The circumference of the circle is 20 pi inches. What is the arc length of the shaded sector? Express the answer in terms of Pi. A circle. The shaded sector has an angle measure of 45 degrees. Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction. 2.5 pi inches 5 pi inches 7.9 pi inches 10 pi inches
The provided remark indicates that option (A) is accurate for 2.5 inches.
What length of time is an example?The measurement or size of something to end to end is referred to as its length. To put it another way, it is the bigger of the upper two or three dimensions of a geometric form or object. For instance, the length and width of a parallelogram define its measurements.
Using the given equation:
Arc Length / 20π = 45/360
Cross multiply:
Arc length × 360 = 20π x 45
Arc length x 360 = 900π
Divide both sides by 360:
Arc length = 900π / 360
Arc Length = 2.5 π inches.
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change 3 5 to a decimal fraction
Answer:
7/20
its the answer to your question
Help with number 4!!!
Answer:forgot the explanation
Step-by-step explanation: give me a equation to solve
How many solutions and what is the solution? please help
One solution: (6,2)
Step-by-step explanation:Systems of equations are a set of equations that share variables.
Number of Solutions
There are multiple ways to find the number of solutions to a system of equations. Firstly, if 2 lines are parallel, then there will never be a point that satisfies both equations. This means that there will be no solutions. If 2 equations create the same line, then there will be infinitely solutions. Lastly, if there are 2 linear lines that are not parallel or the same, then they will have exactly one solution.
Solving Systems of Equation
The solution to a system of equations is the point that makes both equations true. When looking at a graph, the solution to a system of equations will be where the lines intersect. In this question, the lines intersect at (6,2). This means the solution to the system of equations is (6,2).
The perimeter of a rectangle is 34 units. Its width is 6.5 units.
Write an equation to determine the length of the rectangle
Given:
P = 34 [Perimeter]
W = 6.5 {let's use W and L to make it easy to read]
Also known:
P = W + L + W + L = 2(W+L)
Fill in values:
34 = 2(6.5+L) [NOTE: This is an equation to determine the length (L) of the rectangle."]
17 = 6.5 + L [NOTE: This is a simplified form of the above equation.]
10.5 = L [NOTE: This is the solution (the value of L)]
The radius of a circle is 11 meters. What is the circle's circumference?
Use 3.14 for л.
r=11 m
Answer:
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14.
Substituting the given value of r=11 m and using π = 3.14, we get:
C = 2πr
C = 2 x 3.14 x 11 m
C = 69.08 m
Therefore, the circumference of the circle is 69.08 meters
Type the correct answer in the box. Use numerals instead of words.
The cone and cylinder below both have a height of 11 feet.
The cone has a radius of 3 feet.
The cylinder has a volume of 310.86 cubic feet.
Complete the statements using 3.14 for pi. Any non-integer answers in this problem should be entered as decimals rounded to the nearest hundredth.
The volume of the cone is [?]
cubic feet.
The radius of the cylinder is [?]
feet.
The ratio of the volume of the cone to the volume of the cylinder is 1:[?]
.
The figure below represents 17/36 of a full circle. Find the measure of the marked central angle.
The specified central angle is 170 degrees since the figure is 17/36 of a full circle.
A central angle is an angle with endpoints on the perimeter and a vertex in the centre of a circle. An arc is defined by the angle in the centre of a circle.
Since the figure represents 17/36 of a full circle, the central angle that it subtends is also equal to 17/36 of 360 degrees (the measure of a full circle).
We can calculate this as follows:
Central angle = (17/36) x 360 degrees
Central angle = 17 x 10 degrees
Central angle = 170 degrees
Therefore, the measure of the marked central angle is 170 degrees.
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Answer:
170°Step-by-step explanation:
To find:-
The measure of the marked Central angle.Answer:-
As we know that the measure of complete angle about any point is 360° = 2π rad .
Also we are given that the given circle is 17/36 of full circle. So the angle substended too be will be equal to 17/36 of the complete angle.
So that , we have;
==> Angle = 17/36 * 360°
==> Angle = 170°
Hence the value of central angle is 170° .
BONUS SECTION
This section is optional. Each correct answer will receive 2 points (12 points total)
which will be added to your test's raw score. Clearly indicate the necessary steps,
including appropriate formula substitutions, diagrams, graphs, charts, etc. For all
questions in this part, correct numerical answers without work shown or an
explanation will not receive any credit.
1. Shanika has a dilemma. She has five choices for future employment but does not
know which job opportunity to take. Calculate the annual income for each option
and let her know which job would earn her the most money.
Option 1: Keeping her present job at $15,000 per
year plus a 20% year-end bonus.
