Answers
The volume of the square frustrum, the volume of the pyramid and the volume of the obelisc are 1018791.667 ft³, 22019.625 ft³ and 1040811.292 ft³, respectively.
How to determine the volume of the Washington Monument
In this problem we must determine the volume of a obelisc, which is equal to the sum of the volumes of a square frustrum and a pyramid with a square base. First, sum the volumes of the frustrum and the pyramid:
V' = (1 / 3) · 500 · (55² + 55 · 34.5 + 34.5²)
V' = 1018791.667 ft³
V'' = (1 / 3) · (34.5)² · 55.5
V'' = 22019.625 ft³
Second, calculate the volume of the obelisc:
V = V' + V''
V = 1018791.667 ft³ + 22019.625 ft³
V = 1040811.292 ft³
To learn more on volumes: https://brainly.com/question/1578538
#SPJ1
Related Questions
The inside of a flashlight surrounding the bulb is shaped like a parabola in which the base of the bulb represents the vertex and the top of the bulb represents the focus. Which of the following standard equations represents the parabola in which the base of the bulb is at (1, 5) and top of the bulb is at (1, 1)?
Answers
The equation of the parabola that models the situation is given by:
(x - 1)² = -16(y - 5).
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
(x - h)² = 4p(y - k).
The focus is located at point (h, k + p).
For this problem, to find the values of the parameters h and k, we have that:
The base is the vertex.The base is at (1,5).Hence:
h = 1, k = 5.
And:
(x - 1)² = 4p(y - 5).
For the focus, and subsequently to find parameter p, we have that:
The top is the focus.The top is at (1,1).Hence:
k + p = 1.
5 + p = 1
p = -4.
Then the equation of the parabola that models this situation is given by:
(x - 1)² = 4p(y - 5).
(x - 1)² = 4(-4)(y - 5).
(x - 1)² = -16(y - 5).
More can be learned about the equation of a parabola at https://brainly.com/question/24737967
#SPJ1
Raheem made a down payment of $250.00 at a local store for an HDTV that cost $880.00 with tax included. He arranged to make 8 equal monthly payments to the store to finish paying for the HDTV. Given that he paid no additional fees, how much was Raheem's monthly payment?
Answers
Raheem's monthly payment given that he paid no additional fees is $78.75
How to find Raheem's monthly paymentMonthly payment refers to the amount of money paid by a person every month over a period of time.
Total cost of HDTV = $880.00Down payment = $250.00Number of months to make equal payment = 8Amount remaining after down payment = Total cost of HDTV - Down payment
= $880.00 - $250.00
= $630.00
Amount to pay each month = Amount remaining after down payment / Number of months to make equal payment
= $630.00 / 8
= $78.75
In conclusion, the amount Raheem will pay monthly for a period of 8 months if he paid no additional fees is $78.75
Read more on monthly payment:
https://brainly.com/question/25599836
#SPJ1
Math with a key 6 page 15 task 8 pl. For tomorrow
Answers
The value of the expressions will be:
1. -13.
2. 4
3. -9
4. 27
5. 0
How to calculate the value?It should be noted that this is an expression. In this case:
minus × minus = plus
plus × minus = minus
1. (-15) - (-2)
= -15 + 2
= -13
2. (-3( - (-7)
= -3 + 7
= 4
3. 4 - 13
= -9
4. 5 - (-22)
= 5 + 22
= 27
5. (-15) - (-15)
= -15 + 15.
= 0
Learn more about expressions on:
brainly.com/question/22048677
#SPJ1
Jacob signs up to work for 2 5/8 hours at the school carnival. If each work shift is 3/4 hour, how many shifts will Jacob work
Answers
3 full shifts of 3/4 hour and 1 half shift of 3/4 hour
Shift work is an employment strategy intended to utilize or give service during each of the seven days of the week's full 24 hours. The day is often divided into shifts, predetermined times when various groups of workers carry out their tasks.
Total work hours = 2.625 hours
Each shift = 0.75 hr
Number of shifts = Total work hours / Each shift
= 2.625 / 0.75
= 3.5
Therefore, He worked three full shifts of three hours each and one half-shift of three hours.
