Answers
Answer:
[tex]\huge\boxed{\sf C = 12\pi \ mm}[/tex]
Step-by-step explanation:
Given that:Radius = r = 6 mm
Required:Circumference = C = ?
Formula:C = 2πr
Solution:C = 2(π)(6 mm)
C = 12π mm
[tex]\rule[225]{225}{2}[/tex]
Answer:
12π mm
Step-by-step explanation:
Circumference of a circle is given by the formula :
2πr
where r is the radius
We substitute our radius value from the diagram to find our answer:
2×π×r = 2×π×6
12×π = 12π
Units will me mm since this is a length
This is our final answer since we are told to leave it in terms of pi.
Hope this helped and brainliest please
Related Questions
what is the answer to 54785 plus 43543546546546
Answers
A water tank that initially contained 200 gallons of water is leaking water at a constant rate of 4 gallons per minute. For the amount of time the tank has water, which of the following function models gives the number of gallons, G. in the tank t minutes after the leak started?
a. g(t) = 196 - t
b. g(t) = 200 - 4t
c. g(t) = 200t - 4
d. g(t) = 200t - 4r^2
e. g(t) = 200(3/4)^t
Answers
Answer:
b. g(t) = 200 - 4t
Step-by-step explanation:
I don't know how to explain this, but here is the answer.
Please I need HELP!!!!!!
Answers
Answer:
I just need points I don't know your answer
Step-by-step explanation:
Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?
Answers
Answer:
One solutionStep-by-step explanation:
Given function:y = x² + 10x + 25This is a quadratic function.
A quadratic equation has:Two solutions if discriminant is positive;One solution if discriminant is zero;No solution if discriminant is negativeFind the discriminant of the given function:D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0This function has one solution since its discriminant is zero.
Answer:
one real solution
Step-by-step explanation:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]
Given function:
[tex]y=x^2+10x+25[/tex]
Therefore:
[tex]a = 1[/tex][tex]b = 10[/tex][tex]c = 25[/tex]Substitute the given values into the discriminant:
[tex]\implies 10^2-4(1)(25)=0[/tex]
As the discriminant equals zero, there is one real solution.
Tom has 12 candies and
eats 2 each minute. sue
has 6 candies and eats 1
every minute. after how
many minutes will they have
the same number of
candies?
Answers
Answer: once tom eats 6 candys he will have the same number as sue
Step-by-step explanation:
Answer:
After 6 minutes they will both have 0 candies.
Simplify the following radical expression.
√20
OA. 2√5
OB. 5√2
OC. 4√5
D. 10√5
OO
Answers
The solution of the given radical expression√20 using factorization is [tex]2 \sqrt{5}[/tex]. Therefore, the correct option for the radical expression√20 is option A, i.e [tex]2 \sqrt{5}[/tex].
A collection of constants, variables or numbers connected using one or more arithmetic operator is called an expression.
Example = 4y, 3x+4.
An expression containing the values in the form of square root, cube root is called a radical expression.
The breaking of a number into its own factors, so that they multiply to give the same number again, is called factorization.
Given expression, √20
The solution of the expression can be obtained by the factors of 20.
[tex]\sqrt{20} = \sqrt{2\times2\times5}[/tex]
[tex]\sqrt{20}[/tex] = [tex]2 \sqrt{5}[/tex]
Here, 2 and 5 are factors of 20.
Thus, the value of the radical expression [tex]\sqrt{20}[/tex] is [tex]2 \sqrt{5}[/tex].
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HELP ON 1 & 2 THANK YOU
Answers
[1] n = -2
We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"
19 decreased by four times a number is 17
19 - four times a number is 17
19 - 4 n is 17
9 - 4n = 17
-
9 - 4n = 17
- 4n = 8
n = -2
[2] x = -1, y = 3, or (-1, 3)
I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.
2y - 2x = 8
2(2x + 5) - 2x = 8
4x + 10 - 2x = 8
2x = -2
x = -1
Now, I will plug this value back into the equation and solve for y.
y = 2x + 5
y = 2(-1) + 5
y = -2 + 5
y = 3
(100 POINTS) Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.
Answers
Answer:
The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation
Evaluate l-x-2yl for x = -2 and y = 3.
Answers
Step-by-step explanation:
|...| means absolute value of "...". that means always the "+" value of "...", even if it is negative.
in other words
|-x| = x
|x| = x
|-x - 2y| for x = -2 and y = 3
|- -2 - 2×3| = |2 - 6| = |-4| = 4
Find the measures of the angles of an isosceles triangle where the ratio of the vertex angle to one of the base angles is 1:2.
Answers
Answer:
Angles of the isosceles triangle are 36°, 72° , 72°
Step-by-step explanation:
Vertex angle : Base angle = 1 : 2
Vertex angle = x
Base angle = 2x
Sum of all angles of a triangle = 180°
x + 2x + 2x = 180°
5x = 180
x = 180 ÷ 5
x = 36°
2x = 2 *36 = 72°
Angles of the isosceles triangle are 36°, 72° , 72°
1. suppose you purchased a new car for
$30,000 in 2015. if the value of the car
decreased by 8% each year, during what year
will the car be worth $10,000
Answers
$10000.00.
pls answer quickly, thanks!!
