Answers
Answer:
[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex]
Step-by-step explanation:
The parameters of the angle θ₁ are;
The location of θ₁ = Quadrant II
cos(θ₁) = -22/29
We note the following;
1) The sine of an angle in quadrant II is positive
2) The cosine of an angle in quadrant II is negative,
2) The cos of an angle = The adjacent leg length to the reference angle divided by the hypotenuse length of a right triangle
3) With regards to the right triangle for finding cos(θ₁)
The adjacent leg length = -22 (The x-axis is negative in quadrant II)
The hypotenuse length = 29
The negative sign is obtained from the value of cosine in the quadrant
Therefore, by Pythagoras' theorem, for a right triangle, we have;
The opposite leg length to 'θ₁' = √(29² - 22²) = √(357)
[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
Therefore, we have;
[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex].
Related Questions
Find the slope of the line that contains (−3,5) and (3,−9).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
Answers
PLEASE HELP!!! Given PQ. Find the measure of arc PQ, if the radius is 30 and chord PQ = 36. Round to nearest degree.
Answers
Answer:
I think the answer is 30.
50 Points
Find the value of r in the figure.
Assume that lines a and bare parallel.
(4r - 30)
(2x)
b
Answers
Answer:
A) x = 15
Step-by-step explanation:
4x - 30 = 2x
subtract 2x from each side of the equation:
2x - 30 = 0
add 30 to each side:
2x = 30
x = 15
Answer:
[tex] \displaystyle A) {15}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said
[tex] \displaystyle 4x - 30 = 2x[/tex]
cancel 2x from both sides:
[tex] \displaystyle 2x - 30 = 0[/tex]
add 30° to both sides:
[tex] \displaystyle 2x = 30[/tex]
divide both sides by 2:
[tex] \displaystyle x =15[/tex]
hence
our answer is A)
solving by elimination
7x-y=19
2x-3y=19
Answers
Answer:
2x + y = -2, x + 2y = 2
4x + y - 2z = 0, 2x+ 3z = 9 , -6x - 2y + z = 0
x + y = 4 , x - y = 2
Step-by-step explanation:
Answer:
x=2 and y=−5
Step-by-step explanation:
Let's solve your system by elimination.
7x−y=19;2x−3y=19
Multiply the first equation by -3,and multiply the second equation by 1.
−3(7x−y=19)
1(2x−3y=19)
Becomes:
−21x+3y=−57
2x−3y=19
Add these equations to eliminate y:
−19x=−38
Then solve−19x=−38for x:
−19x=−38
(Divide both sides by -19)
x=2
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
7x−y=19
Substitute2forxin7x−y=19:
(7)(2)−y=19
−y+14=19(Simplify both sides of the equation)
−y+14+−14=19+−14(Add -14 to both sides)
−y=5
y=-5
Tell whether this equation has no solution, one solution, or infinitely
many solutions.
2x+5=5x-1
O no solution
Oone solution
O infinitely many solutions
Answers
Answer:
infinitely many solutions
Step-by-step explanation:
Can someone help me on this question?
Answers
Answer:
90°
Step-by-step explanation:
opposite angles of quadrilateral is 180 so
<d is 180-90 = 90
I need help on this question. I tried finding the answer through my own thinking and the Internet, but I still couldn't get it.
Answers
Answer:
your answer is 3x2+10x−7
Step-by-step explanation:
The number of butterflies in an exhibit is decreasing at an exponential rate of decay. The number of butterflies is decreasing by 5% every year. There are 500 butterflies in the exhibit right now. How many butterflies will be in the exhibit in 7 years? Round your answer to a whole number.
Answers
Answer:
349 butterflies
Step-by-step explanation:
The formula for Exponential Decay =
y = a(1 - r)^t
Where y = Size of population after time t = ?
a = Initial size of population = 500
r = Decay rate = 5%
t = Time = 7 years
Hence,
y = 500(1 - 0.05)⁷
y = 500(0.95)⁷
y = 349.16864805 butterflies.
Approximately = 349 butterflies
PLEASE HELP ASAPPP ILL MARK BRAINLY IF CORRECT
Answers
Answer:
I don't really understand this problem from the picture but here is some tips-
Step-by-step explanation:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.
Use the picture attached. Sorry for not answering the exact question!
Can I get brainliest?
HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!
The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long. How long is the longer leg of the triangle?
1) 17yd
2) 17√2yd
3) 17√3yd
4) 34yd
Answers
Answer:
[tex]17\sqrt{3}[/tex]
Quiz Results:
The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd
What is a 30-60-90 Special Right Triangle?The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
The wider the angle is, the larger the side opposite to is.
For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).
As shown in the image below, using the sine law for non right angles, we get:
[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd[/tex]
Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd
Learn more about law of sines here:
https://brainly.com/question/17289163
I am R80000 pay 42% tax how much money do I pay in tax??
