The required time that it takes for 90 miles is 1.5 hour.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time. For instantaneous speed and average speed are equal for an object moving with constant speed.
The total distance is given as 240 miles.
And, the time taken is 4 hours.
Now, the speed can be calculated by taking the ratio of the distance and time as below,
Speed = Distance ÷ Time
⇒ Speed = 240 ÷ 4 = 60
Thus, the time taken to drive 90 miles is calculated as,
Time = Distance ÷ Speed
⇒ Time = 90 ÷ 60 = 1.5
Hence, the time taken to cover 90 miles is 1 hour.
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Which of the following is the best approximation of the area of a circle whose diameter is 14 feet?
88 square feet
44 square feet
616 square feet
154 square feet
Chayton read a report that said the probability that a randomly selected American is left-handed is 14%.
He was curious how many left-handed students to expect in a class of 20 students.
He simulated 25 classes of 20 students where each student selected had a 0.14 probability of being left-
handed.
Chayton counted how many left-handed students were in each simulated class. Here are his results:
Answer:
P(2 or fewer left-handed) = 9/25 = 0.36
Step-by-step explanation:
From Chayton simulations, we can see that in 9 simulations there are 2 or fewer left-handed students in a class of 20 students. He simulated 25 classes of 20 students, then the probability to find 2 or fewer left-handed is: 9/25 = 0.36
Which geometric series converges?
0.02+0.02+0.02+0.02+...
4+0.08 +0.0016+0.000032+
4+80+ 1.600+ 32,000+.
0.02+0.04+0.08+0.16+.
Answer:
4+0.08 +0.0016+0.000032+ ....
Step-by-step explanation:
a+ar+ar²+ar³+ar⁴+…
the geometric series converges if |r| < 1
The geometric series converges:
4+0.08 +0.0016+0.000032+ ....
0.08=4*0.02
0.0016=4*(0.02)²
0.000032=4*(0.02)³
r=0.02<1
The common ratio of the series 4+0.08 +0.0016+0.000032+.... is less than 1 which is 0.02. Then the correct option is B.
What is the geometric series?A geometric series is one where each pair of subsequent terms' ratios is a fixed function of the accumulation index. The ratio is a rational function of the accumulation index in a more comprehensive sense. creates what is known as a hypergeometric sequence.
If the common ratio is the same throughout the series, then the series is known as geometric series.
If the common ratio is less than one, then the series is known as convergence.
Let's check all the options, then we have
A. 0.02+0.02+0.02+0.02+...
Then the common ratio is given as,
r = 0.02 / 2 = 0.02 / 0.02
r = 1 = 1
B. 4+0.08 +0.0016+0.000032+....
Then the common ratio is given as,
r = 0.08 / 4 = 0.0016 / 0.08
r = 0.02 = 0.02
C. 4+80+ 1,600+ 32,000+.....
Then the common ratio is given as,
r = 80 / 4 = 1600 / 80
r = 20 = 20
D. 0.02+0.04+0.08+0.16+......
Then the common ratio is given as,
r = 0.04 / 0.02 = 0.08 / 0.04
r = 2 = 2
The common ratio of the series 4+0.08 +0.0016+0.000032+.... is less than 1 which is 0.02. Then the correct option is B.
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Is this relation a function? Justify your answer.
No, the relation isn't a function. Though positive and balanced, one input has two outputs, violating the "one input, one output" rule.
No, the relation depicted in the image is not a function. While the relation does have the same number of x values as y values, and all the values are positive, a key characteristic of a function is missing.
For a relation to be a function, each input (represented by the x -value) must correspond to exactly one output (represented by the y -value).
In the image, we see that the input value 1 has two corresponding output values, 7 and 11. Since an input value cannot have multiple outputs, this relation is not a function.
So the answer is D. No, because two points with the same x -value have different y values.
Simplify.
3a + 2b - 8a + b
11a+ 3b
5a+3b
-5a+3b
-11a + 2b
The table below represents Gerry's trip to school and back home. If the total time is 45 minutes, how far does Gerry live from school?
Chose the best equation to solve for x
Answer:
1) x/8+ x/16= 3/4 2) 4 miles
Step-by-step explanation:
The table is an illustration of distance, rates (speed) and time.
