Please answer my question. Find the SA (surface area) of the composite shape. Round to the nearest tenth. Please help.
Answers
The total surface area of the composite shape is 488.7 in².
What is a composite shape?
A composite shape is a shape that was produced from two or more fundamental shapes. Composite shapes are also referred to as compound and complex shapes frequently. Every day, composite shapes are around us.
The given composite shape can be divided into multiple shapes, to find the area easily.
For the given question, we can see that the lower portion of the shape is a cuboid and the upper portion is half of the cylinder cut vertically.
We find the areas of the figures separately.
Area of cuboid
Length l = 6 in.
Breadth b = 10 in.
Height h = 8 in.
Area = Area of each faces = 2(lb) + 2(bh) +2(lh)
= 2(6*10) + 2(10*8) + 2(6*8)
= 2*60 +2* 80 + 2* 48
= 376 in²
Area of cylinder
Radius of semicircles r = 5 in.
Height of cylinder h = 6 in.
Area = Area of semicircles + Area of half of the curved surface
= 2 *1/2 * πr² + 1/2 * 2πrh = πr² + πrh = 3.14 * 5² + 3.14 * 5 * 6
= 172.7 in²
The total surface area of the composite shape = Area of cylinder + Area of cuboid - Area of the common surface(rectangle)
= 172.7 + 376 - (l *b) = 548.7 - ( 10*6) = 488.7 in²
Hence the total surface area of the composite shape is 488.7 in².
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Related Questions
1. Let (X, d) be a metric space. Define e : X × X −→ R by
e(x, y) = min {1, d(x, y)}, ∀ x, y ∈ X
Answers
The function e is a metric on X, as it satisfies the properties of a metric:
Non-negativity: e(x, y) ≥ 0, for all x, y in X.Identity of Indiscernibles: e(x, y) = 0 if and only if x = y.Symmetry: e(x, y) = e(y, x), for all x, y in X.Triangle Inequality: e(x, y) + e(y, z) ≥ e(x, z), for all x, y, z in X.What is a Metric Space?A metric space in mathematics is a collection with a concept of distance between its components, which are typically referred to as points.
A metric or distance function is used to calculate the distance. The most universal context for learning many of the ideas of mathematical analysis and geometry is metric spaces.
Hence, the properties of a metric were satisfied in function e, so it has been defined.
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PLEASE HELP ME!
Anna is considering writing and publishing her own book She estimates her revenue equation as R = 6.56x and her cost equation as C = 10.063 + 1.09x where x is the number of books she sells. Find the minimum number of books she must sell to make a profit
Anna must sell atleast ? books to make a profit.
Answers
The minimum number of books she must sell to make a profit is 2.
What is profit?In mathematics, the gain from any business operation is referred to as the profit. Every time a shopkeeper sells a product, his goal is to make a profit by getting something from the customer. Basically, he sells the item for more money than it costs.
Given that Anna estimates her revenue equation as R = 6.56x
And her cost equation as C = 10.063 + 1.09x.
To get profit revenue is greater than cost, i.e.
R>C
6.56x > 10.063 + 1.09x
subtract 1.09x from both sides
6.56x - 1.09x > 10.063
5.47x > 10.063
divide both sides by 5.47
x > 10.063/ 5.47
x > 1.84
So the minimum number of books she must sell to make a profit is 2.
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12/13 x 13/15 x 15/36
Answers
Answer:
1/3 or 0.33333
Step-by-step explanation:
To find the product of two fractions, multiply numerators and denominators separately.
You get 2340/7020 which simplifies to 1/3.
Hope that helps.
Answer:
1/3
Step-by-step explanation:
Step 1) 12/13 x 12/15 = 156/195
Step 2) 156/195 x 15/36 = 2340/7020
Step 3) Simplify to get 1/3
If Sadie spent a total of $2500 this month, how much did she spend on each of the following categories?
Answers
Answer: You did not include media attachments, there is not enough information to answer this post.
Step-by-step explanation:
Select the correct answer.
Four equivalent forms of a quadratic function are given. Which form displays the zeros of function h?
