The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
18 cm
Calculate the total shaded area.
Take it to be 3.142 and write down all the digits given by your calculator.
Answers
Answer:
69.498
Step-by-step explanation:
first find the area of the whole square (how i saw it), remember
it is made up of a circle drawn inside a square.
so we do the area of the square = 18²
= 324
next we find the circle which was drawn, the circle covers up the
whole shaded square.
diameter would be 18 as the length of the square was 18,
then we find the radius, 18/2 = 9
now we use πr²,
r would be the radius (9)
therefore it would be π(81) and we get 254.502
now we take away the area of the circle covering the square
from the area shaded in,
therefore 324 - 254.502
= 69.498
( 1st time ive posted an answer btw )
Related Questions
Write a mathematical question that explains the following sentence:
two more than triple a number is fourteen
Answers
two more than triple a number is fourteen might be 2×7=14
Thomas has $10 to spend on lunch he decides to buy some chicken sandwiches which cost $2.75 each and one container of orange juice which cost $1.50 what is the maximum Number of chicken sandwiches Thomas can buy
Answers
Answer:
3
Step-by-step explanation:
10-1.50 is 8.5 and divide that by the cost
can someone please help me with this!!!!????
Answers
Answer:
158 miles
Step-by-step explanation:
D = 59 + 3D [The distance starts with 59 miles and then adds 3 each day, D]
D =59 + 3*(33)
D = 158 miles
Are the expressions 6x - 2y + 4y and 4x + 4y equivalent?
Answers
Answer:
Not equivalent
Step-by-step explanation:
if we simplify our two equations we get 6x + 2y and 4x + 4y. Which is not equivalent to each other
f+40/−3≥−16
f = 2
f = 5
f = 8
f=11
Answers
Bradley needs st least $280 for a laptop. He already had saved $40. He earns $8 an hour at his job. Write and solve the inequality to find how many hours he will need to work to buy the system. Explain the solution.
Answers
Answer: 30
Step-by-step explanation:
40 + 8x = 280
-40 -40
8x = 240
___ ____
8 8
X = 30
f(x)=(x+2)^2-6plot the vertex and the axis of symmetry of this function on the provided graph
Answers
first of all, we need to open the bracket and simplify it before proceeding to plot the graph
\(\begin{gathered} f(x)=(x+2)^2-6 \\ f(x)=x^2+4x+4-6 \\ f(x)=x^2+4x-2 \end{gathered}\)now, we plot for the equation
the radius of a sphere is 8 cm. find the diameter
Answers
Answer:
16
Step-by-step explanation:
Answer:
Ok all u need to know is that radius is half of the diameter ,which mean the diameter is 16 yw:) pls give brainliest id really appreciate it
Step-by-step explanation:
two particles travel along the space curves r1(t) = t, t2, t3 r2(t) = 1 2t, 1 6t, 1 14t . find the points at which their paths intersect. (if an answer does not exist, enter dne.
Answers
The answer is: (0, 0, 0).
To find the points at which the paths of the two particles intersect, we need to find the values of t for which r1(t) = r2(t). Equating the x, y, and z coordinates, we get three equations:
t = 1/2t
t2 = 1/6t
t3 = 1/14t
Simplifying the first equation, we get t = 0, which means the particles intersect at the origin. Substituting t = 0 into the second and third equations, we get 0 = 0 and 0 = 0, respectively. This confirms that the particles do indeed intersect at the origin. Therefore, the answer is: (0, 0, 0).
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Draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure ({N}, {T}, {M})
Answers
A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.
To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:
Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.
Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.
Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.
The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.
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Unit 3: Functions& Linear Equations Homework 1: Relations & Functions Name: Date: Bell: This is a 2-page document! Find the domain and range, then represent as a table, mapping, and graph. Domain Range 2. {(-3,-4), (-1, 2), (0,0), (-3, 5), (2, 4» Domain Range - Determine the domain and range of the following continuous graphs 3. 4. Domain = Range = 5. Domain Range 6. Domain - Domain - Range - Range = Gina Wlson (AlI Things Aigebral 2
Answers
The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
What is the domain and range?
The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.
The range of a function refers to the set of all possible output values, or y-values.
To find the domain and range of functions and represent them in different formats.
To find the domain and range of a function:
The domain refers to the set of all possible input values (x-values) for the function.
