Maria found a circular rug for her floor. The rug has a circumference of 50.24 inches. Which formula should Maria use to help her find the diameter of the rug?
Answers
Answer:
She should use the formula \(C = \pi d\) to find a diameter of 16 inches.
Step-by-step explanation:
The circunference of a circle is given by:
\(C = 2\pi r\)
In which r is the radius, which is half the diameter. So, it can also be given by the following formula:
\(C = 2\pi \frac{d}{2} = \pi d\)
In which d is the diameter.
Which formula should Maria use to help her find the diameter of the rug?
She should use this formula:
\(C = \pi d\)
Since the circunference is 50.24 inches, the diameter will be of:
\(d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16\)
Related Questions
Find the zeros of the function y=x(x+2)(x-4)
Answers
Answer:
first x= -2
second x= 2
third x= 4
Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table.
Answers
Answer:
Step-by-step explanation:
Turner helped his grandfather build a raised garden bed for Tanner’s grandmother. The bed is shaped like a rectangular prism that is 4 1/2 feet wide and a half of a foot tall. Turner and his grandfather use 18 bags of topsoil, each containing three force of a cubic foot, to feel the bed completely. How long is the garden?
Answers
The length of the garden containing the soil is L = 24 feet
Given data ,
Volume = Length x Width x Height
Width = 4 1/2 feet
Height = 1/2 foot
Total volume of topsoil used = 18 bags x 3 cubic feet/bag = 54 cubic feet
So , the length of the garden is
54 = Length x 4 1/2 x 1/2
On simplifying , we get
54 = Length x 9/2 x 1/2
Now, let's simplify the right-hand side by multiplying the numerator and denominator by 2
54 / (9/2 x 1/2) = The length of the garden
The length of the garden = 54 /9 x 4
The length of the garden = 6 x 4
The length of the garden = 24 feet
Hence , the length of the garden bed is 24 feet
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when 30 is subtracted from 14 times of a number the result is 20 more than 4 times that number what is the number
Answers
Answer:
number is 5
Step-by-step explanation:
let the number be n, then
30 subtracted from 14 times the number is
14n - 30
the result is 20 more than 4 times the number, that is
4n + 20
the equation is then
14n - 30 = 4n + 20 ( subtract 4n from both sides )
10n - 30 = 20 ( add 30 to both sides )
10n = 50 ( divide both sides by 10 )
n = 5
the number is then 5
The area of a parallelogram is 40 square inches. The base of the parallelogram is 5 inches. What is the height of the parallelogram? Explain how you can use the formula for the area of a parallelogram to solve the problem.
Answers
The height of the parallelogram is 8 inches. By using the formula for the area of a parallelogram, we were able to find the missing value (height) by rearranging the formula and plugging in the given values.
To find the height of the parallelogram, we can use the formula for the area of a parallelogram, which is Area = Base × Height (A = b × h). In this problem, the area (A) is given as 40 square inches, and the base (b) is 5 inches. We need to find the height (h).
Using the formula, A = b × h, we can plug in the given values:
40 = 5 × h
To solve for h, we can divide both sides of the equation by 5:
40 ÷ 5 = 5 × h ÷ 5
8 = h
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Using the picture above find m
Answers
Answer:
m<ZWF = 11.5°
Step-by-step explanation:
Given:
m<N = 23°
Required:
m<ZWF
Solution:
Recall: Inscribed angle theorem states that an inscribed angle in a circle is equal to half of the central angle in a circle with the same subtended arc.
<ZWF is an inscribed angle
<N is a central angle
Therefore,
m<ZWF = ½(m<N)
Plug in the value into the equation and solve
m<ZWF = ½(23)
m<ZWF = 11.5°
Indicate below whether the equation in the box is true or false.
2
10 = 20
A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
10 is not equal to 20.
Determine wheather the given lines are parallel or not. Write the reasons .
