Answers
Hi there! Use the following identities below to help with your problem.
[tex] \large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}[/tex]
What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.
[tex] \large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}[/tex]
As we know, sec²θ = 1/cos²θ.
[tex] \large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }[/tex]
And thus,
[tex] \large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }[/tex]
Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.
[tex] \large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}[/tex]
Then use the Identity of sinθ = tanθcosθ to find the sinθ.
[tex] \large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }[/tex]
Answer
sinθ = -4sqrt(17)/17 or A choice.Related Questions
Someone help pls :,)
Answers
Answer:
B=70.41 m^2V=675.41 m^3
Step-by-step explanation:
I'm in a hurry
I need answers now please!
Answers
Answer:
option C
Step-by-step explanation:
Plzzz help me plzzzzz math helppppp
No links or imma report u 20 points plzzzzz
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Answer:
wheres the question? it just says what you said-
Answer:
Picture please
Step-by-step explanation:
I'll help you with math, is it 6th grade math?
In a group of 32 pupils, 3 play the flute only. 13 play the piano only. 10 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answers
Answer:
18.75%
Step-by-step explanation:
Given that
There is a group of 32 pupils
3 play the flute only
13 play the piano only
And, 10 play neither instrument
We need to find out the probability the student plays both instruments
So
= (32 - 13 - 10 - 3) ÷ 32
= 6 ÷ 32
= 0.1875
= 18.75%
Answer:
6/32 or 3/16
Step-by-step explanation:
13 add 10 add 3 = 26
32-26=6
the total amount of children is 32 so the number is 6/32
you can then simplify it to 3/16
hope this helps :)
if 4x=3y, which shows the ratio of x to y in simplest form?
Answers
Answer:
B
Step-by-step explanation:
4x=3y
x/y=3/4
Just like the photo I attached
If 4x=3y, then 3/4 is the ratio of x to y in the simplest form. Option B is correct.
The ratio of x to y can be determined by dividing both sides of the equation 4x = 3y by y:
4x/y = 3y/y
4x/y = 3
To express the ratio of x to y in simplest form, we divide both sides of the equation by 4:
x/y = 3 / 4
Therefore, the ratio of x to y in simplest form is 3/4. option B is correct.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ4
Show your work.
please help!
Answers
Answer:
5/3
Step-by-step explanation:
25^1/2/27^1/3
5/27^1/3
5/3
look at picture for better set up
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
5
3
5
3
Decimal Form:
1.
¯
6
1.6‾
Mixed Number Form:
1
2
3
4 divided by 5 long division
I need help on this please
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1 with a remainder of 1
(6+1) to the power of 2. For some reason I forgot how to do this.
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Just add what’s in the bracket then square it.
(6+1)^2
7^2
= 49
Answer:
49
Step-by-step explanation:
see the image below:)
Solve the equation 3 (x+ 4.5) = 36 one step at a time. Use the diagram to help you
(EXPLAIN. step BY step)
Answers
Then you get x+4.5=12
Move the constant to the right-hand side and change its sign x=12-4.5
Then you want to subtract the numbers Subtract the numbers
Then your answer is X=7.5 have a great day
Out of 80 workers surveyed at a company, 11 walk to work A. What is the experimental probability that a randomly selected worker at that company walks to work B. Predict about how many of the 3,700 workers at the company walk to work
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Answer:
Below.
Step-by-step explanation:
A. Required probability = 11/80.
B. 3700 * 11/80 = 508.75 so the predicted number would be 509.
I need help please !!!!!!
Answers
Explanation:
Isosceles triangle is where two side lengths are equal.
Equilateral triangle is where all side lengths are equal.
Scalene Triangle is where all side lengths have different measures.
Since this triangle has two side lengths with the same measure it is an isosceles triangle.
can someonee help me please
Answers
Answer:4
Step-by-step explanation:
x+8=2x-1
so x-9=0
and x=9
so x+6=9+6=15
and x+8=9+8=17
You can do Pythagoras' theorem:
17^2-15^2=64
so [tex]\sqrt{64}[/tex]=4
please help me do it i can't seem to get it
Answers
Given:
In triangle XYZ, P is the centroid of triangle XYZ, YP = 8, QP = 5, YZ = 10.
To find:
The measure of median YS.
Solution:
We know that a centroid divides a median in 2:1.
P is the centroid and YS is the median. So,
[tex]YP:PS=2:1[/tex]
Let the measure of YP and PS are 2x and x.
It is given that the measure of YP is 8.
[tex]2x=8[/tex]
[tex]x=\dfrac{8}{2}[/tex]
[tex]x=4[/tex]
[tex]PS=4[/tex]
Now, the measure of YS is:
[tex]YS=YP+PS[/tex]
[tex]YS=8+4[/tex]
[tex]YS=12[/tex]
The measure of median YS is 12 units. Therefore, the correct option is (a).
solve for x
20
30
40
56
Answers
Answer:
30
Step-by-step explanation:
brainliest?