The best equation to solve for x is: [tex]\frac x8 + \frac x{16} = \frac 34[/tex].Gerry lives 4 miles from schoolFrom the question, we have:
[tex]t =45\ mins[/tex] --- total time spent
Convert to hours
[tex]t =\frac{45}{60}hr[/tex]
Reduce fraction
[tex]t =\frac{3}{4}hr[/tex]
The times spent to school and back home are given as:
[tex]t_1 = \frac x8[/tex]
[tex]t_2 = \frac x{16}[/tex]
So, we have:
[tex]t_1 + t_2 = t[/tex]
This gives:
[tex]\frac x8 + \frac x{16} = \frac 34[/tex]
Hence, the equation that can be used to solve for x is: [tex]\frac x8 + \frac x{16} = \frac 34[/tex]
Take LCM
[tex]\frac{2x + x}{16} = \frac 34[/tex]
[tex]\frac{3x}{16} = \frac 34[/tex]
Multiply through by 16
[tex]\frac{3x}{16}\times 16 = \frac 34 \times 16[/tex]
[tex]3x = 12[/tex]
Divide both sides by 3
[tex]x = 4[/tex]
The distance to school and back home are given as:
[tex]d_1 = d_2 = x[/tex]
So, we have:
[tex]d_1 = d_2 = 4[/tex]
This means that Gerry lives 4 miles from school
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Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown. Becker: 5,2,4,1,1,4,5,3,2,1 Kayla: 2,3,1,1,4,1,5,3,5,5 Based on the data, which estimate represents the mean number of games chess team members play per day?
Answer:
2.9
Step-by-step explanation:
The mean is the average of the date It is surprisingly easy to calculate: add up all the data, then divide by how many data points there are.
Becker's data added up is 28. Kayla's data added up is 30. The total amount is 58.
The amount of data points are 20.
58/20 = 2.9
Hope this helps!
The mean number of games chess team members play per day is 2.9
How to find mean of the dataBecker = 5,2,4,1,1,4,5,3,2,1
= (5 + 2 + 4 + 1 + 1 + 4 + 5 + 3 + 2 + 1) / 10
Mean average = 28 / 10
= 2.8
Kayla = 2,3,1,1,4,1,5,3,5,5
= (2 + 3 + 1 + 1 + 4 + 1 + 5 + 3 + 5 + 5) / 10
= 30 / 10
= 3
Total = Becker + Kayla
= 2.8 + 3
= 5.8
Mean average = 5.8 / 2
= 2.9
Therefore, the mean number of games chess team members play per day is 2.9
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A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFraction 5 over 2 EndFraction and passes through the (0, 2.5) and (2.2, negative 1.4). The second line is labeled y equals StartFraction 3 over 4 EndFraction x minus 3 and passes through (0, negative 3, 0.14) and (2.2, negative 1.4)
Which is the best approximate solution of the system of linear equations y = 1.5x – 1 and y = 1?
(0.33, 1)
(1.33, 1)
(1.83, 1)
(2.33, 1)
Answer:
Question 1. (2.2, -1.4)
Question 2. (1.33, 1)
Step-by-step explanation:
Equations for the given lines are
-----(1)
It is given that this line passes through two points (0, 2.5) and (2.2, 1.4).
------(2)
This equation passes through (0, -3) and (2.2, -1.4).
Now we have to find a common point through which these lines pass or solution of these equations.
From equations (1) and (2),
x =
x = 2.2
From equation (2),
y = -1.4
Therefore, solution of these equations is (2.2, -1.4).
Question 2.
The given equations are y = 1.5x - 1 and y = 1
From these equations,
1 = 1.5x - 1
1.5x = 2
x =
Therefore, the solution of the system of linear equations is (1.33, 1).
