Answer: Major arc = ∅/360 (2πr)
Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.
Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.
If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.
Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as
60/360
This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the central angle by the entire length of the circumference.
Therefore you can calculate the measure of major arc ABC by applying the formula
Length of an arc = ∅/360 (2πr)
Where ∅ is the angle enclosing the arc at the center of the circle
r is the radius of the circle and
π is usually given as 3.14 (or 22/7)
Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.
And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;
Angle of major arc = 360 - angle of minor arc
Will Mark Branliest What would be the best way to display both the overall shape and individual values of the data below? dot plot box graph stem-and-leaf graph frequency table
Answer:
Stem and leaf
Step-by-step explanation:
Answer:
The answer is frequency table
Hope this helps.
Choose improper fraction that is equivalent to mixed number 4 3/10
Answer:
Step-by-step explanation:
Answer:43/10
Step-by-step explanation:
in grade school i was taught the “MAD” method which stands for multiply add divide, so you would take 10 times 4, add 3, which will give you your fraction which could also be used to divide. the answer is 43 over 10.
Where is the blue dot on the number line?
Answer:
0.58 is where the blue dot on the number line is
Answer:
The blue dot is at -0.58
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle
Answer:
6 and 2
Step-by-step explanation:
6+6=12
2+2=4
12+4=16
The Stockton Hotel has plans to carpet the floor of a ballroom that has a width of 35 feet and a length of 50 feet. A 1.5-foot border of tile around the room will be installed, What is the area of the floor that will be covered with carpet? 1,504 ft2 1,673.25 ft2 1,584.75 ft2 1,750 ft2
Answer:
A
Step-by-step explanation:
Because of the border of tile, the length and width of the room are essentially being decreased by (1.5*2)=3 feet. The area is now therefore:
32*47=1,504 square feet, or answer choice A
Hope this helps!
Answer:
A
Step-by-step explanation:
hope this helps
Equation: 32 x 47 = 1, 504
Which of the following circles have their centers on the Y axis
Answer:
Hi, please provide a photo or options to pick from. I will answer then.
Step-by-step explanation:
6.07 which expressions are equivalent to 3(x + 3y + 2x - y
Answer:
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Step-by-step explanation:
Given
[tex]3(x + 3y + 2x - y)[/tex]
Required
Possible Equivalents
To start with; we need to simplify the expression in the bracket;
[tex]3(x + 3y + 2x - y)[/tex]
Collect like terms
[tex]3(x + 2x + 3y - y)[/tex]
[tex]3(3x +2y)[/tex]
At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Solving further, by expanding the bracket
[tex]3(3x +2y)[/tex]
[tex]3*3x +3*2y[/tex]
[tex]9x +6y[/tex]
At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Hence,
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π) A. 690,800 miles B. 6,908 miles C. 345,000 miles D. 3,454 miles
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
C=πd
C=π*2200
C=3.14*2200
C=6908
Option B is correct.
Answer:
b
Step-by-step explanation:
choose the correct equation(s) for the function shown in the graph. Select all that apply. (There is more than one answer) y = 2cos2(x • π/2) y = -2sin2 x y = -2cos(2 x - π/2) y = 2sin2( x - π/2)
Answer:
The correct options ares:
b) y = -2sin2x
c) y = -2cos(2 x - π/2)
d) y = 2sin2( x - π/2)
Step-by-step explanation:
As we can see in the graph, when x = 0 then y = 0.
Simply substitute x=0 in each equation.
a) y = 2cos2(x • π/2)
for (0,0)
y = 2
False
b) y = -2sin2x
for (0,0)
y=0
True
c) y = -2cos(2 x - π/2)
for (0,0)
y=0
True
d) y = 2sin2( x - π/2)
for (0,0)
y=0
True,
(We can also find the solution by using y= Asin(Bx+C) and y = Acos(Bx+C), we'll find that except equation a, all other equations have same amplitude, horizontal shift, period and vertical shift)
PLEASE HURRY Find the sum of the first 10 terms in the series: -3, 9, -27, 81... a. -14763 c. 44286 b. 4920 d. 59049
Answer:
C.
