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
Kevin rode 24 km in 2 hours. At that rate, how long would it take him to ride 120 km?
Answers
Answer:
10 hours
Step-by-step explanation:
We can convert the speed to km/h, and to do this, you simply have to find the amount Kevin rides in 1 hour. So,
24/2 = x/1
x = 12
So, now we see that Kevin rides at approximately 12 kmph. Now, instead of finding the distance, we need to find the hour at 120 km.
12/1 = 120/x
x = 10
Please help BRAINIEST ANSWER ❤️❤️
Answers
Answer:
16.9 in
Step-by-step explanation:
At a glass vase factory, 2 out of the last 20 vases produced were chipped. Considering this data, how many of the next 10 vases would you expect to be chipped?
Answers
2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.
I would expect 1 out of the next 10 to be chipped.
Answer:
1
Step-by-step explanation:
hii please help i’ll give brainliest:)
Answers
Answer: Caravans
Step-by-step explanation:
I need help I already posted but no one replied.
only 1,2,5
Answers
5. The area of the base is 50.2cm2.
The area of the curved surface is 351.7 cm2.
The total surface area would be 401.9 cm2.
Find the circumference
Answers
C=D x 3.14
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
diameter = 12cm
radius(r) = diameter ÷ 2radius(r) = 12 ÷ 2radius(r) = 6cmC = 2πr= 2 × 22/7 × 6Circumference = 37.7 cmNo Links or I will report you Algebra 1 help 2 questions Interpret Exponential Function Constant
Answers
Answer:
1) The function is decreasing exponentially at a rate of 15% every decade.
2) The function is increasing exponentially at a rate of 20% every year.
Step-by-step explanation:
1) 1–0.85 = 0.15
0.15 x 100 = 15%
2) 1.2–1 = 0.2
0.2 x 100 = 20%
If you have 7x + 10x + 4, what would be an equivalent expression?
Answers
17x+4 is the answer hope this helps you
Find the area!
- please help!
Answers
Answer:
25 x 20 = 500
half of 25 = 12.5
12.5^2
156.25 x 3.14 = 490.625
490.625 divided by 2 = 245.3125
245.3125 + 500 = 745.3125 cm2 is your answer.
10 ft
5 ft
2 ft
Find area!!!
Answers
Answer:
Step-by-step explanation:
Volume = Length x width x height
length (10)
width (2)
height (5)
10 x 2 x 5 = 100
Area = Length x width
10 x 2 = 20ft
Find the equation of the line that passes through points A and B.
y
X A (4, 7)
B (2, 3)
Answers
Answer:
y = 2x - 1.
Step-by-step explanation:
The slope = (7-3)/(4-2)
= 4/2
= 2.
y - y1 = m(x - x1)
Here m = 2 , x1 = 2 and y1 = 3. So we have:
y - 3 = 2(x - 2)
y = 2x - 4 + 3
y = 2x - 1.
We have used the point (2, 3) to find the equation but we could have used (4, 7). We would have got the same answer.
Answer:
y - 3 = 2(x - 2)
Step-by-step explanation:
As we move from Point B (2, 3) to Point A (4, 7), we see x increasing by 2 from 2 to 4 and y increasing by 4 from 3 to 7. Hence the rise is 4 and the run is 2, which means that the slope of this line is m = rise / run = 4/2 = 2.
Using the point-slope formula y - k = m(x - h) and the point (2, 3), we get:
y - 3 = 2(x - 2)
tals, we werest Deus
-
In what time will 5120 amount to 7290 at 12 1/2% per annum compounded annually?
Answers
Answer:
The time will be "3 years".
Step-by-step explanation:
The given values are:
Principle,
P = 5120
Amount,
A = 7290
Rate,
r = 12.5
Time,
n = ?
As we know,
⇒ [tex]A = P[1+\frac{r}{100} ]n[/tex]
On substituting the values, we get
⇒ [tex]7290=5120[1+\frac{12.5}{100} ]n[/tex]
On applying cross-multiplication, we get
⇒ [tex]\frac{7290}{5120}=[1+\frac{125}{100}\times 100 ]n[/tex]
⇒ [tex]\frac{9}{8}\times 3=[8+\frac{1}{8} ]n[/tex]
⇒ [tex]n = 3 \ years[/tex]
hii please help asap ill give brainliest thanks
Answers
Fill in the table using this function rule.
y=5x-1
Answers
the 2nd one is 5(0)-1= -1
the 3rd one is 5(1)-1= 4
the last one is 5(2)-1= 9
The table values with the function y = 5x - 1.
x y
-1 -6
0 -1
1 4
2 9
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 5x - 1
For x = -1,
y = -5 - 1 = -6
For x = 0,
y = - 1
For x = 1,
y = 5 - 1 = 4
For x = 2,
y = 10 - 1 = 9
Thus,
The table values are given above.
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Pls help
Pls help
Pls help
Answers
Answer:
346.5 cm
Step-by-step explanation:
Answer:
137.5
Step-by-step explanation:
A bakery makes a $5 profit for each cake it sells. It makes
a $6 profit for each pie it sells. The expression 5c + 6p
represents the profit for selling c cakes and p pies. How
much profit is made if the bakery sells 10 cakes and 7 pies?
Answers
Answer:
It’s 92
Step-by-step explanation:
$5 x 10 cakes= 50
$6 x 7 pies= 42
50 x 42= 92
Write the equations of the lines on the grid.
Answers
red line: y = x
green line: y = -x
A dinner plate has a radius of 4 inches. What is the plate's circumference?
Answers
Answer: 8 inches
Step-by-step explanation:
Answer: 25.12
Step-by-step explanation:
C= 2πR
= 2 * 3.14*4
= 25.12
please help me solve this problem |4|+|-5|=
Answers
Answer:
-1
Step-by-step explanation:
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answers
Answer:
yes, this quadrilateral is a parallelogram.
Step-by-step explanation:
Above quadrilateral ,
opposite angle 70=70
and there is also 180-70=110 (linear pair)
so, others opposite angle 110=110
This quadrilateral have opposite sides equal
so, this is parallelogram.
If the gradient of the line segment joining (-3,7 ) and (4,p) is 3/5 ,find p
Answers
Answer:
a
Step-by-step explanation:
1. The table below shows Vanessa's height in inches for two different years.
YEAR (x) 2000&2005
HEIGHT (y) 48 inches 54 inches
Which is a correct conclusion about the rate of change shown in the table?
A. Vanessa grows about 41.7 inches per year. B. Vanessa grows about 6 inches per year.
C. Vanessa grows about 1.2 inches per year.
D. Vanessa grows about 83 inches per year.
Answers
Answer:
Option C, Vanessa grows 1.2 inch per year
Step-by-step explanation:
Based on the given information it is clear that from 2005 to 2000 i.e in 5 years height of Vanessa has increased by 6 inch i.e from 48 inch to 54 inch.
If we estimate the per year growth, we can deduces that Vanessa grows by[tex]\frac{6}{5} = 1.2[/tex] inch.
Hence, option C is correct
Vanessa grows 1.2 inch per year
5) What is the median of the data? 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
O 22
O 43
O 5
O 21.9
Answers
Answer:
the answer is 22
Step-by-step explanation:
hoped I helped! i had messed up the first time lol
URGENT!!! 20 points and Brainliest to best answer!
Complete the following proof.
Given: AB , CD are diameters
Prove: BD = CA
Answers
Answer:
angle AOC = BOD vertical angles
AO=BO bisected by CD
CO=DO biscted by BA
AOC =BOD SAS
Step-by-step explanation:
: D
Answer:
angle AOC = BOD vertical angles
AO=BO bisected by CD
CO=DO bisected by BA
AOC =BOD SAS
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.
Answers
Answer:
3rd Answer =Option A is the Correct Answer
Step-by-step explanation:
Hi!
3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.
4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.
Hope this helps! I would appreciate brainliest, if not that's okay!!
someone help me please
Answers
Answer:
[tex]426.9km^{2}[/tex]
Step-by-step explanation:
Area of the shaded region→
[tex]A=\frac{1}{2}*40*27-\pi *6^{2}[/tex]
→ [tex]540-113.04[/tex]
→[tex]426.9[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!!
Q1: what is the measure of angle 2
Q2: what is the measure of angle 9
Q3: what is the measure of angle 10
Q4: what is the measure of angle 7
Answers
Answer:
angle 2 is 104
angle 9 is 66
angle 10 is 114
angle 7 is 76
Step-by-step explanation:
an athlete did one round around a circle of radius 42m.what is the total distance covered by him
Answers
Answer:
2 * pi * 42 meters
Step-by-step explanation:
One round means a parameter of the circle
Help me with the question also explain the work. If you can send a picture of what you did that would be also helpful. thx ;)
Answers
answer: x = -7/4
12 = -4x +5
Subtract 5 from both sides.
7 = -4x
Divide both sides by -4.
-7/4 = x
Flip if you want.
x = -7/4
:)
Answer:
-43
Step-by-step explanation:
In a class, there are 24 boys to 18 girls. What is the ratio of boys to the total number of students in the class?
Options:
a. 24:24
b. 24:42
c. 42:24
d. 18:42
Answers
Answer:
B. 24:42Step-by-step explanation:
24 boys to 18 girls, total students:
24 + 18 = 42Ratio of boys to the total number of students:
28 : 42Correct choice is B
Answer:
Solution given;
girl's=18
boys=24
total no of students=24+18=42
now
the ratio of boys to the total number of students in the class=[tex] \frac{24}{42} [/tex]
=24:42is the required ratio.