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4 years ago

What is the value of sin(−θ) ?

Mathematics

1 answer:

Ghella [55]4 years ago

6 0

Answer:

Step-by-step explanation:

The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.

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1234 please help please

Debora [2.8K]

1 . 163 just subtract

6 0

3 years ago

Read 2 more answers

Given f(x) = 3x- 1 and 9(x) = 2x-3, for which value of

Montano1993 [528]

Answer:

x = 4

Step-by-step explanation:

$f(x)=3x-1\\g(x)=2x-3$

substitute x = 2 into f(x):

$f(2)=(3 \times2)-1=5$

equate g(x) with found value for f(2) and solve for x:

$g(x)=f(2)\\2x-3=5\\2x=8\\x=4$

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2 years ago

"Polio has a basic reproduction number (R0) = 5. The vaccine is very good; in fact, polio vaccine is 99% effective when two foll

yulyashka [42]

Answer:

0.81

Step-by-step explanation:

Herd immunity or community immunity is the immunity seen after vaccination of a population wherein the large portion of the population becomes immune to the pathogen. It depends on vaccine efficacy and vaccination rate.

The reproduction number R_o is a factor indicating the number of people that can be infected by the person with the disease. If Ro=5 then one infected person can infect 5 people with Polio virus.

V_c= q_c/E

V_c= Vaccine coverage

q_c= herd immunity threshold

E= Vaccine efficacy= 99%=0.99

$q_c=1-1/R_o= 1-1/5=0.8$

V_c= q_c/E

V_c= 0.8/0.99= 0.808= 0.81

Thus, 81% coverage or vaccination for Polio is required to stop spread of Polio in the population.

5 0

3 years ago

What is the surface area of the regular pyramid below?

kkurt [141]

Answer:

648 sq units

Step-by-step explanation:

Area of the base= 12×12= 144 sq. units

Perimeter of the base=4×12= 48

Total surface area= 1/2×48×21 + 144

=648 sq units

8 0

3 years ago

Read 2 more answers

A bag contains 4 red marbles, 8 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the probabi

3241004551 [841]

4 Red + 8 Blue + 3 Green = 15 Total Marbles

(4/15) * (3/14) * (2/13) = 0.0087912088

Nearest 1000th = 0.009

Answer: 0.009

7 0

4 years ago