Answers
Answer:
yes it is parallel because the alternate interior angles are equal
Long division: 2/ 2769
Answers
Answer:
1384.5
Step-by-step explanation
Diviseion is just the oppisite of multiplication so you can think to yourself that what times two equals 2769. If you multiply 1384.5 on a calculater you get 2769.
Find value of b and A
Answers
Answer:
Hi
Step-by-step explanation:
Please paste your question so I can solve it
Thanks
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
Answers
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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find the range of this equation
Answers
The range of the given equation is [-1, infinity).
We are given that;
Equation y= underroot(x+5)
Now,
The domain of this equation is the set of x values that make the expression under the square root non-negative.
That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).
The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.
Therefore, by the range the answer will be [-1, infinity).
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Solve for the missing side in the right triangle.
A) 5
B) 12
C) 13
D) 17
Answers
Answer:
c) 13
Step-by-step explanation:
\( {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {12}^{2} = {c}^{2} \\ 25 + 144 = {c}^{2} \\ 169 = {c}^{2} \\ c = 13\)
Answer:
C) 13
Step-by-step explanation:
Using the formula: \(a^{2} +b^{2}=c^{2}\), we can plug in 5 into a and 12 into b, since c is always the hypotenuse. Plug those numbers into the formula: \(5^{2} + 12^{2} =c^{2}\) and you get 25 + 144 = \(c^{2}\) or 169 = \(c^{2}\). You can then get rid of the square on the c by finding the square root of both sides. So, the square root of 169 would give you the answer of 13.
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
Answers
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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3x−1−(x+3)=1 PLEASE HELP IDK HOW TO DO IT
Answers
Answer:
x = 5/2
x = 2 1/2
x = 2.5
Step-by-step explanation:
3x - 1 - (x + 3) = 1
3x - 1 - x - 3 = 1
2x - 1 - 3 = 1
2x - 4 = 1
2x = 1 + 4
2x + 5
2x = 5
x = 5/2 → 2 1/2 → 2.5 ( can be written in any of these forms depending on what you need to do)
Hope this helped! :)
Answer:
x = 5/2Step-by-step explanation:
3x−1−(x+3)=1
First remove the bracket
That's
3x - 1 - x - 3 = 1
Group the constants at the right side of the equation
That's
3x - x = 1 + 1 + 3
Simplify
We have
2x = 5
Divide both sides by 2
That's
2x / 2 = 5/2
x = 5/2Hope this helps you
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answers
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)
Answers
Answer:
\( - \frac{8}{5} \)
Step-by-step explanation:
\(\boxed{gradient = \frac{y1 - y2}{x1 - x2} }\)
(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.
Gradient of the line
\( = \frac{6 - ( - 2)}{ - 2 - 3} \)
\( = \frac{6 + 2}{ - 5} \)
\( = - \frac{8}{5} \)
Someone solve this for me
Answers
The solutions to the circle equations in the attached figure are: (5) (x + 2)² + (y - 1)² = 20, (6) x² + y² = 9, (7) (x + 3)² + (y - 1)² = -9 and (8) (x - 4)² + (y - 3)² = -16
Finding the Solution to Equation of CircleEquation of a Circle in the Cartesian coordinate system (x, y) is given by:
(x - h)² + (y - k)² = r²
where
(h, k) = coordinates of the center of the circle
r = radius.
The expression (x - h)² + (y - k)² represents the squared distance between any point (x, y) on the circle and the center point (h, k). By setting this expression equal to the square of the radius, r², we ensure that all points on the circle are equidistant from the center.
You can also expand the equation to get the standard form:
x² - 2hx + h² + y² - 2ky + k² = r².
Using the information above, let us solve the circle equations:
5) y² + 4x - 20 - 2y = -x²
First we need to find the coordinates (h, k) of the circle
x² + 4x + y² - 2y = 20
-2h = 4 => h = -2
-2k = -2 => k = 1
(h,k) = (-2, 1)
Rewrite the equation in a standard circle format
Recall: (x - h)² + (y - k)² = r²
(x - (-2))² + (y - (1))² = 20
(x + 2)² + (y - 1)² = 20
Therefore the solution to the circle equation is: (x + 2)² + (y - 1)² = 20 and the curve is attached.
