Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15
Answers
Using trigonometric identities, it is found that the value of the tangent of the angle is given by:
B. [tex]-\frac{\sqrt{15}}{7}[/tex]
What is the tangent of an angle?The tangent of an angle is given by it's sine divided by it's cosine, that is:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this problem, we have that:
[tex]\cos{\theta} = -\frac{7}{8}[/tex]
The following identity is applied:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
Then:
[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]
[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]
[tex]\sin^2{\theta} = \frac{15}{64}[/tex]
[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]
Since it is on the second quadrant, it is positive, hence:
[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]
Applying the tangent equation:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]
[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]
More can be learned about trigonometric identities at https://brainly.com/question/22591162
Related Questions
A ticket to a movie theater costs $5.25. A large lemonade costs $3 and a small popcorn costs $1.55. What is the total cost of going to the movie and buying a large lemonade and a small popcorn?
Answers
Answer:
Your answer is 9.8
Step-by-step explanation:
Well, this is fairly simple... You're adding the cost for the move, the cost for large lemonade, and the cost for a small popcorn.
5.25+3= 8.25 | 8.25+1.55= 9.8
Your answer is 9.8
Answer:
$9.80
Step-by-step explanation:
Add the cost of the ticket, lemonade, and popcorn.
total cost=5.25+3+1.55
total cost=9.8
Which means $9.80
Please help me with this
Answers
answer
is 13.21 because i did the promble on the calculatoor
If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work?
Answers
Answer:
If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work? ∴ 7 women and 11 girls can do complete work in 3 ¾ days.
Step-by-step explanation:
Answer:
7 5/9 days or 8 days (if rounded)Step-by-step explanation:
3 women or 5 girls take 17 days to complete a piece of work.
The amount of work*people is:
(3 + 5)*17 = 136Number of people in the second case:
7 + 11 = 18Time required to complete same work:
136/18 = 7 10/18 = 7 5/9 daysEl último informe digital de Perú, publicado en el mes de febrero, reveló que hay 19,9 millones de internautas. Asimismo, hay 27 millones de usuarios activos en los medios sociales En la siguiente gráfica se presentan datos por rango de edad y género en porcentajes.
Si se desea realizar una encuesta a usuarios peruanos de las diversas redes sociales en el 2021, ¿cuál es la probabilidad de que el primer usuario que responda la encuesta sea mujer de más de 44 años?
Answers
Desde el gráfico, se encuentra que hay una probabilidad de 9.9% que el primer usuario que responda la encuesta sea mujer de más de 44 años.
------------------------
El gráfico muestra el porcentaje de usuarios de redes sociales correspondiente a características de género y edad.De el gráfico, hay:
Una probabilidad de 5.1% que el primer usuario sea mujer entre 45 y 54 años.2.7% que sea mujer entre 55 y 64 años.2.1% que sea mujer con más de 65 años.5.1% + 2.7% + 2.1% = 9.9%, puesto que:
Hay una probabilidad de 9.9% que el primer usuario que responda la encuesta sea mujer de más de 44 años.
Un problema similar es dado en https://brainly.com/question/18734831
PPPPPPPPPPPPPPLLLLLLLLLLLLLLEEEEEEEEEEEEESSSSSSSSSSSSSSSAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSEEEEEEEEEEE help me!
Answers
Answer:
a
Step-by-step explanation:
Can someone help me with number 4?
Answers
300m•20=6b population
B is the most accurate
write an equation of the line that passes through the pair of points (5,-3), (2,5)
Answers
Answer:
y = [tex]-\frac{8}{3} x +5\frac{16}{3}[/tex]
Step-by-step explanation:
You use rise over run:
(-3 - 5)/(5 - 2) = 8/3
then plug in one of the coordinates to fine the y-intercept
Please help me !! Marking brainliest
Which number is the greatest?
A the square root of 125
B the whats root of 30
Answers
Answer:
B) √(30)
Step-by-step explanation:
A: The cube root of 125 is 5 because 5^3, or 5 × 5 × 5, equals 125.
B: The square root of 30 is between the numbers 5 and 6, meaning 30 is between 25 and 36. The square root of 30 is about half-way in between 5 and 6, so we can say √(3) ≈ 5.5
Now, when we compared 5.5 and 5, 5.5 is obviously greater. Therefore, the correct answer is B √(30).
Volume of this prism
Answers
Answer:
the Volume of the prism is 108 because
Volume = Base area x height
V = 12 * 9 = 108
Step-by-step explanation:
if the breadth of rectangle in one fourth of its length and perimeter is 60 cm ,find the length and breadth of rectangle
Answers
Answer:
Breadth/width = 1.936cm, length = 7.746cm
Step-by-step explanation:
Perimeter of a rectangle would be [tex]2L*2W=60cm[/tex] in this case. Breadth is width.
But we can rewrite this equation given that the width is 1/4 the length. This means 4 of the widths would equal one length.
[tex]W=\frac{1}{4}L[/tex]
[tex]L=4W[/tex]
We can substitute L with the 4W
[tex]2(4W)*2(W)=60cm[/tex]
Now we can just solve for the width W.
[tex]8W*2W=60\\16W^2=60\\W^2=\frac{15}{4} \\W=\sqrt{\frac{15}{4} } \\W=\frac{\sqrt{15} }{2}=1.936cm[/tex]
We now know the width is about 1.936cm
We can find the length given our formula before of [tex]L=4W[/tex]
[tex]L=4(\sqrt{\frac{15}{2} } )=2\sqrt{15} =7.746cm[/tex]
So the breadth/width is 1.936cm and the length is 7.746cm.
help me my people plzzzzzzzzzzz
Answers
Answer:
31,500
Step-by-step explanation:
Hope this helps!
jordan has 785$ in his savings account. he withdraws 15% of money to pay for school clothes. which is the best estimaye for the amount of money jordan withdraws?
Answers
Answer:
52%
Step-by-step explanation:
you got to divide 15 by 785. First 15 goes into 78 5 times which is 75. Then subtract 78 by 75 which is 3. Then bring down the 5 which makes 35 and then 15 goes into 35 two times which is 30 subtract 35 by 30 which is 5 bring up the 5 into a fraction and the ansewer in percentage is 52%.
what is the intersection of planes m and L
a. point D
b. line ab
c. line ce
d. they do not intersect
Answers
Answer:
d. they do not intersect
Step-by-step explanation:
what is 6 ( 4 - x) + 2 =
3
Answers
Answer:
x= 23/6
x=3.83
x= 3 5/6
all of those are the answers and are equal
hope this helped
can I plz be brainiest
Add -2.25 +2.5
Plot the first addend and the sum on the number.
Please quick
Answers
Answer:
.25
Step-by-step explanation:
i do not know what Plot the first addend and the sum on the number. is... sorry
please help me solve this problem and figure out how to solve it
Answers
What fraction is equivalent to 0.5 + 0.4
Answers
Answer:
9/10
Step-by-step explanation:
I used a calculator ! :)
C: Joe is a waiter.
Last night he made
$37 in fips and
makes $8.50 per
hour. How much did
he make after his 8
hour shift?
Answers
Answer:
8x8.5 +37
68+37 = 105
$105 dollars for an 8 hour shift
$68 salary + $37 tips = $105
Answer:
total wage in 8 hrs = $105
Step-by-step explanation:
37 + (8 * 85) = 37 + 68 = $105 we simply do the maths without decimal then place on the 10's =(8 * 85) = 680 = $68 then add the $37 = $105
There's a roughly linear relationship between the length of someone's femur (the long
leg-bone in your thigh) and their expected height. Within a certain population, this
relationship can be expressed using the formula h = 63.4 +2.41f, where h
represents the expected height in centimeters and f represents the length of the
femur in centimeters. What is the meaning of the f-value when h=123?