A. h(x) = -4(x − 2)(x + 2)
B. h(x) = -4(x2 − 4)
C. h(x) = -4x2 + 16
D. h(x) = -2(2x2 − 8)
Answers
London borrowed $6,900 from a lender that charged simple interest at a rate of 2.56% for 4 years. What is the amount of interest London paid at the end of the loan?
Answers
Answer:
Payment Every Month $151.39
Total of 48 Payments $7,266.66
Total Interest $366.66
Step-by-step explanation:
Hope this helps
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Erica is making plans to build a fence on her property line. She uses the map shown. Find the m<1
Answers
The unknown angle in the hexagon is as follows:
m∠1 = 148 degrees
How to find angles in a polygon?Erica is making plans to build a fence on her property line. Using the map let's find the angle m∠1 as follows:
Therefore, the angle m∠1 is one of the angle in the hexagon.
Therefore, the sum of angles in a hexagon is as follows:
sum of angles in hexagon = 180(n - 2)
where
n = number of sidessum of angles in hexagon = 180(6 - 2)
sum of angles in hexagon = 720 degrees
Therefore,
180 - 45 - 27 = 108 degrees
180 - 108 = 72 degrees
Hence,
m∠1 = 720 - 142 - 148 - 80 - 72 - 130
m∠1 = 148 degrees
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The P(A)= 0.03 and the P(B) = 0.34. Events A and B are mutually exclusive. What is the P(A or B).
Answers
Answer:
Step-by-step explanation:
The probability of A or B occurring is the sum of the probabilities of A and B occurring, since they are mutually exclusive events.
Mutually exclusive events are events that cannot occur at the same time. In other words, if one event occurs, the other event cannot occur.
Therefore, the probability of A or B is:
P(A or B) = P(A) + P(B)
P(A or B) = 0.03 + 0.34
P(A or B) = 0.37
So, the probability of A or B is 0.37.
SOLVE THIS AND GET 15 POINTS!!!!!
Answers
Explanation:
For any parallelogram, the adjacent angles add to 180.
T+S = 180
(4x+1)+(3x+4) = 180
7x+5 = 180
7x = 180-5
7x = 175
x = 175/7
x = 25
Now we can determine angles T and S.
angle T = 4x+1 = 4*25+1 = 100+1 = 101angle S = 3x+4 = 3*25+4 = 75+4 = 79Notice that they add to 101+79 = 180 to confirm the correct x value, and correct angle measures.
For any parallelogram, the opposite angles are congruent. This allows us to say:
angle T = angle R = 101 degreesangle P = angle S = 79 degreespls help!!! need some explanation
Answers
the measure of the side BD will be 5.
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The sum of all angle of triangle = 180
From the ΔACE the sides BD║AE
Here given BC=4 and BA=5
BD+10/2 = BA
BD +10 = 2BA
BD = 10-5 = 5
Hence the measure of the side BD will be 5.
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What quadrant is the point (2,3) in
Answers
Answer:
The point (2, - 3) lies in the third quadrant.
Solution
First quadrant X=positive and Y=positive
Second quadrant X=negative and Y=positive
Third quadrant X=negative and Y=negative
Fourth quadrant X=positive and Y=negative
(2,−3) has X=2, positive and Y=−3, negative
The point lies in the fourth quadrant. Hence, the given statement is False.
a. Give an example of a countable collection of disjoint open intervals. !b. Give an example of an uncountable collection of disjoint open intervals, or argue that no such collection exists.!
Answers
a. An example of a countable collection of disjoint open intervals is the collection of intervals (0, 1/n), where n is a positive integer. This collection of intervals is countable because it can be put in one-to-one correspondence with the positive integers.
What is the one-to-one correspondence?
In mathematics, a one-to-one correspondence between two sets is a bijective function that maps every element of one set to exactly one element of the other set, and vice versa.
b. An example of an uncountable collection of disjoint open intervals is the collection of intervals (x, x + 1/n), where x is a real number and n is a positive integer. This collection of intervals is uncountable because it can be put in one-to-one correspondence with the real numbers. To see this, note that for any real number x, we can find a positive integer n such that 1/n is smaller than x. Then, the interval (x, x + 1/n) corresponds to x.
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Compute the sample variance and sample standard deviation in business contexts Question The following set of data represents stock prices of a pharmaceutical company, find the sample variance of the: 14, 7, 10, 9. Round your answer to ONE decimal place.
Answers
The sample variance is 14.67 and the sample standard deviation is 3.83.
To find the sample variance, we first need to find the sample mean of the data set. The mean of the data set is (14 + 7 + 10 + 9) / 4 = 10. The variance is the average of the squared differences between each data point and the mean. The sample variance is ((14 - 10)^2 + (7 - 10)^2 + (10 - 10)^2 + (9 - 10)^2) / (4 - 1) = 14.67. The sample standard deviation is the square root of the sample variance, which is 3.83.
These values give us an idea of the spread or dispersion of the data around the mean. In a business context, the sample variance and sample standard deviation can be used to determine the risk associated with a stock investment.
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The number of days rain per month in London varies depending on the time of year. The data shows the number of wet days per month: 17 13 11 14 13 11 13 12 13 14 16 16(a) For this data, find (i) the median; (ii) the minimum and maximum values. The lower quartile of the data is 12.5 and the upper quartile of the data is 15 (b) Draw a box-and-whisker diagram to represent the data.
Answers
As a result, the median is 13. The data has a minimum value of 11 and a maximum value of 17.
What is median?The median is the value in the center of a data collection, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median. For a small data collection, count the number of data points (n) and arrange them in increasing order.
Here,
(a)(i) The median of the data can be found by ordering the data and finding the middle value. In this case, the data has 16 values, so the median is the average of the 8th and 9th values when the data is ordered. The median is therefore 13.
(ii) The minimum value of the data is 11 and the maximum value is 17.
(b) The box-and-whisker diagram is a graphical representation of the distribution of a set of data. It consists of a box, whiskers and dots that show the distribution of the data.
The box represents the interquartile range (IQR), which is the range of the middle 50% of the data. The IQR is calculated as the difference between the upper quartile (Q3) and the lower quartile (Q1). In this case, the IQR is 15 - 12.5 = 2.5.
The lower edge of the box is Q1 and the upper edge of the box is Q3. The line inside the box is the median.
Whiskers are drawn to the minimum and maximum values, excluding outliers. Outliers are values that are significantly different from the rest of the data. In this case, there are no outliers.
Dots may be used to represent individual data points.
Here's what the box-and-whisker diagram would look like for this data:
| |
| |
|_13|
12.5 15
The median is therefore 13. The minimum value of the data is 11 and the maximum value is 17.
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Jack Roper is a college student. He pays $17,000 per year in tuition and books, $600 per month in rent, $400 per month for food, and $125 per month for on-campus parking. He gave up a job that pays $45,000 per year to attend college. Given this, the implicit cost of his education equals
Answers
The implicit cost of Jack's education is $77,000, which is the amount of foregone income he gave up in order to attend college.
The implicit cost of Jack's education refers to the opportunity cost or the foregone income he gave up in order to attend college. It is a measure of the value of the next best alternative that he had to sacrifice.
First, let's find the total cost of tuition and books. Jack pays $17,000 per year, so the total cost will be 17,000 * 4 = $68,000 over 4 years of college.
Next, let's find the total cost of rent and food. Jack pays $600 per month for rent and $400 per month for food, so the total cost will be 600 + 400 = $1,000 per month. Over 4 years of college, this comes to 1,000 * 12 * 4 = $48,000.
Finally, Jack also pays $125 per month for on-campus parking, so the total cost will be 125 * 12 * 4 = $6,000.
Putting it all together, we can write the equation for the implicit cost of Jack's education as follows:
Implicit Cost = Foregone Income - Total Cost of Tuition, Rent, Food and Parking
Implicit Cost = 45,000 - (68,000 + 48,000 + 6,000)
Implicit Cost = 45,000 - 122,000
Implicit Cost = -77,000
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A sample of 12 drivers shows the time that they spent (in minutes) stopped in rush-hour traffic on a specific snowy day last winter. Round your answers to one decimal place.
45 47 46 60 62 61 72 56 59 71 73 59
Find the range, variance, and standard deviation
Answers
The range is 28, the variance of the data is 82.75 and the standard deviation is 9.09.
