Answers
The volume of the square frustrum is 1018791.667 cubic feet, the volume of the pyramid is 22019.625 cubic feet and the volume of the Washington Monument is 1040811.292 cubic feet.
What is the volume of the Washington Monument?
The Washington Monument is an obelisc and the volume of the obelisc is the sum of the volumes of the square frustrum and the pyramid, that is:
V = V' + V'' (1)
V' = (1 / 3) · (a² + a · b + b²) · h (2)
V'' = (1 / 3) · b² · h' (3)
Where:
V' - Volume of the square frustrum, in cubic feet.V'' - Volume of the pyramid, in cubic feet.a - Length of the side of the lower base, in feet.b - Length of the side of the upper base, in feet. h - Height of the square frustrum, in feet.h' - Height of the pyramid, in feet.If we know that a = 55 ft, b = 34.5 ft, h = 500 ft and h' = 55.5 ft, then the volume of the Washington monumement is:
V' = (1 / 3) · (55² + 55 · 34.5 + 34.5²) · 500
V' = 1018791.667 ft³
V'' = (1 / 3) · 34.5² · 55.5
V'' = 22019.625 ft³
V = 1040811.292 ft³
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Related Questions
struggling to figure out problem D on this, please help!
Answers
Answer:
See answers below
Step-by-step explanation:
This type o problem is known as a Diamond problem
From the diamonds on the top row, it is clear that the top cell of the diamond is the product of the two side numbers and the bottom is the sum of these numbers.
I will use top for the top cell and bottom for the bottom cell, left for and right respectively for left and right cells
a. Top = 2 x 5 = 10; Bottom = 2 + 5 = 7
b. Top = -2 x -1 = 2; Bottom = -2 - 1 = -3
c. Top = Left x Right = 8
Bottom = Left + Right = 6. The only two numbers that satisfy this equation are Left = 4 and Right = 2 since 4 x 2 = 8 and
4 +2 = 6
Answer to c: Left = 4, Right = 2
d We have Let unknown left be L and unknown bottom be B
We have L x (1/2) = 4 for the product
[tex]\rm{\frac{L}{2} = 4}\\\\L = 2 x 4 = 8[/tex]
We have Bottom = Left + Right = 8 + 1/2 = [tex]8\frac{1}{2}[/tex] = 17/2
Answer to d. : Left = 8, Bottom = 17/2
e. Similar to c.
Top = Left x Right = 12;
Bottom = Left + Right = -7
12 can be 2 x 6 or 3 x 4 (same as 4 x 3) or 12 x 1. 4 and 3 are the obvious choices and since they add up to - 7 they both have to be negative
So Left = -3, Right = -4
Note: (-3) x (-4) results in +12
which of the following steps were applied to ABCD to obtain A'B'C'D'?
Answers
There is a translation of 3 units to the right and 4 units upwards to translate ABCD into A'B'C'D', then the correct option is C.
"Shifted 3 units right and 4 units up"
which of the following steps were applied to ABCD to obtain A'B'C'D'?
Let's just compare one of the vertices to identify the translation applied.
We can see that the coordinates of vertice A are (2, 3).
While the coordinates of the vertice A' are (5, 7)
If we take the difference between these two coordinate pairs, we will et
A' - A = (5, 7) - (2, 3)
Remember that this difference is computed component to component, so we have:
(5, 7) - (2, 3) = (5 - 2, 7 - 3) = (3, 4)
From this we can conclude that we hade a translation of 3 units to the right and 4 units upwards to translate ABCD into A'B'C'D', then the correct option is C.
"Shifted 3 units right and 4 units up"
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Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. He says his grandmother’s age is, at most, 3 years less than 3 times his own age.
Jane writes this system of inequalities to represent k, Kyle’s age, and g, Kyle’s grandmother’s age.
Inequality 1: g > 80
Inequality 2: g ≤ 3k – 3
Which inequality did Jane write incorrectly, and how could it be corrected?
Inequality 1 is incorrect; it should be g ≤ 80.
Inequality 1 is incorrect; it should be g ≥ 80.
Inequality 2 is incorrect; it should be g < 3k – 3.
Inequality 2 is incorrect; it should be g ≥ 3k – 3.
Answers
Answer:
Inequality 1 is incorrect; it should be g ≤ 80.
Step-by-step explanation:
Kyle's grandmother is not more than 80. This means that she is either equal to 80 or less than 80.
