Corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]
So, option C. is correct.
Define unit circle.A unit circle is a circle with radius is equal to one.
Any point on a unit circle is of the form [tex]\boldsymbol{\left ( cos\, \theta, \sin\, \theta \right )}[/tex]
Value of [tex]\theta[/tex] is [tex]\boldsymbol{\frac{7\pi}{6}}[/tex]
So, corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]}[/tex]
[tex]\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]=\left [\cos \left (\pi + \frac{\pi}{6} \right ),\sin \left (\pi + \frac{\pi}{6} \right ) \right ][/tex]
[tex]=\left [ -cos\left ( \frac{\pi}{6} \right ),-\sin\left ( \frac{\pi}{6} \right ) \right ]\\=\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]
So, option C. is correct.
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A ladder 13 feet long leans against a building. The bottom of the ladder is 5 feet away from the base of the building.How far up the side of the building does the ladder reach?5
Answer:
12 ft
Step-by-step explanation:
Gasoline costs $3.37 per gallon. Mary's father puts 9i gallons in the tank of his car. How much will the gasoline cost?
9 gallons of gasoline would cost 30.33
9 x 3.37=30.33 you just have to multiply the gas by the gallons and then that will give you your answer
hey guys, i want to ask, is it different between (x-6) and ( 6-x ). pls ASAP
Answer:
Yes.
Step-by-step explanation:
Let's use 5 for example as "x". 5-6 is -1 and 6-5 is 1. So yes, it does change. It is different.
Use the Rational Root theorem to determine the factors of x^3 - 2x^2 - 13x - 10 given that one factor is (x + 1)
Answer:
The correct option is;
D. (x - 5)·(x + 2)·(x + 1)
Step-by-step explanation:
The Rational Root theorem is expressed mathematically as follows;
[tex]Possible \ rational \ roots = \dfrac{Factors \ of \ the \ constant \ term}{Factors \ of \ the \ leading \ coefficient}[/tex]
The given polynomial is presented as follows;
x³ - 2·x² - 13·x - 10
A factor of the polynomial = (x + 1)
The factors of the constant term, -10 = -10, -5, -2, -1, 10, 5, 2, and 1
The factors of the leading coefficient, (the coefficient of the variable having the highest degree or power, x³) = 1
Given that (x + 1) is a known factor, the other two factors are either (x + 5) and (x - 2) or (x - 5) and (x + 2)
The option, that combines (x + 1) and the other two factor combination is (x - 5)·(x + 2)·(x + 1)
∴ The solution which meets the condition is (x - 5)·(x + 2)·(x + 1)
We check;
(x - 5)·(x + 2)·(x + 1) = x³ - 2·x² - 13·x - 10
The organizers of the concert arranged 390 chairs in a row so that there were 18 chairs in the first row and 42 chairs in the last row, and the number of chairs in the rows forms an arithmetic progression. How many chairs were placed in rows, and how many chairs in each subsequent row are more than the previous one?
Answer:
4
Step-by-step explanation:
Please help! And I’ll mark you as the brainiest!!!
Answer:
x < -2
Step-by-step explanation:
-4x - 7 > 1
-4x > 1 + 7
-4x > 8
x < -8/4
x < -2
165 is what percent of 750?
Your answer is...…
(ノ◕ヮ◕)ノ*:・゚✧ ✧゚・: *ヽ(◕ヮ◕ヽ)
22!
Kind hearts, help me out with this one please? I'm talking about number 3...
Answer:
91
Step-by-step explanation:
suppose there are x number of residents.
x²=8281
so, x=√8281=91
Which inequality represents the sentence below?
Four and nine tenths less than the product of a number and six is no more than eighteen and one-eighth.
4 and StartFraction 9 over 10 EndFraction minus 6 x less-than-or-equal-to 18 and StartFraction 1 over 8 EndFraction
6 x minus 4 and StartFraction 9 over 10 EndFraction less-than-or-equal-to 18 and StartFraction 1 over 8 EndFraction
4 and StartFraction 9 over 10 EndFraction less-than 6 x + 18 and StartFraction 1 over 8 EndFraction
6 x minus 4 and StartFraction 9 over 10 EndFraction less-than 18 and StartFraction 1 over 8 EndFraction
can someone help me plz
Answer: 170
Step-by-step explanation:
t r is 90 and 82 and it = 172 just round that and you have 170
100 POINS HELPP!! (and brainliest)
What is the area of this trapezoid?
A.60ft2
B.80ft2
C.64ft2
D.24ft
(the 2 stands for squared lol)
Answer:
area of trapezoid =1/2 h(s1+s2)=1/2×8(6+10)=4×16
=64 ft²
option C.64ft2 is your answer
Answer:
[tex]\Large \boxed{\sf 64 \ ft^2}[/tex]
Step-by-step explanation:
Area of trapezium/trapezoid formula:
[tex]\displaystyle \frac{(a+b)\times h}{2}[/tex]
Substitute the values and evaluate
[tex]\displaystyle \frac{(6+10)\times 8}{2}=\sf 64[/tex]
PLEASEEE HELP I WILL GOVE BRAINLIEST! Plus 10 points
MDentyne Cinnamon Fire Sugar Free Gum contains 40% fewer calories than
regular gum. If a piece of regular gum contains 5 calories, how many calories
does one stick of Dentyne Cinnamon Fire Sugar Free gum contain?
