The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.
What is the formula for radian measure?The formula for radian measure to calculate the central angle is given as,
[tex]\theta=\dfrac{s}{r}[/tex]
Here, (r) is the radius of the circle and (θ) is the central angle.
In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,
[tex]\theta=\dfrac{21}{12}\\\theta=1.75[/tex]
Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.
Learn more about the radian measure formula here;
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Answer:1.75 radians
Step-by-step explanation: edge
Which statement about the graph of y = 1/4(2/3)^x is true?
The graph crosses the y-axis at (0, 1/6)
The graph decreases from left to right.
The graph includes point (1, 1/4)
The graph has an asymptote at y = 1/4
Answer:
The graph decreases from left to right.
Step-by-step explanation:
PLEASE HELP
Circle each correct surface area. Draw and label the net for each figure if needed. The first one is done for you.
the 7th grade has 207 students. there are 23 more girls than boys in the grade. how many boys are in the 7th grade
Answer:
92 boys
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
Answer:
42 boys
Step-by-step explanation:
Represent the number of boys with 'b' and that of girls with 'b + 23.'
Then b + (b + 23) = 207.
Simplifying, we get 2b = 84, so that b is 42. There are 42 boys and
(42 + 23) girls, or 65 girls.
Diego works at a carwash and makes $11 per hour. If he works 9 hours of overtime in a week, how much overtime would he earn? Consider that overtime is paid at time-and-a-half of his regular rate. 158.40 130.00 150.40 148.50
Answer: Total Hours
Regular Rate = $11.25 / hour
Overtime Rate = $16.88 / hour
Double Time Rate = $22.50 / hour
Step-by-step explanation:
Please help me with this please and thank you
Answer:
#3 is 100
#2 is west
#1 is 80
Step-by-step explanation:
please help. 50 points on the line
Answer:some where from 65-75 feet
Step-by-step explanation:
Factor 64r^2 −9s^2 ANSWER ASAP I WILL GIVE BRAINLEST
.
The triangle circumscribes the circle. What is the perimeter of the triangle?
Answer:
P = 72 ft
Step-by-step explanation:
the perimeter P is the sum of the 3 sides.
Tangents to a circle from an external point are congruent , then
side 24 = 15 + 9
side 21 = 9 + 12
Third side = 12 + 15 = 27 ft
P = 24 + 21 + 27 = 72 ft
The electrician charges a $20 service fee, plus $60 per
hour for electrical repairs, shown by the equation below.
Solve the equation 60h + 20 = 140 and explain the
meaning of the solutions• (What does h represent?
What do the numbers in the equation represent, etc.)
Now let's change this equation into an inequality:
60h + 20 < 140
How does the change from an equation to an inequality
impact the meaning? Give one scenario that could
account for the less than sign.
Answer:
1a) h = 2
1b) "h" represents the amount of hours the electrician worked, so the electrician worked two hours. "60" represents the cost per hour. "20" represents the beginning service fee. "140" represents the total cost in the end.
2a) This impacts the meaning because instead of the equation, meaning that the customer of the electrician payed exactly $140, it is turned into an inequality, which means the customer payed $140 at most.
2b) The electrician charges a $20 service fee, plus $60 per hour for electrical repairs. The customer payed $140 at most. This is shown with the following equation: 60h + 20 < 140
Step-by-step explanation:
60h+20=140
60h=120
h=2
You are standing at point C, 45 feet from the Point State Park fountain in Pittsburgh, PA. The distance from you to a point of tangency on the fountain is
105 feet. Find the length of AC, the distance between you and your friend at point A.
The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
How to determine the distance AC?To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
Read more about line of tangents at:
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Can someone please help me I will give u brainest please
Answer:
1/24
Step-by-step explanation:
1/2x1/2x1/6
"1/2" for which marble you choose
"1/2" for what the spinner lands on
"1/6" for what number the dice rolls
Gabriel has these bags of chips in his kitchen cabinet.
