Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
Answers
Answer: A. -sqrt (3)/2, 1/2
To get from radians to degrees, you replace the pi symbol with 180° and solve
So, (5 • 180) / 6 = 150°
150° makes a 30° angle, as the nearest x axis is the negative x axis at 180°.
As we know, a 30°, 60°, 90° triangle has sides sqrt(3)/2 and 1/2.
Since the 30° angle is on the x axis, sqrt(3)/2 will be the x value and 1/2 will be the y value. And since the triangle is in the negative x, positive y quadrant, 1/2 will be positive and sqrt(3)/2 will be negative. Giving you (-sqrt(3)/2, 1/2)
Related Questions
The height of six trees in a parkway are 5 meters, 8 meters, 12 meters, 6 meters, 11 meters, and 5 meters. Find the mean height of the six trees. A. 7 meters B .7.83 meters C.8.21 meters D.12 meters
Answers
Answer:
The answer is B, 7.83 meters.
Step-by-step explanation:
The mean of the six trees refers to the average height of all six trees. To find the mean value of any set of values, simply follow this formula:
Mean = [tex]\frac{Sum of all values}{Number of values you used}[/tex]
So for this particular question, my working was:
Mean = (5m + 8m + 12m + 6m + 11m + 5m)/6 = 7.833333333333m (Round off to 3 significant figures to get 7.83m)
I was unsure if my answer was incorrect please help
Answers
Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat
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Answer:
6
Step-by-step explanation:
6 times 5 is 30. You would've divided 30 by 5
Explanation if she ate 30 and 5 time more then you need to divide
1.34 x 10^-2 to standard form
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Answer:
1.34×10^-2 in standard form is 0.0134
Using the diagram, calculate the values of the unknown variables: a, b, and c.
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Answer:
a = 82
b = 130
c = 118
Step-by-step explanation:
A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
a° + 98° = 180°
a° = 180° - 98°
a° = 82°
a = 82
By inscribed angle theorem:
a° = 1/2(b° + 34°)
82° * 2 = b° + 34°
164° - 34° = b°
b° = 130°
b = 130
Again by inscribed angle theorem:
76° = 1/2(c° + 34°)
76° *2 = c° + 34°
152° - 34° = c°
c° = 118°
c = 118
17. Find the scale factor that was used in the dilation shown.
Answers
Answer:
The answer is [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
because it grows from 4 units to 6 units or 1.5 times.
Charlotte thinks of a number.
She increases it by one fifth, and then reduces that answer by one half.
She finishes with 39.
What number did she start with?
Answers
Answer:
Charlotte started with 65.
Step-by-step explanation:
In order to find what number Charlotte started with, we need to go backward. So first, multiply by 2, then multiply by 5/6. 39 multiplied by 2 is 78, which is 6/5 of the number Charlotte started with. So what we need to do is multiply 78 by 5/6. That equals 390/6, which is 65. The problem has been solved. Charlotte started with 65.
An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 10 observations. The degrees of freedom in the denominator for the critical value of F test statistic is Group of answer choices
Answers
Answer:
The degree of freedom in the denominator = 114
Step-by-step explanation:
For Analysis of Variance procedure :
The number of groups, k is the number of distinct groups = 6
The total number of samples, N = number of groups multiplied by the number of samples per group ; N = 20 * 6 = 120
Degree of freedom (df) :
dfwithin = df of numerator = k - 1 = 5
df between = df of denominator = N - k
df denominator = 120 - 6 = 114
Plz help if correct ill give brainliest
Answers
Answer:
it's 48 promise because if you do 6x8 you get =48
So, for the square:
A = Length • Width
A = 8•8
A = 64
Then, for the triangle:
A = 1/2 • Base • Height
A = 1/2 • 6 • 8
A = 3 • 8
A = 24
Finally:
64 + 24 = 88
The final answer is 88 ft^2
Hopefully this helped!
The price of a necklace was increased by 10% to £121.
What was the price before the increase?
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Answer:
£108.90
Step-by-step explanation:
[tex]121 \times 10\% \\ = 121 \times 0.10 \\ = 108.90[/tex]
Find each angle measure Make sure to give all 3
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[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
a) 34°
b) 90°
c) 30°
thankshope it helps.what is the
the distance between a point at (-3,4) and a point at (2,-5)
Answers
What is the distance between a point at (-3,4) and a point at (2,-5) ?
Solution:-Let the two points be A and B .
And, let the distance be P .
Now, the distance P between the point A (-3,4) and the point B (2,-5) is
[tex] \bf P \: = \sqrt{(-3 \: - \: 2)^2 \: + \: (4 \: + \: 5)^2} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{(-5)^2 \: + \: (9)^2} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{25 \: + \: 81} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{106} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \: 10.3 [/tex]
The distance between a point at (-3,4) and a point at (2,-5) is 10.3 . [Answer]If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?
Answers
Write the equation of a line in slope intercept form that is parallel to the line y=1/5x -2 and goes through the point (4,7)
Answers
-3=3w + 6 solve for w
Answers
Answer:
w=3
Step-by-step explanation:
3w=+6+3
3w=9
w=9÷3
w=3
how I get?
3×w
if 3 move to the front it's goes to ÷
so 9÷3
( replace w with -3 )
3* -3 = -9
-9 + 6 = -3
Plz help me well mark brainliest if you are correct!
Answers
Answer:
c
Step-by-step explanation:
diameter is 2x the radius
Answer:
C. 2 meters
Step-by-step explanation:
If you have the radius multiply it by 2 to get the diameter.
If you have the diameter divide it by 2 to get the radius.
Find the area of the smaller sector round to the nearest tenth. Need help fast!!
Answers
The area of the sector is 76. 95 m
How to determine the area of a sector
Using the formula;
Area of sector of a circle = /360° (r2)
where r is the radius of the circle
is the angle of the sector
From the diagram,
= 77°
r = 10. 7m
= 3. 142
Substitute into the formula
Area of the sector = 77/ 360° * (3. 142* 10. 7 * 10. 7)
Area of the sector = 0. 2139 * 359. 72
Area of the sector = 76. 95 m
Thus, the area of the sector is 76. 95 m
Learn more about the area of a sector here:
https://brainly.com/question/22972014
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ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
help asap!!!
Answers
Answer:
IJ<JH<HI
Step-by-step explanation:
<H would be 43.
The side across from the smallest angle is the smallest side. IJ
The side across from the middle angle is the middle side. JH
The side across from the largest angle is the largest side. HI
someone please answer this!!
Answers
Answer:
4m is the answer.
Step-by-step explanation:
a = 3m
b = ?
c = 5m
According to the Pythagoras theorem,
a² + b² = c²
3² + b² = 5²
9 + b² = 25
b² = 25 - 9
b² = 16
b = 4m
∴ The distance between the ladder and the bottom of the slide is 4m.
what is the first step to solve this equation: 11 - 3i = 44
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Answer:
11 - 3i = 44 (move 11 to the right side and add minus)
-3i = 44-11
-3i = 33 (dive it by -3)
i = -11
You buy 25 pounds of tomatoes need 1.7 ounces how many portions can be made
Answers
Answer:
14 full potions or 14 portions and 7/10 of the 15th potion
Step-by-step explanation:
25/1.7=14.7058823529
Is this question correct?
Answers
Answer:
10^20
3^11
3^24
10^12
Step-by-step explanation:
(10^2)^10=10^2*10=10^20
3^3*3^8=3^3+8=3^11
(3^3)^8=3^3*8=3^24
10^2*10^10=10^2+10=10^12
Carla knows that, in order to use adjectives and adverbs more effectively, she needs to understand comparison. Which concepts below can help Carla expand her knowledge?
Each degree of comparison has its own suffix
The positive degree of comparison simply modifies the word and has no suffix
The comparative degree compares two things and uses the suffix –est
The superlative degree compares three things and uses the suffix -est
Answers
Answer:
Each degree of comparison has its own suffix..
Both the adjectives and adverbs are used to make comparisons. The comparatives and superlatives are also used in writing to hedge or to boost the language. Each degree of comparison has its own suffix. The correct option is A.
What is comparative degrees?The comparative form is used to compare two people, ideas or things. The superlative form with the word 'the' is used to compare three or more. The comparative adjectives are used to compare differences between the two objects they modify (larger, smaller, faster, higher).
The comparative form is used in the sentence where two nouns are compared. The comparative adjectives compare one person or the thing with another and enable us to say whether a person or thing has more or less of a particular quality.
One example of comparative adjective is that Josh is taller than his sister.
Thus the correct option is A.
To know more about comparative degrees, visit;
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form the largest and the smallest 4 digit numbers using each of the digits 9,1,0,5 only once
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Answer:
smallest: 1059
largest: 9510
Another name for the shape that make up any three-dimensional figure is
A. faces
B. Edges
Answers
Answer:
A
Step-by-step explanation:
Find the x-intercept of the line whose equation is 8x+2y=4.
1/2
4
2
Answers
Answer:
1/2
Step-by-step explanation:
8x+2y=4
To find x-intercept say y=0 and solve the equation.
8x+2(0)=4
8x=4
x=4/8
x=1/2
8x = 4
X = 1/2
Can someone please help me with this? I barely have an idea of where to start.
I’m confused on if there are 9 combinations or 144 combinations or whats going on here.
It would be greatly appreciated!
Kailynn has a bag with an equal number of red, yellow and blue marbles.
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Answer:
Step-by-step explanation:
There are 9 combinations since there is R, Y, B- 3 times it adds up to 9 combinations.
Which expression is equivalent to the following expression: 15 + 6x A. 3(5 +2x) B. 3(5 + 6x) C. 21x D. 15(6x)
Answers
Answer:
nt cbhhujvti'
Step-by-step explanation:
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answers
Answer:
0 (option a)
Explanation:
for a number to be divisible by 5, it has to end with the digits 0 or 5. for a number to be divisible by 3, the sum of all its digits has to be divisible by 3.
for 63215: 6 + 3 + 2 + 1 + 5 = 17 (not divisible by 3)
for 63210: 6 + 3 + 2 + 1 + 0 = 12 (divisible by 3)
thus, the missing digit is 0.
i hope this helps! :D
What is the exact value of tan 5pi over 3
Answers
Answer:
The answer is -3 squareroot