Find the area of the sector MAG in terms of Pi and approximate to the nearest hundredth
Answers
Answer:
Area of sector MAG = 35.2π unit² (Approx.)
Step-by-step explanation:
Given:
Diameter MP = 26 unit
ARC MG = ARC IP
∠GAI = 30°
Find:
Area of sector MAG
Computation:
Radius = Diameter MP / 2
Radius = 26 / 2
Radius = 13 units
∠MAG = ∠IAP
So,
∠MAG + ∠GAI + ∠IAP = 180
∠MAG + 30 + ∠MAG = 180
2∠MAG = 150
∠MAG = 75°
Area of sector = [θ/360][π][r]²
Area of sector MAG = [75/360][π][13]²
Area of sector MAG = [0.2083][π][169]
Area of sector MAG = 35.2π unit² (Approx.)
Related Questions
Pls help 10 ptsssssssssssss
NO LINKS
Answers
y= x-2
1 point
5. Aaron drew a map showing the locations of two cities, Oden and Lundy,
on a grid. Aaron drew a straight line from Oden to Lundy. Which of the
following is closest to the distance between Oden and Lundy along the
straight line? *
Please help quickly!!
Answers
Answer:
10 miles
Step-by-step explanation:
Given
The attached grid
Required
The distance between Oden and Lundy
See attachment for modified grid
From the newly attached grid, we have:
[tex]d^2 = 6^2 + 8^2[/tex] ---- Pythagoras theorem
This gives:
[tex]d^2 = 36 + 64[/tex]
[tex]d^2 = 100[/tex]
Take positive square roots of both sides
[tex]d = \sqrt{100[/tex]
[tex]d = 10[/tex]
Hence, the distance is 10 miles
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm. Answer in terms of pi
Answers
Answer:
I don't know what to look for
but area of sphere = 4πr²
4×π×12×12
576πmm³
volume of sphere= 4πr³
3
4/3π12×12
576/3π
= 192πmm³
What is the value of x?
Answers
Answer:
value we donnot know so we try to find it by equations
Answer:
Any number of possibilities...
Step-by-step explanation:
How do i write 25.4 million
Answers
Step-by-step explanation:
[tex]25,400,000[/tex]
Answer:
25,400,000
Step-by-step explanation:
Which statement is not always true?
Answers
Which trigonometric function is an odd function and why?
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).
Answers
Answer:
second choice is the answer or it can be
The correct answer is option B.
What is odd function?"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."
For given question,
Consider points A and B on the coordinate plane as shown in following image.
Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]
So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]
Let, AC = y, BC = -y and OC = m
Now, consider sine function
[tex]sin\theta=\frac{AC}{OA}\\[/tex]
⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)
And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]
⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]
⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)
⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))
Now, consider cosine function
[tex]cos\theta=\frac{OC}{OA}[/tex]
⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)
And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]
⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)
⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))
Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
Therefore, the correct answer is option B.
Learn more about odd function here,
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Find GH. Round to the nearest hundredth
Answers
Answer:
B
Step-by-step explanation:
32.08.
ffgyygyyuuidhyeyytttttrdcgrfhhtuhggi
Answer:
bit.^{} ly/3gVQKw3
Step-by-step explanation:
bit.^{} ly/3gVQKw3
Find the mode of the data. 65, 65, 60, 62, 60, 69, 60, 68, 63, 66 mode =
Answers
Answer:
60
Step-by-step explanation:
The mode is the value which occurs the most in the set. We see that 60 occurs three times, 62 occurs once, 63 occurs once, 65 occurs twice, 66 occurs once, 68 occurs once, and 69 occurs once.
Thus, the mode is 60.
Answer:
The mode is 60
Step-by-step explanation:
The mode is the number that appears most in the set of data. 60 appears the most, appearing 3 times.
It is estimated that 52% of drivers text while driving.
A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?
B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?
Answers
Answer:
a) 0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers
b) 0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.
Step-by-step explanation:
For each driver pulled, there are only two possible outcomes. Either they are texting, or they are not. The probability of a driver being texting is independent of any other drivers. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is estimated that 52% of drivers text while driving.