Answers
At the equilibrium price p, we can solve for the quantity of goods x :
demand = supply
5200 - 0.0005x = 2800 + 0.0003x
2400 = 0.0008x
x = 3,000,000
With this quantity of goods, the equilibrium price is
p = 5200 - 0.0005 (3,000,000)
p = 5200 - 1500
p = 3700
(Computer science)
The CPU fan rotation rate (R) was directly proportional to the ambient temperature (T). At a temperature of 25 degrees C, the CPU fan was rotating at 1150rpm. What would the rotation rate be for an ambient temperature of 30 degrees C?
Answers
Answer:1380
Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380
PLEASE HELP WILL PICK BRAINLIEST!!! 50 POINTS!!!!
AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides in AB a 1:2 ratio?
Answers
Answer:
See below ~
Step-by-step explanation:
Applying section formula :
⇒ x = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
⇒ y = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
We understand after substituting the values of the endpoints in the section formula that the Point X divides the line in the ratio 1 : 2.
One ball is selected at random from a bag containing 12 balls of which x are white
a) what is the probability of selecting a white ball?
when a further 6 were white balls were added the probability of selecting a white ball is doubled
b) Find x
Answers
Answer:
a) 12/18
b) 6
Step-by-step explanation:
If adding 6 white balls doubles the probability then the original amount of balls is 6 and with the new amount of 18, the likelihood of picking a white ball becomes 12/18.
1) the length of a rectangle is equal to triple the width. if the perimeter of the rectangle is 86 centimeters, what
are its dimensions?
Answers
Step-by-step explanation:
the perimeter is
2×length + 2×width = 86
length = 3×width
now we use the second equation as variable identity in the first equation :
2×3×width + 2×width = 86
6×width + 2×width = 86
8×width = 86
width = 86/8 = 43/4 = 10.75 cm
length = 3×width = 3×10.75 = 32.25 cm
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
Answers
Answer:
132°
Step-by-step explanation:
We use the circle theorem which states that :
Opposite angles in a cyclic quadrilateral add up to 180 .
Now we know that angles ADC and ABC add up to 180. So :
We make an equation and solve for x :
x+(3x-12) = 180
4x-12 = 180
4x = 192
x = 48
Now we substitute the value of x into Angle B :
3(48) -12 =
144 - 12 = 132
Angle B = 132 °
Hope this helped and have a good day
Please help :)))))))))))))
Answers
Answer:
\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)
Step-by-step explanation:
Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).
Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.
If that doesn't work, I might be interpreting this incorrectly.
Here.
Answer:
0.05, or 1/20
Step-by-step explanation:
So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05
Let me know which one works!
Warmest regards,
Sanjana
Professional 6th grader and quantum physics lover
Please help me i need this finish by the hour
Answers
Answer:
60
Step-by-step explanation:
2/3 of a number is 48. What is 1/4 of the number ?
Answers
Answer:
your answer will be 18
Step-by-step explanation:
2/3 of 72 is 48, 1/4 of 72 is 18
i need some extra words here so hopefully this works
Solve for h: h+4/-2=0.3 ([tex]h+\frac{4}{-2} =0.3[/tex])
Give Explanation please.
Answers
Answer: [tex]h=\frac{23}{10} =2.300[/tex]
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
[tex]h+\frac{4}{-2} -((\frac{3}{10} ))=0[/tex]
[tex]Simplify~ \frac{3}{10}[/tex]
[tex](h+\frac{4}{-2} )-\frac{3}{10} =0[/tex]
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
[tex]h-2=\frac{h-2}{1} =\frac{h-2x10}{10}[/tex]
Equivalent fraction: The fraction thus generated looks different but has the same value as the whole
Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:
[tex]\frac{(h-2)x10-(3)}{10} =\frac{10h-23}{10}[/tex]
[tex]\frac{10h-23}{10} =0[/tex]
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.
Here's how:
[tex]\frac{10h-23}{10} *10=0*10[/tex]
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
10h-23 = 0
Add 23 to both sides of the equation :
10h = 23
Divide both sides of the equation by 10:
h = 23/10 = 2.300
Final Answer: 2.3(decimal form) aka 23/10 (fraction)
f(x) = x g(x) = 1
What is the domain of ( g/f ) (x)?
Answers
Answer:
Step-by-step explanation:
First one- x=0
Second=All real numbers
a straight line has gradient -2 and passes through the point (-3 , 10).
work out the equation of the line
give your answer in the form y=mx+c
Answers
Answer:
y = 4 - 2x
Step-by-step explanation:
That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4
In a bag, there are red and blue cubes in the ratio 4 : 7
red blue
4;7
I add 10 more red cubes to the bag.
Now there are red and blue cubes in the ratio 6 : 7
red blue
6;7
How many blue cubes are in the bag?
Answers
The number of the blue cubes is 35 and the number of the red cubes is 20.
What is the ratio?The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times the other number.