Step-by-step explanation:
First find the pattern. The pattern is you multiply the number before by -3.
Just start with x as the first number.
x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x
Add them all up: -14762
Now multiply by -3:
44286
The required sum of the first 10 terms in the series is given as 44286. Option C is correct.
Given that,
The sum of the first 10 terms in the series: -3, 9, -27, 81... is to be determined.
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
here,
For Geometric progression,
a = -3
r = 9/-3 = -3
The sum of the 10 terms of GP is given as,
S = a[rⁿ - 1] / [r - 1]
Substitute the value in the above equation,
S = -3[{-3}¹⁰ - 1]/[-3-1]
S = 3/4 [3¹⁰ - 1]
S = 44286
Thus, the required sum of the first 10 terms in the series is given as 44286. Option C is correct.
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Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2
Please I need help with this ASAP..Thanks
Answer:
Qu.3 a = 70 degree.
Qu 4. a = 6 b= 4 c = 15 d =9
Step-by-step explanation:
Rules of parallelogram show that diagonal adjacent angles are equal
Then 110 = 110 and 110+110 = 220
Then as angles equal 360 degree we subtract.
a * 2 = 360-220 = 140 degree
Where there are two angles we divide by 2 to find one of them = a as both measures equal double;
a = 140/2 = 70 degree.
Qu 4. a = 6 b= 4 c = 15 d =9
without calculator we simplify
a= 3/4 x 8 = 1 x 8 - 1/4 = 6 = 3/4 +1/4 = 1 then 1 *8 = 8 then 8 -1/4 = 6 or go decimal 0.75 * 8 = 0.40 + 5.60 + total = 6
b = 2/6 x 12 = 1/6 x 12 (2) = 2 (2) = 4 = 1/6 *2 is the same as 2/6 we then *12
c = 3/2 x 10 = 1/2 x 10 (3) = 5 (3) = 15 = 1/2 *3 is the same as 3/2 we then *10
d = 3/12 x 36 = 1/4 x 36 = 9 = decimal 0.25 x 36 = 1.50 | + 7.5 = 9
For f(x) = 3x +1 and g(x) = x^2-6, find (fg)(x).
Which of the following numbers is the largest?
12 hundredths
0.025
9 thousandths
0.1
None they are all small
The area of the shape given is: (Use pie = 3.14)
Answer:
116.18 m²
Step-by-step explanation:
r = 5 m
R = 5m + 2m = 7m
Ax = π·R²/4 - π·r²/4
= 49π/4 - 25π/4
= 24π/4
= 6π m²
A(shape) = π·R² - 2·Ax
= 49π - 2·6π
= 37π
= 37×3.14
= 116.18 m²
Pleaseee helpp
A student skipped a step when she tried to convert 26 hours into seconds,
and she got the following incorrect result:
25 hours (60 seconds)
(1 minute)=
- 1560 seconds
What conversion ratio did she skip in this multiple step conversion?
A.
1 hour
60 minutes
B.
60 seconds
1 minute
C.
1 minute
60 seconds
D.
60 minutes
1 hour
Evaluate the expression for
a = 30, b = 30, c = 7, d = 24:
a + b = c = d.
Answer:
Not possible
Step-by-step explanation:
a + b = c = d Substitute
30 + 30 = 7 = 24 Add
60 = 7 = 24 This is not possible because these numbers aren't equal.
Find the value of x in each case.
Answer:
x = 13 deg
Step-by-step explanation:
As shown in the picture, you have:
CF and CD are perpendicular
=> angle BCF = 90 deg
=> angle BCE + angle ECF = angle BCF = 90 deg
or angle BCE + 64 = 90
=> angle BCE = 90 - 64 = 26 deg
Point A, B, and C are collinear
=> (angle ABE) + angle CBE = 180 deg (1)
Otherwise, as the property of the sum of 3 angles in a triangle:
(angle BEC + angle BCE) + angle CBE = 180 deg (2)
From (1) and (2) you would have:
angle ABE = angle BEC + angle BCE
or
3x = 26 + x
<=> 3x - x = 26
<=> 2x = 26
<=> x = 26/2
<=> x = 13
=> angle BEC = x = 13 deg
=> angle ABE = 3x = 3(13) = 39 deg
Hope this helps!
