Answers
Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)
[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y
Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].
From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.
-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.
Related Questions
Factorise. 5a² - 10a
Answers
Answer:
5a (a -2)
Step-by-step explanation:
Hey there,
Here, you have to get the common factors out from the brackets.
According to this question,
a and 5 are the common factors.
Therefore, you can write the answer like this,
5a² - 10a
5a (a -2)
Hope this helps you.
Let me know if you have any other questions :-)
A pancake recipe calls for 4 cups of flour and 3 cups of milk. Does a recipe calling for 2 cups of flour and 1.5 cups of milk use the same ratio of flour to milk?
Answers
Answer:
I think the answer is Yes
Step-by-step explanation:
For example, 2 cups of flour can equal 4 cups of flour by multiplying by two. So 1.5 cups of milk, you multiply by two and it is equivalent to 3 cups of milk. So in the end, it is equal and it's basically half of the pancake recipe. Hope it helps!
Definition: The points where a graph intersects the x-axis are called it’s __.
Answers
Answer:
zeroes or x-intercepts
Step-by-step explanation:
Evaluate [tex]\frac{bd}{a}[/tex] + c if a=−2a=-2 , b=3b=3 , c=−12c=-12 , and d=−4
Answers
Answer:
{a,c,d,b} = {49/16,29/16,2,-31/48}
Step-by-step explanation:
[1] 3a + c - 4d = 3
[2] -4a + 4c + d = -3
[3] -a - 2d + 3b = -9
[4] - d = -2
// Solve equation [4] for the variable d
[4] d = 2
// Plug this in for variable d in equation [1]
[1] 3a + c - 4•(2) = 3
[1] 3a + c = 11
// Plug this in for variable d in equation [2]
[2] -4a + 4c + (2) = -3
[2] -4a + 4c = -5
// Plug this in for variable d in equation [3]
[3] -a - 2•(2) + 3b = -9
[3] -a + 3b = -5
// Solve equation [1] for the variable c
[1] c = -3a + 11
// Plug this in for variable c in equation [2]
[2] -4a + 4•(-3a+11) = -5
[2] -16a = -49
// Solve equation [2] for the variable a
[2] 16a = 49
[2] a = 49/16
// Plug this in for variable a in equation [3]
[3] -(49/16) + 3b = -5
[3] 3b = -31/16
[3] 48b = -31
// Solve equation [3] for the variable b
[3] 48b = - 31
[3] b = - 31/48
// By now we know this much :
a = 49/16
c = -3a+11
d = 2
b = -31/48
// Use the a value to solve for c
c = -3(49/16)+11 = 29/16
Step-by-step explanation:
so bd/a+c= 3×(-4)/-2 +(-12)= -12/-2+(-12)=6+(-12)=6-12=-6
so the answer is -6
whats the correct label
Is it Negative slope
Is it 0
Is it Positive slope
Answers
Answer:
1) Positive slope
2) Negative slope
3) 0 slope
Step-by-step explanation:
1) This is a positive slope. As x increases, y increases.
2) This is a negative slope. As x increases, y decreases.
3) This is a 0 slope. As x increases, y stays the same.
Answer:
First one is positive
Second one is negative
Last one is zero
Step-by-step explanation:
what is the answer??????
Answers
Answer:
15 percent
Step-by-step explanation:
Subtract -2x² from the sum of 4x² and 15x².
Answers
Answer:
Step-by-step explanation:
(4x²+15x²)-(-2x²)=19x²+2x²=21x²
Answer:
[tex]21x^{2}[/tex]
Step-by-step explanation:
[tex]4x^{2} +15x^{2} --2x^{2}[/tex]
[tex]4x^{2} +15x^{2} +2x^{2}[/tex]...........2 negatives signs next to each make a positive
[tex]21x^{2}[/tex].................................combine like terms
simplify this addition 20+(-6x)+6x+(-20)
Answers
Answer:
0
Step-by-step explanation:
20+(-6x)+6x+(-20)=20-6x+6x-20
=0
Quadrilateral ABCD is rotated 90 dockwise and the result is quadrilateral PQRS.
Which of the following sides on Quadrilateral PQRS is congruent to side AB on Quadrilateral ABCD-
А side PQ
B
side QR
С
side RS
D
side SP
Answers
What is 5/6 of 78kg?
Answers
write an Algebraic expression for 3 times X squared minus 4 times X
Answers
Answer:
3x2 - 4x
Step-by-step explanation:
this is the algebric expression
Of course, if you are writing this down, just square the x
Of the 40 pencils in the box 30 of them don’t have an eraser what percent of the pencils do not have a eraser
Answers
Answer:
75%
Step-by-step explanation:
solve the simultaneous equation y+1=2x y^2=3x-2
Answers
[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]
[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]
I need help with this! Please asap
Answers
Answer:
1:Not
2:Not
3:Not
4:Not
5:Viable
6:Viable
7:Viable
8:Viable
9:Viable
10:Not
Step-by-step explanation:
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answers
Answer:
1) 44.83 feet 2) 2352.3
Step-by-step explanation:
Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
Answers
Answer:
The perimeter of the tabletop is 152 inches
Step-by-step explanation:
So if P = 2L + 2W we have to do
(2*48) + (2*28)
So
96 + 56 = 152
what the answer to 1024/32
Answers
Answer:
32
Step-by-step explanation:
2.
