Answer:
The answer is A Lma/o
Step-by-step explanation:
Enter the coordinates of the
point on the unit circle at the
given angle.
-135°
Type + or -
V2
[? ]
2
12
>
2
Answer:
It's just negative, just enter this sign -
Step-by-step explanation:
The coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]
What are coordinates of point on the circle?"The coordinates of any point on the circle [tex]x^{2}+ y^{2}= r^{2}[/tex] are [tex](r~cos\theta,r~sin\theta)[/tex]"
Formula of sin(A ± B)sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B)
Formula of cos(A - B)cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
For given question,
We need to find the coordinates of the point on the unit circle at an angle -135°
We know, for unit circle radius = 1
So, the coordinates of any point on the unit circle would be [tex](cos\theta, sin\theta)[/tex]
Here, [tex]\theta=-135^{\circ}[/tex]
Now, we find the the value of [tex]sin(-135^{\circ}),~cos(-135^{\circ})[/tex]
[tex]sin(-135^{\circ})\\\\=-sin(135^{\circ})\\\\=-sin(180^{\circ}-45^{\circ})\\\\=-[sin(180^{\circ})cos(45^{\circ})-cos(180^{\circ})sin(45^{\circ})]\\\\=-[0\times \frac{1}{\sqrt{2} }-(-1)\times \frac{1}{\sqrt{2} } ]\\\\=-(0+\frac{1}{\sqrt{2} } )\\\\=-\frac{1}{\sqrt{2} }\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }\\\\=-\frac{\sqrt{2} }{2}[/tex]
and cos(-135°) would be,
[tex]cos(-135^{\circ})\\\\=cos(135^{\circ})\\\\=cos(180^{\circ}-45^{\circ})\\\\=cos(180^{\circ})sin(45^{\circ})+sin(180^{\circ})sin(45^{\circ})\\\\=((-1)\times \frac{1}{\sqrt{2}} )+(0\times \frac{1}{\sqrt{2} }) \\\\=-\frac{1}{\sqrt{2} }+0\\\\ =-\frac{1}{\sqrt{2}}\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2}\times \sqrt{2}}\\\\=-\frac{\sqrt{2} }{2}[/tex]
Therefore, the coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]
Learn more about the coordinates of the point on the unit circle here:
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Anna mixed together 3 gallons of brand a orange juice in 2 gallons of brand b orange juice. Brand b orange juice contains 64% fruit juice. What is the percent of fruit juice in brand if the mixture contains 49% fruit juice? Above are the options
The circumference of a circle is 15π ft. What is the area, in square feet? Express your answer in terms of π.
Answer: Circle
Solve for area
A≈17.9
C Circumference
15
d
r
r
r
d
d
C
A
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=152
4·π≈17.90493
Step-by-step explanation:
Find the measure of the exterior 21.
45°
Ο Α. 10"
Β. 125°
C. 80'
D. 100°
Answer:
D. 100
Step-by-step explanation:
so, here is math problem. solve for information.
Answer:
Fre.e points im guessing?
Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?
Answer:
Step-by-step explanation:
−
7
<
−
1
2 i really need help plz
Answer:
I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.
Step-by-step explanation:
I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.
(Tell me the question if this is incorrect. Thanks!!!)
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Please answer for branliest
Answer:
50%
Step-by-step explanation:
There are 2 cards greater than 5 , that is 6 and 7 , then
P( greater than 5 ) = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] = 50%
2. Find the sum of the 7th term of the
geometric series. 3+1+1/3+ ...
How do I find it, must show work
Answer:
sum
In the given G.S., we have,
a
=
the
1
s
t
term
=
3
,
& the common ratio
r
=
−
6
3
=
−
2
Hence, the sum
S
n
of its first
n
terms is given by,
S
n
=
a
(
1
−
r
n
)
1
−
r
∴
The Reqd. Sum S_7
=
3
(
1
−
(
−
2
)
7
)
1
−
(
−
2
)
=
3
(
1
+
128
)
3
=
129
question number eight answer
Answer:
22 shots.