6) -9 = -y² - x²
First we need to find the coordinates (h, k) of the circle
x² + y² = 9
-2h = 0 => h = 0
-2k = 0 => k = 0
(h, k) = (0, 0)
Rewrite the equation in a standard circle format
Recall: (x - h)² + (y - k)² = r²
(x - (0))² + (y - (0))² = 9
x² + y² = 9
Therefore the solution to the circle equation is: x² + y² = 9 and the curve is attached.
7) 9 = 2y - y² - 6x - x²
First we need to find the coordinates (h, k) of the circle
x² + 6x + y² - 2y = -9
-2h = 6 => h = -3
-2k = -2 => k = 1
(h, k) = (-3, 1)
Rewrite the equation in a standard circle format
Recall: (x - h)² + (y - k)² = r²
(x - (-3))² + (y - (1))² = -9
(x + 3)² + (y - 1)² = -9
Therefore the solution to the circle equation is: (x + 3)² + (y - 1)² = -9 and the curve is attached
8) 16 + x² + y² - 8x - 6y = 0
First we need to find the coordinates (h, k) of the circle
x² - 8x + y² - 6y = -16
-2h = -8 => h = 4
-2k = -6 => k = 3
(h,k) = (4, 3)
Rewrite the equation in a standard circle format
Recall: (x - h)² + (y - k)² = r²
(x - (4))² + (y - (3))² = -16
(x - 4)² + (y - 3)² = -16
Therefore the solution to the circle equation is: (x - 4)² + (y - 3)² = -16 and the curve is attached.
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The area of parallelogram is 780sq.cm. if the length of one side is 26 cm, find the length of the other side
Answers
Answer:
b x h = 780
26b = 780
b = 30 cm
14- +6 answer please I need it fast
Answers
(Point to be noted:minus into plus is always minus)
So here we simply have to multiply minus and plus sign(-*+)= –
Now,
Sign should be minus(–) in this equation
=14–6
=8
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
please HURRY PLEASE PLEASE I POSTED THE PHOTO Christina makes bracelets at a rate represented by the equation y = 4x, where x is the number of days and y is the total number of bracelets made. Christina also makes necklaces at a rate shown in the graph.
Based on the information, what is the difference in the rate of change between the two functions?
Answers
Answer:
1.5
Step-by-step explanation:
Christina makes 4 bracelets in one day, and the graph shows she makes 2.5 necklaces in one day (y = 2.5x). 4 - 2.5 = 1.5
6x = 52 − 2y 5x + 7y = 70 Question 1 What is the first step when solving the given system by the elimination method?
Answers
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equations are given below.
6x = 52 - 2y
6x + 2y = 52
3x + y = 26 ...1
5x + 7y = 70
(5/7)x + y = 10 ...2
Subtraction equation 2 from equation 1, then we have
3x - (5/7)x = 26 - 10
(16/7)x = 16
x = 7
Then the value of 'y' is given as,
3(7) + y = 26
21 + y = 26
y = 5
The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).
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Find the reciprocal of the sum of the reciprocals of 1/-5 and -1/6
Answers
Answer:
-1/11
Step-by-step explanation:
A reciprocal means the reverse of a number. So the numerator becomes a one and the number goes in the denominator (for example 2 becomes 1/2). Or vice versa: the one becomes the denominator and the denominator becomes the numerator (for example 1/2 becomes 2/1 which is 2).
The reciprocal of -1/5 is -5.
The reciprocal of -1/6 is -6.
The sum of both reciprocals: -5 + -6 = -11
The reciprocal of the sum -11 is -1/11.
Emoji were first introduced on Japanese mobile phones in the year 1997.