Find the slope of the line that passes through the points (4,2) and (4,10)
Answers
Answer:
The slope is unidentified
Step-by-step explanation:
The equation of the line is x=4
the difference of the square of two consecutive numbers is 19. If one number is 10, what is the other number?
a)12 . b)11 . c)9 . d)8.
If you can answer correctly and explain properly the methods.
I try to mark it as the brainiest.
Answers
Answer:
c
Step-by-step explanation:
10^2 - 9^2 = 100 - 81 = 19
Not gonna answer it tho someone already did
Maria decides to reduce her homework time of 8 hours per week by 15%. Calculate her new homework time. Give your answer in hours and minutes. ..
Answers
6 hours and 48 minutes
What numbers can be used instead to x for this equation to remain the same -x>2
Answers
Answer:
2x + 1 = 11.
2x + 1 - 1 = 11 - 1 (subtracting both sides by the same number)
2x = 10.
2x/2 = 10/2 (dividing both sides of the equation by the same number)
x = 5.
Step-by-step explanation:
hope it helps
What series of transformation will not map figure H onto itself
Answers
Answer:
D
Step-by-step explanation:
Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)
Consider option D.
1st transformation will map vertices of the square into points
....2nd transformation = reflection over y = -x + 2 will map vertices into points ....These points are not the vertices of the initial square.
I hope it helps.
GUYS I NEED HELP PLZZZ ILL GIVE BRAINLIEST!
Deondra has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12?
Answers
No equation really.
I guess she could just by 2 lb green grapes and 3 lb red grapes.
Maybe because I didn't understand the question completely.
Which fractions are equivalent to 1/5?
Select each correct answer.
2/8
2/10
20/100
3/12
Answers
Answer:
2/10&20/100
Step-by-step explanation
hope it helps
please mark brainliest
why is the square root of 25 a rational number?
Answers
Answer:
Because √25 = 5 and 5 can be written in the form of a fraction 5/1.
Step-by-step explanation:
It proves that √25 is rational.
Answer:
the square toot of 25 is = 5
Step-by-step explanation:
therefore
5√5
= 25
√25 is equal to 5
= 5
i hope it helps
Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answers
Answer: First bag unit price: 1.78
second bag unit price : 1.83
Step-by-step explanation:
divide the price by the weight. First bag is better
There are 11 counters in a bag.
8 of the counters are green.
3 of the counters are blue.
Sid takes at random two counters from the bag.
Work out the probability that Sid takes one counter of each colour.
Answers
Answer:
For a green and a blue P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218
For a blue and a green P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218
The probabilities are the same
The probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.
What is an additional rule of probability?When two events P(A) and P(B) occurs one time in an event of which occurs two times. Then the probability of occurring exactly one time both events is,
[tex]P=P(A)\times P(B)+P(B)\times P(A)[/tex]
There are 11 counters in a bag. In which,
8 of the counters are green.3 of the counters are blue.Sid takes at random two counters from the bag. Probability that Sid takes green counter is,
[tex]P(A)=\dfrac{8}{11}[/tex]
The probability that Sid takes blue counter is,
[tex]P(A)=\dfrac{3}{11}[/tex]
The probability that Sid takes one counter of each color is,
[tex]P=\dfrac{8}{11}\times\dfrac{3}{11}+\dfrac{3}{11}\times\dfrac{8}{11}\\P=\dfrac{24}{121}+\dfrac{24}{121}\\P=\dfrac{48}{121}[/tex]
Thus, the probability that Sid takes one counter of each color green and blue from the 11 counters in a bag is 48/121.
Learn more about the probability here;
https://brainly.com/question/24756209
#SPJ2
Ania has read 3/5 of a book. She has read 60 pages so far. How many pages are in thewhole book?
Answers
Answer:
100
Step-by-step explanation:
hope this helps!!!!!!
The interval (-1, 1) is best described as
Answers
Answer: There's an increasing interval between -1 and 1
While x goes from -1 to 1, the value of y increases (from -2 to 2).
What is the the cube root of 310 to the nearest integer
Answers
Answer:
6.7679
Please mark this brainiest?
Step-by-step explanation:
Cube root of 310 can be represented as 3√310. The value of cube root of one is 310.The nearest previous perfect cube is 216 and the nearest next perfect cube is 343 .
Answer:
the cube too of 310 is 7
Step-by-step explanation:
as cube root of 310 is 6.76