Step-by-step explanation:
90 shots times 24.6% = 22.14
He missed 22 shots.
Michiko bought pens for $3.85 and pencils for $1.25. How much did she spend all together
Answer:
$5.10
Step-by-step explanation:
$3.85+$1.25=$5.10
Answer:
If she only bought one pen and one pencil, $5.10
Step-by-step explanation:
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 163 people in the first group and this group will be administered the new drug. There are 160 people in the second group and this group wil be administered a placebo. After one year, 13% of the first group has a second episode and 14% of the second group has a second episode. Select a 90% confidence interval for the difference in true proportion of the two groups.
a) [0.00590, 0.0251].
b) [0.00690, 0.0551].
c) [0.0890, 0.0551].
d) [0.00690, 0.0351].
e) [0.00890, 0.0651].
Answer:
90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
First group: Sample of 163, 13% has a second episode.
This means that:
[tex]p_1 = 0.13, s_1 = \sqrt{\frac{0.13*0.87}{163}} = 0.026[/tex]
Second group: Sample of 160, 14% has a second episode
This means that:
[tex]p_2 = 0.14, s_2 = \sqrt{\frac{0.14*0.86}{160}} = 0.027[/tex]
Distribution of the difference:
[tex]p = p_1 - p_2 = 0.13 - 0.14 = -0.01[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.026^2+0.027^2} = 0.0375[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Lower bound:
[tex]p - 1.645s = -0.01 - 1.645*0.0375 = -0.0717[/tex]
Upper bound:
[tex]p + 1.645s = -0.01 + 1.645*0.0375 = 0.0517[/tex]
90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).
Solve for u. 2u-9= 25
Answer:
Hello! answer: u = 17
Step-by-step explanation:
answer is 17 because... 17 × 2 = 34 and 34 - 9 = 25 Hope that helps!
Answer:
u=17
Step-by-step explanation:
2u-9=25
2u=34
u=17
What is the length of the hypotenuse if a= 5 and b= 7
Answer:
[tex]\sqrt{74}\\[/tex]
Step-by-step explanation:
Use hypotenus formula
A^2+b^2=C^2
5^2+7^2=C^2
25+49=c^2
74=C^2
[tex]\sqrt{74}\\[/tex]
what is the measure of m
9514 1404 393
Answer:
m = 8
n = 4√3
Step-by-step explanation:
The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.
(12+4)/m = m/4
64 = m² . . . . multiply by 4m
8 = m . . . . . . square root
__
Likewise, the ratio of long side to short side is the same.
12/n = n/4
48 = n² . . . . . . multiply by 4n
4√3 = n . . . . . take the square root
_____
Additional comment
You may have noticed that the ratios of side lengths are ...
4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle
This means the unmarked side is 8√3.
__
We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.
Find the volume of a pyramid with a square base, where the area of the base is
12.2 m² and the height of the pyramid is 12.3 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
50.0 cm²
Step-by-step explanation:
Applying
Volume of a pyramid (V) = 1/3×Area of the base(A')×Heigth(H)
A= 1/3A'h.................... Equation 1
A' = Area of the base, h = height of the pyramid
From the question,
Given: A' = 12.2 m², h = 12.3 m
Substitute these values into equation 1
A = 1/3(12.2×12.3)
A = 50.02
A = 50.02 cm²
A = 50.0 cm²
Please Help ASAP
Find the expected value of the
random variable with the
following probability distribution:
0
1
2
3
4
5
6
7
8
P
.03
.15
.27
.20
.13
.10
.07
.03
.02
Answer:
3.1
Step-by-step explanation:
In order to solve for this expected value, you need to do:
(0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)
Meaning that it is:
0+.15+.54+.6+.52+.5+.42+.21+.16
Which equals to: 3.1
Also: Feel free to correct my answer by any means, I feel like I got some parts wrong.
Answer:
The answer is, 3.1
Step-by-step explanation:
Definition of probability distribution:A probability distribution is a statistical function that describes all of the potential values and probabilities for a random variable within a particular range.