This means that [tex]p = 0.52[/tex]
A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?
This is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.52)^{3}.(0.48)^{2} = 0.324[/tex]
0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers.
B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?
None of the first four([tex]P(X = 0)[/tex] when [tex]n = 4[/tex]), and then the fifth, with 52% probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.52)^{0}.(0.48)^{4} = 0.0531[/tex]
0.0531*0.52 = 0.0276
0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.
Work out the value of x
Answers
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
These box plots show the scores of students in three different schools on the same 10-point quiz
Which of the following statements is true?
PLS HELP ME
Answers
Answer:
Step-by-step explanation:
Question 7 of 10
What is the surface area of the right cone below?
12
O A. 108units2
O B. 72 units2
O c. 45 units
D. 35 units2
SUBMIT
Answers
Answer:
the answer is c or 45pie Units
Step-by-step explanation:
The surface area of the right cone is,
⇒ SA = 45π units²
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of cone (r) = 3 units
Slant height of cone (l) = 12 units
Now, We know that;
The formula that is used to calculate the surface area of a cone is;
⇒ SA = πrl + πr²
Hence, We can substitute all the values we get;
⇒ SA = πrl + πr²
⇒ SA = π × 3 × 12 + π × (3)²
⇒ SA = 36π + 9π
⇒ SA = 45π units²
Thus, The surface area of the right cone is,
⇒ SA = 45π units²
Learn more about the multiplication visit:
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What is the arc measure of major arc ADE in degrees?
Answers
Hope this helps!
I need help will give out Brainlyest
Answers
Answer:
[tex] \frac{6}{6 - 2} = \frac{6}{4} = \frac{3}{2} [/tex]
Answer:
[tex] \rm \rightharpoonup \: f(x) = \frac{x}{x - 2} \\ \rm \rightharpoonup \: f(6) = \frac{6}{6 - 2} \\ \rm \rightharpoonup \: \frac{6}{4} \\ \rm \rightharpoonup \: \frac{3}{2} [/tex]
Hence option A is correctThe Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch. Sample Tread Wear 1 31 42 28 2 26 18 35 3 25 30 34 4 17 25 21 5 38 29 35 6 41 42 36 7 21 17 29 8 32 26 28 9 41 34 33 10 29 17 30 11 26 31 40 12 23 19 25 13 17 24 32 14 43 35 17 15 18 25 29 16 30 42 31 17 28 36 32 18 40 29 31 19 18 29 28 20 22 34 26 Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the R chart. Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.) UCL = LCL =
Answers
Answer:
LCL = 4.72
UCL = 18.08
Step-by-step explanation:
Sample size, n = 20
Sample _ tread wear, x __ Range
1 ______ 33.67 ___ 14
2______ 26.33 ___ 17
3 _____ 29.67 ____ 9
4 ______ 21 ______ 8
5 ______ 34 ______ 9
6 ______ 39.67 ___ 6
7 ______ 22.33 ___ 12
8 ______ 28.67 ___ 6
9 ______ 36 ______8
10 _____ 25.33 ___ 13
11 _____ 32.33 ____14
12 _____ 22.33 ___ 6
13 _____ 24.33 ___ 15
14 _____ 31.67 ___ 26
15 _____ 24 _____ 11
16 ____ 34.33 ____ 12
17 ____ 32 _______ 8
18 ____ 33.33 ____ 11
19 ____ 25 _______11
20 ___ 27.33 _____12
Sample mean, xbar = Σx / n = 29.167
Rbar = ΣR/ n = 11.4
The R chart control limit is given by :
Rbar(1 - 3(d3/d2))
From the R chart :
d3 = 0.729 ; d2 = 3.735
Hence,
LCL = 11.4(1 - 3(0.729/3.735))
LCL = 11.4(0.4144578) =
LCL = 4.72481892 = 4.72
UCL = 11.4(1 - 3(0.729/3.735))
UCL = 11.4(1.5855421)
UCL = 18.075180 = 18.08
please solve it CORRECTLY step by step asap
Answers
Answer:
[tex]Product = \frac{3}{5}ab[/tex]
Step-by-step explanation:
Given
[tex]-\frac{3}{7}a[/tex]
[tex]-\frac{21}{15}b[/tex]
Required
The product
The product is:
[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'
Cancel out the negative signs
[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]
Simplify fractions
[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]
[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]
[tex]Product = \frac{3}{5}ab[/tex]
pls help PLS PLS PLS PLS
20 POINTS
Answers
Answer:
Step-by-step explanation:
X squared over 6
+
2x cubed over 3
Answer:
x^2/6 + 2x^3/3
Step-by-step explanation:
I used (m)athway to simplify the expression
Q3)
Find the Correlation of the following two variables
X: 2, 3, 5, 6
Y: 1, 2, 4, 5
Answers
X= 66
Y=45
PLZ HELP ME WITH THIS I DON'T UNDERSTAND IT THANK YOU:)
You can register a pickup truck as a passenger vehicle if the truck is not used for commercial purposes and the weight of the truck with its contents does not exceed 8500 pounds.
