The area of shaded region is 77.11 cm².
Given that
The length of side of square = 12 cm
We know that area of square = side x side
Therefore area of given square = 12 x 12
= 144 cm²
Now since the circle lies inside the square,
Therefore radius of the circle be 12 cm.
We know that area of circle = πr²
Now put the value of radius = 144π
= 452.44 cm²
Now,
Area of shaded region = (area of square - area of circle)/4
= (452.44 - 144)/4
= 77.11 cm²
Thus, required area = 77.11 cm²
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Find the volume of this cone.
To start calculating the volume of the cone, we obtain the following data:
r = 4 cmh = 9 cmπ = 3To calculate the volume of a cone, we apply the following formula:
\(\boldsymbol{\sf{V=\dfrac{\pi r^{2}h }{3} }}\), where
V = volumeh = heightr = radiusπ = piWe solve, substituting our data in the formula:
\(\boldsymbol{\sf{V=\dfrac{3*(4 \ cm)^{2}*9 \ cm }{3} }}\)taking the square root
\(\boldsymbol{\sf{V=\dfrac{3 *16 \ cm^{2}*9 \ cm }{3} }}\)Multiplying
\(\boldsymbol{\sf{V=\dfrac{432 \ cm^{3} }{3} }}\)Dividing
\(\boxed{\boldsymbol{\sf{V=144 \ cm^{3} }}}\)Therefore the volume of the cone is 144 cm³.
\(\huge\text{Hey there!}\)
\(\huge\textbf{What is the formula for finding the}\\\\\huge\textbf{the volume of a cone?}\)
\(\large\boxed{\mathsf{\dfrac{\pi \times r^2\times h}{3} = volume}}\)
\(\bullet\large\textsf{ Whereas, \boxed{r} is your \underline{radius}, \boxed{h} is your \underline{height}, \& \boxed{\pi} is your pi.}\)
\(\bullet\large\textsf{The pi }\boxed{(\pi)}\large\textsf{ is approximately equal to 3.14.}\)
\(\huge\textbf{What are the labels in your equation?}\)
\(\star\ \large\boxed{{Radius}}\rightarrow \textsf{\underline{4\ centimeters}}}}}\)
\(\star\ \large\boxed{{Height}}\rightarrow \textsf{\underline{9\ centimeters}}}}}\)
\(\star\ \large\boxed{{\pi}}\rightarrow \textsf{\underline{3}}}}}\)
\(\huge\textbf{What does should the equation look}\\\\\huge\textbf{like?}\)
\(\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}\)
\(\huge\textbf{What are the steps to solve for the}\\\\\huge\textbf{question to get the result?}\)
\(\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{3\times4\times4\times9}{3}}}\)
\(\large\boxed{= \mathsf{\dfrac{3\times16\times9}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{48\times9}{9}}}\)
\(\large\boxed{\mathsf{= \dfrac{432}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{432 \div 3}{3\div3}}}\)
\(\large\boxed{= \mathsf{\dfrac{144}{1}}}\)
\(\large\boxed{\mathsf{= 144\div1}}\)
\(\large\boxed{= \textsf{144}}\)
\(\huge\textbf{What is the result to this question?}\)
\(\huge\boxed{\frak{144\ cm^3}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)Instructions Solve for x ?
Answer:
\(2x = \frac{1}{2} \times 20 = 10 \\ = > x = 5\)
Type the correct answer in the box. Use numerals instead of words. What value of x makes this equation true? -2x + 3 = -15 x =
Answer:
x=9
Step-by-step explanation:
plug in the number 9
-2(9)= -18
-18+3= -15
This one is confusing please someone help:
1. give another name for plane p
2. name a line that intersects the plane
3. name two rays
4. name 3 points in plane p
1.You can find another name for plane P by using any three points in the
plane that are not on the same line. Hence, the another name for plane P is the plane GAC .
2. The line intersects the plane is EF
3. The two rays in the plane are CB , DB
4. A,B,C are three points in the plane p.
What is meant by plane?Spanned by two linearly independent vectors, a plane is a doubly ruled surface in two dimensions. Hyperplanes are the result of extending the plane to higher dimensions. The dihedral angle is the angle at which two planes intersect.