To find this predicted value, you must do the following:[tex](0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)[/tex]
That is to say, it is:
[tex]0+.15+.54+.6+.52+.5+.42+.21+.16[/tex]
3.1 is the value of the random variable.
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Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)
Answer:
am i suppoesd to do number 7 as well?
Step-by-step explanation:
Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)
look at picture
The height of the balloon above the ground is 554 ft.
I have attached a diagram where i have divided the triangle shown into 2.From the attached image, the third angle in triangle 1 would be;
180 - (90 + 85) = 5°
The supplementary angle in triangle 2 to 85° in triangle 1 is;
180 - 85 = 95°(because supplementary angles add up to 180)
The third angle of triangle 2 is; 180 - (95 + 75) = 10°
If we label the shared slant side between the two triangles as z, the we can use sine rule to find z from triangle 2;100/sin10 = z/sin 75
z = 100(sin 75)/(sin 10)
Applying trigonometric ratio to triangle 1, we can find h as;h/z = sin 85
h = z sin 85
h = [100(sin 75)/(sin 10)] × sin 85
h ≈ 554 ft
Read more at; https://brainly.com/question/6241673
In PQR, the measure of R=90degrees, QP=53, RQ=45 and PR=28. What ratio represents the sine of P?
Step-by-step explanation:
sin(p) = opposite / hypontenuse = 45 / 53
Which two expressions are equivalent? B. A 4(2 + x) 4.2 +2.x 4 + 2 + x (4 + 2) + X D. C. 4. X + 2 4. (x + 2) 4 = (2-x) 4- 2 = X
What is the area of the region in the first quadrant bounded on the left by the graph of x=y4+y2 and on the right by the graph of x=5y ?
a)2.983
b)8.508
c)5005.880
d)5293.155
Answer:
2.983
I hope it is helpful to you
The area of the region in the first quadrant bounded on the left and right by the two given graphs is; A: 2.983
What is the area bounded by the graph?
We are given the equations;
x = y⁴ + y² ----(eq 1)
x = 5y ----(eq 2)
Now, let us put eq 1 into eq 2 to get;
y⁴ + y² = 5y
y⁴ + y² - 5y = 0
Using online roots of polynomial calculator, we have;
y = 0 and 1.516
Thus, the area of the region will be gotten by finding the integral between those two points;
[tex]\int\limits^0_\frac{1.516}{} {y^{4} + y^{2} - 5y} \, dy[/tex]
Integrating this, we have;
[tex]\left[\begin{array}{ccc}y^{4} +y^{2} - 5y\\\\\end{array}\right]^{0}_{1.516}[/tex]
Plugging in the relevant values and subtracting gives;
Area = 2.98276 ≈ 2.983
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PLS I NEED HELP FAST
Find the surface area of the cone.
Answer:
373.8
Step-by-step explanation:
Can someone help please
Slope : 3
y - intercept : -2
Equation : y = -3x-2
Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the first quartile?
Plzz help ASAP
Answer:
49.2
Step-by-step explanation:
A rectangular prism has a top face of 12 square feet and a height of 4 feet. What is the volume of this rectangular prism
Answer
i think it is 48.
Step-by-step explanation:
Which value from the set {1, 2, 9, 20} will make 4(3 + x) = 6x + 4x true
Answer:
2
Step-by-step explanation:
4(3+2) = 6(2)+4(2)
4(5) = 12 + 8
20=20
Answer:
2
Step-by-step explanation:
4(3+2)=20
6(2)+4(2)
12+8=20
so 2 is the answer i hope this answer helps you and solve the question if you don't know please use calculaotor this question you need to use substitution so substitute values from the set as x and try putting in to both equation to see both equation has same answer and matches
PLS ANSWER RN
Pierre is making a mural. He wants to cut a piece of tile to fit in between two others. He knows that one angle has to be 46°. What must m
A. 23
B. 24
C. 67
D. 134
For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged
In ΔQRS, q = 890 cm, s = 810 cm and ∠S=120°. Find all possible values of ∠Q, to the nearest degree.
Answer: no possible triangles
Step-by-step explanation:
PlS help lots of points