• 3 bags of Takis
• 2 bags of Doritos Cool Ranch
• 2 bags of Hot Cheetos
• 2 bags of Funyuns
• 1 bag of Ruffles
Gabriel will randomly choose one bag of chips. Then he will put it back and randomly
choose another bag of chips. What is the probability that he will choose a bag of
Funyuns and then a bag of Hot Cheetos?
The probability that he will choose a bag of Funyuns and then a bag of Hot Cheetos is
end
.:
1
25
::
:
42
Answer:
The answer for the first part is 2/5
Step-by-step explanation:
Because if you add the total number of bags it equals 10 and then you do 2/10 because if 2 bags of funyuns and another 2/10 because its 2 bags of hot cheetos so 2/10+2/10=4/10 and simplified it is 2/5
PLEASE MARK AS BRAINLIEST
The sum of my digits is 14 and I am odd. I am less than 3/5 of 160. I am greater than 104 - 12 x 4 + 23.
Answer:
95 assuming this is one number
Step-by-step explanation:
3/5 of 160 is 96
04 - 12 x 4 + 23 is 79
it is greater than 79 and less than 96
79 < x < 96
now find numbers between these 2 numbers that have digits adding to 14.
8+6 and 9+5
The problem included that the number must be odd and so the answer is 95
helpppppppppppppppppppppppppppppppppppppppppppppppppppp
*PUZZLE*
Rules:
1: Put the number in the circle such that the sum of each line should be the same.
2: All numbers must be used.
3: All numbers use once
Numbers: 1, 2, 3, 4, 5, 7, 8, 9
Hint: The answer should be between
15- 25
Answer:
Step-by-step explanation:
Order the steps to solve the equation
log(x^2-15)= log(2x) form 1 to 5
x^2-2x-15=0
Potential solutions are -3 and 5
x^2-15=2x
x-5=0 or x+3=0
(x-5)(x+3)=0
Answer:
Step-by-step explanation:
When the base of a logarithm is not specified, it is assumed that the base is 10. Therefore we have:
[tex]log_1_0(x^2-15)=log_1_0(2x)[/tex]
Intuitively you can see that if the two arguments inside of the logarithm equal each other, then both sides will be equal to each other. Therefore, you can say the following requirement:
[tex]x^2-15=2x[/tex]
Subtract 2x on both sides to get:
[tex]x^2-2x-15=0[/tex]
Use the quadratic formula to solve for 'x' to get:
[tex]x=(-b+\sqrt{b^2-4ac} )/2a[/tex]
[tex]x=(-b-\sqrt{b^2-4ac} )/2a[/tex]
Beginning with the first solution:
[tex]x=(-(-2)+\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]
[tex]x=2+\sqrt{4+60} )/2[/tex]
[tex]x=(2+\sqrt{64}) /2[/tex]
[tex]x=(2+8)/2[/tex]
[tex]x=5[/tex]
Second solution:
[tex]x=(-(-2)-\sqrt{(-2)^2-4(1)(-15)} )/2(1)[/tex]
[tex]x=(2-\sqrt{4+60} )/2[/tex]
[tex]x=(2-8)/2[/tex]
[tex]x=-6/2[/tex]
[tex]x=-3[/tex]
Since the 'x' value inside of the logarith is squared, the -3 is a valid solution. Ordinarily, the log function cannot take on negative values.
I need help with this so it said 36 is 9 times more than this number
Answer:
36 is 9 times more than 4
Step-by-step explanation:
9 * ?? = 36
to find the unknown number we solve:
36/9 = 4
so 9 times 4 equals 36
means that 36 is 9 times more than 4
HOPE THIS HELPS :)
Answer:
4
Step-by-step explanation:
9x4=36. I corrected both the guys before me who messed up
Abraham is three times as old as Sylvia.
In eight years' time, Abraham will be
twice as old as Sylvia. How old is
Abraham?
Answer:
24 years old
Step-by-step explanation:
let x = age of abraham, y = age of sylvia
x = 3y
x + 8 = 2y+16 => (2(y+8))
3y + 8 = 2y + 16
y = 8
x = 3(8)
x = 24
A stadium can seat `16000` people at full capacity.if there are `13920` people in the stadium, what percent of the stadium is full?