Learn more about shift problems here
https://brainly.com/question/12058624
#SPJ9
find the sum and express it in it's lowest terms 3/11 + 2/3=
Answers
Answer:
[tex]\frac{31}{33}[/tex]
Step-by-step explanation:
You need a common denominator to add. The smallest number that is divisible by both 11 and 3 is 33. Rewrite both fractions with a denominator of 33
[tex]\frac{3}{11}[/tex] x [tex]\frac{3}{3}[/tex] [tex]\frac{3}{3}[/tex] is just another name for 1. We are making an equivalent fraction. Multiple 3 x3 for the top and 11 x 3 for the bottom to get:
[tex]\frac{9}{33}[/tex]
Do the same for [tex]\frac{2}{3}[/tex]
[tex]\frac{2}{3}[/tex] x [tex]\frac{11}{11}[/tex] [tex]\frac{11}{11}[/tex] is just another name for 1. We are making an equivalent fraction. Multiple 2 x 11 for the top and 3 x 11 for the bottom to get:
[tex]\frac{22}{33}[/tex]
Now add these two fractions together:
[tex]\frac{9}{33}[/tex] + [tex]\frac{22}{33}[/tex] = [tex]\frac{31}{33}[/tex]
Evaluate.
2/5 exponent 2
Answers
Answer: 4/25
Step-by-step explanation:
[tex](\frac{2}{5}) ^2=\frac{2}{5}\times\frac{2}{5}=\large\boxed{\frac{4}{25} }[/tex]
1. Then a survey of 30 students and it was found that 17 of them have a cat, based on these results, guess how many students out of 300 students in the school have cats?
2. If one out of 12 students in a school shares their locker, how many students share their locker in a school with 456 students?
3. Sabrine runs 2 km in 30 minutes. At this rate, what would you run in 90 minutes? And at what rate did she run each hour?
Answers
Answer:
The answer is 47.5 because in my math exam i got 47.5 in 50
You deposit $300 into a savings account that earns interest annually. the function g(x) = 300(1.04)x can be used to find the amount of money in the savings account, g(x), after x years. what is the range of the function in the context of the problem? â„ [0, [infinity]) [300, [infinity]) [0, 300]
Answers
The constant percent rate of change is of 4%
Using compound interest, it is found that the constant percent rate of change is of 4%.
The formula for an amount of money invested into compound interest is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which:
A(t) is the amount after t years.
A(0) is the initial amount.
r is the constant percent rate of change.
t is the time.
The function is:
[tex]g(x)=300(1.04)^{x}[/tex]
Thus, for the constant percent rate of change:
1+r = 1.04;
r = 0.04;
0.04 × 100% = 4%
The constant percent rate of change is of 4%.
An annual percentage rate is expressed as an hobby charge. It calculates what percentage of the major you will pay every year by using taking things inclusive of month-to-month bills under consideration. APR is also the annual rate of interest paid on investments without accounting for the compounding of interest within that year.
To learn more about percentage rate visit: https://brainly.com/question/24507395
#SPJ4
Answer:
(C) [300, ∞)
Step-by-step explanation:
Got it right on my quiz.
Which is different? Find “both” answers
Find AC+CB .
Find BC-AC .
Find AB .
Find CA+BC .
The "different" answer is {Blank} The "same" answer is {Blank}.
Answers
The different answer is 4 and the same answer is 10.
3. Determine the value of y so that the line
passing through (7, y) and (-1,-3) has a slope of 3/4.
Answers
Answer: y=3
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
3/4=(y2-y)/(x2-x1)
3/4=(-3-y)/(-1-7)
3/4=(-3-y)/(-8)
(3/4=(-3-y)/(-8))*(-1) ==> Negate the equation to remove the negative denominator
-3/4=(-3-y)/8
8*(-3/4)=(-3-y)/8 * 8
8*(-3/4)=(-3-y)/8 * 8
-24/4=-3-y
-3-y=-6
-3+3-y=-6+3
-y=-3
y=3
George was solving the equation (2x-1)(x+3)=4 and he got the solution x=1/2 and x=-3. Jeffrey came along and said, "You made a big mistake! You set each factor equal to zero, but it's not equal to zero, it's equal to 4. So you have to set each factor equal to 4 and then solve." Who is correct? Show George and Jeffrey how to solve this equation. To be sure that you are correct, check your solutions.