The range refers to the set of all possible output values (y-values) for the function.
To represent the function as a table, you would list the input-output pairs. For example:
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
To represent the function as a mapping, you would indicate the correspondence between the input and output values.
For example:
-3 -> -4
-1 -> 2
0 -> 0
-3 -> 5
2 -> 4
To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.
The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.
Hence, The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
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By multiplying 5/3^4 by _________, we get 5^4
Answers
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
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Edgar uses his cell phone all the time, even though it's more expensive between
8 a.m. and 6 p.m. The daytime rate costs 10¢ per minute between 8 a.m. and 6
p.m., while it is 3¢ per minute all other times. If Edgar spent 60 minutes on the
phone at night and 60 minutes during the day, how much would he owe?
Answers
Answer:21600
Step-by-step explanation:
Multiply 60 by 2, then by 3. Add 120 and 180 to get 21600.
Profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 30x – 130. the cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. the variable x represents the number of skateboards sold.
Answers
Profit function in terms of x = 33x + 390.
What is a profit in business?
In its simplest form, it's the amount left after subtracting your total expenses from your total revenue. The money remaining, your profits, can either be kept in the business and re-invested to finance future growth, or distributed as a draw or dividends to stakeholders.Given that revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial
\(2x^{3} + 30x - 130\)
The cost, in dollars, of producing the skateboards can be modeled by
\(2x^{3} -3x - 520\)
Profit function = Revenue - cost
= \(2x^{3} + 30x - 130 - ( 2x^{3} - 3x - 520)\)
= 33x + 390
Therefore, profit function in terms of x = 33x + 390
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Find the slope for (4,5)and (2,3)
Answers
Answer:
1
Step-by-step explanation:
real estate ads suggest that 60% of homes for sale have garages, 30% have swimming pools, and 18% have both features. what is the probability that a home for sale has garage but no pool?
Answers
The probability of a home for sale having a garage but no pool is 0.42.
To do this, we need to use some probability rules. One useful rule is the formula for calculating the probability of an event not occurring. This is given by:
P(not A) = 1 - P(A)
where A is the event we are interested in, and not A is the event of A not occurring.
In this case, we are interested in the probability of a home having a garage but no pool. Let's call this event GNP (short for garage no pool). Using the information given, we know that 60% of homes have garages and 18% have both garages and pools. We can use this information to calculate the probability of a home having a garage but no pool as follows:
P(GNP) = P(G) - P(G and P)
where G is the event of a home having a garage and P is the event of a home having a pool.
Substituting the values we have:
P(GNP) = 0.6 - 0.18
P(GNP) = 0.42
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The Coffee Counter charges $11
per pound for Kenyan French Roast coffee and $10
per pound for Sumatran coffee.
How much of each type should be used to make a 20 pound blend that sells for $10.60
per pound?
Answers
Answer:
12 pounds of Kenyan French Roast coffee
8 pounds of Sumatran coffee
Step-by-step explanation:
if you use x pounds of Kenyan French Roast coffee and y pounds of Sumatran coffee then you know that
11x + 10y = 10.6 * 20
x+y=20
10x+10y=200
11x+10y=212
x=12
y = 20-x = 20-12 = 8
so you want to use
12 pounds of Kenyan French Roast coffee
8 pounds of Sumatran coffee
George was riding his bike downhill on a street in a Canadian town. The street- side speed sensor clocked him at 30 km per hour. His bike speedometer was set up in U.S. units of mph. What would the readout have been?b. A short-course meter pool is 25 meters long.
Answers
In order to find the readout in his bike speedometer, we need to know the approximate value for the conversion between miles and kilometers, then,
\(1\text{ }mi\Rightarrow1.609\text{ }km\)then, use conversion factors with the street side sensor,
\(\frac{30km}{h}\ast\frac{1mi}{1.609km}\approx\frac{18.64mi}{h}\)Answer:
The approximate value shown in his bike speedometer is 18.64 mph
Test the claim about the population mean y at the level of significance a Assume the population is normally distributed. Claim: < 4815; x = 0.10 Sample statistics: x=5017, s = 5613, n=56 What are the null and alternative hypotheses?