Answer:
40
Step-by-step explanation:
write an expression that is equivalent to: 1/3 ÷ 5/6
Answers
Answer: 0.4 or 4 i think
someone please explain this
Answers
Answer:
Step-by-step explanation:
110=4t+90(being vertically opposite angles)
110-90=4t
20/4=t
5=t
Answer:
Hello! answer: t = 5 degrees
Step-by-step explanation:
these are vertical angles meaning they will have the same measure! 4 × 5 = 20 and 20 + 90 = 110 therefore t = 5 HOPE THAT HELPS!
A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function \large h=-16t^2+40t. What is the ball's maximum height?
Answers
Answer:
[tex]h=25[/tex]
Step-by-step explanation:
From the question we are told that:
Velocity [tex]v=40fts[/tex]
The height h function
[tex]\large h=-16t^2+40t[/tex]
Generally time t is mathematically given by
[tex]h'=-32t+40[/tex]
[tex]-32t+40=0[/tex]
[tex]t=\frac{40}{32}[/tex]
[tex]t=1.25[/tex]
Therefore the ball's maximum height is given as
[tex]\large h=-16(1.25)^2+40(1.25)[/tex]
[tex]\large h=-16(1.25)^2+40(1.25)[/tex]
[tex]h=25[/tex]
The sum of three numbers is 84, the second number is 2 times the 3rd , the first number is 8 more than the 3rd. What are the numbers
Answers
Answer:
a = 27
b = 38
c = 19
Step-by-step explanation:
a + b + c = 84
b = 2c
a = 8+c
8+c +2c+c = 84
4c + 8 = 84
4c = 76
c = 19
b = 2(19) = 38
a = 8 + 19 = 27
Which expression is equivalent to 6 (3 + 4) ?
Answers
Answer: 42
Step-by-step explanation:
6(3+4)
6*7
42
help help 100 points
Answers
Answer:
all of them except the first and the 4th
Step-by-step explanation:
Answer:
Step-by-step explanation:
All but 4
if each box represents 1 miles, what is the shortest distance from the school to the skate park.
Answers
The shortest distance between two points is a straight line.
Use the distance formula for points.
In the diagram, we are given two points:
(4,2) and (-3,0).
Let d = distance between the two points.
d = sqrt{(-3 -4)^2 + (0-2)^2}
d = sqrt{(-7)^2 + (-2)^2}
d = sqrt{49 + 4}
d = sqrt{53}
d = 2.2360679775
d = 2.2 miles
Hey guys! Can i get some help on this one? Thank u!
Answers
Answer:
x=-1
Step-by-step explanation:
-2x-3=x
add 2x to both sides
-3=3x
divide both sides by 3
-1=x
Can anyone help?????
Answers
The long sides are 5 more than the short base (4x-2) hence each long side is (4x-2)+5 which is simplified to 4x+3.
Keep the perimeter as a hint because it is the total of all the sides, this gives x.
Make the equation
4x+3+4x+3+4x-2 = 64
Simplify
12x+4=64
x=60/12
x=5
The length of one long side is (4*5+4)=24
I hope it’s correct because I’m not sure if they saying that both the sides are 5 inches longer or each of the longer sides are 5 inches longer. It would make a difference.
Hopefully this helped
¿Cuál propiedad de los números complejos se muestra a continuación?
continuación?
(2 + 3i )+(5 - 4i) = (5 - 4i)+(2 + 3i). A) asociativa. B) distributiva. C) inverso aditivo. D) conmutativa. Cual es la respuesta correcta ? please help me quickly
Answers
Answer:
D) Comutativa
Step-by-step explanation:
a+b=b+a (álgebra)
espero que te sirva mi ayuda
List the first 5 multiples of 4. * Your answer
Answers
Answer:
4,8,12,16,20
Step-by-step explanation:
4,8,12,16,20
Can someone help with these two questions thank you!
Answers
Answer:
10^-5= 1/10^5
so option c is correct
What is the code? Please help!
Answers
Can pls someone help me plsss I need help :(
Answers
Answer: [tex]7,5.66,39^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]IJ=9\\\angle I=51^{\circ}[/tex]
from figure, we can write
[tex]\Rightarrow \sin 51^{\circ}=\dfrac{HJ}{9}\\\\\Rightarrow HJ=9\sin 51^{\circ}=6.99\approx 7[/tex]
[tex]\Rightarrow \cos 51^{\circ}=\dfrac{HI}{9}\\\Rightarrow HI=9\cos 51^{\circ}\\\Rightarrow HI=5.66[/tex]
In right angle trianle, the sum of the remaining two angles is [tex]90^{\circ}[/tex]
[tex]\therefore 51^{\circ}+\angle J=90^{\circ}\\\Rightarrow \angle J=90^{\circ}-51^{\circ}\\\Rightarrow \angle J=39^{\circ}[/tex]
During the basketball season, Jason scored 43 points. He scored 5 fewer points than three times the number Kevin did. How many points did Kevin score? Write an equation and solve.
Answers
K=(43+5)/3
K=(48)/3
K= 16
Quadrilateral WXYZ is translated 5 units left and 2 units down to create Quadrilateral W’X’Y’Z’.
2
Which rule best describes this transformation?
(x, y) → (-4x, -4y)
(x, y) → (-5x, -2y)
(x, y) → (x + 5, y + 2)
(x, y) → (x - 5, y - 2)
Answers
Answer:
It would be a
Step-by-step explanation: