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cricket20 [7]
3 years ago
6

As θ increases from -pi/2 to 0 radians, the value of cos θ will.

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

4) Increase from 0 to 1

Step-by-step explanation:

We have to analyze the value of cos(Ф) from -π/2 to 0. This can be done if we simplify evaluate the value of cos(Ф) at these two extreme.

cos(-\frac{\pi}{2}) = cos(\frac{\pi}{2} )=cos(90)=0\\\\  cos(0)=1

This shows that value of cos(Ф) is 0 at  -π/2  or -90 degrees and increased to 0 at 0 degrees.

This answer can be validated if you visualize the graph of cos function. Cos function has a peak at 0 degrees, i.e. a value equal to 1. On right and left side of 0 degrees, the curve starts falling down and eventually touches the horizontal axis at 90 degrees and -90 degrees. This is shown in the graph attached below:

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Let event A= the place is a city let event B= the place in north America which outcomes are in A or B?
fredd [130]

Answer:


Step-by-step explanation:

Given two events which are

A = the event that the place is a city

and

B = the event that the place is in north America.

We have to find outcomes which are either A or B

This can be denoted as event AUB which implies A or B or both

The event A or B is defined by the place is either a city or it is in north America or a place in north America.

Hence AUB = the place is a city or place is in North America





6 0
3 years ago
Read 2 more answers
4. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?
Alexeev081 [22]
Distance between T(80, 20) and U(20, 60) = sqrt((20 - 80)^2 + (60 - 20)^2) = sqrt((-60)^2 + (40)^2) = sqrt(3600 + 1600) = sqrt(5200) = 72.11 units

Distance between T(80, 20) and V(110, 85) = sqrt((110 - 80)^2 + (85 - 20)^2) = sqrt((30)^2 + (65)^2) = sqrt(900 + 4225) = sqrt(5125) = 71.59

Distance between U(20, 60) and V(110, 85) = sqrt((110 - 20)^2 + (85 - 60)^2) = sqrt((90)^2 + (25)^2) = sqrt(8100 + 625) = sqrt(8725) = 93.41

Therefore, shortest distance for the trip = 71.59 + 93.41 = 165 units.
4 0
3 years ago
The following dot plot represents student scores on the Unit 1 math test. Scores are in whole number increments.
ratelena [41]

Answer:

38.3 (idk if it can be a decimal)

i think its 15. dont come at me

18 i think

~s9154499~

~Mia for short~

5 0
3 years ago
-2(x-3) &gt;-8<br> What is the answer
Vlad [161]

Answer:

x < 7

Step-by-step explanation:

First apply the -2 onto each term that it is being multiplied onto.

-2x + 6 > - 8

Now subtract six from both sides.

-2x > -14

Now divide by -2.

x < 7

<u>REMEMBER</u>

When doing greater than and less than equations like this, if you divide by a negative you must flip the greater than/less than.

5 0
3 years ago
A car rental company charges $10 a day and 17 cents per mile to rent their cars. If the total charge for a 2-day rental were $61
borishaifa [10]

Answer:

245 miles driven.

Step-by-step explanation:

A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars

Let x be the number of miles and y be the number of days

total change =0.17x  + 10y

Given total change is 61.65 and number of days = 2

plug in the values and find out the number of miles

61.65 = 0.17 x + 2(10)

61.65 = 0.17 x + 20

subtract 20 on both sides

41.65 = 0.17x

Divide by 0.17 on both sides

x = 245

245 miles driven.


7 0
3 years ago
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