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
2. Write the congruence statement you are missing in order to prove the triangles are congruent for the given
reason.
Answers
A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.
We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.
So we are missing that sides MU and NU are congruent.
For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.
We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.
Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction blueprint for the ramp can be identified by the ordered pair (d, 4d), and another point on the ramp is identified by the ordered pair (3d, 5d). If d is not equal to zero, what will the slope of the handicap ramp be after construction is completed?
Answers
The slope of the handicap ramp is 1/2
The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).
m = (y₂ - y₁)/(x₂ - x₁)
Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).
Substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (5d - 4d)/(3d - d)
m = d/2d
m = 1/2
So, the slope of the handicap ramp is 1/2
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7x+20=7x+20
help asap
step by step please
Answers
Answer:
The given equation is true for all x.
Step-by-step explanation:
need helpi dont really get it to need help
Answers
Answer:
C
Step-by-step explanation:
There are 12 months in 1 year , then
3 lots of 4 months in 1 year and
3 × 3 = 9 lots of 4 months in 3 years
cost of lessons = $174 × 9 = $1566 → C
Tom finished 2/4 , of his math homework on the school bus. What percent did he finish on the
bus?
Answers
Answer:
50
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
2/4 = 1/2
1/2 = 0.5
0.5 = 50%
(Could explain slightly more but this should get the point across!)
A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor
Answers
Answer:
125 square tiles
Step-by-step explanation:
(800*10)/8^2=8000/64=125
does anyone like math in this world?
Answers
Answer:
i mean math is my second favorite subject
Step-by-step explanation:
Would you please help me solve for x it should be a degrees but I’m not sure what it is
Answers
Answer:
x=15º
Step-by-step explanation:
A triangle's angles add up to 180º.
∠A=30º
∠C=180º-45º
∠B=xº
To find ∠B we have to first find ∠C.
Since ∠C does not have an angle, knowing that a straight line is 180º we can subtract it from 45º to find ∠C.
180-45=135
∠C=135º
Now add ∠A and ∠C.
30+135=165
Subtract the sum from 180º
180-165=x
x=15º
Hope this helps :)
How to reduce decimals to fractions.
Answers
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Short response: the table shows the balance of a student bank account at various times estimate how much money is in the student bank account in week 6. justify your answer. HELP ME PLS.BRAINLIEST
Answers
Answer: It would be 102
Step-by-step explanation:
Please help me I need help with solving this equation worth 30 points
Answers
Answer:
1. -20
2. 27
3. 36
4. -200
At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.
Answers
Answer:
2/3
Step-by-step explanation:
4 cats / 6 dogs = 2/3
simplify by dividing by 2
2:3
2/3
Find the GCD (or HCF) of numerator and denominator. GCD of 6 and 4 is 2.
6 ÷ 24 ÷ 2.
Reduced fraction: 32. Therefore, 6/4 simplified to lowest terms is 3/2.
since you’re wanting cats to dogs, just flip it
Answer these questions
Answers
Answer:
y = 5
Step-by-step explanation:
first you subtract 5y from itself and from 7y
then you'll get: 2y + 2 < 12
then subtract the 2 from itself and from the 12
that will give you: 2y < 10
then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2
that'll give you y = 5
Point P has coordinates (-2.5,3). Point Q is a reflection of point P across the x-axis. What are the coordinates of the point Q? Which quardrant is it in?
Answers
Answer:
Q = (-2.5, -3), quadrant 3
Step-by-step explanation:
Reflection across the x-axis changes the sign of the y-coordinate.
Q = (-2.5, -3)
With two negative coordinates, point Q is in Quadrant III.
_____
Additional comment
Point P has a negative x-coordinate and a positive y-coordinate, so is located northwest of the origin in Quadrant II. The quadrant that is southwest of the origin is Quadrant III, which is where points in Quadrant II are reflected to when they are reflected across the x-axis.
If x= 4, find 6x- x^2.
Answers
Answer: 8
Step-by-step explanation: (6)(4)-4^2 24−4^2 24−16 8
The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.
Answers
Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
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math word problem: if jill takes a pill every 3 days and joe takes it every 4 for 65 days how many times will they take the pills together
Answers
Jill will have taken 21 in 65 days because 65 divided by 3 is 21.6666666667.
Joe will have taken 16 in 65 days because 65 divided by 4 is 16.25.
7. A value of n is substituted in each expression to get the number
in the box. Find each value of n.
a) 5n
30
b) 3n – 1 11
c) 4n + 7 15
d) 5n
11
e) 4 + on 40
f) 5 +1 5
---
Answers
Answer:
a. n=6
b. n = 4
c. n =2
d. n = 11 ÷ 5
e. n = 10
f. 20
Step-by-step explanation:
a. 5n = 30
n=30÷5
n=6
b. 3n-1 = 11
3n= 11 + 1
n = 12 ÷3
n=4
c. 4n + 7 = 15
4n = 15 - 7
n = 8 ÷ 4
n = 2
d. 5n = 11
n = 11 ÷ 5
e. 4 + n = 40
n = 40 - 4
n = 10
f. 5 + 15 = 20
Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?
Answers
Find the missing dimensions: Use the scale factor 1/4:3
Answers
Answer:
The answer is 1/4!
Step-by-step explanation:
I am stuck. The screenshot will explain
Answers
0.2+0.05=0.25
Multiply the second expression
0.2x0.05=0.010
Divide the results by each other
0.25/0.010
Get your answer
25
Hope this helps!
Question 7 of 10
If P(A) = 3/4, P(B)=1/2 , and P(AUB)=11/12 what is P(A n B)?
A. 1/3
B. 3/4
C. 3/8
D. 1/12
Answers
P(A n B) = P(A U B) - P(A) - P(B)
= 11/12 - 3/4 - 1/2
= (11 - 9 - 6)/12
= 4/12
= ⅓
The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other
Answers
Answer:
It should be A & D
Step-by-step explanation:
These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.
What’s the scale factor
Answers
Answer:
Step-by-step explanation:
The scale is depending on the size of each cat. Lets say the larger cat is A and the smaller one is B. The scale factor from B to A is 1.75 (or 3.5/2)
when solving for scale factor you divide the original drawing and scale drawing. Original is denominator, Scale is Numerator.
Corey concluded that the remainder of (3x3 + 8x2 - 4x - 3) + (x + 2) is 45.
What error did he make?
Answers
Answer:
-8
Step-by-step explanation:
3×3=9+
8×2=16=
(9+16_4×-3)+(×
Please help I don’t understand
Answers
Answer:
The value of x so f (x) = 7 is 5.
Step-by-step explanation:
Solve the giving equation 2x-4=24 what’s the first step.
Answers
Answer:
Solution,
or, 2x-4=24
or, 2x=24+4
or, 2x=28
or, 2×x=28
or, x=28÷2
or, x=14 (answer)
The solution of the equation is x = 14.
What is an equation?An equation is two algebraic expressions that have the same value and have the equal sign in between them.
We have the equation:
2x-4=24
Adding 4 to the both of side,
2x=24+4
2x=28
Divide by 2 on both side,
x=28÷2
x=14
Therefore, x = 14 is the solution of the equation.
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Which graph shows the lowest cost per square foot for a new home?
Answers
Answer:
the bottom right
Step-by-step explanation:
WILL MARK AS BRAINLIEST
Answers
Answer:
18.06
Step-by-step explanation:
7+6=13
34+38=72
13 IS 18.06 PERCENT OUT OF 72.
Answer:
Percentanges are factors so
41 Women + 44 Men = 85 shoppers
7 Women + 6 Men = 13 Online shoppers
13 out of 85 13/85 = 15% of total people surveyed shop online
Step-by-step explanation:
Hope this helps! BH
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answers
Answer:
1) 44.83 feet 2) 2352.3
Step-by-step explanation:
