find the value of each of the lettered angles in the diagram below
Answer:
Angle a = 114 Angle b = 114 Angle c = 66 Angle d = 66
Step-by-step explanation:
180 - 48 = 132
132/2= 66
180 - 66 = 114
Can you please help me with these problems, I just don't really understand how to calculate the area of these types of shapes.
thank you!
4. Not enough info, the shape is cut off. Are there 4 sides or 5? If there's a 5th side, is it slanted or parallel to the one labeled 10 ft?
5. The circle has a radius of 7 m, so its area is
π (7 m)² = 49π m²
Subtract from this the area of the white triangle. It has a base length equal to the diameter (i.e. twice the radius) of the circle, and a height equal to the radius, so its area is
1/2 (14 m) (7 m) = 49 m²
So the area of the shaded region is (49π - 49) m², or 49 (π - 1) m².
6. The rectangle has length 14 yd and height equal to the diameter of the circular cutout, 10 yd, so its area is
(14 yd) (10 yd) = 140 yd²
The circular cutout is a semicircle with radius 5 yd, so its area is
1/2 π (5 yd)² = 25π/2 yd²
Then the area of the shaded region is (140 - 25π/2) yd², or 1/2 (280 - 25π) yd².
7. The circle has radius 13 in, so its area is
π (13 in)² = 169π in²
The triangle has height 23 in and length 12 in, so its area is
1/2 (23 in) (12 in) = 138 in²
Then the area of the shaded region is (169π - 138) in².
8. The shaded region is a rectangle with a smaller rectangular cutout. The larger rectangle has height 19 cm and length 18 cm + 16 cm = 34 cm, so its area is
(19 cm) (34 cm) = 646 cm²
The smaller rectangular cutout has length 16 cm and height 19 cm - 16 cm = 3 cm, so its area is
(16 cm) (3 cm) = 48 cm²
Then the area of the shaded region is 646 cm² - 48 cm² = 598 cm².
9. The semicircular piece has radius 3 m, so its area is
1/2 π (3 m)² = 9π/2 m²
The triangle has height equal to the semicircle's diameter, 6 m, and length 9 m, so its area is
1/2 (6 m) (9 m) = 27 m²
Then the area of the shaded region is (9π/2 + 27) m², or 1/2 (9π + 54) m².
Activity 1. Evaluate the following limits.
5. lim
1. lim 13 (1 point)
x-1
2. lim 2x (1 point)
x +4
3. lim 2x2 + 3x + 5 (2 points)
x-1
x+1
4. lim (2 points)
x+3x-2
8x3-27
(4 points)
X
V 4x2-9
2
8x+1
6. lim (2 points)
2+1 V X+3
Vh+2-12
7. lim
(4 points)
れ→0
h
2x2-2-3
8. lim
(4 points)
3---1x3+2x2+6x+5
4x²_g
9. lim (3 points)
3 2x+3
x 2
x2-9
10. lim
(3 points)
X--3 V
2x2+7x+3
The limits are important in calculus and mathematical analysis and can be used to define integrals, derivatives and continuity. The limit of the given function is 4.
What is limit of a function?In mathematics, the limit is defined as the value that a function approaches the output for the given input values. It is used in the analysis process and it always concerns about the behaviour of the function at a particular point.
The upper and lower limits are used to define the definite integrals whereas the indefinite integrals are defined without using the limits and it have an arbitrary constant while integrating the function.
The limit of the given function is:
limₓ → -1 (2x² + 3x + 5)
(2 × (-1)² + 3 × (-1) + 5)
(2 × 1 + (-3) + 5) = ( 2 - 3 + 5)
= 4
So the limit of the given function is 4.
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Your question is incomplete most probably your full question was:
Evaluate the given limit lim ₓ → -1 (2x² + 3x + 5)
help me out with a and b
i Will give brainliest and follow you back if you answer first.
Answer:
Step-by-step explanation:
A = {2,8,10,14}
B= {6,8,20}
C={8,18,20,24}
A ∩ B --> intersection means elements that are in both sets A & B
A ∩ B = {8}
A∩ C = {8}
B ∩ C = {8 , 20}
A∩B ∩ C = {8}
First blue box = { 2,10, 14}
Second blue box = {18, 24}
First green box = { 8}
Second green box = { 20}
b) A ∩ B = {8}
n [ A ∩ B] = 1
Probability of the number to be a member of A∩B = 1 / 25
Help will award brainliest!!!!
IS THE ANSWER A?
Answer:
it is A becuase it passes through 0,0 and 5,5 the rest either pass through 5,5 but not 0,0 and B doesnt pass thorugh 5,5 but does pass thorugh 0,0 so its A
Step-by-step explanation:
The ____________________ school, led by naturalist john muir, wanted wilderness areas on some public lands to be left untouched.
The preservation/list school, led by naturalist John muir, wanted wilderness areas on some public lands to be left untouched.
What does it mean if a person is a naturalist?A naturalist lifestyle is a term that connote that a person is making or developing values that makes or forms empathy and caring in regards to nature.
Therefore, The preservation/list school, led by naturalist John muir, wanted wilderness areas on some public lands to be left untouched.
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Anita está asiendo pan de calabaza y tiene medio galón de masa ella planea verter la masa en un molde de vidrio con longitud de 9 pulgadas un ancho de 4 y una profundidad de cuatro determine si toda la masa cabra en el sartén
All the batter would fit into the pan as it has more volume than half a gallon.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
We know, One gallon is equal to 231 cubic inches.
Therefore, Half a gallon is equal to 231/2 cubic inches.
The volume of the pan is (9×4×4) cubic inches.
= 144 cubic inches.
Now, 144 > 231/2, so it would fit.
Q. Anita is baking pumpkin bread and has a half gallon of batter. She plans to pour the batter into a glass pan with a length of 9 inches, a width of 4 inches, and a depth of four. Determine if all the batter will fit in the pan.
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what part of the expansion of a function f[x] in powers of x best reflects the behavior of the function for x's close to 0?
The coefficient of the x term in the expansion of f[x] best reflects the behavior of the function for x's close to 0.
The behavior of a function for x values close to 0 can be understood by examining its expansion in powers of x. When a function is expanded in a power series, each term represents a different order of approximation to the original function. The coefficient of the x term, which is the term with the lowest power of x, provides crucial information about the behavior of the function near x = 0.
In the expansion of f[x] = a0 + a1x + a2x² + ..., where a0, a1, a2, ... are the coefficients, the term with the lowest power of x is a1x. This term captures the linear behavior of the function around x = 0. It represents the slope of the function at x = 0, indicating whether the function is increasing or decreasing and the rate at which it does so. The sign of a1 determines the direction of the slope, while its magnitude indicates the steepness.
By examining the coefficient a1, we can determine whether the function is increasing or decreasing, and how quickly it does so, as x approaches 0. A positive value of a1 indicates that the function is increasing, while a negative value suggests a decreasing behavior. The absolute value of a1 reflects the steepness of the function near x = 0.
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the ____ numbering system is base 16; in other words, 16 numerals are used to express any given number
The hexadecimal system numbering system is base 16; in other words, 16 numerals are used to express any given number.
In this system, 16 numerals are used to represent any given number. The numerals used in this system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F, where A represents 10, B represents 11, and so on, up to F, which represents 15.
This system is commonly used in computer science, as it is more compact than the decimal system, and allows for easier conversion between binary and decimal systems. In the hexadecimal system, each digit represents a power of 16, just as each digit in the decimal system represents a power of 10.
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please help!! will mark brainliest
Answer:
x
Step-by-step explanation:
x is smaller than or equal to -5
x is an element of real numbers
Recall that the dimensions of the classroom are 14 feet by 12 feet by 7 feet. Since 8 ping-pong balls can fit in a one-foot stack, multiply each dimension of the classroom by 8 to determine the number
If the dimensions of the classroom are 14 feet by 12 feet by 7 feet, and 8 ping-pong balls can fit in a one-foot stack, then the number of ping-pong balls that can fit in the classroom is 9408.
The number of ping-pong balls that can fit in the classroom can be calculated by multiplying the number of ping-pong balls that can fit in a one-foot stack by the length, width, and height of the classroom.
The length of the classroom is 14 feet, so 14 * 8 = 112 ping-pong balls can fit in a one-foot stack along the length of the classroom.
The width of the classroom is 12 feet, so 12 * 8 = 96 ping-pong balls can fit in a one-foot stack along the width of the classroom.
The height of the classroom is 7 feet, so 7 * 8 = 56 ping-pong balls can fit in a one-foot stack along the height of the classroom.
Therefore, the total number of ping-pong balls that can fit in the classroom is 112 * 96 * 56 = 9408.
The problem states that 8 ping-pong balls can fit in a one-foot stack. This means that the diameter of a ping-pong ball is slightly less than 1 foot.
The problem also states that the dimensions of the classroom are 14 feet by 12 feet by 7 feet. This means that the classroom is 112 feet long, 96 feet wide, and 56 feet high.
By multiplying the number of ping-pong balls that can fit in a one-foot stack by the length, width, and height of the classroom, we can calculate that the number of ping-pong balls that can fit in the classroom is 9408.
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find the value using order of operations (29-18) +14 divided by 2 +6
Answer:
3.625
Step-by-step explanation:
That's the answer unless you need to round it.
Answer:
You should explain moreStep-by-step explanation:
Just ask the real questionwhat is the slope of (-4,-6) (2,-4)
Answer:
m=1/3
Step-by-step explanation:
In the expression 4/5 ÷ 3/4 is the same as..
Answer:
Multiplying by
\( \frac{4}{3} \)
Step-by-step explanation:
\( \frac{4}{5} \div \frac{3}{4} \)
\( = \frac{4}{5} \times \frac{4}{3} \)
Answer:
multiplying by 4/3
Step-by-step explanation:
"keep-change-flip"
1. "keep" the 4/5
2. change the division sign to multiplication sign
3. flip the fraction 3/4, to 4/3
The system defined by the input-output relation y(u) -x() cos(2T fo), where fo is a constant, is called a modulator. Is this system linear? Is it time invariant?
The system with an input-output relation y(u) -x() cos(2T fo), where fo is a constant, is linear but not time-invariant.
To determine whether the system defined by the input-output relation y(u) = x(t) cos(2πf0 t) is linear or time-invariant, we need to apply the superposition principle and the time-invariance test.
Linearity:
A system is linear if it satisfies the superposition principle, which states that the response to a sum of inputs is equal to the sum of the individual responses to each input. Mathematically, this can be expressed as:
y(u) = a1x1(u) + a2x2(u)
where a1 and a2 are constants, x1(u) and x2(u) are two arbitrary input signals, and y(u) is the corresponding output.
Let's apply this principle to the given system:
y1(u) = x1(t) cos(2πf0 t)
y2(u) = x2(t) cos(2πf0 t)
y(u) = y1(u) + y2(u) = x1(t) cos(2πf0 t) + x2(t) cos(2πf0 t)
This is a sum of two inputs, and the output is the sum of the individual responses to each input. Therefore, the system is linear.
Time-Invariance:
A system is time-invariant if its behavior does not change over time. In other words, if the input signal is shifted in time, the output signal is also shifted by the same amount of time.
Let's test the time-invariance of the given system:
Assume the input signal is x1(t), and the corresponding output is y1(t) = x1(t) cos(2πf0 t).
Now, let's shift the input signal by a time τ to get a new input signal x2(t) = x1(t-τ). The corresponding output is y2(t) = x2(t) cos(2πf0 t) = x1(t-τ) cos(2πf0 t).
Let's compare the two outputs:
y2(t) = x1(t-τ) cos(2πf0 t)
y1(t-τ) = x1(t-τ) cos(2πf0 (t-τ))
We can see that y2(t) and y1(t-τ) are not equal, which means the system is not time-invariant.
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Casey writes a story. She writes 12 pages in two days.
Casey wrote a story consisting of 12 pages over the course of two days. Casey's accomplishment of writing 12 pages within a two-day timeframe demonstrates her dedication and productivity as a writer.
Writing a story requires creativity, focus, and the ability to articulate ideas effectively. In just two days, Casey managed to put her thoughts into words and create a narrative spanning 12 pages. This suggests that she possesses a strong command of storytelling techniques and the ability to maintain consistency and coherence throughout her writing process.