What is measure of dispersion?Data variability is assessed using measures of dispersion. Variance, range, interquartile range, percentiles, and standard deviation are examples of dispersion measurements. Measures of central tendencies, such as mean, mode, and median, are combined with measures of dispersion.
The range is the difference between the largest value and the smallest value. According to the data:
Range = 73 - 45 = 28.
The variance is given as:
V = ∑(x - x')² / n
Where, x is the frequency, x' is the mean and n is the number of elements.
x d = (x - x') d²
45 14.25 203.06
46 13.25 175.56
47 12.25 150.06
56 3.25 1.56
59 0.25 0.065
59 0.25 0.065
60 -1.25 1.56
62 -2.25 5.06
61 -1.75 3.06
72 -12.25 150.06
71 -11.25 126.56
73 -13.25 175.56
∑x = 711 ∑d² = 992.73
x' = 711 / 12 = 59.25
V = ∑d²/ n
V = 992.73 / 12 = 82.75
The standard deviation is given as:
SD = √V = √82.75 = 9.09
Hence, the range is 28, the variance of the data is 82.75 and the standard deviation is 9.09.
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name the corresponding parts given ALX≈GIW
Answers
Answer:
LX = WI
I = L
A = G
W = X
I = L
LAX = WIG
Use this graphic to answer the question. An engineer at an environmentally minded technology company has come up with a process to convert tire waste from the automobile industry into clean energy. Which detail best supports the inference that the auto manufacturing industry supports green solutions? Pyrolysis provides a waste-management solution for tire disposal. Auto manufacturers can profit by selling used tires to pyrolysis plants. Pyrolysis generates low-cost energy that can be used in the automobile manufacturing industry. Automobile manufacturers can save raw material costs by using recovered rubber to manufacture new tires.
Answers
The detail that best supports the inference that the auto manufacturing industry supports green solutions is -
"Pyrolysis generates low-cost energy that can be used in the automobile manufacturing industry".
What is Pyrolysis?The pyrolysis process is the thermal decomposition of materials at elevated temperatures, often in an inert atmosphere.
Given is that an engineer at an environmentally minded technology company has come up with a process to convert tire waste from the automobile industry into clean energy.
The detail that best supports the inference that the auto manufacturing industry supports green solutions is -
"Pyrolysis generates low-cost energy that can be used in the automobile manufacturing industry".
Therefore, the detail that best supports the inference that the auto manufacturing industry supports green solutions is -
"Pyrolysis generates low-cost energy that can be used in the automobile manufacturing industry".
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Please help will give brainliest, math, confused.
Answers
Answer:
[tex]\textrm{System A has \boxed{2} real solutions}\\\\\textrm{System B has \boxed{0} real solutions}\\\\\textrm{System C has \boxed{1} real solution}\\[/tex]
Step-by-step explanation:
For a quadratic equation of the form ax² + bx + c = 0
if b² - 4ac > 0 the system will have 2 real roots
if b² -4ac < 0, the system will have 2 imaginary roots(0 real solutions)
if b² -4ac = 0, the system will have exactly one real solution
System A solutions
[tex]x^2 + y^2 = 17\cdots\cdots (1)\\\\y = -\dfrac{1}{2}x\cdots\cdots (2)[/tex]
From equation (2) we get
x = -2y
Substitute this value for x in (1):
(-2y)² + y² = 17
4y² + y² = 17
5y² = 17
y = ±√(17/5)
Both values of y are real, and since x = -2y,x is also real
System B
The equations are:
y = x² - 7x + 10 (1)
y = -6x + 5 (2)
Since left side is y for both:
x² -7x + 10 = -6x + 5
Add 6x to both sides
=> x² -7x + 10 + 6x = -6x + 6x + 5
=> x² -x + 10 = 5
Subtract 5 both sides:
x² - x + 10 - 5 = 0
x² - x + 5 = 0
Comparing to the standard form we get
a = 1, b = -1, c = 5
b²- 4ac = (-1)² - (4 · 1 · 5)
= 1 - 20
= -19
Since b² - 4ac is negative, the system has no real roots
System C
y = -2x² + 9 (1)
8x - y = -17 (2)
In equation(2) isolate y by moving 8x to the right and multiplying by -1
=> -y = -8x - 17
=> y = 8x + 17 (3)
Set right sides of (1) = (3) right side
-2x² + 9 = 8x + 17
Move 8x + 17 to left side
=> -2x² + 9 - (8x + 17) = 0
=> -2x² + 9 - 8x - 17 = 0
=> -2x² - 8x - 8 = 0
we have a = -2, b = -8, c = -8
b² - 4ac = (-8)² - (4)(-2)(-8)
= 64 - (64) = 0
Hence this system has 1 real root
What is the answer to 19-6(-k-2)
Answers
Answer:
6k + 31
Step-by-step explanation:
19 - 6(- k - 2) ← multiply each term in the parenthesis by - 6
= 19 + 6k + 12 ← collect like terms
= 6k + 31
Given a simplified rate of (1/2), determine the percent change.
