Answers
Answer:
10 Inches
Hope it helps, have a fantastic day.
Step-by-step explanation:
The Circumference of a circle can be displayed by this formula:
[tex]C = 2\pi r[/tex]
[tex]C[/tex] is the circumference, and [tex]r[/tex] is the radius.
So just plug in 31 for [tex]C[/tex], and simplify:
[tex]31 = 2\pi r[/tex]
Because the question is asking for the diameter, we only need to divide both sides by pi, as [tex]2r[/tex] is the same thing as diameter.
[tex]9.87 = 2r[/tex] (rounded to the nearest hundredth)
We can even rewrite [tex]2r[/tex] as [tex]d[/tex], which stands for diameter, to make things a little simpler.
[tex]9.87 = d[/tex]
Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.
Hope it helps, have a fantastic day.
Related Questions
PLEASE HELP MEE ANSWER THIS
Answers
Volume of a Rectangular Prism = length x width x height
Length = 4
Width = 2
Height = a
Volume = 7.2
7.2 = 4 x 2 x a
7.2 = 8 x a
a = 0.9
Answer: a = 0.9
Hope this helps!
Answer:
a = 0.9 cm
Step-by-step explanation:
Volume of a rectangular prism: L*W*H
L = 4 cmW = 2 cmH = a cmV = 7.2 cm³Substitute the values above into the formula:
V = L*W*H
7.2 = 4*2*a
7.2 = 8a
/8 /8
0.9 = a
Therefore, the value of a is 0.9 cm.
Hope this helps!
Determine the measure of LUXW in the diagram.
Y
66°
U
W
X
The measure of LUXW is
57°
Z
Answers
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
__
Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
Find the equation of the line passing through the points (−4,−7) and (−4,−6).
Your answer should take the form x=a or y=a, whichever is appropriate.
Answers
Answer:
y=x-7
Step-by-step explanation:
Rise over run
-6-(-7)
---------- = 0
-4-(-4)
Point Slope form
y+7=0(x+4)
Y=MX + B
y=x-7
The equation of the line passing through the points (−4,−7) and (−4,−6) in the form of a will be a + 4 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The equation of the line passing through the points (−4,−7) and (−4,−6) will be
y + 6 = [(−6 + 7) / (−4 + 4)] (x + 4)
y + 6 = (1/0)(x + 4)
x + 4 = 0
Put x = a, then the equation will be
x + 4 = 0
a + 4 = 0
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Look at the street map. What street intersects with Polk Street?
A. Union Street
B. Church Street
C. Geary Street
D. Fulton Blvd.
Answers
Answer:
Geary street :D
they intersect here
click on the photo. it's not a link it's a screenshot of where they intersect
A midpoint approximation of the area under the curve f(x) = 2x(x-4)(x-8) over the interval [0, 4] with 4 subintervals is 120. 132. 160.
Answers
The midpoint approximation of the area under the curve f(x) = 2x(x-4)(x-8) over the interval [0, 4] with 4 subintervals is 132.
How to calculate the midpoint?The value of f(1/2) will be:
= 2(1/2)(1/2 - 4)(1/2 - 8)
= 105/4
The value of f(3/2) will be:
= 2(3/2)(3/2 - 4)(3/2 - 8)
= 195/4
The value of f(5/2) will be:
= 2(5/2)(5/2 - 4)(5/2 - 8)
= 165/4
The value of f(7/2) will be:
= 2(7/2)(7/2 - 4(7/2 - 8)
= 63/4
Therefore, the midpoint approximation will be:
= 1/4(105 + 195 + 165 + 63)
= 132
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Tickets are $10 for adults, a, and $5 for students, s, and they expect that twice as many students as adults will attend Their goal is to earn $1,500 from ticket sales. Write a system of equations to model the ticket sales, assuming the student councll> meets their goal. Use the model to determine the number of adult tickets and student tickets they expect to sell. Show work.
Answers
Using a system of equations, it is found that they expect to sell 175 adult tickets and 350 student tickets.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable a: Number of adults that attend.Variable s: Number of students that attend.They expect that twice as many students as adults will attend, hence:
s = 2a.
Their goal is to earn $1,500 from ticket sales, hence:
10a + 5s = 1500.
10a + 5(2a) = 1500.
20a = 1500.
a = 1500/20.
a = 175.
s = 2a = 2 x 175 = 350.
They expect to sell 175 adult tickets and 350 student tickets.
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Easy 30 points ……………
Answers
Answer:
D.
Step-by-step explanation:
it should be the sales tax because you pay a little bit more.
4u(y+6) + a(y+6) in factored form
Answers
Answer:
( 4u + a ) + ( y + 6 )
Step-by-step explanation:
4u(y+6) + a(y+6) ...
The answer is ( 4u + a ) + ( y + 6 )
The inverse of the function f(x) = 1/2x+10?
Answers
Answer:
f'(x) = 2x - 20
Step-by-step explanation:
f(x) = 1/2 x + 10
Switch x and y.
y = 1/2 x + 10
Solve for y by itself.
x = 1/2 y + 10
x - 10 = 1/2 y
y = 2 * (x - 10)
f'(x) = 2x - 20
Graph the equations to find the solution(s) to the system. y=x+3y=13(x+5)(x−1) Use the Line tool to graph the line. Use the Parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.
