Encontrar las coordenadas en el círculo trigonométrico para los segmentos de recta cuyo ángulo tienen un valor de α = 45°
a) (√3/2, 1/2)
b) (√2/2, 2/2)
c) 1,0
d) 0,1
Answers
The coordinates of E is (1/√2,1/√2). Furthermore, none of the alternatives provided are correct.
The question is in Spanish and the question doesn't have the correct option. The English translation is as follows.
Find the coordinates on the unit circle for the line segments whose angle has a value of α=45°.
What is a unit circle?A circle with a radius of 1 unit is called a unit circle.
How to solve the problem?The given line is making α=45° with the x-axis and intersects the unit circle at E. Make a perpendicular passing through then we get a right-triangle AEG (as shown in the below figure)
To find the coordinates of E we need to find the lengths EG and AG.
We know that in the right-triangle
AG=AEcos²45° and
EG=AEsin²45°
But AE=1 unit and cos45°=sin45°=(1/√2).
Hence, the coordinates of E are (1/√2,1/√2).
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Related Questions
Can u guys pls help me on this question and pls explain how u got the answer
Answers
Answer:
Surface area : 143.1
Step-by-step explanation:
Ok so first,
Bottom : 35.1 ft
Front : 36
Right side : 36
Left side : 36
I'm 3 times younger than my mom but 3 times older than my younger brother. Mom is older than my younger brother by 40 years. how old am I?
Answers
Given:
I'm 3 times younger than my mom but 3 times older than my younger brother.
Mom is older than my younger brother by 40 years.
To find:
How old am I.
Solution:
Let x be the age of the younger brother.
I'm 3 times older than my younger brother. So, my age is 3x.
I'm 3 times younger than my mom. So, she is 3 times older than me and her are is 3(3x)=9x.
The difference between the age mother and younger brother is 40 years.
[tex]9x-x=40[/tex]
[tex]8x=40[/tex]
Divide both sides by 8.
[tex]x=\dfrac{40}{8}[/tex]
[tex]x=5[/tex]
Now,
My age [tex]=3x[/tex]
[tex]=3(5)[/tex]
[tex]=15[/tex]
Therefore, I'm 15 years old.
is (24, 7, 25) a Pythagorean triple?
Answers
is (24, 7, 25) a Pythagorean triple?
Step-by-step explanation:
No
I NEED HELP PLS I FORGOT HOW TO DO THIS HELP
Answers
Answer:
Step-by-step explanation:
how many shapes of size A are in B ?
I counted 9.5
then just multiply the count * the size of A
got it?
Step-by-step explanation:
area of shape A = 3cm²
number of A shape in shape B = 9 and half
1 shape A = 3cm²
9 shape A = 3×9 = 27cm²
1 half shape A = 3 ÷ 2 = 1.5cm²
area of shape B = 27cm² + 1.5cm² = 28.5cm²
_____________________Follow meQuinn is trying to drink more water, so he has been keeping a log of how much water he
drinks. Quinn drank 30 ounces of water two days ago. Yesterday, he drank 20% less. How
much water did he drink yesterday?
Answers
30 ÷ 100 = 0.3
0.3 Is 1%
0.3 x 20 = 6
6 Is 20%
30 - 6 = 24
24 Ounces
What is the value of x in the equation –2.4x = 8.4? –20.16 –3.5 3.5 20.16
Answers
Answer: it’s 3.5
Step-by-step explanation:
In a survey at a local university, 38% of students say that they get less than the recommended eight hours of sleep per night in a group of 4500 students, how many would you expect get eight or more hours of sleep per night?
Answers
Answer:
2790
Step-by-step explanation:
38/100 * 4500 = 1710 get less than eight hours of sleep
4500 - 1710 = 2790 students
HELP!!!!! Help plz thx
Answers
ON/12=15/20
ON=(12*15)/20
ON=9
Which figure shows a reflection of pre-image QRS over the line t?
1
2
or 3
Answers
Answer:
1
Step-by-step explanation:
PLEASE HELP PLEASEEEEEEEEEEEEEE
Answers
Answer:
Using PEMDAS, the answer is 6
Step-by-step explanation:
16 divided by 4 is 4
4 times 3 is 12
12-6 equals 6
This is correct using PEMDAS
Brainliest?
10. In how many ways can a student select 7 out of 10 questions to work on an exam
Answers
Answer:
Step-by-step explanation:
7C10 = 10!/(7!)(10-7)!
7C10 = 10!/(7!)(3!)
7C10 = (10 x 9 x 8 x 7)/(7 x 6 x 5)(6)
7C10 = (10 x 9 x 8)/6
7C10 = 720/6
7C10 = 120
Answer: 120 ways
Kieran buys a car for $8000
The following year he sells the car for $7500
Find the percentage loss.
Answers
Answer:
6.25% I think
Step-by-step explanation:
If Kiara sells car at $7500 and it is of $8000 then she is having a loss of 6.25%.
What is percentage?A percentage is the number or ratio which is expressed as a fraction of 100.
How to calculate percentage?We have been given the buying value=$8000
Selling value=$7500
Loss=Buying value- selling value
=8000-7500
=$500
Percentage of loss=loss/ buying value*100
=500/8000*100
=6.25%
If we want to check our answer then we can multiply our percentage with the buying value.
=8000*6.25%
=500
Hence if Kiara sells car at $7500 and it is of $8000 then she is having a loss of 6.25%.
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between t=10 and t=60 the acceleration is 0.4 calculate the speed when t=60
Answers
Answer:
i dont understand
Step-by-step explanation:
a triangle has angles that measure 85 degrees and 37 degrees what is the measure of the third angle
Answers
Answer:
58
Step-by-step explanation:
Answer:
58 degrees
Step-by-step explanation:
180-85-37 = 58
Find the space inside a rectangle with a width of 8 and a length of 15.
Answers
Answer:
120
Step-by-step explanation:
A=LxH
So 15x8=120
how do i do slope-intercepts
Answers
Answer:
To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
Step-by-step explanation:
Katie received a speeding ticket that incurred a $125 fine. After one month, she will also
be charged late fees for every month that she is delinquent. The amount she pays is
modeled by an exponential function, and the following table reflects the amount she will
have to pay each month.
Month Paid
Amount Paid
$125
1
2
3
$137.50
$151.25
$166.38
4
a. Write a function that models the fine Katie will pay in terms of the month it is paid. (5
points)
b. Using your function, predict how much Katie will pay if she waits until month 12 to pay
her fine. (5 points)
Answers
Answer:
Try A
Step-by-step explanation:
an atom with 16 electrons must have how many shells? 
Answers
Answer:
3 shells
Step-by-step explanation:
1st shell: 2 electrons
2nd shell: 8 electrons
3rd shell: 6 electrons
It is possible for a system of linear equations to have exactly 2 solutions.
Answers
Answer:
Number of Solutions
Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions.) The word unique in this context means there is a solution, and it's the only one.
Step-by-step explanation:
Hope it helps!
find the vertexform (x)=x2-12x+36
Answers
Answer:
Vertex form pf y = x^2 + 12x + 36.
Step-by-step explanation:
y = (x + 6)^2
x-coordinate of vertex:
(x + 6) = 0--> x = - 6
y-coordinate of vertex: y = y(-6) = 36 - 72 + 36 = 0
Vertex form: y = (x + 6)^2
Answer:
2
Step-by-step explanation:
X=x 2-12x+36
X+X+12x=38
14x=38
X=38/14
X=2
Mai’s pencil is 24 cm long. She sharpens it, and it loses 1/8 of its length. How long is her pencil now?
Answers
Answer:
It is 21 cm long
Step-by-step explanation:
1/8 of 24 is 3, so you would subtract 3 from 24. 3*8=24.
what is the equation of the graph in slope-intercept form?
Answers
Have a great day!
In one city, the ratio of households with pets to
households without pets is 30 to 29. If 20,735 households
do not have pets, how many households have pets?
A 21.450
B 42,185
C 40,779
D 20.044
Answers
Answer:
40,779
Step-by-step explanation:
i took the k12 test
x^2 y^2/a^2 - 16/a^2b^2
Answers
Answer:
do by yourself don't know anything
Step-by-step explanation:
determine the value of x if the sequence 2x-1; 3x+1; 7x-1; is a geometric sequence
Answers
Answer:
x=0 or x=3
Step-by-step explanation:
Since it is a geometric sequence, that means term divided by previous term is the same number. Let's call that number, r.
That means we have:
(3x+1)/(2x-1)=r
(7x-1)/(3x+1)=r
Since both of the ratios are the same, then we have
(3x+1)/(2x-1)=(7x-1)/(3x+1)
Cross multiply:
(3x+1)(3x+1)=(2x-1)(7x-1)
Distribute:
9x^2+3x+3x+1=14x^2-2x-7x+1
Combine like terms:
9x^2+6x+1=14x^2-9x+1
Subtract 1 on both sides:
9x^2+6x=14x^2-9x
Subtract 14x^2 on both sides
Add 9x on both sides
-5x^2+15x=0
Factor -5x:
-5x(x-3)=0
-5x=0 when x=0 since -5(0)=0
x-3=0 when x=3 since 3-3=0
is 3/4 equivalent to 27/36
Answers
Answer:
yes , 27/36=3*9/4*9=3/4 both the number 27 and 36 can be multiplied by 9 and can be reduced to its lowest form i.e.
The girls' swim team is hosting a fund raiser. They would like to raise at least $500 . They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items. Write a system of inequalities that models what is going on in this problem. Graph it and find a solution.
Answers
Answer:
x: # of candles
y: # of flower arrangements
Inequality 1: x + y ≤ 200
Inequality 2: 5x + 6y ≥ $500
Step-by-step explanation:
Determine which statement or statements are true. texts sent = 8 ; calls made = 5 For every 5 texts sent there were 8 calls made The ratio of texts sent to calls made was 8:5 For every 5 calls made there were 8 texts sent The ratio of texts sent to calls made was 5:8
Answers
Answer:
The ratio of texts sent to calls made was 8:5
For every 5 calls made there were 8 texts sent
Answer:
For every 8 calls made there were 2 texts sent.
And
For every 2 texts sent there were 8 calls made.
Find the missing side or angle.
Round to the nearest tenth.
A=98°
b=11
c=19
a=[?]
Answers
Answer:
your answer will be a= 23.2
Step-by-step explanation:
hope this helps u have a great day ^_^
Answer:
A= 23.2
Step-by-step explanation:
[tex]a^2=b^2+c^2-2bc CosA[/tex]
[tex]a^2=11^2+19^2-2(11)(19)Cos 98[/tex]
[tex]a^2=121+361-418cos98[/tex]
[tex]a^2=121+361-(-58.17)[/tex]
[tex]\sqrt{a^2} =\sqrt{540.17}[/tex]
[tex]a=23.2[/tex]
[tex]-----------[/tex]
hope it helps..
have a great day!!
Does 3/10 x 1/2 = 3/20 ?
Answers
Answer:
Yes
Step-by-step explanation:
yes, yes it does