Answers
=======================================================
Explanation
Part (a)
The smaller pyramid up top is the result of slicing at the halfway point.
This leads to the ratio 1:2 when comparing small side to larger side.
Cube both parts of that ratio to end up with 1:8 as the volume ratio.
This means if the smaller pyramid was say 1 cubic foot in volume, then the larger pyramid has a volume of 8 cubic feet.
-------------------------
Part (b)
Consider the case that,
volume of smaller pyramid = 1 cubic feetvolume of larger pyramid = 8 cubic feetThe volume of the truncated base is 8-1 = 7 cubic feet.
The ratio of the smaller pyramid to the truncated base is 1:7
Related Questions
The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answer as a decimal in the box.
Answers
Answer:
y = 17.5
Step-by-step explanation:
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x = k or y = kx
Find the value of the constant k
we have:
y = 7 and x = 2
substitute
7/2 = k
k = 3.5
Thus, the equation is equal to
y = 3.5x
Find the value of y when x = 5
substitute in the equation
y = 3.5(5) = 17.5
Or we can put as:
y = 7 * 5 /2
Calculate the product or quotient: y = 35/2
Answer = 17.5
[RevyBreeze]
Answer:
y = 17.5
Step-by-step explanation:
If y is proportional to x, then:
[tex]y = kx[/tex] (for some constant k)
Given y = 7 when x = 2:
⇒ 7 = 2k
⇒ k = 3.5
Therefore, [tex]y=3.5x[/tex]
So when x = 5:
⇒ y = 3.5 x 5
⇒ y = 17.5
HELP PLEASE
What percent of 600 is 3 3/4?
Enter your percent as a fraction in simplest form by filling in the boxes.
Answers
Answer:
0.625%
Step-by-step explanation:
3 3/4 = 3.75
3.75 ÷ 600 × 100 = 0.625
Iris paid $120.00 for a winter coat. She saved
25% off the original price.
What was the original price of the coat?
Answers
Answer:
$160, or answer A
Step-by-step explanation:
If 120 is 25% of the original, or 0.25 of the original(We will call it x), then 120 is 0.75x.
Form an equation like this: 0.75x=120
Turn this into fractions: 3/4x=120/1.
Divide by 3/4 on both sides.
x = 120/1 * 4/3
Simplify to get: 40/1 * 4/1
Multiply to get: 160
The original price of the coat is $160.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given. Iris paid $120 for a winter coat.
She saved 25% off the original price .
We have 4 options $160, $150, $145 and $30.
Now let $160 is the original price,
25% of 160 = 160 x 25 / 100
= $40
Therefore, the original price of the coat is $160.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Bob is saving $250 to buy a new pair of AirPods. He already has $50. Bob is going to save $20 each week until he has enough money to purchase the AirPods.
Answers
3(4n-1)-3
facterD
( form
Answers
Answer: thats hard
Step-by-step explanation:
Answer:
6(2n-1)
explanation:
→ 3(4n-1)-3
→ 4n(3)-1(3)-3
→ 12n-3-3
→ 12n-6
→ 6(2n-1)
I NEED HELP ASAP!!! EXPLAIN YOUR ANSWER to PLEASE!!!
Answers
Answer:
Group 1
Group 2
Groups 1 and 2 together
Group 4
Group 4
Step-by-step explanation:
We are looking for the number of children than can ride safely with 4 adults.
Since 4 adults are already seated, A = 4.
We substitute 4 for A in the inequality and solve for C.
150A + 100C + 200 ≤ 1500
150(4) + 100C + 200 ≤ 1500
600 + 100C + 200 ≤ 1500
100C + 800 ≤ 1500
100C ≤ 700
C ≤ 7
Up to 7 children can ride.
Answer:
Group 1
Group 2
Groups 1 and 2 together
Group 4
Group 4
WILL GIVE BRAINLIEST
Consider this equation and inequality. "-x/3+7=4" and "-x/3+7<4" (a)Solve the equation and inequality and show your work.
Answers
Answer: equation: x=9 inequality: x>9
Step-by-step explanation: screenshots
witch product is less than
[tex] \frac{5}{8} [/tex]
Answers
Answer:
Everything that is lower than 5/8.Step-by-step explanation:
It's pretty obvious.
You need to add 2 fractions up.
