An architect-designed an attic space in the shape of a square pyramid. After reviewing the design, he decided to make a second design for an attic space in the shape of an oblique pyramid. He created models of both designs as shown.
Both models were cut horizontally at the same height, finding the cross-sections with the same area. Several other horizontal cross-sections were analyzed and found to have the same area. Both pyramid models also have the same height, a.
Which formula would allow the architect to calculate the volume of his second attic space design?
A.V=s^2a
B.V=1/2s2b
C.V=1/3scb
D.V=1/3s2a
Answers
The formula that would allow the architect to calculate the volume of his second attic space design is V = 1/3s²b. Option D is correct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The formula for the volume of an oblique pyramid is V = 1/3 * base area * height. In this case, the base of the oblique pyramid is the shape of the cross-section, which is a square. So, the formula becomes V = 1/3 * s^2 * height. The given information states that the height is "a", which is the same for both pyramid models.
Therefore, the formula for calculating the volume of the second attic space design becomes V = 1/3 * s² * a.
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Related Questions
Can someone help I don’t understand.
Answers
Answer:
that is reading my friend
Step-by-step explanation:
Answer:
Sidney is shallow but busy. One common boating hazard in this city are the rocks, stingrays, and sharks. Rounf trip fair: $2000 hotel cost: 250 for 1 night and and or 2500 for 10 nights. total travel expense: $4500.
Step-by-step explanation:
Sidney is shallow but busy. One common boating hazard in this city are the rocks, stingrays, and sharks. Rounf trip fair: $2000 hotel cost: 250 for 1 night and and or 2500 for 10 nights. total travel expense: $4500.
After buying some skittle for $19.00. Nathan has $7 left. How much money did Nathan have to begin with
Answers
Answer:
26.00$
Step-by-step explanation:
add the numbers to get the answer
Answer:
Nathan had $26
Step-by-step explanation:
$19.00+$7.00= $26
what is the slope of a line that passes through the points (-3,7) and (7,5)
Answers
Answer:
the answer IS. -1/5 which it could be written as -0.2. NOTE: please consider the negative signs in calculating
What is the equation of the line graphed below
Answers
Answer:
The correct answer is A.
If data is normally distributed and has μ = 90 and o-10, what is the z-score for a data value of 75?
Answers
Answer:
The z-score for this data is -1.5
Step-by-step explanation:
Step 1: For the specified distribution and data point,
μ = 90, σ = 10, and x = 75 (given)
Step 2: We now apply the z-score formula:
z = x − μ / σ
z = 75 - 90 / 10
z = - 15 / 10
z = -1.5
We can take it a step further:
A z-score table shows the percentage of values (usually a decimal figure) to the left of a given z-score on a standard normal distribution
percentage of value = 0.0668
Consider the diagram below. Find the value of w.
Answers
Answer: 63
Step-by-step explanation:
The acute angles of a right triangle are complementary, so [tex]w+27=90 \longrightarrow w=63[/tex]
Correct answer only giving Brainly
Answers
Answer: should be 74?
Step-by-step explanation:
add 140 and 146 and minus that answer by 360??
can anyone please solve this and tell me if it's correct please
Answers
Answer:
Q1. 15
Q2. You're correct
Q3. 3.60
Q4. 2 Correct
Step-by-step explanation:
simplify negative square root of 72
Answers
Explanation: You’ll have to find where the original product can be rooted. 36 & 2. 36 is a perfect square, so it becomes 6.
Then 6 is on the outside, while two is inside.
Don’t forget the negative.
Help me answer this please
Answers
Answer:
1. d
2 c
3 a
4 g
5 h
6 e
7 b
8 f
9 i
10 j
Step-by-step explanation:
The selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420. Find the markup from cost to sale price.
Answers
The markup cost is $84 if the selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420.
What is markup price?Markup pricing is the practice in which the price of products or commodity is determined by taking all the goods together and adds a fraction as a markup.
We have:
The selling price of an item is $720. It is marked down by 30%
[tex]\rm = 720\times \dfrac{30}{100}[/tex]
Markdown = 216
Now subtract it from the selling price:
= 720-216
Sale price = 504
Now,
= 504-420
Markup cost = $84
Thus, the markup cost is $84 if the selling price of an item is $720. It is marked down by 30%, but this sale price is still marked up from the cost of $420.
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This cylindrical fish tank has a height of 38 inches and a diameter of 26 inches. What is the volume of the fish tank? Use 3.14 for . Round to the nearest inch.
Answers
The volume of the fish tank having height 38 inches and diameter 26 inches = 20,165.08 [tex]inch^{3}[/tex]
What is Volume of cylinder?The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.
The height of the fish tank = 38 inches
Diameter = 26 inches
Radius of fish tank = 13 inches
Volume of the fish tank =[tex]\pi* r^{2}*h[/tex]
= 3.14 x 13 x13 x 38
= 3.14 x 169 x 38
= 20,165.08 [tex]inch^{3}[/tex]
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What is the recursive formula of the geometric sequence?
1, 5, 25, 125, 625, ...
Answers
The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1
How to determine recursive formula of a geometric sequence?Given: 1, 5, 25, 125, 625, ...
first term, a = 1Common ratio, r = 25/5= 5
n = number of termsan = a × r^(n - 1)
= 1 × 5^(n - 1)
an = (1) × (5)^(n - 1) for n ≥ 1
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Pls help, will mark brainliest!!
1. Phil is about to take a test that contains matching questions worth 10 points each and essay questions worth 25 points each. He must do at least 3 matching questions, but time restricts doing more than 12. Phil must do at least 4 essays, but time restricts doing more than 15. If no more than 20 questions can be answered, how many of each type should Phil do in order to maximize his score?
a. Define variables and write constraints for this problem.
b. Write an equation for what you want to maximize or minimize.