Answer:
87%
Step-by-step explanation:
13920/16000=0.87=87%
Jonathan is making his favorite pasta dish. His mom ate 2/7 of the pasta, and his brother ate 1/6 of the pasta. How much did they eat in all?
Answer:
23/42
Step-by-step explanation:
2/7 = 12/42
1/6 = 7/42
12/42 + 7/42 = 19/42
42/42 - 19/42 = 23/42
A football team loses 5 yards on each of 3 consecutive plays.
What signed number represents the team's total loss of yards on the 3 plays? Write you
Part A
answer in the space provided.
Part B
Explain how you found your answer. Write your answer in the space provided.
Part A
Using proportions, it is found that the signed number -15 represents the team's total loss of yards on the 3 plays.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, in one play, the team lost 5 years, that is, the amount is -5. What is the amount on three plays? The rule of three is given by:
1 play - -5 yards
3 plays - n yards
Applying cross multiplication:
n = 3 x (-5) = -15.
The signed number -15 represents the team's total loss of yards on the 3 plays.
More can be learned about proportions at https://brainly.com/question/24372153
Solve for x. Leave your answer in simplest radical form.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER
Answer:
x = 7
Step-by-step explanation:
I used the formula c^2 = a^2 + b^2
if you need further explanation,let me know
please someone do number 9
Answer:
2 4/5 kg.
Step-by-step explanation:
Multiply 7/2 (3 1/2) by 4/5
Can anyone help me with this problem?
Answer:
C
Step-by-step explanation:
pls tell me if im wrong
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.Mavis packs the box with cubes, each 2cm by2cm by 2cm,with no space left over. How many cubes does Mavis fit into the box?
Given -
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.i.e, length = 2cm, breadth = 4cm and height = 6cm
Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.i.e, side = 2cm
To find -
the number of cubes that can be fit into the rectangular box.Concept -
To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,
Volume of Rectangular Box = l × b × h
Volume cube = a³
where,
l = length b = breadthh = heighta = sideSolution -
[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]
[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]
Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
5
15/2
15/2
Given m
|| n, find the value of x and y.
Answer:
55 degrees
Step-by-step explanation:
well, x is on the same line as 125, and a line is always a straight 180 degrees, so you subtract 180-125=55, and angle x and angle y are corrisponding angles, so y also equals 55 degrees.
hope that helps!
Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = 16
Answer:
Slope of the line that is parallel: -1
Slope of the line that is perpendicular: 1
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-4x - 4y = 16 <== add 4x to both sides
+4x +4x
-4y = 4x + 16 <== divide both sides by -4
/-4 /-4
y = -x - 4
The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-1)
2. Flip it (-1/1)
3. Change the sign (1)
For a slope of -1, the reciprocal would be: 1
Hope this helps!
Convert to y=mx+b form
-4y=4x+16y=-x-4Slope:-
m=-1Parallel lines have equal slope
Perpendicular line's slope=1
on the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH
The equation y = 3x - 2 is a linear equation
Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2
How to determine the points?The rule is given as:
y = 3x - 2
Set x = 0
y = 3(0)- 2 = -2
Set x =1
y = 3(1)- 2 = 1
Set x = 2
y = 3(2)- 2 = 4
The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2
See attachment for the graph of the line y = 3x - 2
Read more about linear equations at:
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WHOEVER HELPS ME WITH THESE 4 QUESTIONS WILL GET 60 POINTS AND RIGHT AWNSERS I WILL RATE U BRAINLIEST thank u so much and pls hurry up i only have 7 min left! ( pls good explanation)
Answer:
34) 5 questions
35) 8 questions
36) 9 questions
37) 10 questions
Step-by-step explanation:
We could create an exponential function for this scenario, but it is quicker and easier to simply list the potential scores.
We are told that the initial score is 1.
We are told that the the score doubles each time.
Therefore, the scores in sequence are:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 ... etc.
34) 16 is the 5th term in the sequence, so 5 questions
35) 128 is the 8th term in the sequence, so 8 questions
36) 256 is the 9th term in the sequence, so 9 questions
37) 512 is the 10th term in the sequence, so 10 questions