Writing a substantial amount within a short period of time can be challenging, as it requires sustained concentration and motivation. Casey's achievement highlights her commitment to her craft and her ability to meet deadlines or personal goals. Whether it was a burst of inspiration or disciplined effort, Casey's accomplishment of writing 12 pages in two days is a testament to her writing skills and determination as a storyteller.
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does 5, 5, 10 a right triangl
Answer:
yes it does
Step-by-step explanation:
please mark brainiest.
Answer:
Step-by-step explanation:
Sort the polygons.
Squares Not squares
Polygons are shapes that have the following:
-sides are all straight
-no overlapping
-shape is always closed
Hope this helps :)
A plumber charges $75 for a service call plus $45 per hour. If the plumber's bill was 210, how many hours was he there?
Answer:
the answer Is 3
can you help me in something please?
in rectangle ABCD, BD and AC are diagonals and intersect at E. If BD = 84 units and AE = 6y, what is the value of y
Answer:
y = 7
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other, then
AC = BD , that is
AE + EC = BD [ AE = EC = 6y ]
6y + 6y = 84
12y = 84 ( divide both sides by 12 )
y = 7
Rodolfo earns $30.00 in 5 days. Max earns $10.00 more than Rodolfo in 5 days. How much is the Max salary in 8 days?
x u y = {z l z ∈ x or z ∈ y} is a
X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.
A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.
The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.
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A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months. What is the standard error of the sample proportion?
a. 0.037
B. 0.057
C. 0.069
D. 0.016
The given information is as follows:A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months.
The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150
The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037
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A triangular shaped region has side lengths of 829 miles, 911 miles, and 1,007 miles.
Does the region form a right triangle? Justify your answer.
Answer: no it does not
Step-by-step explanation: Because 1,007 squared is 1,014,049 and the sum of 911 squared is 829,921 and then 829 squared is 687,241 then add 829,921+687,241=1,517,162 when it should equal 1,014,049 which is the amount of 1,007 squared to make it a right triangle.
The solution is : no, it does not form a right triangle.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
given that,
A triangular shaped region has side lengths of 829 miles, 911 miles, and 1,007 miles.
now, we get,
Because 1,007 squared is 1,014,049
and the sum of 911 squared is 829,921
and then 829 squared is 687,241
then add 829,921+687,241=1,517,162
when it should equal 1,014,049
which is the amount of 1,007 squared to make it a right triangle.
as we know that,
in right triangle,
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a^2 + b^2 = c^2.
so, we get,
The solution is : no, it does not form a right triangle.
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Given the points A(-1, 2) and B(7, 14), find the coordinates of the point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in the ratio 1:3. Show your work.
Answer:
(1, 5)
Step-by-step explanation:
The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.
P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)
The point of interest is (1, 5).
The GDP deflator in year 4 is 120 and the GDP deflator in year 5 is 130.
The rate of inflation between years 4 and 5 is
A) -10. B) 7.7. C) 8.33. D) 10.
11.) Refer to Table 6.5. Assume that this economy produces only two goods Good X and Good Y.
If year 1 is the base year, the value for this economy's GDP deflator in year 2 is
A) 84.5. B) 92.4. C) 105.0. D) 108.2.
12.) Refer to Table 6.5. Assume that this economy produces only two goods Good X and Good Y.
If year 2 is the base year, the value for this economy's real GDP in year 3 is
A) $270. B) $178. C) $156. D) $132.
SHOW THE MATH WORK FOR PRACTICE PROBLEMS
The rate of inflation between years 4 and 5 is is option (C) 8.33%
The Gross Domestic Product (GDP) deflator is a measure of inflation that reflects the average price level of all goods and services produced in an economy. It is calculated by dividing the nominal GDP (the total value of goods and services produced in an economy at current market prices) by the real GDP (the total value of goods and services produced in an economy at constant prices).
In this question, we are given that the GDP deflator in year 4 is 120 and the GDP deflator in year 5 is 130. This means that the average price level of goods and services in the economy has increased from year 4 to year 5.