Answers
Answer:
46400 rands
Step-by-step explanation:
Because it's common sense
63
Which expression is not equivalent to
66
A
62
B
1
216
1
D
Answers
Answer:1216
Step-by-step explanation:
It’s to big and if this helps plz but a brainly :)
help pleas ..........................
Answers
Answer:
5
Step-by-step explanation:
if the whole segment is 17 and FG is 12, you would do 17-12 to get EF
Answer:
I think its 5
Step-by-step explanation:
You have to add EG and FG. Sorry if its incorrect im not very good at this kind of thing.
I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!
Answers
And it can be proven
Answer:
It is correct how you put it
Help me please I'm very confused about this!
Answers
Answer:I think it's trying to find the area of which is a 5 times 2 = 10
Step-by-step explanation:
Need help thanks
It’s Trigonometry and it’s hard.
Answers
Each base in this oblique prism is a right triangle.
What is the volume of the figure?
Answers
Answer:
66 cm³
Step-by-step explanation:
From the diagram,
Volume of the prism(v) = Area of the base (A)×Height(h)
v = A×h............... Equation 1
But,
A = bh/2.................... Equation 2
Where b = base of the triangle, h = height of the triangular base.
Substitute equation 2 into equation 1
v = (bh/2)H.................... Equation 3
Also for the diagram,
Given; b = 3 cm, h = 4 cm, H = 11 cm
Substitute these values into equation 3
v = (3×4×11)/2
v = 132/2
v = 66 cm³
HELP PLEASE ASAP TYSM GOD BLESS YOU AND YOUR FAMILY! 15 BRAINLY POINTS
Answers
Answer:
I'm not religious, but thank you anyways.
The upside down "T" mean perpendicular to.
Perpendicular:
per·pen·dic·u·lar
/ˌpərpənˈdikyələr/
adjective
1.
at an angle of 90° to a given line, plane, or surface.
___________________________________________________________
Since the question is asking you which one has two perpendicular lines, it can be assumed that the picture on the left is the answer, since that is the only of the two pictures that have lines what appear perpendicular.
You roll a 6-sided die. What is P(prime)? Write your answer as a percentage.
Answers
Answer:
50%
Step-by-step explanation:
n(s) = {1, 2, 3, 4, 5, 6} = 6
n(a) = {2, 3, 5} = 3
p(a) = n(a)/n(s) p(a) = 3/6 p(a) = ½ <==> 50%HELP ASAP DUE SOON! GIVING BRAINLIESTT!
Answers
Answer:
1. 40
2. 35.71
Step-by-step explanation:
using
pythagoras theorem
Which one is it ? NO LINKS
245
55
180
65
Answers
Answer:
245 is the best answer. I am right ta boy
Answer: 245
Step-by-step explanation:
60 + 120 + 65 = 245
Moosa's sister is six years younger than 3 times his age. The sum of their ages is 30. How old is Moosa?
Answers
Suppose Moosa is ( x ) years old ,
Thus Moosa's sister is ( 3x - 6 ) years old .
The sum of their ages is 30 :
( x ) + ( 3x - 6 ) = 30 ==》 4x - 6 = 30
==》 4x = 36
==》 x = 9
So Moosa is 9 years old .
What’s the answer it’s due in 15 mins
Answers
Answer:
Well Ima need the question buddy
Step-by-step explanation:
After all shrek can’t answer a question without a question.
v -10= -9
v= _____
explain how you do it.
Answers
Answer:
v = 1
Step-by-step explanation:
v -10= -9
Add 10 to each side
v -10+10= -9+10
v = 1
PLEASE HELP ME ILL GIVE 70 POINTS AND MARK BRAINLIEST
Answers
Answer:
7: 28x+4 6:20x+2
Write an equation and find missing angle . 6x ° and 30 °
Answers
6x+30=180
6×=180-30
×=150/6
×=25
6x=6×25=130
HELPP asap I’ll mark you as brainlister
Answers
Answer:
65.97
Step-by-step explanation:
Don't really know how to explain how to do this, but Omni Calculator is very helpful.
Hope that this helps!
Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that have the following solution sets:
One solution: x=15
Answers
Answer:
|x-15|=0
Step-by-step explanation:
Obviously.
Answer:
|x-15|=0
Step-by-step explanation:
Bill is a painter, who has been hired to paint a house.
• He receives an houry rate of $35 an hour.
• The materials Bill had to purchase cost $50 for the job.
• The amount of money Bill makes in profit, after working "x" hours, is modeled by the function:
f(x) = 352 – 50
Determine Bill's profit after working 10 hours.
Answers
Answer: 300
Step-by-step explanation: Math - 35X10-50
I may be wrong sorry!
Replace x with 10 in the given function.
We are seeking f(10).
f(10) = 35(10) - 50
f(10) = 350 - 50
f(10) = 300
After 10 hours, Bill's profit is $300.
What is 60% of 450?
60
75
240
270
Answers
Answer:
270
Step-by-step explanation:
450x60%= 270
OR
450x0.6=270
Answer:
Step-by-step explanation:
270