Answers
The solutions to the equations are (1.702,4.7) and (-4.7,-1.7).
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The two given equations ( x + 3 ) and ( 13 ( x+5)(x-1) intersects at the ponits (1.702,4.7) and (-4.7,-1.7).
The graph of the above equations is attached with an answer.
Therefore the solutions to the equations are (1.702,4.7) and (-4.7,-1.7).
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x^2+4x-4=0
Solve by factoring.
Answers
Answer:
1) As it is the coeficient of x² is 1, we need to find two numbers whose Sum S(x)=3 and the same numbers whose product is 2, P(x)= 2
S(x) = ( ) + ( ) =3
P(x) = ( ) * ( ) =2
S(x) = ( 2 ) + ( 1 ) =3
P(x) = ( 2 ) * ( 1 ) =2
These numbers in bold will be coeficients of x.
Rewrite the Trinomial x²+ 3x +2 as x² +2x+1x+2
So x²+3x+2 =x²+2x+1x+2
x² +2x+x+2 Put the x in evidence
x(x+2)+1(x+2) Find the Maximum Common Divider
(x+1)(x+2)
2) x²+x-6=0
Applying the same procedure. Which two integer number whose sum is 1 and whose Product is -6?
S(x) = ( 3 ) + ( -2 ) =1
P(x) = ( 3 ) * ( -2 ) =-6
Rewrite
x²+x-6
x²+3x-2x-6 Group them
x(x+3)-2(x+3) Common Term
(x+3)(x-2)
3) Since the a coeficient is ≠ 1, a little adjustment must be made on our algorithm for -2x²+4x+30=0
Firstly multiply a*c, in this case -2 * 30 = -60
Which two numbers multiplied by themselves will turn out to be -60 and whose sum is -60? Since we're working with integers factoring out may be very helpful.
P(x)= ( 10 ) * ( - 6 ) = -60
S(x) = ( 10 ) + ( -6 ) = 4
Rewriting
-2x²+10x-6x+30 Group them
2x(x+5) -6(x+5)
(2x-6)(x+5) Inserting the -1 to finally adjust
-1(2x-6)(x+5)
4) Explanation is the same principle as a≠1
3x²+4x-4=0
P(x) = ( 6 ) * (-2 ) = -12
S(x) = ( 6 ) + ( -2 ) = 4
3x²+4x-4 = 3x²+6x-2x-4
3x²+6x -2x+4
3x(x+2)-2(x-2)
(3x-2)(x+2)
The other ones are just applications of these, above.
Step-by-step explanation:
need help with this math
Answers
Answer :
It will take 5 hours for Rachel to catch up with Nick.Explaination :
Here we are given with two equations,
f = 7h + 20 (Equation No 1)f = 10h + 5 Equation No 2)So in order to calculate the number of hours (h). We would simply substitute the value of f in first equation. (i.e., keeping them equal)
>> 7h + 20 = 10h + 5
>> 10h - 7h = 20 - 5
>> 3h = 15
>> h = 15 / 3
>> h = 5
convert 32 table spoons to cup
Answers
Answer:
2 cups
Step-by-step explanation:
Formula: divide the volume value by 16
so its 32 divided by 16
What is 3/4 of two gallons
Answers
Answer:
1.5 gallons
Step-by-step explanation:
(3/4) × (2 gallons) = 1.5 gallons
HOPE THIS HELPS AND HAVE A NICE DAY <3
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
This is 8th grade
algebra btw
Answers
Answer:
V = 2143.57
Step-by-step explanation:
To find the volume of a sphere you need to use this formula:
[tex]V = \frac{4}{3}\pi r^{3}[/tex]
r = radius
Solve:
You need the radius from the diameter. Divide 16/2 which is
8.
[tex]V = \frac{4}{3}(3.14) 8^{3}[/tex]
V = 2143.57
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?
y = -x - 1
y = x + 3
A. (-2, 1)
B. (-1, 2)
C. (0, 3)
D. (0, -1)
Answers
Answer:
Step-by-step explanation:
x + 3 = -x - 1
2x + 3 = -1
2x = -4
x = -2
y = -2 + 3
y = 1
(-2, 1)
answer is A
Solve the radical equation.
X+4=√x+10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
O Neither -1 nor -6 is a true solution to the equation.
The answer is c
Answers
Step-by-step explanation:
that kind of wording is always misleading.
please give my regards and comments to your teacher.
a square root has ALWAYS 2 solutions : a positive AND a negative one.
in that sense the negative solution to a square root is NOT an extraneous solution.
only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.
so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.
so,
x + 4 = sqrt(x + 10)
since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.
x = -1
-1 + 4 = sqrt(-1 + 10)
3 = sqrt(9) = 3 (actually, it is ±3)
so, x = -1 is a real solution.
x = -6
-6 + 4 = sqrt(-6 + 10)
-2 = sqrt(4) = 2 (actually, it is ±2)
so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),
x = -6 is an extraneous solution.
therefore, the third answer (c) is the "correct" answer.
but actually, formally, the second answer (b) is the truly correct answer.