Given that:-
In a bag, there are red and blue cubes in the ratio of 4: 7I add 10 more red cubes to the bag. Now there are red and blue cubes in the ratio of 6: 7The number of the blue cubes are calculated as:-
The two equations will be formed by the given data in the question.
[tex]\dfrac{r}{b}=\dfrac{4}{7}[/tex]
7r = 4b
[tex]\dfrac{r+10}{b}=\dfrac{6}{7}[/tex]
7r + 70 = 6b
Solving the above equation we will get the value of b.
4b + 70 = 6b
6b - 4b = 70
2b = 70
b = 35
7r = 4b
7r = 4 x 35
r = 20
Therefore the number of the blue cubes is 35 and the number of the red cubes is 20.
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A bag has 4 red marbles,5 blue, 3 green and 1 yellow. what is the probability of pulling a red marble.
Answer as a fraction, decimal and percent
Answers
Answer:
4/13 is the answer
total = 4+3+5+1= 13
let a be the event of getting red marbles= total is 4
probability=4/13
number of red marbles = 4
number of blue marbles = 5
number of green marbles = 3
number of yellow marbles = 1
total number of marbles = 4 + 5 + 3+1 = 13
Probability of pulling a red marble is ,
P (red marble ) = number of red marbles/total number of marbles
P(red) = 4/13
Hence ,
As a fraction the probability is 4/13
As a decimal , the probability is 4/13 = 0.307
And as a percent , probability = 4/3 x 100 = 30.7
2.) which number could not be a value of y if:
y = 4x2-6
a.) 30
b.) 10
c.) -6
d.)-12
Answers
The number that could not be a value of y if y = 4x² - 6 is -12.
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
i.e.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
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Answer:
-12 is the answer.
A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F. Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form. (2 points) Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points) Part C: In January 1989, the temperature in Nome, Alaska dropped to −49° F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not? (4 points)
I need part b
Also I need it asap please and thanks
Answers
The answers to the options are:
The inequality that represent the temperatures is -40°F < x <140°FOpen interval −49° F is not in the interval of -40°F ad -140°F and as such, he cannot drive.What is the inequality of the temperature?This inequality is known tp imply that the normal body temperature is taken (subtracted) from the minimum and maximum body temperature.
Note that in case A, the The inequality that represent the temperatures is less than sign.
In case b, it is an open interval because it means that in -40°F to -140°F , it is not equal to as that is the reason that the gas cannot stay liquid.
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X+17=38 which property is included in the justification for the steps used to solve the equation?
Answers
Looking at the problem statement, the question is asking for us to determine the justification for the steps that are used to help solve the equation. We are given the expression [tex]x + 17 = 38[/tex] to help achieve that goal.
Now that we know what we must do to finish this problem let us look how this equation can be solved. When the term solve the equation is used it refers to us solving for the unknown, in this case being the variable x. We can see that we have [tex]x + 17[/tex] on the left side and in order to solve the equation x must be alone so we would subtract 17 from both sides.
Subtract 17 from both sides
[tex]x + 17 = 38[/tex][tex]x + (17 - 17) = (38 - 17)[/tex][tex]x = (38 - 17)[/tex][tex]x = 21[/tex]Therefore, we know that we must subtract the same number from both sides and this justification is known as the Subtraction Property of Equality. This basically states that an equal value needs to be subtracted from both sides and it will become a new equation but with the same result.
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Given: x + 17 = 38
Algebraic Properties:
Addition: If a = b, then a + c = b + c
Subtraction: If a = b, then a - c = b - c
Multiplication: If a = b, then ac = bc
Division: If a = b, then a ÷ c = b ÷ c
To solve this equation, we know that we need to isolate the variable x. To do this, we need to subtract 17 from both sides to isolate x.
This is also known as the subtraction property of equality, which states that when the same thing is subtracted from both sides of an equation, the equation will still be balanced.
Subtract 17 from both sides:
x + 17 - 17 = 38 - 17
⟹ x = 21
Therefore, the subtraction property of equality is included in the steps used to solve this equation.
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1. What is the slope of a line that is parallel to the line represented by the equation y=-2/5x + 4/5
Answers
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of the line that is parallel to the line [tex]\star~\mathrm{y=-\cfrac{2}{5}x+\cfrac{4}{5}}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Parallel lines have the same slope.So let's first determine the slope of the first line, and then let's find the slope of the line that's parallel to it.
[tex]\circ\!\!\!\star\mathcal{HINT:}[/tex]
The slope is the coefficient of x.So the slope is
[tex]\star~\mathrm{-\cfrac{2}{5}}[/tex].
Can you guess the slope of the line that is parallel to the first line?
That's right! The slope is...
[tex]\star~\mathrm{-\cfrac{2}{5}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Identify the degree of the polynomial 6xy2 − xy + 8 + 12y.
Answers
Answer: Three
Step-by-step explanation:
I am going to assume the first value is 6xy² and not 6xy2
6xy² − xy + 8 + 12y
The term with the highest degree is 6xy² because it has three x and y variables (x + y + y is three).
The degree of the polynomial is the same as the degree of the highest term, so your answer is:
three
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