Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
0 = 7pi/6
Answers
Answer:
Answer is B: (-sqrt(3/2 , -1/2)
Step-by-step explanation:
First convert radians to degrees
theta = (7pi/6)*(180/pi)
=210 degrees
Cos(210 degrees)= -sqrt3/2
Thats the x coordinate
sin(210 degrees)= -1/2
thats the y coordinate
Answer:
The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]
Step-by-step explanation:
What is unit circle?
A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.
What is radian measure?
One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.
The radian measure is,
α=[tex]\frac{7\pi }{8}[/tex]
Changing to degree measure,
[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]
The measure on the unit circle is,
(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)
=[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]
Option A.
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Related Questions
) Factorize fully
1. 2x^2yz-32x^2y^3z
Answers
Answer:
2x²yz(1 - 4y)(1 + 4y)
Step-by-step explanation:
Given
2x²yz - 32x²y³z ← factor out 2x²yz from each term
= 2x²yz(1 - 16y²) ← difference of squares
= 2x²yz(1 - 4y)(1 + 4y)
A pizza with a diameter of 13 inches is cu to to 12 equal slices.
Answers
Jayden 44.2433333 inches squared
Carson 55.3041665 inches squared
Step-by-step explanation:
Kaylee's gross income is $3,200 per month. Of this amount 25% is taken out for taxes and other required deductions. How much is her take home pay?
Answers
Answer: [tex]\$2400[/tex]
Step-by-step explanation:
Given
Kaylee's gross income is [tex]\$32,000\text{per month}[/tex]
[tex]25\%[/tex] is taken out for taxes and other required deduction
left amount is
[tex]\Rightarrow 3200-25\%\times 3200\\\Rightarrow 3200(1-0.25)=\$2400[/tex]
So, her take-home pay is [tex]\$2400[/tex]
7/6 written as a mixed number
Answers
Answer:
1 1/6
Step-by-step explanation:
A mixed number is a proper fraction.
Answer:
[tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
We are given the fraction of [tex]\frac{7}{6}[/tex].
There are enough parts to make one whole, with one remaining.
Six sixths for the whole, the fraction would be one-sixth.
[tex]\frac{7}{6}=1\frac{1}{6}[/tex]
Hope this helps.
Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Answers
f(x) = x2
f'(x) = 2x
g(x) = 1000x2
g'(x) = 2000x
f'(x) ≠ g'(x)
f(x) and g(x) DO NOT grow at the same rate.
Answer:
You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing. The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate
Step-by-step explanation:
17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I
Answers
Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?
Answers
Answer:
4.2
Step-by-step explanation:
took a bullet for the team
Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.
from the formula of compound interest
A = P(1 + r/n) ^nt
in our case,
A =670
P = 480
t = 8
Thus,
670 = 480(1 + r)^8
r = 4.25%
Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670
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70/5.2 + 16-1 helppppp
Answers
Answer:
28.4615384615
28.46
Step-by-step explanation:
Answer:
28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.
Step-by-step explanation:
What is the image of (-4,-4) after a dilation by a scale factor of 3 centered at the
origin?
Answers
Answer:
(-12, -12)
Step-by-step explanation:
Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.
-4×3=-12
Hope this helps!!
5.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.
Answers
Answer:
B
Step-by-step explanation:
75 divided by 3 = 25
so 25 dollars each day
Answer:
B. 25/1 dollars per day; the cost is $25 for each day.
Step-by-step explanation:
What is the definition of the slope of a line?
Answers
Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2
A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4
Answers
9514 1404 393
Answer:
B. x^4/4
Step-by-step explanation:
[tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answers
Answer:
In the first one answer is r²
In second one answer is 3
Step-by-step explanation:
Yes it is Algebra with different powers
In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r
Like terms are added:
6r^4- 2r^4 + 4r + 3r +____ = 4r^4 + r2+ 7r
4r^4+7r +___ = 4r^4 + r^2 + 7r
Therefore ___ = r^2
In second one:
(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10
Open the brackets
__ -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10
Add like terms
__ -14x -5x^2 + 7= -5x^2 +14x +10
Therefore
___ + 7 = 10
___ = 10 -7 = 3
what is summer academy help fr fr ☝️
Answers
Answer:
Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the absolute maximum or minimum of f(x) = 3x^2-5x-9
Answers
Answer:
Absolute minimum / vertex = (5/6,-133/12)
Step-by-step explanation:
Since a is positive, then the absolute maximum is ∞. The absolute minimum would be the vertex of the parabola, meaning x=-b/2a=-(-5)/2(3)=5/6, and y=3(5/6)^2-5(5/6)-9 = -133/12. Therefore, your absolute minimum / vertex is (5/6,-133/12)
What is the advantage of valence number?
Answers
Answer:
The presence of many unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take participate in the formation of chemical bonds as per the valence bond theory.
HELP PLSSSSSSS
NO LINKS
Answers
Answer:
Is there anything else to this like a description or a sentence?
Step-by-step explanation:
Sorry I need more than this
Find the area of the circle from the given diameter.
d= 4 ft
a 11.4 ft2
b 12.56 ft2
C 10.81 ft2
d 14.98 ft2
Answers
Answer:
B is our answer 12.56
When finding area for circles we do
radius x radius x pi
Since we don't have the radius in the problem we have to figure it out but it wont be so hard knowing that the radius is half of the diameter so 4 ÷ 2 = 2 so 2 is our radius now we need tp square it in easier words multiply by itself so
2 x 2 = 4 then we just do 4 x pi!
So 4 x 3.14 = 12.56 So our answer is 12.56
Hope this helps!
solve for x and y x+y=a;x-y=b
Answers
Answer:
x = a + b - a/ 2
y = - b - a/ 2
Step-by-step explanation:
Plz help i have been asking this question too much
Answers
Answer:
6
Step-by-step explanation:
1/6 of 36 is 6
2/3 of 36 is 24
6+24=30
36-30=6
<3
Answer:
if u search your question on brainly you'll see alot of answers! here is one of them!!!
im quite behind and i dont know how to do this.. thank you
Answers
Answer:
455 ( I think )
Step-by-step explanation:
Lets start with the red shape.
The triangle on top is 5x3, and the equation for a triangle is base•height•1/2
So each triangle equals 7.5, as 15/2=7.5. Remember there are 2 triangles so the total of both triangles is 15.
The front side of the red shape is 6x5, which equals 30.
Same with the back.
The side though, is 3x6, which equals 18.
So 15 (both triangles)+60 (the front and back of the shape)+18 (the side)= 93
The red shape is 93 inches cubed.
The green shape is a rectangular prism.
The sides, are both 3x7, which equals 21. Remember there are 2 sides so together they equal 42.
The next part is 3x16= 48. There are 2 of these so it equals 96.
The top and bottom is 7x16=112, which is 224.
42 (sides) + 96 (front and back) + 224 (top and bottom)= 362
The green shape is 362 inches cubed.
362+93=455 inches cubed as a total
(I think)
help and pls get it right
Answers
Answer:
V= 32Step-by-step explanation:
Multiply all lengths and the answer will be your volume.
2 x 2 x 8 = 32
Answer:
32 in ^3
Step-by-step explanation:
Is x+y is an algebraic expression?
1. Yes
2. No
3. Cannot be identified
4. None of these
I will mark the brainiest for the correct answer!!
Answers
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answers
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft
Answers
High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given trigonometric function is y=23-5cos(πt/6).
The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.
To find the high and low tide depths, we need to find the maximum and minimum values of y.
The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.
The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.
To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.
When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.
When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.
Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.
Therefore, option B is the correct answer.
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Find the lateral surface area of the prism. 1.5ft 3ft 4ft
Answers
Answer:
ammmm walang lumabas
Step-by-step explanation:
sorry talaga po sa susunod nalang
PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss
Answers
Answer:
Complementary angles sum to 90°
x + 73° = 90°x = 90° - 73°x = 17°30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?
Answers
Explanation: Multiply 30%, or 0.3, by 90. That will find your answer. Hope this helps!
Answer:
27
Step-by-step explanation:
Multiply 90 by 0.3 and you have your answer
Suppose that an individual has a body fat percentage of 13.6% and weighs 189 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
HELPPPPPP!!!!!!!!!!
Answers
Answer:
25.7 lbs
Step-by-step explanation:
189/100=1.89
1.89*13.6=25.704
25.7 lbs
Answer:
25.7
Step-by-step explanation:
You need to do 13.6 percent of 189 which is 25.704 without rounding
Round that to the nearest tenth and you have 25.7
Hope I helped :)
HELP ME NOWWWWWW. thanks.
Answers
Answer:
LETTER C. PO 40 ang sagot
