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prohojiy [21]
3 years ago
15

What is the constant of proportionality? 13 39 42 78

Mathematics
1 answer:
Nana76 [90]3 years ago
6 0
The constant of proportionality is 13
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4 0
3 years ago
Tan(x+pi/2)= negative cot x
DIA [1.3K]
I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

6 0
3 years ago
A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed
Darya [45]

Answer:

Speed of the parachutist is meters per second 2.083 meter per second

Distance travelled in 2 seconds 4.167 meter

Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

Speed of the parachutist is meters per second \frac{180*1000}{24*60*60} = 2.083 meter per second

Distance travelled in 2 seconds 2.083 *2 = 4.167 meter

8 0
2 years ago
3х + 4 = 9x - 8<br> What is the value of X to make the equation true?
givi [52]

Answer:

x=2

Step-by-step explanation:

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3 years ago
2 things wrong with the questionnaire? And..
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