Answers
Answer:
24.73
Step-by-step explanation:
h=63.4+2.41f
h=123
123=63.4+2.41f
59.6=2.41f
24.73=f
If the value of h is 123. Then the length of the femur will be 24.73 centimeters.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
h = 63.4 + 2.41 f
Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.
If the value of h is 123. Then the f-value is given as,
123 = 63.4 + 2.41 f
2.41 f = 59.60
f = 24.73 cm
Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
A factory uses 220,000 gallons of water to produce
2 tons of steel. How many gallons of water are
needed to produce 1 pound of steel?
A 55 gallons
B 110 gallon
C 110,000 gallon
D 440,000 gallon
Answers
So, 220,000 gallons of water is used to produce 4,000 pounds of steel.
4,000 pounds = 220,000 gallons
Divide both sides by 4,000 to get:
1 pound = 55 gallons.
So the correct answer is A.
Please help!!!!!!!:(
Answers
Answer:
Yo no sé. ¿Has intentado buscarlo?
Step-by-step explanation:
the function y=-x^(3)+3x^(2)+2017 covariates in the range:
Answers
Answer:
min{-x^3 + 3 x^2 + 2017} = 2017 at x = 0
Find and correct the error!
Answers
Answer:
Step-by-step explanation:
Jen 's drawing shows that the lines are parallel in fact they are not parallel ! Since their slopes are not equal !
[tex]\displaystyle \left \{ {{y=2x+3} \atop {-y=2x+1}\ \ |\cdot (-1) } \right. => \left \{ {{y=\boldsymbol {2}x+3} \atop {y=\boldsymbol {-2}x-1}} \right. => -2\neq 2[/tex]
They will intersect at point A with coordinates :
[tex]2x+3=-2x-1 \\\\ 4x=4 \\\\ x=-1 \ ; \ y=1 => A(-1 \ ; \ 1)[/tex]
find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Answers
n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
a = 1b = 2Uₙ = 2n - 1sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Refer to the attachment
Which is the solution to 5 <3x + 17 <71?
Answers
Answer:
D is the most likely answer
Step-by-step explanation:
this problem is strange, but knowing that 3x + 17 has a domain of all reals, all of them are possible, so the only limits are 5 and 71...
Question is in the photo.
Answers
What is the value of the digit 6 in
59,732.106?
6 hundredths
B
6 ten-thousandths
6 tentos
6 thousandths
Answers
Answer:
6 thousandths.
Step-by-step explanation:
The 1 in the number 59,732.106 would the tenth value.
The 0 in the number 59,732.106 would be the hundreth value since its past the decimal point,
The pattern goes by the tenth, hundredth, thousandth, and then ten-thousandth.
-kiniwih426
Emma and Devon have a total of 21 trophies. Emma has twice as many trophies as Devon. How many trophies does Devon have? Fast, please.
Answers
I'm pretty sure you just do 21 times 2. So your answer should be 42.
Solve for x.
9(x + 1) = 25 + x
x = 2
x = 3
x = 4
x = 5
Answers
Answer:
x = 2
Give me the brainlest, please?
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
9(x+1)=25+x (Distribute the 9)
9x+9=25+x (Work both sides to isolate the variable)
-9 -9
9x=16+x
-x -x
8x=16
/8 /8
x=2
Can someone tell me how you got the correct answer for these questions
Answers
Answer:
Q13/ slope = 2
Q14/ slope = 8
Step-by-step explanation:
Q13/
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \\ = \frac{ - 5 - 5}{ - 3 - 2} = \frac{ - 10}{ - 5} \\ \\ = \frac{10}{5} = 2[/tex]
Q14/
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \\ = \frac{ - 8 - 8}{7 - 9} = \frac{ - 16}{ - 2} \\ \\ = \frac{16}{2} = 8[/tex]
I hope I helped you^_^