Option 2: Taking a job that pays $1,250 per month
Answer:
A
Step-by-step explanation:
If Planet I is 31.1 million miles farther from the sun than Planet II, then Planet III is 24.6 million miles farther from the sun than Planet I. When the total of the distances for these three planets from the sun is 197.8
million miles, how far away from the sun is Planet II?
After solving the equations e know that Planet II is 35 million miles away from the sun.
What are equations?The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.
An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.
As in 3x + 5 = 15, for example.
There are many different types of equations, including linear, quadratic, cubic, and others.
The three primary forms of linear equations are point-slope, standard, and slope-intercept.
So, let x be the separation between planet I and the sun.
Planet II's distance from the sun is x-30.2.
Planet iii's distance from the sun is equal to x+24.8.
x + x-30.2 + x+24.8 = 190.2
Mix related phrases to find x.
3x - 5.4 = 190.2
3x = 195.6
x = 65.2
65.2 million miles separate planet I from the sun.
Planet II is 35 million miles from the sun or 65.2-30.2.
Planet iii is 90 million miles from the sun (65.2 + 24.8 = miles).
Therefore, after solving the equations e know that Planet II is 35 million miles away from the sun.
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A merchant mixed 12 lb of a cinnamon tea with 3 lb of spice tea. The 15-pound mixture cost $39. A second mixture included 16 lb of the cinnamon tea and 6 lb of the spice tea. The 22-pound mixture cost $58. Find the
cost per pound of the cinnamon tea and of the spice tea.
cinnamon
spice
Answer:
Step-by-step explanation:
Let x be the cost per pound of the cinnamon tea and y be the cost per pound of the spice tea.
From the first mixture, we have:
12x + 3y = 39
From the second mixture, we have:
16x + 6y = 58
We can solve this system of equations by elimination. Multiplying the first equation by 2 and subtracting it from the second equation gives:
16x + 6y = 58
(24x + 6y = 78)
-8x = -20
Dividing both sides by -8 gives:
x = 2.5
Substituting this value of x into the first equation, we get:
12(2.5) + 3y = 39
Simplifying, we get:
30 + 3y = 39
Subtracting 30 from both sides gives:
3y = 9
Dividing both sides by 3 gives:
y = 3
Therefore, the cost per pound of the cinnamon tea is $2.50 and the cost per pound of the spice tea is $3.
jay eats 2/3 of a pizza but if dan eats 4 times that amount how much did dan eat
Answer:
Dan eat 2 2/3 of a pizza
Step-by-step explanation:
the answer is above
Let
x-----> amount of pizza Jay ate
y-----> amount of pizza Dan ate
we know that
----> equation A
-----> equation B
substitute equation A in the equation B and solve for y
Convert to mixed number
Angles M, N, and P are supplementary.
What is the measure of angle P?
60°
34°
45°
36°
Step-by-step explanation:
The measure of angle p is 60°
The diagram below represents how rock is affected when water enters cracks in rock, freezes, and becomes ice.
Which geologic process is represented in the diagram?
Answer: Physical weathering, more specifically, ice wedging
Step-by-step explanation:
:D
Explain the difference between a) comparing, b) non-standard units of measurement and c) standardised units of measurement.
Answer:
a) Comparing: Comparing means evaluating the similarity or difference between two or more objects, values, or variables. It is a process of identifying and highlighting the similarities and differences among objects, values, or variables based on specific criteria.
b) Non-standard units of measurement: Non-standard units of measurement are those that are not part of the International System of Units (SI) and are often created for specific purposes or contexts. These units may be used to measure variables such as time, distance, weight, or volume, but they are not universally recognized or standardized.
c) Standardized units of measurement: Standardized units of measurement are those that are part of the International System of Units (SI) and are universally recognized and accepted. These units provide a standard framework for measuring variables such as time, distance, weight, or volume, making it possible to compare and communicate measurements accurately across different contexts and languages. Some examples of standardized units of measurement include seconds, meters, kilograms, and liters.
FACTOR BY GROUPING
SEE ATTACHED IMAGE
SOLVE 4-6 BY STEPS 1-4
Answer:
see explanation
Step-by-step explanation:
(4)
5x³ - 10x² - 3x + 6
factor out 5x² from first 2 terms and - 3 from last 2 terms
= 5x²(x - 2) - 3(x - 2) ← factor out (x - 2) from each term
= (x - 2)(5x² - 3)
----------------------------------------------------
(5)
9a³ - 45a² - 7a + 35
factor out 9a² from first 2 terms and - 7 from last 2 terms
= 9a²(a - 5) - 7(a - 5) ← factor out (a - 5) from each term
= (a - 5)(9a² - 7)
-----------------------------------------------------
(6)
5x²y - 15y - 2x² + 6
factor out 5y from the first 2 terms and - 2 from the last 2 terms
= 5y(x² - 3) - 2(x² - 3) ← factor out (x² - 3) from each term
= (x² - 3)(5y - 2)
help I don't understand
With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
What is triangle similarity?Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.