Answers
The solution to the system of equation is -7/2 and 1
Solving linear equationAn algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as the addition, subtraction, division and multiplication.
Given the quadratic equation below;
(2x-1)(x+3)=4
Expand
2x^2+6x-x-3 = 4
2x^2+5x-3-4=0
2x^2+5x-7=0
2x^2-2x+7x-7=0
2x(x-1)+7(x-1) = 0
2x+7 = 0 and x - 1 = 0
x = -7/2 and x = 1
Hence the solution to the system of equation is -7/2 and 1
Learn more on system of equation here:https://brainly.com/question/14323743
#SPJ1
lindsay bedford works at the baseball cap shop. she is paid $6.50 per hour plus $0.45 for each cap she embroiders. how many caps must she embroider to earn at least $85 in an 8-hour day? group of answer choices
Answers
Answer:
Step-by-step explanation:
74 caps
a vineyard has 145 acres of chardonnay grapes. a particular soil supplement requires 5.50 g for every square meter of vineyard. how many kilograms of the soil supplement are required for the entire vineyard? (recall that 1 km2
Answers
3230 Kilograms of the soil supplement are required for the entire Vineyard.
Some units that need to be recalled are as follows:
1 km = 1000 m
1 km^2 = 1000000 m^2
1 km^2 = 247 acres
1 kg = 1000 g
Let's tackle the problem now:
A vineyard has 145 acres of Chardonnay grapes.
145 acres = [tex]\frac{145}{247}[/tex]× 1 km^2
145 acres = 145/247 km^2
145 acres ~ 0.587 km^2
A particular soil supplement requires 5.50 grams for every square meter of vineyard
1m^2 → 5.50 gram
1 km^2 = 10^6 →5.50 x 10^6 gram
1 km^2 →5.50 x 10^6 x 10^-3 kg
1 km^2 →5.50 x 10^3 kg
145 acres = 145/247 km^2 →145/247 x 5.50 x 10^3 kg
145 acres → 797500/247 kg
145 acres → 3230 kg
It required 797500/247 kg ~ 3230 kg of the soil supplement for the entire Vineyard.
Learn more about Soil Supplement at:
https://brainly.com/question/1578028
#SPJ4
HURRY PLEASSEEEEE I'M IN CLASS!
What is the distance between -11 and 3? Write an expression then solve.
15 POINTSS
Answers
Answer:
Step-by-step explanation:
because the y points are the same, you'd only have to worry about the x points on the coordinate plane. assuming each unit equals 1 count the distance between points a and b or 11 to 4, which would be 7.
2. If a car ragistration number have four symbols the first two of which are
letters and the remainder digits.how many different registration numbers
can be made?
Oa)58500
Ob)62250
Oc)63375
O d)65515
Answers
The correct option is a)58500.
The number of different registration number possible when the repetition is not allowed is 58500.
What is meant by the term combination?Selections are another name for combinations. Combinations are the selection of items from a given set of items.
We need not aim to arrange anything here. We intend to choose them. The number of distinct x-selections or combinations from a set of n objects is denoted by ⁿCₓ.Now, according to the given question;
The total number of digits mentioned on the number plate is 4.
The first place is to be filled by letter.
We know that there are total 26 letter. So, there are total 26 possible ways in which the place is filled.
Now, the second place is also to be filled by the letter, but now the letter left are 25. Thus, possible fillings is by 25 letter.
The third position is to be filled by number; there are 10 number (0 - 9) by which the position can be filled.
The fourth position is also to be filled by the number; but now the numbers left are 9.
Thus, the total combination is;
= 26×25×10×9
= 58500
Therefore, there are 58500 possible ways in which the number plate can be formed.
To know more about combinations, here
https://brainly.com/question/28065038
#SPJ9
Ed needed to extend the string on his kite. The current string was seven and three fourths feet. He cut a piece of string that measured 8.5 feet and added it to the existing string. What is the new length of the string?