How many faces does this pyramid have? A net has a rectangular base and 4 triangles on the sides. faces
Answer:
5 faces
Step-by-step explanation:
Faces:
=> 1 rectangular face+4 triangular face = 5 faces
Answer:
a pyramid has has 5 Faces.
Step-by-step explanation:
The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices
a net with a rectanguler base and 4 triangles will form a rectanguler pyramid
The expression below is the factorization of what trinomial?
(5x + 6)(3x - 2)
O A. 15x2 + 8x+12
B. 15x2 + 4x-12
O C. 15x2 + 4x+12
О
D. 15x2 + 8x-12
Answer:
D. 15x^2 + 8x - 12
Step-by-step explanation:
To solve this problem, simply expand the factorization and find the polynomial.
5x * 3x = 15x2
5x * -2 = -10x
6 * 3x = 18x
6 * -2 = -12
You are left with 15x2 - 10x +18x - 12, but you need to combine like terms, leaving you with the correct answer: 15x2 + 8x - 12.
Answer:
D.
Step-by-step explanation:
(5x+6)(3x-2)=5x*3x-5x*2+6*3x-6*2=15x^2-10x+18x-12=15x^2+8x-12
Read the claim about "The Most Dangerous Game,” by Richard Connell. RA teacher instructs students to write an argumentative essay about "The Most Dangerous Game.” Read the claim and reason one student writes and then answer the question. Claim: The general does not play fair in his game. Reason: He uses trickery to lure his prey. Which quote from the story provides the best evidence to support the student’s reason? "The island is perfect for my purpose—there are jungles with a maze of traits in them, hills, swamps—" Every day I hunt, and I never grow bored now, for I have a quarry with which I can match my wits." '"And the answer was, of course, 'It must have courage, cunning, and, above all, it must be able to reason.'" "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."ead the claim about "The Most Dangerous Game,” by Richard Connell. Zaroff considers himself to be a god-like figure. What is the most effective concluding statement? Zaroff is so proud himself, he seems to believe he should be worshipped by others like a god. Zaroff lives in a castle and watches out, believing he is in charge, much like a mythical god. Throughout the story “The Most Dangerous Game,” Zaroff’s actions suggest he is a god. Zaroff believes he is a god, as he alters the fate of sailors and controls men’s actions.Zaroff considers himself to be a god-like figure. What is the most effective concluding statement? Zaroff is so proud himself, he seems to believe he should be worshipped by others like a god. Zaroff lives in a castle and watches out, believing he is in charge, much like a mythical god. Throughout the story “The Most Dangerous Game,” Zaroff’s actions suggest he is a god. Zaroff believes he is a god, as he alters the fate of sailors and controls men’s actions.
Answer: D) "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."
Explanation: In this part of "The Most Dangerous Game" General Zaroff explains to Rainsford that he hunts humans in his island, and when Rainsford asks why men keep going to the island, the general lights a signal that indicates a channel where there is none, so when the ships were destroyed by the rocks, the sailors are forced to swim to the general's island, where they are hunted, this support the claim that The general does not play fair in his game.
Answer:
D) "They indicate a channel," he said, "where there's none: giant rocks with razor edges crouch like a sea monster with wide-open jaws. They can crush a ship . . ."thank me later:)
Louisa has 4 dogs.
Each dog eats 3/4
of a tin of dog food each day.
Louisa buys 12 tins of dog food.
Has Louisa bought enough dog food to feed her 4 dogs for 5 days?
You must show how you get your answer.
Answer:
No, she has not bought enough dog food to feed her 4 dogs for 5 days.
Step-by-step explanation:
She has 4 dogs which each eat 3/4 of a tin each day, so during each day 3/4 * = 3 tins of food are eaten. She has 12 tins, and 12/3 is 4 days without running out. She has therefore not bought enough dog food to feed her 4 dogs for 5 days.
No, she has not purchased enough dog food to last five days and feeds her four dogs.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Each of her four dogs consumes 3/4 of a tin of food every day, making a total of 3 tins of food consumed daily. She has 12 tins, therefore she has 4 days before running out as of 12/3. She hasn't purchased enough dog food as a result to feed her four dogs for five days.
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Based on the work shown on the left, what is the simplest form of sqrt 250c^3/9d^6?
Answer is A on edge.
Answer:
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5\sqrt{10c^3} }{3d^3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{250c^3}{9d^6}}[/tex]
Required
Simplify to the simplest form
We start by splitting the square root
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250c^3}}{\sqrt{9d^6}}[/tex]
Expand
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250 * c^3}}{\sqrt{9 * d^6}}[/tex]
Further Split the square root
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{\sqrt{9}*\sqrt{d^6}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*\sqrt{d^6}}[/tex]
From laws of indices;
[tex]\sqrt[n]{a^m} = a^{\frac{m}{n}}[/tex]
This implies that
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*{d^{\frac{6}{2}}}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{250} * \sqrt{c^3}}{3*{d^3}}[/tex]
Expand 250 to 25 * 10
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{25 * 10} * \sqrt{c^3}}{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{\sqrt{25}*\sqrt{10} * \sqrt{c^3}}{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5*\sqrt{10} * \sqrt{c^3}}{3*{d^3}}[/tex]
Combine the square roots
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5*\sqrt{10*c^3} }{3*{d^3}}[/tex]
[tex]\sqrt{\frac{250c^3}{9d^6}} = \frac{5\sqrt{10c^3} }{3d^3}[/tex]
Solved
Answer:
its a
Step-by-step explanation:
i just did it
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c= 5/9(F – 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
Which is the graph of 2x - 4y > 6?
4
TY
417
41Y
N
2.
N
N
a
2
4
2
4 -2
-2
-4 -2
-2
2
-4-2
2
AN
-2
X
Answer:
Step-1: the x-intercept and the y-intercept
2x - 4y = 6
For y = 0, we get the x-intercept.
2x - 4(0) = 6
2x = 6, and then divide by two on both sides.
Hence, the x-intercept is
For x = 0, we get the y-intercept.
2(0) - 4y = 6
-4y = 6, and then divide by -4 on both sides.
Hence, the y-intercept is y = -3/2 = ( 0, -3/2)
The graph of the inequality 2x - 4y > 6 is the same as y < 0.5x - 1.5
How to determine the graph?The inequality is given as:
2x - 4y > 6
Divide through by 2
x - 2y > 3
Subtract x from both sides
- 2y > -x + 3
Divide both sides by -2
y < 0.5x - 1.5
See attachment for the graph of the inequality 2x - 4y > 6
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solve this please. find the sum
Answer:
1
Step-by-step explanation:
a + b - c
Let's solve for the first triangle.
1 + 3 - 4
4 - 4 = 0
Now for the second triangle.
2 + 5 - 6
7 - 6 = 1
Add 0 and 1.
0 + 1 = 1
Answer:
1
Step-by-step explanation:
1+3=4-4=0
2+5=7-6=1
0+1=1
FIRST CORRECT GETS BRAINLIEST!!!!!!!! 15/20 POINTS!!!!!!!!!!!!!!! ASAP!!!!!!111
Answer:
3, -x+3, first option
Step-by-step explanation:
just do them man
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km
Vanessa has a lot of headbands. Twenty are pink, 32 are blue, and 16 are black. If she picks a headband at random, what is the probability that it will not be black?
Answer:
[tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
all headbands: 20+32+16 = 68
headbands that aren't black: 68-16 = 52
the probability: [tex]\frac{52}{68}=\frac{13}{17}[/tex]