Answers
The null and the alternative hypotheses are H0: y >= 4815 and Ha: y < 4815
How to determine the null and alternative hypotheses?From the question, we have the following parameters that can be used in our computation:
Claim: < 4815; x = 0.10 Sample statistics: x=5017, s = 5613, n=56The null hypothesis (H0) is the statement being tested, and the alternative hypothesis (Ha) is the statement that contradicts the null hypothesis.
In this scenario, we are testing a claim about the population mean y at a significance level of a.
The claim is that the population mean is less than 4815.
So, the null hypothesis is that the population mean is greater than or equal to 4815:
H0: y >= 4815
The alternative hypothesis is that the population mean is less than 4815:
Ha: y < 4815
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A rhombus is a four-sided figure with all sides the same length.
Points F(22, 22), G(22, 3), and H(2, 6) are three vertices of
rhombus FGHJ. Vertex J is directly below vertex H.
a. Graph rhombus FGHJ. Label J with its coordinates.
b. What is the perimeter of the rhombus? Show your work.
Answers
The perimeter of the rhombus FGHJ is 20 units
How to graph the rhombusThe coordinates are given as:
F = (-2, -2)
G = (-2, 3)
H = (2, 6)
From the question, we understand that vertex J is directly below vertex H.
This means that vertices H and J have the same x coordinate.
So, we have
J = (2, y)
The distance between F and G is 5 units,
So, we have
J = (2, y - 5)
Where
y = 6 i.e. the y coordinate of H
This gives
J = (2, 6 - 5)
Evaluate
J = (2, 1)
See attachment for the graph of the rhombus
The perimeterIn (a), we have:
The distance between F and G is 5 units,
This means that
FG = 5
The side lengths of a rhombus are equal.
So, the perimeter is
P = 4 * FG
This gives
P =4 * 5
Evaluate
P = 20
Hence, the perimeter of the rhombus is 20 units
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38. let n be a positive integer whose decomposition into prime factors has no repeated prime. let b = {x | x is a divisor of n}. for example, if n = 21 = 3•7, then b = {1, 3, 7, 21}. let the following operations be defined on b: x + y = lcm(x, y) x • y = gcd(x, y) x′ = n/x then + and • are binary operations on b and ′ is a unary operation on b. 38a. for n=21,find {15 pts total; answer parts i. - v.} (i) 3 • 7 (ii) 7 • 21 (iii) 1 + 3 (iv) 3 + 21 (v) 3′
Answers
For all positive integer, (i) The result of 3 • 7 is 1. (ii) The result of 7 • 21 is 7. (iii) The result of 1 + 3 is 3. (iv) The result of 3 + 21 is 21. (v) The result of 3′ is 7.
(i) 3 • 71
To find the result of 3 • 7, we need to calculate the greatest common divisor (gcd) of 3 and 7.
The gcd(3, 7) = 1, which means that the only positive integer that divides both 3 and 7 without leaving a remainder is 1.
The result of 3 • 7 is 1.
(ii) 7 • 21
7
To find the result of 7 • 21, we need to calculate the gcd of 7 and 21.
The gcd(7, 21) = 7, which means that the only positive integer that divides both 7 and 21 without leaving a remainder is 7.
The result of 7 • 21 is 7.
(iii) 1 + 3
3
To find the result of 1 + 3, we need to calculate the least common multiple (lcm) of 1 and 3.
The lcm(1, 3) = 3, which means that the smallest positive integer that is divisible by both 1 and 3 is 3.
The result of 1 + 3 is 3.
(iv) 3 + 21
21
To find the result of 3 + 21, we need to calculate the lcm of 3 and 21.
The lcm(3, 21) = 21, which means that the smallest positive integer that is divisible by both 3 and 21 is 21.
The result of 3 + 21 is 21.
(v) 3′
7\
To find the result of 3′, we need to divide n (which is 21) by 3.
21 divided by 3 equals 7.
The result of 3′ is 7.
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How many times of rs. 1300 is the value including 13% vat on rs. 13000?
Answers
There would be of 11.3 times rs. 1300 is the value including 13% vat on rs. 13000
To find out how many times Rs. 1300 is contained in the value including 13% VAT on Rs. 13000, we need to first calculate the total value including VAT.