Answers
Answer:
hope you can understand
Sam works at a factory. He wraps 6 pieces of taffy every minute. How many pieces of taffy will he wrap in 10 minutes?
Answers
Answer:
60
Step-by-step explanation:
Answer: 60
Step-by-step explanation:
Multiply 10 By 6
Ann weighs 259 pounds but is only 5 feet 3 inches tall. Betty is 6 feet tall. How much would you expect Betty to weigh if they have the same height/weight ratio?
A. 226.62 LBS
B. 24 LBS
C. 518.00 LBS
D. 296.00 LBS
I WILL GIVE BRAINLELIST
Answers
Answer:
D. 296.00 LBS
Step-by-step explanation:
We convert both heights to inches.
1 ft = 12 in.
5 ft 3 in = 5 × 12 in. + 3 in. = 63 in.
6 ft = 6 × 12 in. = 72 in.
[tex] \dfrac{63~in.}{259~lb} = \dfrac{72~in.}{x} [/tex]
[tex] \dfrac{63x}{259} = 72~lb [/tex]
[tex] x = \dfrac{259 \times 72~lb}{63} [/tex]
[tex] x = 296~lb [/tex]
Answer: D. 296.00 LBS
HELPP ASAP!! ILL MAKE YOU THE BRAINIEST!
Using the given diagram solve for x
Answers
Answer:
x = 5
Step-by-step explanation:
the angle bisector divides the opposite sides into segments that are proportional to the other 2 sides , that is
[tex]\frac{x}{3}[/tex] = [tex]\frac{10}{6}[/tex] ( cross- multiply )
6x = 30 ( divide both sides by 6 )
x = 5
6. someone pls help
73".
x?
Answers
Answer:
hi po
Step-by-step explanation:
download math scaning po
If p= -1,-1 find the image p under the following rotation 70 degrees counterclockwise
Answers
I know
Step-by-step explanation:
I wish I it but i dont and i think that other person will
Someone please help me with this!!! (30 points)
Answers
Answer:
Step-by-step explanation:
(x-5)(2x+4)
use FOIL , Countess
First, Outside, Inside, Last FOIL
= 2x*x +4*x -5*2x -5*4
= 2[tex]x^{2}[/tex] + 4x -10x -20
= 2[tex]x^{2}[/tex] -6x -20
Ben measured the math table using his linking cube stick to determine how many cubes long the table was. This is an example of using: a. A standard measure to determine the length of an object. b. A non-standard measure to determine the length of an object. c. An expression of Ben’s creativity.
Answers
Answer:
A
Step-by-step explanation:
The given statement is an example of a standard measure to determine the length of an object.
What is the standard measure of length?The standard unit for measurement of length exists meter. Apart from the meter, we have different units such as a meter, kilometer, millimeter, feet, inches, and so on. Meter stands are also named the SI unit of length or base unit of length.
Therefore, the correct answer is option a. A standard measure to determine the length of an object.
To learn more about standard measures
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180 : 60 simplified pls
Answers
Answer: Heyaa!
60 Cant be Simplified so it stays the same.
Step-by-step explanation:
Nothing further can be done with this topic.
Hopefully this helps you !
- Matthew ~
can someone help me with this.........asap
Answers
(You have to use the table to answer the question)
The pythagorean theorem applies to what kind of triangle?.
Answers
Answer:
Right angled triangle
Step-by-step explanation:
Right angled triangle has angle of 90degree
Answer:
Step-by-step explanation:
It applies only to a right angled triangle.
2.Select all the expressions that are equivalent to 6-X.
Equivalent to 6 - x
a. X- 6
b. 6 + -x
c. -x + 6
d. -6 + x
e. 6 + x
Answers
[tex]\textbf{b.)} ~ 6+(-x)\\\\\textbf{c.)} ~ -x+6\\[/tex]
What does 18x12x1000 equal to?
Answers
Because 1000 has 3 zeros, add 3 zeros after 216. Answer is 216,000
First, we calculate 18 x 12
18 x 12 = 216.
To multiply a number by 1000, we add 3 zeros after it.
So, 216 x 1000 = 216000
-> 18 x 12 x 1000 = 216000.
please help me with this...........asap
Answers
Answer: A
Hope this helps
Answer:
I think it's "Yes, each member has an equal chance of being selected."
Step-by-step explanation:
I think it's that one because he want's to survey the tennis players only so it's yes.
Find the angle x on the line. a triangle has 38 at the top and 101 on the outside of it.
Answers
Answer:
x=79°
Step-by-step explanation:
[tex]x + 101 = 180( < \: on \: str \: line = 180) \\ x = 180 - 101 \\ x = 79[/tex]
What does 5 - 4 1/8 equal?
Answers
The diameter of a circle is 26 cm. Find its area to the nearest whole number.
Answers
= pi x 13^2
=pi x 169
= 530.929
= to the nearest whole number 531
Answer:
531
Step-by-step explanation:
The area of a circle can be determined by the equation: A = πr².
The "r-value" represents the radius, which is half of the diameter. Since the diameter is in cm, the area will have the unit cm².
d = diameter r = radius π = 3.14..... A = area
d / 2 = r
26 / 2 = r
13 cm = r
A = πr²
A = π(13)²
A = 169π
A = 530.929.... cm²
A = 531 cm²
As you can see, the radius was determined to be 13 cm. When you plug that value into the area equation, you get 530.9 cm². Rounding to the nearest whole number would bump the 0 to 1, making the final answer 531 cm².