Answers
The new length of the string that Ed have now is 16.25 feet.
What is a fraction ?Fraction is some part of a total quantity.
Ed has a kite and a string of length[tex]7\frac{3}{4}[/tex] feet which is = [tex]\frac{31}{4}[/tex] feet.
He wants to extend the sting length so he added another 8.5 feet which is
= [tex]\frac{17}{2}[/tex] feet.
∴ The total length of the string will become
(31/4) + (17/2) feet.
= (31 + 34)/4 feet.
= 65/4 feet.
= 16.25 feet.
So, after he extended his string it has a length of 16.25 feet.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ1
Answer:
To find the new length of the string, we need to add the length of the new piece of string to the existing length.
The current string length is 7 and 3/4 feet. This can be written as a mixed number, 7 + 3/4 = 7 3/4.
The new piece of string measures 8.5 feet.
To add these two lengths, we can convert the mixed number to an improper fraction and then add the fractions together.
7 3/4 can be converted to an improper fraction as (7 * 4 + 3) / 4 = 31/4.
Now we can add the fractions:
31/4 + 8.5 = (31/4) + (8.5 * 4/4) = 31/4 + 34/4 = 65/4
To simplify the fraction, we can divide the numerator (65) by the denominator (4) to get the whole number part and the remainder.
65 ÷ 4 = 16 remainder 1
So the new length of the string is 16 1/4 feet.
Therefore, the new length of the string is 16 and 1/4 feet.
Step-by-step explanation:
Is ✓225 + ✓196 a rational or irrational number?
Answers
Answer:
yes
Step-by-step explanation:
√225 + √196
15 + 14
29
29 can be written as 29/1 thus 29 is a rational number
the possibility that experimental results are due to chance, or some factor other than the experimental variable, is measured by the blank
Answers
The possibility that experimental results are due to chance, or some factor other than the experimental variable, is measured by the Probability Value.
What is Probability value?Probability value, also called P-value, is defined as:
Under the premise that the null hypothesis is true, the p-value is the likelihood that test findings will be at least as extreme as the result actually observed.
Now,
According to the definition of probability value, the probability that experimental results are due to chance or some factor, can only be measured by probability value as it fits the context most appropriately.To learn more about probability value, refer to the link: https://brainly.com/question/25638875
#SPJ4
Two ways to group 26 students
Answers
You are swimming each 25-yard length of a swimming pool 3 seconds
faster than your personal best. What integer represents your change in
time of your personal best after 200 yards?
Answers
24 seconds faster time of your personal best after 200 yards.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Suppose the number of laps = m
According to the question, each lap of 25 yards is covered 3 seconds faster than the previous one, so the series become
x , x-3 , x-6 , x-9, ............................
25 * m = 200
m = 200/25
m = 8
As m is the number of laps, and each lap is 3 second faster.
So 8 laps will be 8*3 = 24 seconds faster.
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
Find the values of a and b that complete the mapping diagram.
Answers
Value of a and b that completes the mapping diagram will be a=0 and b=1
• Mapping diagram simply means a function that has a special type of relation where the elements of the domain are paired with that of the range.
• Mapping diagram consists of two parallel columns, the first column depicts the domain of the function whereas the second column depicts the range.
• Lines are drawn from first column to second column i.e. from domain to range, to represent the relation between 2 elements.
• Mapping is quite similar to making a flowchart, showing input and output values.
• Point to be noted that every mapping is a relation but every relation is not a mapping.
Value of a and b that completes the mapping diagram will be a=0 and b=1
Learn more about mapping
https://brainly.com/question/2328150
#SPJ9
Answer: A = 0, and B = 1.
Step-by-step explanation: I put 0, and 1, and it was the perfect answer.
3. A focus group was formed to provide opinions for a target market. What type of data is being collected from the focus group?
Answers
Qualitative data is being collected from the focus group.
Given that, a focus group was formed to provide opinions for a target market.
What is a focus group?A group of people assembled to participate in a discussion about a product before it is launched, or to provide feedback on a political campaign, television series, etc.
