1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VMariaS [17]
3 years ago
10

If cos Theta < 0, which quadrent(s) could the terminal side of Theta lie?

Mathematics
1 answer:
Korolek [52]3 years ago
4 0
If cosΦ is lesser than zero (negative) it must be in quadrant 2 or 3 because cos is always positive in quadrants 1,4.
You might be interested in
The sum of a number and twice its reciprocal is 27/5. Find<br>the number.​
vovangra [49]

Answer:

x  , reciprocal= 1/x  

x+2(1/x)=27/5  

x+2/x=27/5  

x^2+2=27/5*x  

x^2-27/5*x+2=0  

(x-5)(x-2/5)=0  

<u><em>x=5, 2/5</em></u>

<u><em></em></u>

6 0
3 years ago
2. When Joey dives off a diving board, the equation of his pathway can be modeled by h = -16- + 15 + 12.
Sergeu [11.5K]

Answer:

a) The maximum height is approx 15.5 unit.

b) The time it will take for Joey to reach the water is 1.45 hour.

Step-by-step explanation:

Given : When Joey dives off a diving board, the equation of his pathway can be modeled by h(t)= -16t^2+15t + 12

To find : a) Find Joey's maximum height.

b) Find the time it will take for Joey to reach the water.

Solution :

Modeled  h(t)= -16t^2+15t + 12 ....(1)

a) To find maximum height

Derivate (1) w.r.t. t,

h'= -32t+15

For critical point put h'=0,

-32t+15=0

t=\frac{15}{32}

t=0.46875

Derivate again w.r.t. t,

h''= -32

It is maximum at t=0.46875.

Substitute t in equation (1),

h(0.46875)= -16(0.46875)^2+15(0.46875)+12

h(0.46875)= -3.515625+7.03125+12

h(0.46875)= 15.515625

The maximum height is approx 15.5 unit.

b) To find the time it will take for Joey to reach the water.

Put h=0 in equation (1),

-16t^2+15t + 12=0

Apply quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Here, a=-16 , b=15, c=12

t=\frac{-15\pm\sqrt{(15)^2-4(-16)(12)}}{2(-16)}

t=\frac{-15\pm\sqrt{225+768}}{-32}

t=\frac{-15\pm\sqrt{993}}{-32}

t=\frac{-15+\sqrt{993}}{-32},\frac{-15-\sqrt{993}}{-32}

t=−0.515,1.453

Reject negative value.

The time is t=1.45.

The time it will take for Joey to reach the water is 1.45 hour.

5 0
3 years ago
Please help me find the answer! solve for x.
liq [111]

Answer:

answer is 72 degree because the side of the angle is increased from side AC

6 0
2 years ago
How much can 2 go into 80
iren [92.7K]

Answer:

40

Step-by-step explanation:

80/2= 40

8 0
2 years ago
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and
Alexxandr [17]

Answer:

P = 0,0012     or   P = 0.12 %

Step-by-step explanation:

We know for normal distribution  that:

μ ± σ  in that range we find 68.3 % of all values

μ ± 2σ      ⇒  95.5 %      and

μ ± 3σ      ⇒  99.7 %  

Fom problem statement

We have to find (approximately)  % of cars that reamain in service between 71 and 83 months

65 + 6 = 71                ( μ + σ )     therefore 95.5 % of values are from 59 and up to 71  then by symmetry   95.5/2  =  49.75 of values will be above mean

Probability between 65 and 71 is  49.75 %

On the other hand 74 is a value for mean plus 1, 5 σ  and

74 is the value limit for mean plus 1,5 σ and correspond  to 49,85 (from z=0 or mean 65).

Then the pobabilty for 83 have to be bigger than 49.85 and smaller than 0,5 assume is 49.87

Finally the probability approximately for cars that remain in service between 71 and 83 months is :  0,4987 - 0.49.75

P = 0,0012     or   P = 0.12 %

8 0
3 years ago
Other questions:
  • Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu
    13·1 answer
  • I need some help with number five because I'm stupid. Please and thanks
    9·2 answers
  • Use mapping notation to represent a 90 degree clockwise rotation about the origin of the point (x, y)
    5·2 answers
  • Find the value of y for the following system of equations 5x + 3y = 10 x = y - 6
    5·1 answer
  • 7. The total cost of producing 475 calculators was $12,825. What is the unit cost (that is, the cost of producing 1 calculator)?
    13·2 answers
  • A truck was carrying a load of 458 pounds of gravel. Another 231 pounds of gravel was loaded onto the truck.
    6·1 answer
  • 8. scatterplots easy help asap
    8·2 answers
  • Find the slope of the line.
    11·1 answer
  • 72 times 73? <br>Need help answering​
    10·2 answers
  • Convert the following fraction to a decimal.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!