Write an inequality that describes y, the years before emoji were introduced.
Enter your inequality without a thousands separator.
Answers
Answer:
1997 > y
Step-by-step explanation:
The inequality that presents year before 1997 is y<1997
What is inequality?Inequality shows relation between two expression which are not equal to each others.
According to given condition,
The emoji were introduced in the year 1997,
There can be infinite year before 1997, when emoji were not introduced.
The year y that describes inequality the year before 1997 can be represented as,
y<1997
The required inequality is y<1997.
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Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 64 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.2?
Answers
Answer:
0.9594
Step-by-step explanation:
Given that:
Sample size (n) = 64
p = 30% = 0.3 ; 1 - p = 0.7
Probability that sample proportion is greater than 0.2
Mean (m) = n*p = 64 * 0.3 = 19.2
Standard deviation (s) = √n*p*(1-p) = √(19.2*0.7)= 3.67
0.2 of 64 = 12.8
Z > [(x - m) / s]
Z > (12.8 - 19.2) / 3.67
Z > (-6.4 /3.67)
Z > - 1.7438
= 0.9594
Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).
Answers
In this case we have a translation of 8 units to the left and 11 units upwards.
How to find the translation?To find the translation, we just need to compare the two known vertices before and after the translation.
If we have a translation of a units in the x-axis and b units in the y-axis, we will get:
T(a, b)L ---> L'
We know that L = (7, -3) and L' = (-1, 8)
Then we can write:
(7 + a, -3 + b) = (-1, 8)
Then we have two equations:
7 + a = -1 ---> a = -1 - 7 = -8
-3 + b = 8 ---> b = 8 + 3 = 11
Then we have a translation of 8 units to the left and 11 units up-.
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Complete question:
"Right triangle LMN has vertices L(7, –3), M(7, –8), and
N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).
Find the translation done"
Drag the tiles to the correct boxes. Not all tiles will be used.
Match each equation with a value of x that satisfies it.
18
1
9
2
5
(x - 2) = 2
√²+7=4
V1-x
= -1
-3
Answers
For a given exponential expression, the determined value is x=3,0,6.
What are exponential expressions?A component of an exponential expression is an exponent. Powers can be expressed succinctly using exponential expressions. The exponent represents the number of times the base has been multiplied.Powers can be expressed succinctly using exponential expressions. The exponent represents the number of times the base has been multiplied. Exponential expressions or the representation of multiplication with exponents can be streamlined to produce the most efficient notation possible.Each exponential expression's x value is evaluated.
Therefore,
1. \($ \sqrt{x^2+7}=4 \\\)
\(&\left(x^2+7\right)=4^2 \\\)
\(&\left(x^2+7\right)=16 \\\)
simplifying the above equation, then we get
x² = 16 - 7 = 9
x = 3
2. \($\sqrt[2]{1-x}=-1$\)
(1 -x) = (-1)²
1 - x = 1
x = 0
3. \((x-2)^{\frac{1}{2}}=2 \\\)
(x - 2) = 2²
x - 2 = 4
x = 6
The determined value is x=3,0,6 for a given exponential expression.
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Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Answers
Complete question is;
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
Answer:
Deposits are; +21.68, +42.09, and +65.44.
Withdrawals are; -4.64, -23.11, and -9.78
Step-by-step explanation:
We are told that the deposits are;
$21.68, $42.09, and $65.44.
Now, she withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
We are told to write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
A rational number is a number that can be expressed as the ratio of two integers. In this question, by inspection, all the given values for deposits and withdrawals can be expressed as the ratio of 2 integers.
Thus;
Deposits are; +21.68, +42.09, and +65.44.
Withdrawals are; -4.64, -23.11, and -9.78
after the safety training was conducted the number of people who are injured at work decreased from 276 to 109 this year. find the absolute change in relative change of work injuries.
Answers
Answer:
167
Step-by-step explanation:
the change between 276 and 109 is 167