This gives us the inequality: g ≤ 80
32. XY, given X(7, 2) and Y(2, 0)
Domain
Range
Answers
Based on the coordinates of XY which are X(7, 2) and Y(2, 0), the domain and range are:
Domain : (2, 7)Range: (0, 2)What are domain and range?The domain of a line refers to all the points on that line that the value of the x-axis can take.
In line XY, the only two x-axis values are 7 and 2. This means that the domain is therefore (2, 7).
The range of a line on the other hand, are all the points that the value on the y-axis can take.
The range in this case is therefore (0, 2).
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Which of these choices are square roots of 100? Check all that apply.
A -100^1/2
B -50
C 10
D -10
E 50
F 100^1/2
Answers
Answer:
C. 10
Step-by-step explanation:
It is very easy to find the square root of a number that is a perfect square. For example, 100 is a perfect square, 100 = 10 × 10. So, 10 is the square root of 100 and this can be expressed as √100 = 10. The square root of any number, in general, can be found by using any of the four methods given below:
Repeated Subtraction MethodPrime Factorization MethodEstimation and Approximation MethodLong Division MethodThe measure of an angle is 81.1°. What is the measure of its supplementary angle?
Answers
Answer: 98.9°
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180 degrees.
=180-81.1
=98.9°
-10
-8
-6
-4 -2
10
00
8
9
4
54
2
-2
-4
-6
op
-10
2
4
9
8
00
10
Answers
10/586=582824448
55359=5244+88556-89595
=8388256
1. What is the conclusion of the following conditional?
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
The number is odd.
The sum of the digits of the number is divisible by 3.
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
The number is divisible by 3.
Answers
Answer:
The number is divisible by 3.
Step-by-step explanation:
The conclusion is what a conditional statement ends with.
Which of the following equations has nosolution? B= -B+ 2 B + 2= b + 2 B+ b = 2 b + 2 = b-2
Answers
The equation which has no solution among the answer choices as given in the task content is; b + 2 = b-2.
Which equation has no solution?It follows from the task content that the equation which has no solution is to identified.
On this note, the equation in which case, the variable diminishes and the equality does not hold represents that which has no solution.
Hence, the required equation is; b + 2 = b-2.
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Describe in words where cube root of 35 would be plotted on a number line.
Between 3 and 4, but closer to 3
Between 3 and 4, but closer to 4
Between 2 and 3, but closer to 2
Between 2 and 3, but closer to 3
plss help fast
Answers
The cube root of 35 would be plotted on a number line A. Between 3 and 4, but closer to 3.
How to illustrate the information?It should be noted that cube root of a number simply means a number that you can multiply three times that will give the original number.
In this case, the cube root of 35 will be 3.2.
This means that it's closer to 3. It's also between 3 andmd 4.
Therefore, the cube root of 35 would be plotted on a number line between 3 and 4, but closer to 3.
In conclusion, the correct option is A.
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PLEASE I NEED HELP TO PASS
Answers
Source: I just know
Answer:
x = 17
Step-by-step explanation
the two interior angles add up to the exterior.
2[-3^(2)-(5)/(4-9)]+3(4-2^(3))
Answers
Answer:
-28
Step-by-step explanation:
(b) Find the equation of the straight line which passes through 81 +88 (i) the point (3, 2) and makes an intercept on the x-axis is twice as long as that on the y-axis. (ii) the point (-1, 3) whose intercept on the y-axis is thrice that on x-axis.
Answers
3x+y=0 and x+2y=7
i)
a= intercept on x axis
b= intercept on y axis
from the question
a=2b
x/2b+ y/b=1
x+2y=2b
since it passes through the point (3,2)
then 3+4=2b
7/2=b
x+2y=7 putting the value of b
ii) given b =3a
then x/a+ y/ 3a =1
3x+y=3a
it passes through ( -1,3) then
-3+3=3a
a=0
3x+y=0
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Please help
------------------------------------------
Answers
Answer:
(-5,5) and (0,-0.1) , solutions to the equation
(5,5) and (10,5) ...not solution to the inequality
Step-by-step explanation:
5,5) and (0,-0.1) ,,,they are solutions to the inequality since they lie in the required region (unshaded region)
(5,5) and (10,5) ,,,they lie in the shaded region which is the required region hence not among the required points.
HELP ASAP!!!
Solve for m in the following equation.
4m/3= 8
m= 10
m= 6
m= 2
m= 96
You buy three more than twice as many pounds of apples as bananas. If you bought seven pounds of apples, how many pounds of bananas did you buy?
What is the correct equation and solution for this problem?
3p – 2 = 7; p = 3 pounds
2p – 3 = 7; p = 5 pounds
3p + 2 = 7; p = 3 pounds
2p + 3 = 7; p = 2 pounds
Thank you!!
Answers
I hope you get it right… please like :)
Answer:
1. STEPS FOR SOLVING LINEAR EQUATION
[tex] \frac{4m}{3} = 8[/tex]
Multiply both sides by 3.
4m=8×3
Multiply 8 and 3 to get 24.
4m=24
Divide both sides by 4.
[tex]m = \frac{24}{4} [/tex]
Divide 24 by 4 to get 6.
m=6
2. 2p+3=7; p=2 pounds
Find the value of g(−6) if g(x)=−2x+3
Answers
Answer: g(-6)=15
Step-by-step explanation:
(x)= -6G(-6)=-2(-6)+3G(-6)=12+3G(-6)=15Hope this could help you
The quotient of a number and negative six plus eight is twenty-four
Answers
Answer:
the number is ..let X
X/-6+8=24X/2=24criss cross the number and we get 48A cyclist rides at a constant speed of 15 miles per hour. At this speed about how long would it take the cyclist to ride from garden city to dodge city, Kansas
Answers
The time taken by the cyclist to ride from the garden city to dodge city, Kansas is 3.5 miles/hour.
Given that, a cyclist rides at a constant speed of 15 miles per hour.
We need to find at this speed how long would it take the cyclist to ride from the garden city to dodge city, Kansas.
What is the formula to find time with distance and speed?Calculate speed, distance or time using the formula d = st, distance equals speed times time.
Now, the distance between garden city to dodge city, Kansas 52.3 miles via US-50 E.
So, time taken=52.3/15
=3.48≈3.5 miles/hour
Therefore, the time taken by the cyclist to ride from garden city to dodge city, Kansas is 3.5 miles/hour.
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18:3:9 in it's simplest form
Answers
All numbers have a common factor of 3, so divide each number by 3
You go to a restuarant with 4 friends. You all agree that you will pay the bill and everyone will contribute equally to pay for their part. The total bill was $62.65. Write an equation and solve it to find out how much each person will pay.
a. 5x = 62.65 Each will pay $15.66
b. 4x=62.65, Each will pay $15.66
c. 5x=62.65, Each will pay $12.53.
d. 4x=62.65 Each will pay $12.53
Answers
The required equation for sharing the bills equally is 5x = 62.65 and each will pay $12.53
How many friends went to the restaurant altogether?
The fact that the person went with 4 friends and paid for every means that he made payments for the 5 of them and he is expected to get refund from 4 persons, in other words, in order to share bills equally, the 5 friends would have to contribute equally, which means we would divided total bills by the number of friends, which is 5 not 4 because the first person would also his part of the bills
Let x be the amount paid person, the total amount paid would be x paid person multiplied by the number of friends, 5
total amount paid=5*x
total amount paid =5x
the amount paid in dollars is $62.65
5x=62.65
x=62.65/5
x=$12.53
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What is 9+9?
Easy points and brainliest if 2 ppl answer
Answers
Answer:
18
Step-by-step explanation:
An expression is shown.
4 · (−12)
Select all equivalent expressions.
• -7-6
• -12.4
• -12-(-4)
• 8-(-6)
• −3 - 16
Answers
Expression: 4*(-12)= -48
-7-6= -13
Equivalent: -12*4= -48
8-(-6)= 14
-3-16= -19
how many calories would you consume if you were to eat a large size pizza (16 inches) by yourself? give your answer to the nearest hundred.
Answers
So nearest hundred of calories of pizza is 3384.
As it is given that its an pizza of 16 inches .
A Calorie is unit of heat used to indicate the amount of energy foods produce in the human body that is equal to 1000 calories.
Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80.
So as we all know pizza of 16 inches contains 3384.00 calories
And its been asked to the nearest hundred so divide it by 100And we get 3384 calorie. So a 16 inch pizza contains 3384 calories.
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luther drew a scale drawing of an italian restaurant. he used the scale 1 millimeter : 6 meters. in the drawing, the restaurant's kitchen is 3 millimeters wide. what is the width of the actual kitchen?
Answers
The actual kitchen measures 18m in width.
• In mathematics, the unitary method is used to find the necessary value by first determining the value of a single unit and then multiplying the number by the single unit value.
• For example, if a car travels 60 kilometers on three litres of gasoline, we can calculate the number of kilometers traveled on one litre of gasoline using the unitary method.
We are given that Luther drew a scale drawing of an Italian restaurant. He used a scale on which 1 millimetre equals 6 meters. We need to find the width of the kitchen if in the drawing it is 3 mm wide.
So,
1mm = 6m
3 mm =?
3 mm = 6*3
3 mm = 18 m
The actual width of the kitchen is 18 m.
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Which of the following represents (picture)
Answers
The interval that represents the inequality 1 < x ≤ 6 is given by:
B. (1,6].
What is the standard interval notation?The standard interval notation of an interval of lower bound a and upper bound b is given by:
[a,b].
The inequality notation is:
a ≤ x ≤ b
The set builder notation is:
{x | a ≤ x ≤ b}.
In this problem, we are given the inequality 1 ≤ x ≤ 6, hence a = 1 and b = 6, and open at x = 1 and closed at x = 6, hence the interval is:
B. (1,6].
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which is equivalent to the following expression 4p^2+5.5m+2.5p^2-m+3m
Answers
The equivalent expression of 4p^2 + 5.5m + 2.5p^2 - m + 3m is 6.5p^2 + 7.5m
How to determine the equivalent expression?The expression is given as
4p^2+5.5m+2.5p^2-m+3m
Rewrite properly as
4p^2 + 5.5m + 2.5p^2 - m + 3m
Collect the like terms in the above equation
4p^2 + 5.5m + 2.5p^2 - m + 3m = 4p^2 + 2.5p^2 + 5.5m - m + 3m
Evaluate the like terms in the above equation
4p^2 + 5.5m + 2.5p^2 - m + 3m = 6.5p^2 + 7.5m
Hence, the equivalent expression of 4p^2 + 5.5m + 2.5p^2 - m + 3m is 6.5p^2 + 7.5m
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What is the value of x 2,8,9,7.6,x the mean is 6
Answers
The value of X is 3.4
Disclaimer:
We will consider arithmetic mean in this case as which mean is not mentioned.
The total number of terms are 5
thus, arithmetic mean= 6
6= (2+8+9+7.6+x)/5
30 = 26.6+x
x=30-26.6=3.4
Thus the value of X is 3.4
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Main Answer:x= 3.4
Concept and definitions should be there
The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.
To calculate it:
• add up all the numbers,
• then divide by how many numbers there are.
Given data
the value of x 2,8,9,7.6,x the mean is 6
Solving part
As we know that
mean =(sum of the terms)/(Number of terms)
By substituting the values, we get
6=(2+8+9+7.6+x)/5
30= x+26.6
x= 30-26.6
x= 3.4
Final Answer: Thusx= 3.4 is the correct answer.
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San Diego's family took a road trip to Mount Rushmore San Diego fell asleep 44% of the way through the trip if the total length of the trip was 400 miles how many miles have they traveled when he fell asleep
Answers
The number of miles that they traveled when San Diego fell asleep will be 176 miles.
How to illustrate the information?It should be noted that from the information, San Diego's family took a road trip to Mount Rushmore and San Diego fell asleep 44% of the way through the trip.
In this case, the total length of the trip was 400 miles.
Therefore, the number of miles that they traveled when he fell asleep will be:
= Percentage × Total miles
= 44% × 400
= 0.44 × 400
= 176 mile
Therefore, the number of miles that they traveled when San Diego fell asleep will be 176 miles.
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using a systematic sample guarantees that members of each group within a population will be sampled.
Answers
False
• Systematic Sampling is a probability sampling method where people or researchers select members of the population in a regular interval.
• For example, by selecting every 17th person on the list of the population. If the population is in the random order, this can imitate the benefits of random sampling.
• Systematic sampling can help in minimizing biased samples and poor survey results. If there is a low risk for manipulation of data .
• Systematic sampling introduces certain arbitrary parameters in the data. This can cause overrepresentation or underrepresentation of patterns
In systematic sampling, members from a large population are selected according to a random starting and a fixed periodic interval.
Only stratified sampling, where the population is divided into several data, guarantees the member of each group within a population will be sampled.
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an equation that is true for all values of the variable is called an
Answers
Answer:
an identity............
Answer:
An identity
Step-by-step explanation:
An identity is an equation, which is true for all values of the variables in the equation.