If cos 0 = 3/radical 22 and angle 0 is in Quadrant I, what is the exact value of tan 20 in

Mathematics

2 answers:

Sloan [31]3 years ago

6 0

Answer:

tan θ = (√13)/3

Step-by-step explanation:

cosθ = 3/√22 = adj/hyp

third side of triangle has dimension

c = √((√22)² - 3²) = √13

tan θ = opp/adj = (√13)/3

Greeley [361]3 years ago

6 0

−3

Step-by-step explanation:

You might be interested in

Newton's second law says that force (f) is equal to mass (m) times acceration (a). A scientist wants to calculate the force of a

Rina8888 [55]

It would be D. 0.29 x 9.8 = 2.842

7 0

3 years ago

A birthday cake was cut into equal pieces, and four pieces were eaten. The fraction is 3/7 how many are left

GaryK [48]

3 are left.
3/7 means there were 7 slices, but it's missing 4 slices. (Eaten)

i hope this helps :)

7 0

3 years ago

Who can help me with this for algebra 2

Anuta_ua [19.1K]

The answer to this equation is

x= 1, -3

7 0

2 years ago

One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that

inessss [21]

Let
x-------> the probability that a boy is chosen
B------> number of boys in the debate team
G------> number of girls in the debate team

we know that
B+G=20-----> G=20-B-----> equation 1
probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

the probability that a girl is chosen is 2/3 the probability that a boy is chosen
probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

7 0

3 years ago

Mia tossed a penny, a nickel, and a dime. Which is a complete tree diagram for all possible outcomes, where H represents heads a

Novay_Z [31]

Mia tossed a penny,a nickel and a dime all possible outcomes of H is the answer C.

Step-by-step explanation:

The two possible outcomes for penny,nickel and dime is H & T.
H is for head T is for tail.
Let A {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
Tossing a fair coin will give the above result.
S is the called the n number of outcomes that are available for a set.
Total outcome of Sample space 8.
The three diagram is like a game theory it exploits different outcome.

8 0

3 years ago