VAT is a tax that is added to the net price of a product or service. In this case, the net price is Rs. 13000 and the VAT is 13% of the net price, which is:
VAT = 13% of Rs. 13000
= 0.13 x 13000
= Rs. 1690
So, the total value including VAT is:
Total value = Net price + VAT
= Rs. 13000 + Rs. 1690
= Rs. 14690
Now, to find out how many times Rs. 1300 is contained in this value, we divide the total value by Rs. 1300:
Number of times = Total value / Rs. 1300
= Rs. 14690 / Rs. 1300
= 11.3 (approx)
Therefore, the value including 13% VAT on Rs. 13000 is about 11.3 times the value of Rs. 1300.
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If P(A) = 0.4 and P(B) = 0.6, then A and B must be collectively exhaustive. True False Could you please explain why?
Answers
Therefore, we cannot determine whether A and B are collectively exhaustive just from their probabilities that is the given statement is false.
The statement "A and B must be collectively exhaustive" means that the events A and B together cover all possible outcomes of the experiment. In other words, if A and B are collectively exhaustive, then there are no other possible outcomes of the experiment besides A and B.
In this case, we cannot determine whether A and B are collectively exhaustive just from their probabilities. It is possible that there are other events that could occur in the experiment that are not represented by A or B.
For example, if the experiment is flipping a coin, then A could represent the event of getting heads and B could represent the event of getting tails. In this case, A and B are collectively exhaustive because they cover all possible outcomes of the experiment. However, if there is a third event C that represents the coin landing on its edge, then A and B are not collectively exhaustive because there is another possible outcome of the experiment that is not represented by A or B.
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The graphs below have the same shape. What is the equation of the red
graph?
Answers
g(x)= -x^2
What is the area of triangle ABC if a = 7, c = 11, and B = 55°?
Round the answer to the nearest hundredth.
Answers
The area of the triangle is 31.54 square units
How to determine the area of the triangleFrom the question, we have the following parameters that can be used in our computation:
We have the following values
a = 7 units
c = 11 units
B = 55 degrees
The area of the triangle is calculated using the following area formula
Area = 1/2absin(C)
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 7 * 11 * sin(55 degrees)
Evaluate
Area = 31.54
Hence, the area is 31.54 square units
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what value of h is needed to complete the square for the equation
Answers
To complete the square for the equation \(x^2 + 8x + 32 = (x - h)^2 + 16\),
we need to choose h = -2.
To complete the square for the given equation
\(x^2 + 8x + 32 = (x - h)^2 + 16\),
we need to express the left-hand side of the equation in the form
\((x - p)^2 + q\), where p and q are constants.
We can start by expanding the right-hand side of the equation:
\((x - h)^2 + 16 = x^2 - 2hx + h^2 + 16\)
Now we can compare the coefficients of \(x^2\), x, and the constant term on both sides of the equation:
\(x^2 + 8x + 32 = (x - p)^2 + q\)
=> \(p^2 = 0\) (since the coefficient of \(x^2\) is 1 on both sides)
=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)
=> h = -2 (solving for h)
=> q = \(h^2 + 16\) = 20 (since the constant term on the right-hand side is 16)
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The complete question may be:
What value of h is needed to complete the square for the equation \(x^2+8 x+32=(x-h)^2+16\) ?
I need help fast please and thank you
Answers
Answer:
its the second option
Step-by-step explanation:
u can search for the formula for a right trapezoid and then solve it
Sapphron is 60 inches tall and weighs 90 pounds. Use the formula below and a calculator to answer the question about her weight. BMI = Weight (in pounds) ÷ [Height (in inches)]² x 703 Which BMI category fits Sapphron? A. 25. 2, overweight B. 17. 5, underweight C. 18. 6, appropriate weight.
Answers
Answer:
17.6 is his/her bmi
Step-by-step explanation:
Answer
17.5 underweight
Step-by-step explanation:
Its the same guy that is above mine but on the assignment it would be 17.5 underweight.
I need help quick please
Answers
Answer:
search it up its there
Step-by-step explanation:
Evaluate u +xy, for u = 12,x = 7, and y = 4
Answers
Answer:
40
Step-by-step explanation:
Plug in 12 for u, 7 for x, and 4 for y in the given expression:
u + xy = 12 + (7)(4)
Remember to follow PEMDAS. First, multiply, and then add:
u + xy = 12 + (7 * 4) = 12 + (28) = 40
40 is your answer.
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