Focus group used to gather qualitative data and in-depth insights, they enable researchers to collect information on anything from products and services to beliefs and perceptions in order to reveal true customer attitudes and opinions.
Therefore, qualitative data is being collected from the focus group.
To learn more about the focus group visit:
https://brainly.com/question/13024118.
#SPJ1
There are 4,500 pounds of fruit in John's store. 1,200 pounds
of the fruit is apples and half as much is mangoes. The weight
of pears is three times the weight of mangoes. If the rest of the
fruits are grapefruits, what is the total weight of grapefruits?
pounds
Answers
The cost of 5 gallons of gasoline is $20. Write an equation to show the relationship between the cost, c, and the gallons of gasoline, g. Enter your equation AND your work or explanation in the box provided.
Answers
An equation to show the relationship between the cost, c, and the gallons of gasoline, g is; c = 4g
How to interpret a Linear Equation?
The general form of a linear equation in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
We are told that the cost of 5 gallons of gasoline is $20. Thus, the cost of one gallon of gasoline = 20/5 = $4 per gallons
Therefore if he cost is c, and the gallons of gasoline is denoted by g, then the formula to find the cost with these letters is;
c = 4g
Read more about Linear Equations at; https://brainly.com/question/14323743
#SPJ1
There are 26 kids who have either black or red pencils.
15 of them have red
21 of them have black
How many kids have both
Answers
Answer:
this doesn't make sense cuz 15 have red 21 have black and that's 36 kids but the title says there is 21 kids in all ?
Step-by-step explanation:
4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
Please help
Answers
you have 600 feet of fencing to enclose a rectangular plot that borders a river if you do not fence the side along the river
Answers
45,000 square feet is the largest area that can be enclosed.
What is rectangle?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.The largest area will always be a square.
600/4=150 feet on each side but one side is not needed
put this 150 feet not needed with the opposite 150 feet to get 300 feet
you have a rectangle 150 by 300 by 150 by the river
= 150 * 300 = 45,000 square feet
Learn more about rectangle
brainly.com/question/15019502
#SPJ4
The complete question is -
You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and the width of the plot that will maximize the area. What is the largest area that can be enclosed?
Vishal came up with an answer of 41 square units for the area of this square.
How long is each side of the tilted square?
_____ units
Answers
The length of each side of the given tilted square is √41 units.
What is the length of the side of the square?
The formula to find the area of a square is;
Area = x²
Where x is the side length of the square.
Thus;
x = √41
Now, since all sides of a square are always equal, we can easily say that the length of each side of the given tilted square is √41 units.
Thus, our conclusion is that the length of each side of the given tilted square is √41 units.
Read more about side length of square at; https://brainly.com/question/24487155
#SPJ1
Solve for x and write your answer in simplest form.
x-3(2/3x+3)=3(-3/2x+1)-3/2x
Answers
Answer:
x= -6
Step-by-step explanation:
[tex]x-3(\frac{2}{3}x+3)=3(\frac{-3}{2}+1)-\frac{3}{2}\\\\x-2x-9=\frac{-9}{2}+3-\frac{3}{2}\\\\clear fraction\\\\2x-4x-18=-9+6-3\\\\-2x-18=-6\\\\-2x=12\\\\x=-6[/tex]
a sailmaker is designing a mainsail for a newly constructed sailboat. the mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 52° angle at the head with the leach.
Answers
So, Part A:
By employing the sines law,
SinA/10 = SinB/13SinA/10 = Sin50/13A = 36.10C = 180-(180-36.10)C = 93.90So,
Sin36.10 / a = Sin50/ b = Sin93.90/cSin36.10 / 10 = Sin50/ 13 = Sin93.90/cc = Sin93.90 × 13 ÷ Sin50c = 16.93 ftNow, Part B:
Area of the mainsail:
= 1/2 × abSinC= 1/2 × 10 × 13 × Sin93.90= 64.85Therefore, the answers to both parts are:
(A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².(B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.Know more about sines law here:
https://brainly.com/question/27174058
#SPJ4
The complete question is given below:
A sailmaker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach.
Part A: Determine the length of the leach.
Part B: Find the area of the mainsail.
PLS HELP :) 50 POINTS!!!