Answers
Therefore , the solution of the given problem of ratio comes out to be percent change is 50% for the 1/2.
What is ratio?To construct a pair of related variables "a" with "b," whereby "b" may also be bigger than zero, apply the straightforward formula "a / b." Two ratios are combined to form one ratio. The ratio would indeed be 1:1 if there were just one guy and three women. In the group, there are fraction 3/4 girls and 1/4 boys. Parts can be a division between two or more items, a number, or a portion of the volume of a component.
Here,
Given :
Ratio is 1/2
To convert into percentage ,
We multiply it by 100
=> 1/2 * 100
=> 50 %
Thus , percent change is 50%
Therefore , the solution of the given problem of ratio comes out to be percent change is 50% for the 1/2.
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A section of an exam contains six true-false questions, each with two answer choices (listed "T" for true and "F" for false). Assume the outcomes are equally likely.
What is the probability that all six answers are "F"?
What is the probability that at least one answer is "T"?
Answers
Answer: a) The probability of answering "F" to a single true-false question is 1/2. Therefore, the probability of answering "F" to all six questions is (1/2)^6 = 1/64.
b) To find the probability that at least one answer is "T", we can use the complement rule and find the probability that all six answers are "F". The complement rule states that the probability of an event happening is equal to 1 minus the probability of it not happening.
So, the probability that at least one answer is "T" is 1 - (1/64) = 63/64.
Step-by-step explanation:
ANSWER THIS QUESTION ASAP, PLEASEEEEEEE
Write an equation of a line using slope-intercept format goes through the point (4,2) and is parallel to y = 1/2x - 3
Answers
Answer: y=1/2x
Step-by-step explanation:
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 30 km/h. How fast is the distance between the ships changing at 4:00 PM?
Answers
The distance between the ships is increasing at a rate of approximately 98.82 km/h at 4:00 PM.
How fast is the distance between the ships changing at 4:00 PM?From the question, we have the following parameters that can be used in our computation:
Distance, D = 170 km
Rates = 40 km/h and 30 km/h
Let t be the time elapsed from noon to 4:00 PM
So, we have
t = 4
The distance between the ships to their east-west and north-south distances is represented as
d^2 = (D + rate 1 * t)^2 + (rate 2 * t)^2
So, we have
d^2 = (170 + 40t)^2 + (30t)^2
d^2 = 170^2 + 13600t + 1600t^2 + 900t^2
Differentiate with respect to time (t)
2D d' = 5000t + 13600
So, we have
D d' = 2500t + 6800
Substitute 4 for t
D d' = 16800
So, we have
d' = 16800/D
This gives
d' = 16800/170
d' = 98.82
So the distance between the ships is increasing at a rate of approximately 98.82 km/h at 4:00 PM.
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HELP ASAP WILL GIVE BRAINLIEST
Which of the following tables represents a linear relationship that is also proportional?
X-30 3
y-4-20
X-202
У 0 36
x-303
y-4-3-2
O
x-303
y-202
Answers
The table that represents a linear relationship that is also proportional is x-303 and y-202-101-0.