Using any three points on the plane that are not on the same line, you can come up with another name for plane P. Therefore, another name for plane P is GAC. The plane is intersected by the line at EF. CB and DB are the two rays in the plane. There are three points in the plane p, A, B, and C.
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HELP PLEASE I DON'T KNOW THE ANSWER I REALLY NEED HELP
Answer: S
Step-by-step explanation: flip the triangle and you'll see the answer.
A ___ is a portion of __ that has a definite length and it is located between two points.
Ray
Line
Segment
Segment is a portion of line
The correct answer is segment and line.
The following information should be considered;
A segment should be the portion of the line that contains the definite length. Also, it should be located between two points. Therefore, the ray option should be ignored.Learn more: brainly.com/question/17429689
• A farmer has 55 acres of land. He divides the land into fields that are 1& acres each. How many fields does he create? Simplify the answer.
The farmer creates 36 Fields from his 55 acres of land.
To determine how many fields the farmer creates from his 55 acres of land, we need to divide the total acreage by the size of each field.
Given that each field is 1& acres, we can simplify this measurement to 1.5 acres.
To find the number of fields, we divide the total acreage by the size of each field:
Number of fields = Total acreage / Size of each field
Number of fields = 55 acres / 1.5 acres
To simplify the division, we can express 55 as a fraction with a denominator of 1. This gives us:
Number of fields = 55/1 acres / 1.5 acres
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
Number of fields = (55/1 acres) * (1/1.5 acres)
Now, let's perform the multiplication:
Number of fields = (55 * 1) / (1 * 1.5) acres
Number of fields = 55 / 1.5 acres
To simplify the division, we divide 55 by 1.5:
Number of fields = 36.6667 acres
Since the number of fields must be a whole number, we round down to the nearest whole number. Therefore, the farmer creates 36 fields.
In conclusion, the farmer creates 36 fields from his 55 acres of land.
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f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is constant
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is a constant.
The solution to the question is shown below.
Step 1: We have given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
We have to find the number of words we have to write to express this function in words.
Step 2: Solution
f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶
Where,
et5+4t = exponential function
ln(t²+3c)⁷ = natural logarithmic function
te-1 = linear function
e⁶ = exponential function
Therefore, f(t) can be expressed in words as:
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Step 3: Conclusion
Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
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A cylinder has a radius of 2.5meters. Its volume is 37.5\pi cubic meters. What is the height of the cylinder?
Answer: height = 1.91 m
Step-by-step explanation: Using the formula
V=πr2h
Solving for h
h=V
πr2=37.5
π·2.52≈1.90986m
Select the graph for the solution of the open sentence. Click until the correct graph appears. 4|x| - 1 < -4
Answer:
No solution!
Just turned it in <3
Ted left at 8:00 a.m to walk to the dog park. It took him 30 minutes to get there.
what time did ted get to the dog park?
Answer:
8:30 am
Step-by-step explanation:
Answer:
8:30 a.m
Step-by-step explanation:
8:00
+ 30
_____
8:30 a.m
PLEASE ANSWER QUICK (GIVING BRAINLESIT)
a submarine is located 358 feet below sea level. it ascends 169 feet. At what depth is the submarine now
Answer:
189
Step-by-step explanation:
Ascending means to go upwards. So, since it is below the surface heading upwards, you would subtract the amount of feet that it went up by from the depth it was previously at.
358, take away 169, is 189.
I hope this helped! :)
Which point is NOT on the line y = 2x + 3?
A (-1,1)
B (0,5)
C (2,7)
D (3,9)
Please add an explanation for the answer (if possible) thanks!
Answer:
i thinks the answer of that is letter A
Use the graph to answer the question.
Graph of polygon ABCDE with vertices at negative 1 comma negative 4, negative 1 comma negative 1, 3 comma negative 1, 3 comma negative 4, 1 comma negative 6. A second polygon A prime B prime C prime D prime E prime with vertices at negative 11 comma negative 4, negative 11 comma negative 1, negative 15 comma negative 1, negative 15 comma negative 4, negative 13 comma negative 6.
Determine the line of reflection.