A textbook has `428` numbered pages, starting with 1.
You are equally likely to stop on any of the pages if you flip through the book randomly.
If you repeat this experiment `50` times, about how many times do you expect to turn to an even-numbered page?
Answers
There are 7 red marbles and 8 blue marbles in a bag. (a) What is the ratio of blue marbles to all marbles in the bag? (b) What is the ratio of blue marbles to red marbles?
Answers
Answer: (a) 8 : 15 (b) 8 : 7
Step-by-step explanation: all marbles is 8+7 = 15
ratio of blue marbles to ALL marbles
8 : 15
ratio of blue marbles to red
8 : 7
A bottle contains 3.6 liters of water, water drips out of the bottom of the bottle at a rate of 20 millilitres per minute, work out how long it takes for the bottle to empty, give your answer in hours.
Answers
Answer: 3 hours
Step-by-step explanation:
Bottle = 3.6 liters / 3600 milliliters
Rate = 20 ml a minute
3600 / 20 = 180 minutes
60 minutes = 1 hour
180 / 60 = 3 hours
there are light-bulbs at the factory
Answers
nice. are they filament lightbulbs or fluorecent lightbulbs
A student would like to estimate the mean length of words in a book report he just finished writing. He selects a random sample of 20 words and determines the mean length to be 4 characters. Later, he discovers how to use a built-in function of his word-processing program that reveals that the mean length of all words in his book report is 4.3 characters. Which of the following describes the number, 4.3?
sample
statistic
population
parameter
Answers
Answer:
Parameter
Step-by-step explanation:
A statistic is a piece of data we derive from analyzing the data from a sample, a subset of a larger population. A parameter is derived from analyzing that population. Here, we would call the mean of the sample - 4 - a statistic, and the mean of the population - 4.3 - a parameter.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
The area of the training field to the nearest whole number is 8719 msq. meter
Area of composite solidThe given field is made up of a rectangle and 2 semi circles. The formula for calculating the area of the field is:
Area of the field = area of circle + area of rectangle
Area of field = 3.14(32)² + (86)(64)
Area of field = 3215.36 + 5504
Area of the field = 8719 msq. meter
Hence the area of the training field to the nearest whole number is 8719 msq. meter
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Simplify the expression below as much as possible.
(7-i) + (5 + 3i) - (-3 + 2i)
A. 15
OB. 9
O C. 15-4i
OD. 9-4i
Answers
answer: 15
steps:
i means √-1
but in this problem treat
i like x
(7-i) + (5 + 3i) - (-3 + 2i) =
(7-i) + (5 + 3i) +3 - 2i
7-i + 5 + 3i +3 - 2i =
7-i + 5 + 3i +3 - 2i
7+5+3-i+3i-2i
7+5+3+2i-2i
7+5+3 =
15
38. Evaluate the expression
52 - (3²+4)
Answers
3 squared is 9 and add 4 to get 13
Do 52 minus 13 to get 39
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0) (4,-2)
Answers
Answer:
y = -2x
Step-by-step explanation:
From the figure, the given line passes through the points (0, 0) and (-4, 8).
Recall that the equation of a straight line is given by
Thus, the equation of the given figure is given by
-4y = 8x
Therefore, the answer is y = -2x.
A dance CD has 10 songs on it - 8 are slow, and 2 are fast. When the DJ at a dance plays a song it is not played again. All songs from the CD are played at random.
What is the probability that the first two songs played are slow songs?
Answers
The probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.
To calculate the probability that the first two songs played are slow songs, we need to consider the total number of ways the first two songs can be selected and the number of ways to choose two slow songs out of the eight available.
Given:
Total number of songs = 10
Number of slow songs = 8
Step 1: Calculate the total number of ways to choose two songs out of ten (without replacement), which is represented by "10C2" (combinations of 10 things taken 2 at a time):
10C2 = (10 * 9) / (2 * 1) = 45
Step 2: Calculate the number of ways to choose two slow songs out of eight:
8C2 = (8 * 7) / (2 * 1) = 28
Step 3: Find the probability that the first two songs played are slow songs by dividing the number of favorable outcomes (choosing two slow songs) by the total number of possible outcomes (choosing any two songs from the CD):
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 28 / 45 ≈ 0.622
So, the probability that the first two songs played are slow songs is approximately 0.622 or 62.2%.
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“Solve the following system of equations using the method of substitution.” Please help!!!
Answers
Answer: -17/4
Step-by-step explanation:
Find the tangent of the angle indicated by each of the following right angle triangles.
Answers
Answer:
56.31 degrees
Step-by-step explanation:
6 = opposite and 4 = adjacent
Tan = opposite over adjacent
Tan(theta)=6/4
=56.30993247
please help will mark Brainliest!!
Answers
Answer:
Because -4 is 4 units away from 0.
Step-by-step explanation:
Answer:
A
Step-by-step explanation: