Answer:
Step-by-step explanation:
hello :
the coordinates of the point on the unit circle at the given angle.-225°:
x= cos(-225°)= -√2/2
y = sin (-225°)= √2/2
The coordinates of the point on the unit circle at an angle -225°° are [tex](\frac{-\sqrt{2} }{2} , \frac{\sqrt{2}} {2} )[/tex].
What are coordinates of the point?" The coordinates of the point is defined as the pair of such points which represents the exact location of the point."
What is unit circle?" Unit circle means a circle with radius equals to 1unit."
Formula used
Equation of the circle with center (0, 0) and radius r
[tex]x^{2} +y^{2} =r^{2}[/tex]
Coordinates of the point on the circle (rcosθ , rsinθ)
cos(-θ) = cosθ
sin (-θ) = -sinθ
cos ([tex]\frac{3\pi }{2}[/tex] -θ) = -cosθ
sin ([tex]\frac{3\pi }{2}[/tex] -θ) = -sinθ
According to the question,
Given θ = -225°
Unit circle 'r' = 1
Therefore Coordinates are,
'x' coordinates represented by rcosθ
'y' coordinates represented by rsinθ
Substitute the value of r and θ in the coordinates of the point we get,
x = rcosθ
= 1 × cos (-225°)
= cos (225°)
= cos ( 270° - 45°)
[tex]=cos(\frac{3\pi }{2} -\frac{\pi }{4} )[/tex]
[tex]= - sin(\frac{\pi }{4}) \\= - \frac{1}{\sqrt{2} } \\=-\frac{\sqrt{2} }{2}[/tex]
y = rsinθ
= 1 × sin (-225°)
= -sin (225°)
= -sin ( 270° - 45°)
[tex]=-sin(\frac{3\pi }{2} -\frac{\pi }{4} )[/tex]
[tex]= -( - cos(\frac{\pi }{4})) \\= \frac{1}{\sqrt{2} } \\=\frac{\sqrt{2} }{2}[/tex]
Hence, coordinates of the point on the unit circle at an angle -225°° are [tex](\frac{-\sqrt{2} }{2} , \frac{\sqrt{2}} {2} )[/tex].
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PLEASE BE QUICK
Which point represents the fraction 3/6
A B C D
Answer:
C
Step-by-step explanation:
Answer: C
Out of 6 spaces on number line, C is the 3rd one
Solve this for c: 2x + y = 10,
4x + 2y = c
Write down the corresponding side and angles from given congruent triangles.
Answer:
Hope the pictures will help you...........
The product of two rational numbers is 6.If one of them is 8,find the other number.
With steps also please.
Answer:
0.75
Step-by-step explanation:
The "product" is a result of multiplication, so we know we are multiplying eight with something to get six. 0.75 is a rational number, and when multiplied by eight, gives six.
So, 0.75 * 8 = 6
The other number is 0.75
What quantity of parsley would you need to make a half recipe?
Answer:
7/16 of parsley
Step-by-step explanation:
What happens to the mode of the data set shown below if the number 8 is added to the data set?
12,8,13,9,10,10,15,14,13,6,40,11,15,15,8,7
A. There is no mode.
B. The mode will not change.
C. There will be two modes.
D. The mode increases by 6.
PLEASE HURRY
Answer:
d the mode increase by 8
Step-by-step explanation:
mode is affected due to change in origin by same constant value
Answer:
C
Step-by-step explanation:
There will be 2 modes because 15 and 8 would both repeat 3 times.
Will give points please help
Answer:
Part A
Step-by-step explanation:
Did test for flvs, brainliest please ;)
Pls help me get this. Right
Answer:
26 units
Step-by-step explanation:
so the horizontal distance between the two points is 24 units while the vertical distance is 10 units.
hence, we can use the pythagorean theorem to find the length of the diagonal.
the answer is equal to sqrt( 24^2 +10^2)
the answer is 26 units
also you should always remember that the diagonal is always greater in length than both the vertical and horizontal sides.
make sure to ask if you need any further guidance :)
The length and breadth of a rectangular piece of paper are 18 cm and 15 cm respectively. By how much should be length be reduced keeping breadth constant to make area equal to 134 cm².....
Answer:
Area of a rectangle = length x breadth
Given:
area = 134 cm²breadth = 15 cm⇒ 134 cm² = length x 15cm
⇒ length = 134 ÷ 15
= 8.93333333... cm
Reduction in length = original length - new length
= 18 cm - 8.93333333... cm
= 9.07 cm (nearest hundredth)
The distance around earth is 24,887 miles. How many kilometers is the distance around the earth.
Answer:
40051.744
Step-by-step explanation:
because im smart
[tex]1 \: mile = 1.60934 \: kilometers[/tex]
[tex]24887 \: miles = x \: kilometers[/tex]
[tex]x = 24887 \times 1.6934 [/tex]
[tex]x = 40 \: 051.65 \: kilometers[/tex]
In 2014, the average price of a new car was $37,600. For the period shown, new-car prices increased by approximately $1250 per year. If this trend continues, how many years after 2014 will the price of a new car average $46,350? In which year will this occur?
The year in which the average price of a new car would average $46,350 is 2021.
In which year would the price of a new car average $46,350?The price of a new car increases by $1250 per year. This is known as appreciation. The value of a new car can be represented with this equation:
Value of new car = value of the car now + (rate of increase x number of years)
Number of years = value of the new car - value of the car now) / rate of increase
(46350 - 37600) / 1250 = 7 years
7 + 2014 = 2021
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Find the area of the highlighted cubes.
Answer:
15 cm
Step-by-step explanation:
area stands for amount of space in certain spot therefore the answer would be 15
BRAINLIST PLEASE!
The top and bottom lines are parallel. What is the value of x?
35
+
80° IX
O A. 45
B. 105
OC. 100
OD. 65
Answer:
65
Step-by-step explanation:
A mountain road drops 5.2 m for every 22.5 m of the road. Calculate the angle at which the road is inclined to the horizontal.
Answer:
13°
Step-by-step explanation:
sin(Ф)= opposite/ hypothenuse
sin(Ф) = 5.2/22.5
Ф= sin∧-1 (5.2/22.5)
Ф= 13.36°
what is (1/8) to the power of 8
Answer:
5.96 when rounded to the nearest hundredth
Step-by-step explanation:
The area of a rectangle is 27x2+27x-30 square feet. The length of the rectangle is 9x– 6 feet. What is the width of the rectangle?
Divide the polynomials to get the 3x + 5
look at the number line below what point is marked on the number line
Answer:
-2.5
Step-by-step explanation:
The point is between -2 & -3
How many square yards are there in a floor which is 9 feet long by 21 feet wide?
Answer:
Step-by-step explanation:
Length of floor=9ft=3 yard
Breadth of floor=21ft=7 yard
Area of floor=lb=3×7=21yard²
I will mark brainlest
Answer:
option c
Step-by-step explanation:
-2,-1/4,1/4,0.5,4
I hope it helps you
During a basketball game a player makes 12 of 18 free throws attempted. Write the ratio as a fraction reduced to lowest terms
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
12 out of 18 free throws is also equal to the fraction [tex]\frac{12}{18}[/tex]. To simplify this fraction, we have to find out the greatest common factor (GCF) of 12 and 18. It turns out that the GCF of 12 and 18 is 6. So, we have to divide the fraction by 6 to reduce it to its lowest terms.
[tex]\frac{12}{18} /\frac{6}{6} =\frac{2}{3}[/tex]
I hope this helps! Have a lovely day!! :)
Brent plays three sports: basketball, baseball, and soccer. He calculated the mean absolute deviation of the points he scored in each season.
basketball: mean absolute deviation of 4.6
baseball: mean absolute deviation of 3.5
soccer: mean absolute deviation of 1.2
In which sport were his scores the most spread out?
baseball
soccer
basketball
Answer:
basketball
I hope this is useful
Answer: (C) Basketball
Step-by-step explanation: I took the test and that is the answer.
The mean for the data in the dot plot is 5. What is the absolute deviation for the data point at 7?
Answer:
The answer is 2. Hope this helps!
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
NOPQ is a rhombus. Given ON=110 and OQ=176. find each measure
Answer:
I cannot see the attachment
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS IF YOU DO THEN YOU GET REPORTED AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
BC=48
Step-by-step explanation:
BC=EF.
so x+37=4x+4
Move things over etc etc:
37=3x+4
33=3x
x=11
BC= x+37
If x=11 then BC= 11+37.
Easy function or not
Answer:
Problem 9: No
Problem 10: Yes
Step-by-step explanation:
Hello!
Problem 9:
This is NOT a function because one x-value has only one unique y-value. -2 is seen twice and the outputs, y, are given as 6 and 0.5. To be a function, each input has its own unique output. Two different inputs can have the same output.
Problem 10:
This IS a function, all inputs have unique outputs, and no repeating inputs are shown.
Terms:
x - values are also known as input, abscicca
y - values are also known as output, ordinate.
Find the surface area of the prism.
[tex]s \: a \: = (2 \times \frac{1}{2} \times 4 \times 6) + (3 \times 2 \times 5) \\ [/tex]
[tex]s \: a \: = 24 + 30[/tex]
[tex]s \: a \: = 54 \: \: {yd}^{2} [/tex]
Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.
Based on the results above, predict the number of times a 3 would be rolled it Stacy performs the experiment a total of 480 times
A. 63
B. 102
C. 87
D 141
Answer:
5/9
Step-by-step explanation:
Let the probability of getting a multiple of 3 is "A"
Let the probability of getting an even number is "B"
Total number of outcomes=36
Total number of favourable outcomes of either a multiple of 3 or an even number are
(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)
That is we have 20 favourable outcomes
Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=
total number of outcomes
favourable outcomes
Therefore, after substituting the values we get
probability=\frac{20}{36}probability=
36
20
After simplification we will get
probability=\frac{5}{9}probability=
9
5
is answer letter D.141
Write an equation of the
line that passes through
the given points (-3,-1)
(2, 2)
Answer:
[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]
Step-by-step explanation:
First, find the slope:
m = (change in y) / (change in x) = rise / run
m = (2 - (-1)) / (2 - (-3)) = (2 + 1) / (2 + 3) = 3/5
Then, write the equation of the line in point-slope form:
y - b = m(x - a) where (a, b) is a point on the line
y - 2 = (3/5)(x - 2)
Finally, solve for y:
[tex]y = \dfrac{3}{5}(x - 2) + 2[/tex]
[tex]y = \dfrac{3}{5}x - \dfrac{6}{5} + 2[/tex]
[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]
10 brainlies!!!!! help with this question
Answer:
ok
Step-by-step explanation:
Which numbers are perfect squares? Check all that apply.
1
2
16
18
32
44
94
100
Answer:
1, 16, 100
Step-by-step explanation:
Answer:
other persons right i took the test and got it right so 1, 16, and, 100
Step-by-step explanation: