A clock is in the shape of a square pyramid. The dimensions are shown in the net.
What is the surface area of the clock, including the base?
______________________________________
(reporting wrong/spam answers)
(giving brainliest to the correct answer)
______________________________________
Answers
The square pyramid-shaped clock has a surface area of 144 square inches, including the base.
What is surface area ?Surface area is the total area of the exposed surfaces of a 3-dimensional object, or an object with length, width and height. It is the sum of all of the areas of the faces of the object, including curved surfaces. It is measured in square units, such as square centimeters or square meters. Surface area is important in fields such as engineering and materials science, where it is used to calculate the amount of material needed for a given object.
To calculated to the total area, multiply by the length of the base, b, by the height, h. A = b × h is the equation- for to the area, A, of a square or rectangle area.
Surface area and arc length of curves differ in a number of ways, one of which is that surface area cannot simply be defined as the maximum area of polyhedral shapes that approximate a given smooth surface.
Since each of the triangle has one side as 9,
if we split it down to the middle and should rearrange it,
we get a 3×9 rectangle
that is = 27 inches
there are 4 of for those = 4x27 = 108.
the square in the middle is = 36 inches
36+108= 144
144 square inches
The surface area of the clock is 144 square inches.
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Related Questions
prove that every bounded sequence contain a convergent subsequence
Answers
Answer:
To prove that every bounded sequence contains a convergent subsequence, we will use the Bolzano-Weierstrass theorem.
Bolzano-Weierstrass theorem: Every bounded sequence in Euclidean space has a convergent subsequence.
Proof: Let (a_n) be a bounded sequence in Euclidean space, which means that there exists some M > 0 such that |a_n| <= M for all n. We will use the bisection method to construct a subsequence that converges to some limit L.
Step 1: Divide the interval [-M, M] into two subintervals, [-M, 0] and [0, M]. Since (a_n) is bounded, at least one of these intervals contains infinitely many terms of the sequence. Let's call the interval that contains infinitely many terms I_1.
Step 2: Divide I_1 into two subintervals of equal length, and again, at least one of these subintervals must contain infinitely many terms of the sequence. Let's call the interval that contains infinitely many terms I_2.
Step 3: Repeat this process for each subinterval, dividing it into two subintervals of equal length and choosing the one that contains infinitely many terms of the sequence. We obtain a sequence of nested intervals I_1 ⊃ I_2 ⊃ I_3 ⊃ ... that contain infinitely many terms of the sequence.
Step 4: Since the length of each interval is decreasing and they are nested, the intersection of all the intervals is a single point L. By construction, every term of the sequence (a_n) belongs to one of the intervals I_k, which means that there exists a subsequence (a_nk) that converges to L.
Therefore, every bounded sequence in Euclidean space has a convergent subsequence, as required.
Step-by-step explanation:
try to answer all the questions below!
Answers
Part 1
a. In function notation, we have that R(3) > D(3)
b. In function notation, we have that R(0) - D(0) = 25
Part 2
The drone is 20 feet above the ground when the rocket hit the ground.
Part 3
a. R(t) = D(t) when the graphs intercept at t = 4.75 s
b. It tell us that the drone and rocket are at the same height at that time.
What is a function notation?A function notation is the representation of a statement as a mathematical equation using symbols.
Part 1
a. To write the statement at 3 seconds the toy rocket is higher than the drone in function notation.
Since
R(t) represents height of toy rocket and D(t) represents height of drone.At t = 3, the toy rocket is higher than the drone.
So, in function notation, we have that R(3) > D(3)
b. To write the statement at the start the toy rocket is 25 feet above the drone.
Since R(t) represents height of toy rocket and D(t) represents height of drone.At the start t = 0, and the toy rocket is 25 feet above the drone.
So, in function notation, we have that R(0) - D(0) = 25
Part 2.
To find the height of the drone when the rocket hit the ground,
Since
R(t) represents height of toy rocket and D(t) represents height of drone.We find R(t) = 0 and find the time t, where it intercepts the height of the drone.
So, from the graph R(t) = 0 at t = 5. And at t = 5, D(t) = 20
So, the drone is 20 feet above the ground when the rocket hit the ground.
Part 3.
a. The value of t at which R(t) = D(t) is where the graphs intercept.
The graphs intercept at t = 4.75 s
b. Since R(t) = D(t) at t = 4.75 s, it tell us that the drone and rocket are at the same height at that time.
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PLS HELP , in need to solve by using substitution and with checks
Answers
Answer:
(x, y) = (-1/2, 5/2)
Step-by-step explanation:
To solve this system of equations using substitution, we can use the first equation to express y in terms of x, and then substitute that expression into the second equation to get an equation in terms of x alone.
Starting with the first equation, we have:
y = x + 3
We can now substitute this expression for y into the second equation:
3x + 3y = 6
3x + 3(x + 3) = 6
Simplifying the right-hand side:
3x + 3x + 9 = 6
6x = -3
x = -1/2
Now that we have solved for x, we can substitute this value back into the first equation to find y:
y = x + 3
y = -1/2 + 3
y = 5/2
Therefore, the solution to the system of equations is (x, y) = (-1/2, 5/2).
To check our solution, we can substitute these values back into both equations and verify that they hold true:
y = x + 3
5/2 = -1/2 + 3
5/2 = 5/2
This equation holds true, so the first equation is satisfied by our solution.
3x + 3y = 6
3(-1/2) + 3(5/2) = 6
-3/2 + 15/2 = 6
6 = 6
This equation also holds true, so the second equation is satisfied by our solution as well.
Therefore, we can conclude that our solution is correct.
The equations have two variables, x and y, and we can use substitution to solve for one variable in terms of the other. By substituting the expression for y into the second equation and solving for x, we get the value of x as -1/2. We can then substitute this value back into the first equation to get the value of y, which is 5/2. This means that the solution to the system of equations is (x, y) = (-1/2, 5/2) and we can check that this solution satisfies both equations.
Hope this helps! Sorry if it doesn't. If you need more help, ask me! :]
Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the center of town.
Which graph represents this scenario?
(Hint: The center of town should be the origin, and north is up.)
Answers
The answer is [tex]\sqrt{58} = 7.62[/tex]
So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).
Use the Pythagorean theorem:
[tex]c^2 = a^2 + b^2[/tex]
[tex]a = 3[/tex]
[tex]b = 7[/tex]
[tex]c^2 = 3^2 + 7^2[/tex]
[tex]c^2 = 9 + 49[/tex]
[tex]c^2 = 58[/tex]
[tex]c = \sqrt{58}[/tex]
[tex]c = 7.62[/tex]
Maureen drove for 1.5 hours at an average speed of 62 mph and then for another half hour at an average speed of 24 mph. How far did she drive altogether?
Answers
Answer:
105 mi
Step-by-step explanation:
distance = speed x time
total distance = (62 mi/hr)(1.5 hr) + (24 mi/hr)(0.5 hr) = 105 mi
30 min = 0.50 hr
What are algebraic expressions that are equivalent to 7x-2?
Answers
The algebraic expressions that are equivalent to 7x-2 are -2 + 7x, 14x/2 - 4/2 and 5x + 2x - 2
How to determine the equivalent expressionsThe expression in the question is given as
7x - 2
The above expression is linear
Here are some algebraic expressions that are equivalent to 7x-2:
14x/2 - 4/2
When evaluated, we have
14x/2 - 4/2 = 7x - 2
5x + 2x - 2:
We can break up 7x into 5x and 2x, then combine 5x and 2x to get 7x.
So, we have
5x + 2x - 2 = 7x - 2
Hence, the expressions are 14x/2 - 4/2 and 5x + 2x - 2
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After grading the take-home assignments, Mr. Montes randomly selects 5 take-home
assignments to analyze. He considers the student's responses to the three multiple choice
questions, which are as shown.
Student 1:
(C, A, C)
a. Set 1n Set 2
Student 2:
{C, B, B}
b. Set 2 U Set 3
Student 3:
{C, B, C)
7. The correct responses for the multiple choice questions are, in order, C, B, and A. If Set 1
represents the subset of these students who answered C for number 1, Set 2 represents the subset
of these students who answered B for number 2, and Set 3 represents the subset of students who
answered A for number 3, find each of the following. Explain what each notation means in
context of this scenario.
c. The complement of Set 1
Student 4:
{C, B, A}
Student 5:
{C, A, A}
8. Amisha was too tired to work on the take home assignment Mr. Montes gave her, so she
randomly selected answers without reading any of the questions. Suppose that you wanted to
find the odds that Amisha answered at least 3 of the 5 questions correctly. Do you think you
would use a permutation or a combination? Why?
Answers
Answer:
b
Step-by-step explanation:
my brain
-4x = 64
How should you show your work to isolate the variable and solve the equation?
Answers
Answer:
-16
Step-by-step explanation:
1. multiply the minus sign on both sides now we have 4x=-64
2. divide 4 on both sides
You're done! x=-16
PLEASE HELP SUPER CONFUSED
Answers
Answer:
4.5
Step-by-step explanation:
6+2=8
8/2=4
1.5x4=6
6-1.5=4.5
Part II: According to the tax tables below, how much would Melvin pay in federal
income taxes if filing separately? How much would Sylvia pay if filing separately?
How much would Melvin and Sylvia pay combined if filing separately?
Answers
According to the tax tables below, Melvin would have to pay in federal income taxes if filing separately $5,131 and Sylvia $6,750. The total would be $11,881
How to identify how much tax Melvin and Sylvia have to pay?To identify how much Melvin and Sylvia have to pay in taxes, we must look carefully at the table. In this, the different incomes are classified and on the right side are shown how much the tax is depending on the condition of the citizen. These options are: single, married filling jointly, married filling separately and head of a household.
In accordance with the above, we must look at which number coincides in the row of married filling separately with the value of the income of each one of them. According to the above, Melvin has to pay 5,131 in taxes while Sylvia has to pay 6,750.
Note: This question is incomplete. Here is the complete information:
Melvin and Sylvia are married with no children, and they're filing their federal income tax return. Melvin had a gross income of $35,750 last year, while Sylvia had a gross income of $41,700.
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F’ G’ H’ is a dilation of F G H with the center of dilation at the origin
What is the scale factor of the dilation?
Answers
Perform the indicated operations 9√64 3 − 2√125
Answers
Answer: We can simplify the given expression as follows:
9√64 - 2√125
Since √64 = 8, we can substitute to get:
9(8) - 2√125
Since √125 = √(25 × 5) = √25 × √5 = 5√5, we can substitute again to get:
9(8) - 2(5√5)
Simplifying further:
72 - 10√5
Therefore, the expression 9√64 3 − 2√125 simplifies to 72 - 10√5.
Step-by-step explanation:
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6
. In an earlier study, the population proportion was estimated to be 0.41
.
How large a sample would be required in order to estimate the fraction of people who black out at 6
or more Gs at the 95%
confidence level with an error of at most 0.04
? Round your answer up to the next integer.
Answers
n = (Z^2 * p * (1-p)) / E^2
where:
- n is the sample size
- Z is the Z-score for the desired confidence level (1.96 for 95% confidence level)
- p is the estimated population proportion
- E is the desired margin of error (0.04 in this case)
Substituting the given values into the formula, we get:
n = (1.96^2 * 0.41 * (1-0.41)) / 0.04^2
n = 601.67
Rounding up to the nearest integer, we get:
n = 602
Therefore, a sample size of at least 602 is required to estimate the fraction of people who black out at 6 or more Gs with an error of at most 0.04 and a 95% confidence level.
Marley's car gets 25 miles per gallon, and they expect to drive 1350 miles for their next vacation. If the average price of gasoline is $2.549, how much should they budget for gas for the trip?
A. $63.73
B. $54
C. $137.65
D. $337.50
Answers
The number of gallons of gas needed is equal to the total distance of the trip divided by the car's gas mileage:
1350 miles ÷ 25 miles per gallon = 54 gallons of gas
Now that we know how many gallons of gas Marley will need, we can calculate the total cost of the gas by multiplying the number of gallons by the price per gallon:
54 gallons x $2.549 per gallon = $137.65
Therefore, Marley should budget $137.65 for gas for the trip. The answer is C. $137.65.
what is the value of X when 7=3x_2
Answers
Answer:
7+2=3x-2+2
9/3=3x/3
3=x
Graciela needs to design a can with radius 2
inches and surface area as close to 100
square inches as possible. What is the height of the can? (Use π=3.14
, and round your answer to the nearest inch.)
Answers
The height of the can should be approximately 7 inches to have a surface area as close to 100 square inches as possible.
What is cylinder?
A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases of the same size and shape, and a curved lateral surface connecting the bases.
The formula for the surface area of a cylinder is:
SA = 2πr² + 2πrhwhere r is the radius of the base, h is the height, and π is approximately 3.14.
In this case, the radius is given as 2 inches, and we want to find the height that will give us a surface area as close to 100 square inches as possible. So we need to solve for h in the equation:
100 = 2π(2)² + 2π(2)h
Simplifying this equation:
100 = 8π + 4πh
92 = 4πh
h = 23/π
h ≈ 7.32
Rounding this answer to the nearest inch, we get:
h ≈ 7 inches
Therefore, the height of the can should be approximately 7 inches to have a surface area as close to 100 square inches as possible.
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answer for -10x+18=-3(5x+6)+5x
Answers
Answer:
-10x+18=-15x-18+5x
-10x+18=-10x-18
18=-18
Since the equation is inconsistent and has no solution, there is no value of x that would make it true.
Step-by-step explanation:
Find the Area.
12 ft
12 ft
Answers
Answer:
144ft^2
Step-by-step explanation:
Answer:
144^2 feet
Step-by-step explanation:
To find the area you would multiply length x width for your answer. I hope this helps!
Julia made a die for a game. It had 5 faces, labeled 1-5. Because of the shape of the die, it was biased in favor of rolling a 3. We do not know the amount of bias. She experimented to estimate how likely it was for a 3 to be rolled and her results are in the above table. Using her experimental results, find the best estimate of the probability of rolling a 3.
Answers
From the table, we see that Julia rolled the die 100 times, and the number of times she rolled a 3 was 45.
The best estimate of the probability of rolling a 3 can be found by dividing the number of times a 3 was rolled by the total number of rolls:
P(rolling a 3) = Number of times 3 was rolled / Total number of rolls
P(rolling a 3) = 45 / 100
P(rolling a 3) = 0.45 or 45%
Therefore, based on Julia's experimental results, the best estimate of the probability of rolling a 3 on her biased die is 0.45 or 45%.
a section of an exam contains four true false questions. A completed exam paper is selected at random, and four answers are recorded.
the probability that all answers are False?
the probability that exactly three or four answers is false?
the probability that at lastt answer is true is ?
Answers
We can use the binοmial distributiοn tο mοdel this situatiοn, where each questiοn is a Bernοulli trial with a prοbability οf success (getting the cοrrect answer) οf 0.5.
A prοbability simple definitiοn is what?A prοbability is a numerical representatiοn οf the likelihοοd οr chance that a specific event will take place. Bοth prοpοrtiοns ranging frοm 0 tο 1 and percentages ranging frοm 0% tο 100% can be used tο describe prοbabilities.
Let X be the number οf False answers in the cοmpleted exam paper.
Prοbability that all answers are False:
[tex]P(X = 4) = (0.5)^4 = 0.0625[/tex]
Prοbability that exactly three οr fοur answers are False:
P(X = 3 οr X = 4) = P(X = 3) + P(X = 4)
[tex]= 4C3(0.5)^3(0.5)^1 + (0.5)^4[/tex]
= 0.25 + 0.0625
= 0.3125
Prοbability that at least οne answer is True (which is the cοmplement οf the event that all answers are False):
P(at least οne True) = 1 - P(all False) = 1 - 0.0625 = 0.9375
Prοbability that the last answer is True:
This prοbability can be calculated using cοnditiοnal prοbability, where we find the prοbability that the last answer is True given that we knοw that at least οne answer is True:
P(last answer is True | at least οne True) = P(last answer is True and at least οne True) / P(at least οne True)
P(last answer is True and at least οne True) = P(last answer is True) = 0.5
P(at least οne True) = 0.9375 (calculated in part 3)
Sο, P(last answer is True | at least οne True) = 0.5 / 0.9375 = 0.5333 (rοunded tο fοur decimal places).
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A 6 foot 2 man casts a shadow of 5 feet. What size shadow will a 5
foot 5 lady cast?
Answers
The 5 foot 5 tall lady will cast a shadow of approximately 4.4 ft.
What size shadow will the 5 foot 5 lady cast?Given that, a 6 foot 2 man casts a shadow of 5 feet. Also, a lady is 5 foot 5 and we find the shadow she casted.
We can solve this problem by setting up a proportion:
The height and shadow length are proportional, so we can write:
6 feet 2 inches : 5 feet = 5 feet 5 inches : x
where x is the length of the shadow cast by the lady.
To solve for x, we can cross-multiply:
(6 feet 2 inches) × x = (5 feet) × (5 feet 5 inches)
To simplify the calculation, we can convert all the lengths from feets to inches:
Note: 1 ft = 12 in
(74 inches) × x = (60 inches) × (65 inches)
Now we can solve for x:
x = (60 inches) × (65 inches) / (74 inches)
x = 3900/74
x = 52.70 inches
Convert back to ft
x = 4.4 ft
Therefore, the lady will cast a shadow of approximately 4.4 ft.
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A bag contains several marbles 7 of which are blue 18 are yellow and 12 are green
If 3 marbles are chosen without replacement what is the probability that they are all yellow
Answers
Answer:
The answer would be 8.1% (8.108% if you need the exact percentage.)
Step-by-step explanation:
All you would need to do is add 7 + 18 + 12 which = 37, and divide 3/37, which in percentage that gives you 8.1%. (8.108% if you need exact percentage.)
An item is marked down to 9/10 of its original value and then further marked down to 7/10 of that. What portion of the value of item remains
Answers
Answer:
I think the answer is 63%
Step-by-step explanation:
9/10 * 7/10 = 63/100 = 63%
(I am not fully sure.)
PLEASEEEE HELP!!!!
Enter your answer and show all the steps that’s you used to solve this problem in the space provided.
How do the graphs of y = 1/x and y = 5/x+6 compare?
Answers
The transformations that compares the functions y = 1/x and y = 5/(x + 6) are
The second function is shifted 6 units to the left and Dilated by 5 unitsWhat are transformations?
Transformations are mathematical operations that are performed to change the shape or value of a graph, function or image.
Since we have the functions
y = 1/x and y = 5/(x + 6),We want to see how the graphs of
y = 1/x and y = 5/x+6 compare?We proceed as folows.
Looking at the functions
y = 1/x and y = 5/(x + 6),We compare the transformations and see that
The second graph is shifted 6 units to the left since it has x + 6 units denominatorAlso, since we have 5 in the numerator, it is dilated by 5 units.So, the functions compare by
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1. The sum of the angles of a triangle is 180. Find the three angles of the triangle if one
angle is four times the smallest angle and the third angle is 36 greater than the smallest
angle.
Answers
Answer: they small angel is 12
Step-by-step explanation:because the third angle is 36 and 12 times three is 36
x.cot a. tan (90°+a) = tan (90°+a). cot (180°-a) + x.sec (90°+a).
Answers
First, we can use the identity cot(a) = 1/tan(a) to rewrite the expression as:
x * (1/tan(a)) * tan(90°+a)
Next, we can use the identity tan(90°+a) = -cot(a) to substitute for the tangent term:
x * (1/tan(a)) * (-cot(a))
Simplifying, we get:
-x
Now, let's simplify the right-hand side of the equation:
tan (90°+a). cot (180°-a) + x.sec (90°+a)
Using the identity tan(90°+a) = -cot(a) and cot(180°-a) = -cot(a), we can substitute for the tangent and cotangent terms:
(-cot(a)) * (-cot(a)) + x * (1/cos(a))
Simplifying this expression, we get:
cot^2(a) + x/sec(a)
Now, we can use the identity sec(a) = 1/cos(a) to substitute for secant:
cot^2(a) + x * cos(a)
Finally, we can use the identity cot^2(a) + 1 = csc^2(a) to further simplify the expression:
csc^2(a) - 1 + x * cos(a)
Substituting for the identity csc(a) = 1/sin(a), we get:
(1/sin^2(a)) - 1 + x * cos(a)
Combining like terms, we get:
(1 - sin^2(a))/sin^2(a) + x * cos(a)
Using the identity sin^2(a) + cos^2(a) = 1 to substitute for sin^2(a), we get:
cos^2(a)/sin^2(a) + x*cos(a)
Using the identity cot(a) = cos(a)/sin(a) to substitute for the cotangent term, we get:
cot^2(a) + x*cot(a)
Now, we can use the identity cot(a) = 1/tan(a) to simplify this expression further:
1/tan^2(a) + x/tan(a)
Combining the fractions, we get:
(x+tan^3(a))/tan^2(a)
Now, we can use the identity tan^2(a) + 1 = sec^2(a) to substitute for the tangent term:
(x+sec^3(a))/sec^2(a)
Finally, we can use the identity sec(a) = 1/cos(a) to substitute for secant:
x*cos(a) + cos^3(a)
This expression is equivalent to the right-hand side of the original equation, which we derived from the left-hand side. Therefore, the original equation is true for all values of a and x.
please help me.............
Answers
The Tοtal number οf tickets tο play will be 15.
What is inequality?Mathematical expressiοns with inequalities οn bοth sides are knοwn as inequalities. In an inequality, we cοmpare twο values as οppοsed tο equatiοns. In between, the equal sign is changed tο a less than (οr less than οr equal tο), greater than (οr greater than οr equal tο), οr nοt equal tο sign.
At a schοοl fair, there are different games tο play that each require 5 tickets tο play.
Jοrdan wants a bag οf pοpcοrn that requires 26 tickets and tο use the rest οf the tickets tο play games.
Jοrdan has 101 tickets.
Fοr tickets tο play will be 101-26 = 75
Sο the Tοtal number οf tickets tο play will be 75/5 = 15.
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A game Is played using one die. If the die is rolled and shows 3, the player wins $15. M the die shows any number other than 3, the player wins nothing. Complete parts (a) through (0)
a. If there is a charge of $3 to play the game, what is the game's expected value?
Answers
Answer:
0
Step-by-step explanation:
Expected Value = (Probability of winning) x (Amount won) + (Probability of losing) x (Amount lost)
In this case, the probability of winning is 1/6 (since there is only one way to roll a 3 out of six possible outcomes), and the probability of losing is 5/6 (since there are five other outcomes that do not result in a win).
The amount won is $15, and the amount lost (i.e., the cost of playing the game) is $3.
Therefore, the expected value is:
Expected Value = (1/6) x $15 + (5/6) x (-$3)
Expected Value = $2.50 - $2.50
Expected Value = $0
Can I please get some help???
Answers
Answer: B) 2
Step-by-step explanation:
In the image, we see a box and whisker plot. The middle line represents the median. Looking at the numbers on the side, and the placement of the middle line, we can see that the median in this situation is 2.
If the angle -270° rotates 180° counter-clockwise, what is the new measurement of the co-terminal angle?
___°
Answers
Starting with the angle of -270°, adding 360° gives us 90° (which is a coterminal angle with -270°).
If we rotate 180° counter-clockwise from 90°, we end up at the angle of 270°. Therefore, the new measurement of the coterminal angle is 270°.
I hope this helps :)