One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.
These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.
So, in the given situation:
TR and WY are as follows:
TR/WU
24/2
2/1
Similarly,
TS/WV
2/1
7/x
7/3.5
Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
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Mrs. Andretti is having new drapes made for her living
room. The cost of the fabric is $15 per yard. The fee to
make and hang the drapes is $250. She uses the expression
15x + 250 to calculate the total cost of the drapes. Mrs.
Andretti states that x represents the total cost of the fabric.
Is she correct?
• Yes, x represents the total cost of the fabric.
O No, x represents the total cost of the drapes.
• No, x represents the total yards of fabric used.
O No, x represents the total amount of fabric she
already has.
Fabric cost ($15 per yard) and curtain making and hanging ($250). x represents the total cost of the fabric and Mrs. Andretti can use the formula 15x to calculate the fabric cost and add the $250 fixed charge to get the total cost of the curtain.
Why do we determine costs?Cost computation helps in deciding on pricing, manufacturing output, and sales. It also helps in figuring out the costs of the products and services the company sells.
X does not represent the cost of fabric. X represents the number of yards of fabric used.
15x + 250
Could be read as ($15 × # of yards) + $250
She must therefore pay $15 per yard of cloth in addition to the $250 base cost of having them produced and hung.
She may indicate the price of fabric with an additional variable.
Example: Y
Y= 15x
Cost of fabric is equal to $15 per yard × # of yards.
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solve using the standard algorithm. check your quotient and remainder and by using multiplication and addition 93÷7
In the standard algorithm
Reminder = 2
quotient = 13
What does quotient in mathematics mean?
The number being divided is known as the dividend, in this case, 15. The number being divided is known as the divisor (in this case, 3). The remainder following division is the quotient.
When we divide two integers, the result is a quantity known as the quotient. As an example, since the division resulted in the number 2, the quotient in the equation 8 4 = 2 is 2.
= 93÷7
Reminder = 2
quotient = 13
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in which place is the first digit of the quotient: 3,587 ÷ 18
Answer: The quotient is 199.277777778, the answer is the hundreds place
Step-by-step explanation:
199.277777778, the 1 in 199 is in the hundreds place :)
I’ll give branniest for the correct answer
Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows
the path y = - 3x + 8, while the other skater follows the curve y= - 2x^2 + 7x. Find all the points where they might collide if they
are not careful.
Answer: To find the points where the two skaters might collide, we need to find the values of x and y that satisfy both equations:
y = -3x + 8
y = -2x^2 + 7x
We can set the two equations equal to each other and solve for x:
-3x + 8 = -2x^2 + 7x
This simplifies to:
2x^2 - 10x + 8 = 0
Dividing both sides by 2, we get:
x^2 - 5x + 4 = 0
Factoring the left side, we get:
(x - 1)(x - 4) = 0
So the solutions for x are x = 1 and x = 4.
To find the corresponding values of y, we can substitute these values of x into either equation. Let's use y = -3x + 8:
When x = 1, y = -3(1) + 8 = 5
When x = 4, y = -3(4) + 8 = -4
Therefore, the two skaters might collide at the points (1, 5) and (4, -4).
Step-by-step explanation:
If f(x)=3-2x and g(x)= 1x+5 what is the value of [f-g](8)?
Alen has read 60% of a book. He has 32 more pages to finish. How many pages are there in the book?
Alen has read 60% of a book in which there are 80 pages in the book.
What is total number?The term "total number" typically refers to the complete quantity or count of something. It can refer to the number of items in a set, the number of people in a population, the total sales of a company, or any other numerical quantity that represents a whole.
According to question:Let's say the total number of pages in the book is "x".
According to the problem, Alen has read 60% of the book, which means he has completed 0.6x pages.
He still has 32 more pages to finish, so the number of pages he has left to read is (x - 0.6x) = 0.4x.
We can set up an equation:
0.4x = 32
Solving for x:
x = 80
Therefore, there are 80 pages in the book.
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If I get paid $12.50 an hour and I worked a total of 15 hours and 35 minutes how much did I make?
Answer: $194.79
Step-by-step explanation:
It is easiest to approach this question in two parts.
