A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
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Type the expression that results from the following series of steps:
Start with x, subtract 6, then times by 3.
Answer:
(x-6)3
hope it helps
One angle of an isosceles triangle measures 50°. Which other angles could be in that isosceles triangle? Choose all that apply
Answer:
Step-by-step explanation:
A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day.
N(t)=50t/t+4
E(t)= 70t/t+3
Which function describes the difference of the number of components assembled per day by the experienced and new employees?
A. D(t)= 10t(2t+13)/t+3
B. D(t)= 10t(2t+13)/ (t+4)(t+3)
C. D(t)= 10t(2t-13)/t+4
D. D(t)=10t(2t-13)/ (t+4)(t+3)
The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)
Here we perform subtraction :
D(t) = N(t) - E(t)
N(t) = 50t / (t+4)
E(t) = 70t / (t+3)
The difference :
D(t) = E(t) - N(t)
D(t) = [70t / (t+3)] - [50t / (t+4)]
The L.C.M of (t+3) and (t+4) is (t+3)(t+4)
[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)
70t² + 280t - [50t² + 150t] / (t+3)(t+4)
[70t² + 280t - 50t² - 150t] / (t+3)(t+4)
20t² + 130t / (t+3)(t+4)
D(t) = 10t(2t + 13) / (t+3)(t+4)
The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)
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Answer:b
Step-by-step explanation:
plato
Can someone explain the answer?
Chanasia buys a plastic bucket. The bucket weighs 460 g. The label on the bucket says made with 20% recycled plastic. How many grams of recycled plastic are used to make Chanasia’s bucket?
Answer:
92
Step-by-step explanation:
20% of 460 is 92 so it would be 92
Help please 10 points
Answer:
200
Step-by-step explanation:
basically, all you have to do is plug in 30 for n. You would get -3 + 7(30-1), and then you would get -3 + 7 x 29, and then you would get -3 + 203, and the final answer would be 200
Select the zeros of the function
Answer:
Zeroes are where y=0 (x-intercepts)
I think they are expressed as just the x values since the y value can only be zero, but I could be wrong
the zeroes are at x=-6 and x=-2
so (-6, 0) and (-2, 0)
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Answer:
Number of dolphins in zoo * number of fish per dolphin.
Step-by-step explanation:
Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them
Given that:
Number of dolphins = 5
Fish in bucket is distributed equally ; hence, Number of fish per dolphin = 4
To obtain the initial number of fish in bucket before hansen began to feed the fishes :
Number of fish in bucket before hansen feeds then :
Number of dolphins in zoo * number of fish per dolphin.
5 * 4 = 20
Question 2
Write true or false for each of the following
statements:
2.1
1 is the smallest uneven prime number
Answer:
false, 1 is not the smallest uneven prime number as it is not a prime number, prime numbers have 2 and only 2 factors whereas 1 only has 1 factor, as well as this, you can have negative prime numbers
Answer:
False one is not the smallest uneven prime number
Select the best term from the box to complete the sentence.
A three-dimentional figure having length, width, and height is called a ___?___
You do not list what the choices are but it can be one of these:
A solid figure
A space figure
PLLLZZ HHEELLPPP! QUESTION IS BELOW!
Answer:
32°Step-by-step explanation:
The two given angles are complementary, it means they add to 90°Find x:
2x + 10 + x + 8 = 903x + 18 = 903x = 72x = 24Find Y:
m∠Y = x + 8 = 24 + 8 = 32°MP Model with Mathematics There was a big snowstorm overnight that dumped 12 inches of snow on Math Town. Luckily, it got a lot warmer, and 0.5 inch is melting each hour. The snow is now less than 5 inches deep. Write an inequality to determine how many hours have passed since the snow started melting.
Answer:
10 hours
Step-by-step explanation:
do 0.5 and add it until you get to 5. the number of times i added it was the answer
A principal wants to find out if her school needs more bike racks. A survey is taken of 30 students who ride the bus. Why might the sample be biased? Describe in words how a sample could have been done that is more representative of the entire school.
Answer:
The students who ride the bus most likely won't use the bike racks so it doesn't impact them and they probably don't know if they need more bike racks.
Step-by-step explanation:
A swimming pool measures 10 feet by 8.5 feet by 5 feet. How many cubic feet of water will the swimming pool hold?
Answer:
425 Cubic Feet
Step-by-step explanation:
Cubic feet is volume meaning that in order to find the volume you must multiply the length, width and the height. The answer is 425
The swimming pool will hold 425 cubic feet of water.
What is the volume of a rectangular prism?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
To find the volume of the swimming pool in cubic feet, we need to multiply the length, width, and height of the pool:
The volume is calculated as,
Volume = length x width x height
Volume = 10 ft x 8.5 ft x 5 ft
Volume = 425 cubic feet
Therefore, the swimming pool will hold 425 cubic feet of water.
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5-7. These problems refer to rolling a number cube, then spinning a spinner with the letters A-H on it. Find each probability. Show all work.