The correct approximate solution of the system of linear equations[tex]\( y = 1.5x - 1 \) and \( y = 1 \) is \( (1.33, 1) \).[/tex]
To find the solution, we need to set the two equations equal to each other since they both equal \( y \). This gives us the equation:
[tex]\[ 1.5x - 1 = 1 \][/tex]
Now, we solve for [tex]\( x \)[/tex]:
[tex]\[ 1.5x = 1 + 1 \][/tex]
[tex]\[ 1.5x = 2 \][/tex]
[tex]\[ x = \frac{2}{1.5} \][/tex]
[tex]\[ x = 1.\overline{3} \][/tex]
[tex]\[ x \approx 1.33 \][/tex]
Having found [tex]\( x \)[/tex], we can now find the corresponding [tex]\( y \)[/tex] value by substituting [tex]\( x \)[/tex] into either of the original equations. Since [tex]\( y = 1 \)[/tex] is given, we already know that [tex]\( y \)[/tex] is exactly 1. Therefore, the solution to the system is approximately [tex]\( (1.33, 1) \)[/tex].
Find the area of the section of the basketball court that is showh.
Round to the nearest tenth.
Answer:
Area is Base multipled by your height, so fro that particular section, it's quite a simple equation! :D
Step-by-step explanation:
Let's identify our sides. 39ft6in is our HEIGHT, and 5ft3in is our BASE.
- 39ft and 6in is a total of: 472 inches. 472 inches is 39.3ft
- 5ft and 3in is a total of: 63 inches. 63 inches is 5.3ft
Now that we know this, we can plug it in depending on the unit you need to find! Let's assume it's feet?
The Equation Completed: 5.3 × 39.3 = 208.29, which rounds to 208.3!
FINAL ANSWER: 208.3ft
4x - 5x + 9 = 5x - 9
Answer:
= 3
Step-by-step explanation:
4 − 5 + 9 = 5 − 9
− + 9 = 5 − 9
i hope this helps<3
:)
The value of solution of expression is,
⇒ x = 3
We have to given that;
Mathematical expression is,
⇒ 4x - 5x + 9 = 5x - 9
Now, We can simplify as;
⇒ 4x - 5x + 9 = 5x - 9
⇒ - x + 9 = 5x - 9
⇒ 9 + 9 = 5x + x
⇒ 18 = 6x
⇒ 6x = 18
⇒ x = 18 / 6
⇒ x = 3
Thus, The value of solution of expression is,
⇒ x = 3
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Which would be a correct first step to solve the following system of linear equations using the elimination method? 2x+3y=6
-x+3y=15
A) Add the two equations together
B) Multiply the second equation by 2
C) Write the first equation in the form y=Mx+b
D) Multiply the second equation by -3
Step-by-step explanation:
2X alla seconda meno 3
The length of the base of a square pyramid is 9 inches. The slant height is 12 inches. What is the surface area of the pyramid? A) 189 in2 B) 225 in2 C) 297 in2 D) 360 in2
Answer: C) 297 in2
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a square pyramid (S) = 2 (length of the base) slant + length of the base ^2
S = 2bs + b^2
Replacing with the values given:
S = 2 (9) 12 + 9^2
S = 216 +81 = 297 square inches
Feel free to ask for more if needed or if you did not understand something.
How does multiplying the variable of an absolute value function by a positive constant, k, affect the vertex of the function?
The vertex shifts up k units.
The vertex shifts to the right k units.
The vertex of the function doesn't change.
The vertex of the function changes from a minimum to a maximum or vice versa.
Answer:
C. The vertex of the function doesn't change.
What is the vertex of the quadratic function?
х) = (х – 8)(х – 4)
А. (-6,4)
В. (6-4)
с. (-4,8)
D. (4,8)
Answer:
The vertex is (6, -4)
Step-by-step explanation:
f(x) =(х – 8)(х – 4)
First find the zeros
0 = (х – 8)(х – 4)
0 = x-8 0 =x-4
x=8 x=4
The zeros are x=8 and x=4
The vertex is 1/2 way between the zeros
(8+4)/2 = 12/2 =6
To find the y value, substitute 6 into the function
f(6) = (6-8) (6-4)
= -2 (2) = -4
The vertex is (6, -4)
I really don’t get this how do I do this:(?
Answer:
You are drawing a right triangle. So draw the two lines off of the right angle. Then write 5 along one line. That line is now BC, so you can start naming points and putting in lengths. Then, draw the hypotenuse (AB) going from the end of the line you were writing next to, to the other line. Make sure it is at least twice as long, because it is 13 long. Then, to find the length of the last line, square 13, and subtract 25 from it. Take that number and find it's square root. You should get 12, which is your answer.