Reflection across the x-axis
Reflection across x = −6
Reflection across the y-axis
Reflection across y = −6
Answer:
Reflection across x = -6
Step-by-step explanation:
if you drew a line at x = -6, the polygons would be the same units away from each other from the axis
Answer:
Reflection across y = −6
Step-by-step explanation:
Because, the -6 is where the in between would be when lining it up and it is going left and right so it is y a axis, as x would be up and down reflection.
the value of “y” varies directly with “x”. if y= 56, then x= 4
Find the length indicated. Find BD
BE = 3x - 1
BC = BD - CD = 2x - 4 - 2
DE = CE - CD = 2x - 3 - 2
_______________________
BC + CD + DE = BE
( 2x - 4 - 2 ) + 2 + ( 2x - 3 - 2 ) = 3x - 1
2x - 6 + 2 + 2x - 5 = 3x - 1
2x + 2x - 5 - 6 + 2 = 3x - 1
4x - 11 + 2 = 3x - 1
4x - 9 = 3x - 1
Add both sides 9
4x - 9 + 9 = 3x - 1 + 9
4x = 3x + 8
Subtract both sides 3x
4x - 3x = 3x - 3x + 8
x = 8
___________________
BD = 2x - 4
BD = 2(8 ) - 4
BD = 16 - 4
BD = 12
And we're done...
!!NO LINK!! LPEASE HELP DUE RIGHT NOW!!
Answer: 8(10^6)
Step-by-step explanation: hope this helps
Select the figure that shows a division into composite parts. Then find the area of the figure. Each square represents 1 square unit. Round to the nearest tenth, if necessary. The area of the composite figure is sq. units.
The total area is given as 30 sq units.
What is Area of a Composite Figure?A composite figure is a two-dimensional shape that is made up of two or more simpler shapes, such as squares, rectangles, triangles, circles, or trapezoids. The area of a composite figure is the total amount of space that is enclosed within its boundaries.
To find the area of a composite figure, you need to first identify all of the individual shapes that make up the figure. Then, you can find the area of each shape using the appropriate formula. Finally, you add up the areas of all the shapes to get the total area of the composite figure.
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We can use a normal probability model to represent the distribution of sample means for which of the following reasons? Check all that apply. the sample is randomly selected the distribution of the variable in the population is normally distributed the sample size is large enough to ensure that sample means will be normally distributed
All three reasons (1, 2, and 3) can be valid for using a normal probability model to represent the distribution of sample means.
1, 2, and 3 are correct.We can use a normal probability model to represent the distribution of sample means for the following reasons:
1. The sample is randomly selected. This ensures that each member of the population has an equal chance of being selected, reducing potential biases and allowing the use of a normal probability model.
2. The distribution of the variable in the population is normally distributed. When the population distribution is normal, the distribution of sample means will also be normally distributed, as stated by the Central Limit Theorem.
3. The sample size is large enough to ensure that sample means will be normally distributed. As the sample size increases, the distribution of sample means approaches a normal distribution, even if the original population distribution is not normal. This is also part of the Central Limit Theorem, which typically suggests a sample size of 30 or more.
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What information is needed to write the equation of a line in point-slope form?
The location of one ordered pair that lies on the line and the line's slope.
The line's slope and one ordered pair that is not on the line.
The location of one ordered pair on the line and one ordered pair that is not on the line.
The slope of the line and the location of the origin.
The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option
Point-slope form of the equation of a lineFrom the question, we are to determine the information that is needed to write the equation of a line in point-slope form.
The point-slope form of a line is given as
y - y₁ = m(x - x₁)
Where, (x₁, y₁) is a point on the line
and m is the slope of the line
Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:
1. An ordered pair on the line
2. The slope of the line
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GIVING BRAINLIST, REPORTING LINKS AND INCORRECT ANSWERS
Which expression is equivalent to -12(3x - 3/4) ?
A: -36x - 8
B: -36x + 8
C: -36x - 9
D: -36x + 9
Answer:
-12(3x - 3/4) = -36X+9
Step-by-step explanation:
Multiply through out by -12 in order to remove the brackets
_____ is used to explore large amounts of data for hidden patterns to predict future trends. Data governance Data mining Linear regression Drill down
Exploring large amount of data in other to explore underlying trends which cannot be uncovered by visual inspection or simple algorithms are analysed using Data mining.
Data mining are often performed using a network of interconnected computed or networks with very high processing capability and can handling high computational complexity due to the very large amount of data involved when data is being mined.
Linear regression are used on small data sets which cannot be compared to the vast amount of data involved in data mining.
Hence, data mining helps to uncover trends when exploring very large datasets.