5. P(rolling a 2, spinning an A) _________
6. P(rolling an even number, spinning a vowel) _________
7. P(rolling a number less than 3, spinning a consonant)
no
Answer:
5) P(2 AND A) = 1/6 x 1/8 = 1/48
6) P(even AND vowel) = 1/2 x 2/8 = 1/8
7) P(LT 3 AND not vowel) = 2/6 x 6/8 = 1/4
Step-by-step explanation:
1. P( 2, spinning an A) = 1/48
2. P( even number, spinning a vowel) = 1/8
3. P( number less than 3, spinning a consonant) = 1/4
What is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Given:
Combining the spinning of an A-H spinner with the rolling of a number cube
1. P(rolling a 2, spinning an A)
= 1/6 x 1/8
= 1/48
2. P(rolling an even number, spinning a vowel)
= 1/2 x 2/8
= 1/8
3. P(rolling a number less than 3, spinning a consonant)
= 2/6 x 6/8
= 1/4
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Please answer this I have a test
Answer:
Step-by-step explanation:
1)scale is 1 inch=9 feet
4 inches*9= 36 feet
10 inches*9=90feet
it is 36 feet by 90 feet
2)scale is 1 inch=5 feet
4 inches*5=20 feet
it is 20 feet
3)scale is 1:12
14 inches*12=168
it is 168
What is 1,872,521 rounded to the nearest thousand?
Answer:
1,873,000
Step-by-step explanation:
Answer:Rounded to the nearest thousand is the 4th number. Since the 3 numbers past the 2 is over 500, the rounded number would be 1,873,000.
Step-by-step explanation:Have a great day
What are the factors 60 that add up to 17? *
Write a linear equation in slope- intercept form given 2x +5y =35
Answer:
(0,−7)
Explanation:
To find the y-intercept of an equation, set x equal to 0 and solve: In the case of 2x−5y=35, let's replace all instances of x in the equation with 0 and solve for y: 2(0)−5y=35−5y=35−5y−5=35−5
y=−7
Thus, the y-intercept is at (x y)=
(0,−7).
Raquel drew a scatter plot to show the relationship between the length, in inches, and weight, in pounds, of metal bars in her shop. Using regression, Raquel fit a line to her scatter plot as shown below.
y = 73x
y = 43x
y = 34x
y = 37x
Answer:
y=3/7x
Step-by-step explanation:
The equation from the given graph is y=3/7 x. Therefore, option D is the correct answer.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
From the given figure,
The slope of a line is 3/7 and the y-intercept is c=0
Substitute m=3/7 and c=0 in y=mx+c, we get
y=3/7 x+c
y=3/7 x
Therefore, option D is the correct answer.
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Please please help me
Solving Quadratic Equations
Directions: Solve the following quadratic equations using the quadratic formula. Show your work
and all answers must be in simplest radical form.
I
a. x2 - 2x - 15 =0
b. x2 + 8x - 10 =0
Answer:
a) x= 5 or x= -3
b) x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]
Step-by-step explanation:
a) [tex]x^{2}[/tex] - 2x - 15 =0
x = [tex]\frac{-(-2) +\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex] or [tex]\frac{-(-2) -\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]
x= 5 or x=-3
b) [tex]x^{2}[/tex] + 8x - 10 =0
x = [tex]\frac{-(8) +\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex] or [tex]\frac{-(8) -\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]
x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]
How many degrees is angle x?
Answer
127
Step-by-step explanation:
First add 42 and 85. Then do 180-(42+85) to get w. Then do 180-w to get x as a line always equals 180
It’s not 12 but what goes on the green box?
Answer:
9
Step-by-step explanation:
Use exponential rules: add the exponents when multiplying, subtract the exponents when dividing.
Answer:
3^9
Step-by-step explanation:
- Rewrite the division as a fraction. 3^8x3^3/3^2
- Multiply
3^8 by 3^3 by adding the exponents.
3^11/3^2
- Cancel the common factor of 3^11 and 3^2
3^9
Please help will give brainliest
Answer:
For one I think the answer is 14 and my brothers name is ethan!
Step-by-step explanation:
Please please help help me please please ASAP ASAP please
Answer:1.b 2.i think 5x5 3.a
Step-by-step explanation:
there your ANWERS
find the slope and y intercept for this problem: -2y= -16x+8
Answer:
Step-by-step explanation:
The slope intercept form of a line is y=mx+b where m=slope and b=y intercept so we can solve for y from what you were given.
-2y=-16x+8
y=8x-4
So the slope is 8 and the y intercept is -4.
why is it important to know the shape of the base of the pyramid
Answer:The pyramid had sloping sides so that the dead pharaoh could symbolically climb to the sky and live forever. The pyramid represented the rays of the Sun I hope this helps
Step-by-step explanation:
If you can answer BOTH CORRECTLY you'll get brainliest
Answer:
Sorry the pictures re not clear. Could u zoom in? :)