Answer:
3 calories
Step-by-step explanation: 100%-40%=60% .6*5=3 calories
Answer:
4.6
Step-by-step explanation:
Find the product of (x - 3)2
Answer:
2x - 6
Step-by-step explanation:
Use distributive property.
(x - 3)2 = 2x - 6
can someone pls help with this or drop a link w the answers? ty sm
Answer:
try using the app "photomath" or the website "wolframalpha. c0m"
i feel bad that im not answering any but have a good dayyy! i really hope this helped
Find the median of the following numbers 1,-1,-5,3 and -4.
The product of 0.014 and 100,000 is 1,400 because the decimal point in 0.014 moves Choose... places to the right.
Answer:
5
Step-by-step explanation:
The value 0.014 was multiplied by has 5 zeros. So the decimal point would move 5 places to the right
Can Someone Help Me out?
Answer:
Ask your teacher and ill gave u answre if its alowioiehree
Step-by-step explanation:
A straight road to the top of a hill is 2500 feet long and makes an angle of 12° with the horizontal. Find the height of the hill. Round to the nearest foot.
The height of the hill is 520 ft
The height of the hill, h the length of the road, L and the ground form a right angled triangle with length of the road as the hypotenuse side and the height of the hill as the opposite side to the angle the road makes with the horizontal, Ф.
Now, from trigonometric ratios,
sinФ = h/L
The height of the hillMaking h subject of the formula, we have
h = LsinФ
Since L = 2500 ft and Ф = 12°, thus
h = LsinФ
h = 2500 ft × sin12°
h = 2500 ft × 0.2079
h = 519.78 ft
h ≅ 520 ft to the nearest foot
So, the height of the hill is 520 ft
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Please help! The question and answer choices are attached.
Hugo is buying DVDs that cost $15 each. He has a coupon for $5 off his
total purchase. Write an equation to find c the total amount he will spend on
any number of DVDs d. Then use the equation to find the amount he will
spend if he buys 6 DVDs.
Answer: 85
Step-by-step explanation: 15 × 6= 90 - 5= 85
how's everyone's day going? I want an actual sentence not just "good"
Answer:
My day has been trash so far.
Step-by-step explanation:
I was supposed to go to a meeting with my counselor and principal because of my terrible lack of motivation but no one showed up. I was also supposed to sign up for therapy because I'm depressed but no, it did not work. I woke up to my parents fighting and wanted to get something to eat until I remembered that I'm fat. The whole time I'm thinking about the boy I love, he left me. I seriously don't wanna be here or deal with any of this. Earth and humans are full of c.rap and I'm sick of it.
Thanks for asking tho
I hope your day has been great
look below giving brainliest plz dont answer it incorrect
1 is D 10,8
2 is B 10, 3
Which expression is equivalent to ( x
27
ვ
?
o x*(V)
o x?? (2)
*24 (/
Answer:
27
Step-by-step explanation:
3*3*3=27. 3*3=9 9*3=27
help i will give brainliest and 10 points!
Answer:
what's the question? ..
HELPPPPP PLZZZZZZZZZ
Answer: 14
Step-by-step explanation:
10.5 / 3 = 3.5
4 x 3.5 = 14
if f(x) = 3/x + 2 - x-3, complete the following statement ( round your answer to the nearest hundredth):
f(7) =
Answer:
-1.67 is what I got
Step-by-step explanation:
solved it
The value of f(7) is -1.73 for the function f(x)=3/(x+2)-√x-3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=3/(x+2)-√x-3
We need to find the value of f(7)
Replace x with 7 in the given function.
f(7)=3/7+2 - √7-3
f(7)=3/11-√4
=3/11-2
=3-22/11
=-19/11
=-1.73
Hence, the value of f(7) is -1.73 for the function f(x)=3/(x+2)-√x-3.
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NEED HELP ASAP PLZ PLZ
Answer:
EVERYONE THAT HAS WATCHED GINNY AND GEORGIA PLEASE GO REVEIW THE SHOW AND GIVE IT 5 STARS. WE NEED A SEASON 2 ..
what is the factor of 360
Answer:
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
Answer:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360, making a total of 24 divisors. 360 is a highly composite number.
Step-by-step explanation:
23 × 32 × 5
Can somebody please help me ?
Answer:
54
Step-by-step explanation:
Answer:
54 degrees
Step-by-step explanation:
Assuming one angle is 90 degrees , 36 + 90 = 126
A triangle sums up to 180 degrees so:
180 -126 = 54
I need help I don’t understand. I will give brainliest.
Answer:
i think it is A
Step-by-step explanation:
width x base x height
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