Step-by-step explanation:
What are the answers?
Answer:
あなたがこれを翻訳するなら私はあなたを愛しています
Step-by-step explanation:
私は英語がわかりませんが、答えは4倍になります
what is the mean of the value set 13,19,22,20,31,16,25,30
Answer:
the mean is the midle one
we can get this by getting the average
add all of it and divide by how many it is
Martin is using unit cubes to build a tower in the shape of a rectangular prism. A decripion of the tower is listed the bottom layer is made of 16 unit cubes. the bottom layer shape is in the shape of a square prism. 9 more equal layers of unit cubes are added on the top of the bottom layer. what is the total volume in cubic units of the completed tower
Answer:
Volume of the completes tower = 160 units³
Step-by-step explanation:
Martin is using unit cubes to build a tower in the shape of rectangular prism.
Bottom layer of the prism is in the square shape.
Since number of unit cubes used in the bottom layer = 16
So, one side of the square base will measure = √16 = 4 units
Therefore, Length = width = 4 units
On this base, additional layers added on the top = 9
Therefore, height of the tower = (9 + 1) = 10 units (each layer having 16 cubes)
Volume of the tower = Volume of the rectangular prism
= Length × width × height
= 4×4×10
= 160 cubic units.
Volume of the completed tower will be 160 cubic units.
The total volume in cubic units of the completed tower is 160 units³.
Calculation of the total volume;Since number of unit cubes used in the bottom layer = 16
So, one side of the square base should be
= √16 = 4 units
Now
Length = width = 4 units
The additional layers added on the top = 9
So, height of the tower = (9 + 1)
= 10 units
Now
Volume of the tower = Volume of the rectangular prism
= Length × width × height
= 4×4×10
= 160 cubic units.
hence, The total volume in cubic units of the completed tower is 160 units³.
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Algebraic Expression: The length of a rectangle is five inches less than triple the width. If the width is w inches, how long is the length of the rectangle?
Answer:
l=(3w-5) Inches
Step-by-step explanation:
Let the width of the rectangle =w inches
The length of a rectangle is five inches less than triple the width.
Let us break the statement down into parts.
Triple the width=3wFive inches less than triple the width =3w-5Therefore, the length of the rectangle, l= (3w-5) Inches
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION
Answer:
The value of DC is 66.34.
Step-by-step explanation:
The triangles ABC and DCA are right angled triangles.
The straight line AC is a bisector for angles C and A.
The measure of ∠C is 30°.
Then the measure of angles BCA and ACD will be 15° each.
The measure of angle DAB is 150°.
Then the measure of angles DAC and BAC will be 75° each.
Now consider the right angled triangle ABC.
The measure of side AC is:
[tex]AC^{2}=AB^{2}+BC^{2}\\AC=\sqrt{AB^{2}+BC^{2}}\\=\sqrt{4^{2}+(10\sqrt{3})^{2}}\\=\sqrt{316}[/tex]
Consider the right angled triangle DCA.
The angle DAC measure 75°.
Using the trigonometric identities compute the value of Perpendicular DC as follows:
[tex]tan\ 75^{o}=\frac{DC}{\sqrt{316}}\\\\DC=3.732\times\sqrt{316}\\\\DC=66.34[/tex]
Thus, the value of DC is 66.34.
Solve the equation. First estimate using the perfect square closest to 45. Then use a calculator. n2=45
Answer:22.5
Step-by-step explanation: just saying that is no the actual answer you still have to estimate it
The equation n² =45 is solved step by step. The nearest perfect squares, 36 and 49, are identified. Using a calculator, the square root of 45 is found to be approximately 6.708, satisfying the equation.
let's go through the steps to solve n² = 45 in detail:
Step 1: Find the Perfect Squares
The closest perfect squares to 45 are 6² = 36 and
7² = 49.
Since 45 is between 6² and 7², we'll use these values as reference.
Calculate the Square Root
We'll use a calculator to find the square root of 45.
√45 ≈ 6.708203932499369
So, the square root of 45 is approximately 6.708203932499369.