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Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answers.) (a) − 445 ∘ (b) 740 ∘
a) -85 degrees is a positive co-terminal angle of -445 degrees and -805 degrees is a negative co-terminal angle of -445 degrees.
b) 380 degrees is a positive co-terminal angle of 740 degrees and 20 degrees is a negative co-terminal angle of 740 degrees.
(a) -445 degrees:
To find a positive co-terminal angle, we can add 360 degrees to -445 degrees:
-445 + 360 = -85
To find a negative co-terminal angle, we can subtract 360 degrees from -445 degrees:
-445 - 360 = -805
(b) 740 degrees:
To find a positive co-terminal angle, we can subtract 360 degrees from 740 degrees:
740 - 360 = 380
To find a negative co-terminal angle, we can subtract 720 degrees from 740 degrees:
740 - 720 = 20
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Simplify 3 1/4 ÷ 5/6
6/5
1 1/5
5/6
8/15
Answer:
Exact Form:
39 /10
Decimal Form:
3.9
Mixed Number Form:
3 9/10
Step-by-step explanation:
Answer:
\( \frac{39}{10} = 3 \frac{9}{10} \)
Step-by-step explanation:
3 1/4 ÷ 5/6
13/4 × 6/5
13/2 × 3/5
= 39/10 = 3 9/10
Find the volume of the right cone below in terms of π.
Answer:
units
16
6
Submit Answer
SIZED
Answer:
192pi units^3
Also correct: 603.19
Step-by-step explanation:
Electric utility poles in the form of right cylinders are made out of wood that costs $15.58 per cubic foot. calculate the cost of a utility pole with a radius of 0.75 ft and a height of 45 ft. round your answer to the nearest cent.
The cost of the wood will be $1,238.32177
What is Volume of a cylinder ?
The formula for calculating the volume of a cylinder is expressed as:
V = \(\pi\)\(r^{2}\)h
where:
r is the radius
h is the height
Given the following parameters
r = 0.75ft
h = 45ft
Get the volume of the cylinder
V = \(\pi\)\(r^{2}\)h
V = (3.14)(0.75)(0.75)(45)
V = 79.4815\(ft^{3}\).
If the wood costs $15.58 per cubic foot, hence the cost of the wood will be 79.4815 * 15.58 = $1,238.32177
Hence , The cost of the wood will be $1,238.32177
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find series solution for the following differential equation. your written work should be complete (do not skip steps).y'' 2xy' 2y=0
To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:
Now, substitute y(x), y'(x), and y''(x) into the differential equation:
∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0
We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:
We can combine the three summations into a single summation:
∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0
Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:
This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:
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Find the equation of the line
Answer:
y=-¹/₃x+5
Step-by-step explanation:
y=ax+b
(0,5) (6,3)
x=0 y=5, x=6 y=3
5=a*0+b
3=a*6+b
5=b
3=6a+b
6a+5=3
6a=-2
a=-¹/₃
y=-¹/₃x+5
(a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded above by the (inverted) parabola y (10x), bounded on the right by the straight line z = 5, and is bounded below by the horizontal straight line y = 9. (b) Write down an integral (or integrals) for the area of the region R.: (c) Hence, or otherwise, determine the area of the region R.
The integrals, we get:
∫0^0.5 (10x - 9) dx = [(5x^2) - (9x)]0^0.5 = 0.625
∫0.5^1 (5 - 9) dx = [(5x) - (9x)]0.5^1 = -1.25
Area(R) = 0.625 - 1.25 = -0.625
Since area cannot be negative, we must have made an error in our calculations. Looking back at the sketch, we see that the region R is actually above the x-axis, and so we must have made an error in evaluating the integral for the part between the parabola and the line y = 9. The correct integral for this part is:
∫0.5^1 (10x - 9) dx
∫0.5^1 (10x - 9) dx = [(5x^2) - (9x)]0.5^1 = 0.625
Area(R) = 0.625 + 1.25 = 1.875
The area of region R is 1.875 square units.
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a cylindrical tank for refrigerant has an inside diameter of 14 inches and is 16 inches high. what is the volume of the tank in cubic inches?
The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.
The volume of a cylinder can be calculated using the formula:
\(\[ V = \pi r^2 h \]\)
where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.
In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:
\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)
Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.
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