Eva8 [605]

Answer:  x=2

Step-by-step explanation:

3 0
3 years ago
In the figure below AC and BE are diameters of circle P. what is the arc measure of DBE in degrees
Paraphin [41]

Answer:

idk it looks easy but idk..

Step-by-step explanation:

7 0
3 years ago
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