What is values?Values are those principles and beliefs that are important to us and guide our actions, decisions, and behaviors. They are our individual and collective sense of purpose and meaning, and they provide us with a sense of direction and purpose. Values become more important when we are faced with difficult choices or decisions, as it helps us determine what is right and wrong. Values can also be seen as a moral compass, as it helps us determine our actions and behaviors. Values can be influenced by our culture, family, and society, but ultimately, they are our own personal beliefs.
This is an example of a direct proportion, where the ratio of the two values remains the same as they increase or decrease. In this table, the ratio of x to y is 3:2, meaning that for every 3 units of x, there are 2 units of y. This ratio remains the same as the values increase or decrease, so this table represents a linear and proportional relationship.
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Wellington Elementary School bought a printer one year ago for $3,100. Today, the value of the printer has decreased to $2,170 and is expected to continue decreasing each year.
Write an exponential equation in the form y=a(b)x that can model the value of the printer, y, x years after purchase.
Use whole numbers, decimals, or simplified fractions for the values of a and b
Answers
The value of variables are,
⇒ a = 3100
⇒ b = 0.7
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given that;
Wellington Elementary School bought a printer one year ago for $3,100.
And, Today, the value of the printer has decreased to $2,170 and is expected to continue decreasing each year.
Now, An equation in the required exponential form,
A = A₀(1 - r)ˣ
Substituting the values,
A = 3100(1-r)ˣ.
To find the r:
2170 = 3100(1-r)
r = 0.3
So, The equation is,
Aₙ = 3100(1-0.3)ˣ.
y = 3100(0.7)ˣ.
Therefore, The value of variables are,
⇒ a = 3100
⇒ b = 0.7
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Please help meeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
USE PYTHAGEROMN THEROME a^2+b^2=c^2
9^2+12^2=a^2
81+144=a^2
255=a^2
15=a
A packing box is 4 ft deep. One side of the box is 1.5 times longer than the other. The volume of the box is 24 ft3 . What are the dimensions of the box?
Answers
The dimensions of the packing box are 2 × 3 × 4 feet.
How to calculate the volume of a geometric figure?Based on the information provided, we can reasonably infer and logically deduce that the shape of this packing box is a cuboid.
Mathematically, the volume of a cuboid can be calculated by using this following formula:
Volume = L × W × H
Where:
L represents the length of a cuboid.W represents the width of a cuboid.H represents the height of a cuboid.Substituting the given parameters into the volume of a cuboid formula, we have;
24 = L × (1.5L) × 4
24 = 6L²
L² = 24/6
L = √4
Length, L = 2 feet.
Width, = 1.5L = 1.5(2) = 3 feet.
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bob and dan are doctors in a medical practice. dan is being sued for malpractice, but it will not affect bob's assets because they formed a(n) partnership.
Answers
Since the partnership amount between Bob and Dan is a distinct legal entity, Dan's malpractice claim cannot encumber Bob's assets.
Both Bob and Dan are physicians who work at the same hospital. They established a partnership, which is a distinct legal entity, because they are partners in the company. This indicates that the partnership's assets and liabilities are separate from Bob and Dan's personal assets and liabilities. Therefore, since the action is against the company and not Bob personally, it will not have any effect on Bob's assets if Dan is sued for malpractice. Any obligations resulting from the malpractice lawsuit will be covered by the partnership, and Bob's assets are secure. One of the numerous benefits of creating a partnership is this.
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a circle has a radius of 13 ft. find the radian measure of the central angle theta that intercepts an arc of length 10 ft. do not round any intermediate computations, and round your answer to the nearest tenth.
Answers
The required radian measure of the central angle theta is is 0.872 radians or 0.9 radian.
How to find Central angle?To find the radian measure of the central angle that intercepts an arc of length 10 feet, we can use the formula for the length of an arc:
According to question:Arc Length = Central Angle * Radius
where the central angle is measured in radians.
So, we can write:
10 = Theta * 13
Dividing both sides by 13:
10/13 = Theta
Finally, to convert from degrees to radians,
Radian Measure = (Degree Measure) * (Pi / 180)
So, the radian measure of the central angle is:
Theta = (10/13) * (Pi / 180) = 0.872 radians
Thus, required measurement of angle is 0.872 radians or 0.9 radian.
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