First part is simple - multiply the wage per hour times the number of whole number you have worked. ($12.50)(15) = $187.50
Next you need to find how much you make in 35 minutes at a wage rate of 12.50 an hour. You can set up a ratio to find this out -
($12.50) | (60 min) - (x dollars) | (35 min)
then cross multiply and divide - (12.5 * 35) / 60 = 7.291
This means you make $7.29 for 35 minutes of work.
$187.50 + $7.29 = $194.79 for 15 hours 35 minutes of work.
(this is based on a per minute/hour scale)
1pt equal how many mL
Answer:
1 American pt equals approximately 568.261 mL
OR
1 British Imperial pt is approximately 473 mL
I recommend choosing the answer that better relates to where you are from.
Step-by-step explanation:
There seem to be TWO kinds of pint sizes. A US pint is 16 ounces and an Imperial pint is 20 ounces.
In circle C with the measure of minor arc BD=42°, find mBED.
Answer: mBED = 2(42°) = 84°
Step-by-step explanation:
We are asked to find the measure of the central angle ∠BED in the circle given that the measure of the minor arc BD is 42°.
We can use the formula that states that the measure of a central angle is equal to twice the measure of its intercepted arc. That is,
m∠BED = 2*mBD
We can substitute the value of mBD, which is 42°, into our equation.
m∠BED = 2*42°
m∠BED = 84°
Therefore, the measure of the central angle ∠BED is 84°.
Determine the geometric mean of the numbers 8 and 6. Write your answer in simplest radical form.
I’ll give brainlist!
The geometric mean of the given numbers 8 and 6 is [tex]\sqrt{14}[/tex].
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the collection of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers collectively and calculate their nth root, where n is the total amount of data values.
In other terms, the geometric mean is the product of n numbers divided by the nth root. As a result of the fact that in mathematical mean, the data values are added before being divided by the total number of values. However, when calculating the geometric mean, we add the provided data values before taking the root of the total number of data values using the radical index.
What is Square root?A number's square root is a value that, when multiplied by itself, yields the initial number. The opposite way to square an integer is to find its square root. Squares and square roots are therefore connected ideas.
The geometric mean of the given number is given by the formula
GM=[tex]\sqrt{\\a+b}[/tex]
=[tex]\sqrt{8+6}[/tex]
=[tex]\sqrt{14}[/tex]
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What’s the answer to this question? I can’t seem to find the answer.
You could try factoring.
[tex]6x^2-x-1=(2x-1)(3x+1)\\3x^2+25x+8=(x+8)(3x+1)\\x^2+4x-32=(x+8)(x-4)\\2x^2+7x-4=(x+4)(2x-1)[/tex]
So your expression becomes...[tex]\frac{(2x-1)(3x+1)}{(x+8)(3x+1)}*\frac{(x+8)(x-4)}{(x+4)(2x-1)}=\frac{x-4}{x+4}[/tex].
the diagram shows a 5x5x5 cube calculate the length of the diagonal AB
Answer:4
Step-by-step explanation:4
Let a and b be real numbers, where Which of the following functions could represent the graph on the right? f(x) = x (x – a)(x – b)2 f(x) = (x – a)(x – b)2 f(x) = x(x – a)³(x – b) f(x) = x2(x – a) 2(x – b)2
Answer:
Without a graph provided, it's difficult to determine which of the given functions represents the graph on the right. However, we can analyze each function to see if it has any characteristics that match the shape of the graph.
f(x) = x(x – a)(x – b)2
This function has one x-intercept at x = 0 and a double root at x = b. If b > a, then the function will have a local maximum at x = a and a local minimum at x = b. This function may represent a graph with a single x-intercept, a double root, and a local maximum and minimum.
f(x) = (x – a)(x – b)2
This function has one x-intercept at x = a and a triple root at x = b. If b > a, then the function will have a local minimum at x = a and a local maximum at x = b. This function may represent a graph with a single x-intercept, a triple root, and a local minimum and maximum.
f(x) = x(x – a)³(x – b)
This function has one x-intercept at x = 0 and a triple root at x = a. If a < b, then the function will have a local minimum at x = b. This function may represent a graph with a single x-intercept, a triple root, and a local minimum.
f(x) = x²(x – a)²(x – b)²
This function has two x-intercepts at x = 0 and x = a and a double root at x = b. If b > a, then the function will have a local maximum at x = a and a local minimum at x = b. This function may represent a graph with two x-intercepts, a double root, and a local minimum and maximum.
Based on these analyses, it's unclear which function represents the graph on the right, as all four functions have characteristics that could match the shape of the graph.
Answer:
It's A
Step-by-step explanation:
2023 edge
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