a. Your pickup truck weighs 4200 pounds. Select an inequality that represents the number x of pounds your truck can carry and still qualify as a passenger vehicle. Then solve the inequality.
4200+x≤8500
x−4200≤8500
8500≥4200−x
8500≤x+4200
Question 2
The solution is
.
Question 3
b. A cubic yard of sand weighs about 1600 pounds. How many cubic yards of sand can you haul in your truck and still qualify as a passenger vehicle? Write your answer as a decimal. Do not round your answer.
You can haul at most
cubic yards of sand.
Answers
Answer:
a) 4200+x≤8500
_____________
x ≤ 4300
________________
b) 2.6875 or 2 ¹¹⁄₁₆ cubic yards.
__________________
4300 / 1600 = 2 ¹¹⁄₁₆ = 2.6875
What is the parallel slope
Answers
Answer:hv
Step-by-step explanation:
Use the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
Answers
9514 1404 393
Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
will mark brainliest please help
Answers
Please mark BRAINLIEST!
Answer:
Step-by-step explanation:
2x-3 =-4x+3
6x = 6
x = 1
plug 1 into either eq. to see what "y" you get
2(1) - 3 = -1
so
(1, -1 )
x=0,100,200,300, y=3.5,38.5 73.5, 108.5
Answers
Answer:
3.573 ⋅ 0.5108 ⋅ 0.5
Step-by-step explanation:
What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19
Answers
A pyramid is 24 feet tall a scaled model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model.
Multiple Choice Answers:
1/12
1/24
12
24
Answers
Answer:
1/12
Step-by-step explanation:
Given the following :
Actual height of pyramid = 24 ft
Dimension of scaled model :
Height = 2ft ; width = 1ft
a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.
Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.
(Height of scaled model / height of actual pyramid)
(2ft / 24ft) = 1/12
Bethany is 57 inches tall Bethany brother Scott is 2 inches taller than she is what is scoot height in feet
Answers
Answer:
5'9 ft
Step-by-step explanation:
He was built different
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A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:
A)
Can't be determined
B)
Obtuse
C)
Right
D)
Acute
Answers
Answer:
b) obtuse
Step-by-step explanation:
If this is a right triangle the hypotenuse would be
c² = 9² + 12²
c² = 81 + 144
c² = 225
c = √225
c = 15
Since the third side is 17 which is longer than 15
the triangle is obtuse
Answer:
obtuse
Step-by-step explanation:
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
Answers
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
Which of the following is the domain
of the given relation?
{(-6, 3), (-4, 5), (0, 0)
A {0. -4,-6)
B {0. 3. 5)
C {3, 4, 0}
D {-6 -4,5)
Answers
Answer:
[tex]A.[/tex]
[tex]Domain = \{-6,-4,0\}[/tex]
Step-by-step explanation:
Given
[tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]
Required
The domain
A function is represented as:
[tex]\{(x_1,y_1), (x_2,y_2), ....... (x_n,y_n)\}[/tex]
Where the domain is: [tex](x_1,x_2,....,x_n)[/tex]
So, in [tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]
The domain is:
[tex]Domain = \{-6,-4,0\}[/tex]