Step 3: Solve for n
Since we're looking for n² = 45, we have √n = 45.
Plugging in the calculated square root:
√n = 45
n ≈ 6.708203932499369
Thus, the approximate value of n that satisfies the equation n² = 45 is n ≈ 6.708.
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Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza? $12 $3 $1 $1.50
Answer:
$1.50
Step-by-step explanation:
12÷8=3/2 or 1.50
Answer: the answer would be 1$ and 50 cents
Step-by-step explanation:
Suppose you first want to eliminate the fraction in 4n=1/2(2n-12). What would your first step be? Is -2 still the solution when you start by eliminating the fraction first? Explain
Answer:
Step-by-step explanation:
Recognize that the (1/2) in 4n=1/2(2n-12) is a coefficient, the coefficient of the (2n - 12) term.
Thus, multiply both sides of this equation 4n=1/2(2n-12) by 2, to obtain:
8n = 2n - 12
Combining like terms, we get 6n = -12, so that n = -2.
Multiplying both sides of the equation by a constant does not in any way affect your ability to find a solution and does not change the solution.
Sarah’s essential (fixed) expenses are $750 per month, her essential (flexible) expenses are $500 per month, and her non-essential expenses are $250 per month. Her 401-K retirement account has $6,000, her education savings account has $3,000, and her emergency fund savings account has $2,300. Sarah wants an emergency fund of 5 times monthly living expenses. How much more does Sarah need to save to have an adequate emergency fund?
a.
$1,450
b.
$5,200
c.
$0
d.
$950
Answer:
B. 5,200
Step-by-step explanation:
Sarah's essential (fixed) expenses = $750 per month
Her essential (flexible) expenses = $500 per month
Her non-essential expenses = $250 per month
Her total monthly living expenses = 750 + 500 + 250 = $1,500
Sarah wants an emergency fund of 5 times monthly living expenses.
1500 × 5 = $7,500
Currently she is having her emergency fund savings account is = $2,300
She needs to save more = 7,500 - 2,300 = $5,200
Sarah need to save more $5,200.
Sarah need to save $5,200 to have an adequate emergency fund.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Sarah's essential (fixed) expenses = $750 per month
Her essential (flexible) expenses = $500 per month
Her non-essential expenses = $250 per month
⇒ total monthly living expenses = 750 + 500 + 250 = $1,500
∵ Sarah wants an emergency fund of 5 times monthly living expenses.
∴ emergency fund = 1500 × 5 = $7,500
Currently she is having her emergency fund savings account = $2,300
Thus, Amount needs to be save = 7,500 - 2,300 = $5,200
Thus, Sarah need to save $5,200 to have an adequate emergency fund.
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What shapes can be cross sections of the rectangular pyramid?
A slice parallel to the base will take the shape of a .
A slice perpendicular to the base and through the top vertex will take the shape of a .
A slice perpendicular to the base and not through the top vertex will take the shape of a .
Answer:
What shapes can be cross sections of the rectangular pyramid?
A slice parallel to the base will take the shape of a
✔ rectangle
.
A slice perpendicular to the base and through the top vertex will take the shape of a
✔ triangle
.
A slice perpendicular to the base and not through the top vertex will take the shape of a
✔ trapezoid
.
A slice parallel to the base will take the shape of the rectangle. A slice perpendicular to the base and through the top vertex will take the shape of a "triangle".A slice perpendicular to the base and not through the top vertex will take the shape of a "trapezoid".
A slice perpendicular to the base and through the top vertex will take the shape of a .
A slice perpendicular to the base and not through the top vertex will take the shape of a .
Take a rectangle and the base. Now take four triangles such that each of them is connected to one-one side of the base rectangle and when they are taken together, they form a closed object.
That shape is called a rectangular pyramid.
A slice parallel to the base will take the shape of a "rectangle"
A slice perpendicular to the base and through the top vertex will take the shape of a "triangle".
A slice perpendicular to the base and not through the top vertex will take the shape of a "trapezoid".
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Daniel's class has 30 students. In the class, 16 students are boys. Which decimal is equivalent to the fraction of the class that is boys?