To calculate the rate of inflation between the two years, we use the formula:
Inflation rate = ((GDP deflator in year 5 - GDP deflator in year 4) / GDP deflator in year 4) × 100%
Substituting the values given in the question, we get:
Inflation rate = ((130 - 120) / 120) × 100%
Inflation rate = (10 / 120) × 100%
Inflation rate = 8.33%
Therefore, the correct option is (C) 8.33%
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a geiger counter counts the number of alpha particles from radioactive material. over a long period of time, an average of 40 particles per minute occurs. assume the arrival of particles at the counter follows a poisson distribution. find the probability that at least one particle arrives in a particular one second period. round your answer to four decimals. 4incorrect find the probability that at least two particles arrive in a particular 2 second period. round your answer to four decimals.
The probability that at least two particles arrive in a two second period is .0003, or 0.03%.
The probability of at least two particles arriving in a two second period can be calculated using the Poisson distribution. The formula for the Poisson distribution is \(P(x; μ) = (e^-μ) (μ^x) / x!\), where μ is the expected number of arrivals (in this case, 80 for two seconds) and x is the number of arrivals (in this case, 2). Plugging the numbers into the formula gives us\(P(2; 80) = (e^-80) (80^2) / 2! = .0003\). Therefore, the probability that at least two particles arrive in a two second period is .0003, or 0.03%.
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WILL GIVE BRAINLIEST!!
A line has a slope of 1/3 and passes through the point (–9, –3). What is its equation in slope-intercept form?
Answer:
y = \(\frac{1}{3}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here slope m = \(\frac{1}{3}\) , then
y = \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation
- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )
0 = c
y = \(\frac{1}{3}\) x + 0 , that is
y = \(\frac{1}{3}\) x
Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.
S1 = 4
S2 = 6.84
S3 = 10.156
Therefore, all three choices (S1 = 4, S2 = 6.84, S3 = 10.156) describe the Subscript n Baseline = 4 (0.9) Superscript n.
The Subscript n Baseline = 4 (0.9) Superscript n has an initial value (S1) of 4, a second value (S2) of 6.84, and a third value (S3) of 10.156. To understand the concept of subscript and superscript better, let's dive into their definitions.
A subscript is a character that is positioned below the line of text. It is used to describe the type of element in a chemical compound. For example, H2O (water) consists of two hydrogen atoms and one oxygen atom, and the subscript number (2) describes the number of hydrogen atoms. A subscript can also indicate the placement of an element in a mathematical formula.
A superscript is a character that is positioned above the line of text. It is typically used to indicate an exponent (such as 10², which means 10 raised to the power of 2). Superscripts are also used in scientific notation to indicate the magnitude of a number
.Let's go back to our Subscript n Baseline = 4 (0.9) Superscript n. The formula indicates that the value of n in the superscript increases each time, and the value of the expression in the baseline decreases. S1, S2, and S3 are the values of the formula for n = 1, 2, and 3, respectively.
Therefore, we can calculate the values as follows:
S1 = 4S2
= 4(0.9)² + 4
= 6.84S3
= 4(0.9)³ + 4(0.9)² + 4
= 10.156
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stack algorithms can never exhibit belady's anomaly. true or fasle
The given statement "Stack algorithms can never exhibit Belady's anomaly" is True because stack algorithms, including LRU, do not exhibit Belady's anomaly due to their inherent properties that prioritize recently accessed pages and prevent increased page faults when the number of frames is increased.
Belady's anomaly is a phenomenon that occurs in certain page replacement algorithms used in computer systems, where increasing the number of allocated frames for a process can lead to an increase in the number of page faults. This anomaly is usually observed in algorithms like First-In-First-Out (FIFO) and Second Chance.
Stack algorithms, such as the Last-In-First-Out (LIFO) policy and the Least Recently Used (LRU) algorithm, do not exhibit Belady's anomaly due to their properties. In a stack algorithm, the most recently accessed pages are kept close to the top of the stack, while the least recently accessed pages are at the bottom.
The LRU algorithm, in particular, has been proven to be free from Belady's anomaly because it possesses the stack property. When a page is accessed, it is moved to the top of the stack, making it the most recently used page. If a new page needs to be loaded, the LRU algorithm will replace the page at the bottom of the stack, which is the least recently used page. Due to this behavior, adding more frames to the system will not cause an increase in the number of page faults.
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