Answer:
0.53333333333
Step-by-step explanation:
The fraction of the class that is boys is 16/30.Therefore, the decimal equivalent the fraction of boys in Daniel's class is 0.53.
Explanation:The fraction of the class that is boys is obtained by dividing the number of boys by the total number of students. In this case, there are 16 boys and 30 students in total. The fraction is therefore 16/30.
To write this fraction as a decimal, divide the numerator (16) by the denominator (30). The decimal equivalent of 16/30 is approximately 0.5333.
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A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find cos A, tan A, and sinA.
cosA =
0
tan A =
0
co
B
sinA =
Answer: Cos A = 0.96, Tan A = 0.29 and Sin A = 0.28
Step-by-step explanation: The right angled triangle can be solved by applying the trigonometric ratios given a follows;
Sin A = opposite/hypotenuse
Cos A = adjacent/hypotenuse
Tan A = opposite/adjacent
In the triangle ABC, the side AB (25) is the hypotenuse [facing the right angle], the side CB (7) is the opposite [facing the reference angle A°] while the side AC (24) is the adjacent [line between the reference angle and the right angle].
Therefore, using angle A as the reference angle;
(a) Cos A = adjacent/hypotenuse
Cos A = AC/AB
Cos A = 24/25
Cos A = 0.96
(b) Tan A = opposite/adjacent
Tan A= CB/AC
Tan A = 7/24
Tan A = 0.29
(c) Sin A = opposite/hypotenuse
Sin A = CB/AB
Sin A = 7/25
Sin A = 0.28
How will a high outlier in a data set affect the mean and median?
O A. distribution skewed to the right, mean not effected, median skewed to the right
O B. distribution skewed to the right, mean pulled to the right, median not effected
O C. distribution skewed to the right, mean not effected, median not effected
OD. distribution skewed to the left, mean pulled to the left, median not effected
Answer:
B. distribution skewed to the right, mean pulled to the right, median not effected
Step-by-step explanation:
When a distribution is skewed to the right, it means that the data is positively skewed or has more positive numbers than negative numbers.
An outlier can affect the mean of a distribution since a high value outlier will make the mean be much higher than the median. In this case, since the distribution is positively skewed, a high outlier will pull the mean to the right (to higher positive values).
The high outlier in a data set affects the mean and median is
B. distribution skewed to the right, mean pulled to the right, median not effected
The reason why will a high outlier in a data set affect the mean and median?At the time When a distribution is skewed to the right, so it represents the data is positively skewed or it contains more positive numbers as compared to the negative numbers. An outlier can impact the mean of the distribution.
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Pythagorean theorem:
Is a triangle with the following side lengths a right triangle? Why?
a = 8
b = 15
c = 17
Example:
This does/does not make a right triangle because...
Answer:
This does make a right triangle
Step-by-step explanation:
Because when you square 8 you get 64 and when you square 15 you get 225. Then you add those together and you should get 289 so when you find the square root of 289 is 17 which makes those number true
Yes, a triangle with side lengths a = 8, b = 15, and c = 17 is a right triangle.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Yes, a triangle with side lengths a = 8, b = 15, and c = 17 is a right triangle. This is because these side lengths satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have:
a² + b² = 8² + 15² = 64 + 225 = 289
c² = 17² = 289
Since a² + b² = c², these side lengths satisfy the Pythagorean theorem, and the triangle is a right triangle.
Thus,
Yes, a triangle with side lengths a = 8, b = 15, and c = 17 is a right triangle.
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a 5cm x 11cm rectangle sits inside a circle with a radius of 12cm
what is the area of the shaded region? the shaded region is the circle - the rectangle inside it.
Answer: 397.39 cm2
Step-by-step explanation:
Hi, first we have to calculate the area of the circle:
Area of a circle = π x r^2
Replacing with the values:
A(C) =π x 12^2 = 452.39cm2
Now, we have to calculate the rectangle area:
Rectangle area = width x length = 5 x11 = 55cm2
Finally, since the shaded region is the circle and the rectangle is inside of it, we have to subtract the area of the rectangle to the area of the circle:
452.39 -55 = 397.39 cm2
Feel free to ask for more if needed or if you did not understand something.
Answer:
397.39
Step-by-step explanation:
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