If it's lower than 5/8, then you are correct.
emily bought 4 pounds of grapes for $20 .find the unit price A)$5 B)15 c)1 D)20
Answers
Answer:
(a)5
Step-by-step explanation:
$20 ÷4 pounds of grapes = $5
I need help with 5and6
Answers
Answer:
5) [tex]x^2+151x-264[/tex]
6)[tex]-30a^3-27a^2b+30ab^2+18b^3[/tex]
Step-by-step explanation:
what’s the slope of this
Answers
simplify this expression
Answers
1. In this figure, the unshaded region represents a painting and the shaded region represents a frame around the painting. All angles are night angles 6 in. 10 in 9.5 in 13.5 in (a) What is the area of the painting? Show your work (b) What is the area of the frame? Show your work Answer:
Answers
The area of a shape is the amount of space on the shape
The area of the painting is 60 square inchesThe area of the frame is 60.25 square inchesHow to determine the area of the paintingFrom the question, the dimension of the painting is 6 inches by 10 inches
So, the area of the painting is:
Area = 6 * 10
Area = 60 square inches
Hence, the area of the painting is 60 square inches
How to determine the area of the frameFrom the question, the dimension of the picture is 9.5 inches by 13.5 inches
So, the area of the picture is:
Area = 9.5 * 13.5
Area = 128.25 square inches
The area of the frame is the difference between the area of the picture and the painting.
So, we have:
Frame = 128.25 - 60
Frame = 68.25
Hence, the area of the frame is 60.25 square inches
Read more about areas at:
https://brainly.com/question/24487155
Jess walked from her home to her friend’s house and arrived at 4.15. If it took Jess 25 minutes to walk this distance, then what time did she leave home?
Select one:
a. 3.55
b. 3.45
c. 3.50
d. 3.05
Answers
Have good day
4. Find m2ABD.
B
(9x -22)
it
(6x - 7) -
A
D
С
Answers
Answer:
23°
Step-by-step explanation:
There is not enough information given in this diagram to provide values for the marked angles. In order to solve the problem, we must assume some relation between those angles.
If they are equal, then ...
9x -22 = 6x -7
3x = 15 . . . . . . . . . . add 22-6x to both sides
x = 5 . . . . . . . . divide both sides by 3
m∠ABD = (9x -22)° = (9·5 -22)° = 23°
i need help with this
Answers
Answer:
it should be d.
Step-by-step explanation:
volume of a cone = π x r² x h
volume = π x 4.5² x 3.5
volume = π x 70.825
volume = 222.66 cubic metres
Robyn saves $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each.
Which answer gives the best estimate for the number of books Robyn can buy?
88
2121
192192
200
Answers
Answer:
21 books
Step-by-step explanation:
Subtract $32.50 from her total savings:
$204 - $32.50 = $171.50
Divide the remaining money by the cost for each book from the sale:
$171.50 / $8.15 = 21.0429448
Round:
21 books
can a triangle have sides with lengths 2cm, 5cm and 3cm?
Answers
Explanation: When you add the lesser sides they must be at least equal to or greater than the largest side. 2+3 is 5, so this is possible.
HELP!!!!!!!!!!!!!! I'LL GIVE 20 POINTS!!!!!!!!
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x) + 4
A.
The graph of function f is shifted up 4 units.
B.
The graph of function f is compressed vertically toward the x-axis by a factor of 4.
C.
The graph of function f is stretched vertically away from the x-axis by a factor of 4.
D.
The graph of function f is shifted down 4 units.
Answers
Answer:
A
Step-by-step explanation:
The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units
What is the exact value of cot
co (3 pie/4)?
Answers
Answer:
cot (3ocπ/4)⠀⠀
The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled 8 x squared, the height is labeled 4 x squared 15, and the base is labeled 8 x 10. Which expression represents the total perimeter of the pool edge? 12x2 15 20x2 25 12x2 8x 25 24x2 16x 50.
Answers
Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
How to calculate perimeter of a triangular figure?Perimeter of a triangle = Sum of lengths of all its 3 sides.
For the given case, we have:
Length of first side(hypotenuse) = [tex]8x^2[/tex] units
Height = [tex]4x^2 + 15[/tex] units
Base is of length [tex]8x + 10[/tex]
Thus, its perimeter is calculated as:
Perimeter of a triangle = Sum of lengths of all its 3 sides.
Perimeter = [tex]8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25[/tex] units
Perimeter = [tex]12x^2 + 8x + 25[/tex] units
Thus,
The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
Learn more about perimeter here:
https://brainly.com/question/10466285
Answer:
12x2 + 8x + 25
Step-by-step explanation:
i said so
Factor the expression. 40a + 45
Answers
Answer:
5(8a + 9)
Step-by-step explanation:
40 and 45 can both be divided by 5, so this is a common factor.
-> 40 divided by 5 is 8
[] It has a variable, so it will be 8a
-> 45 divided by 5 is 9
Our final answer is 5(8a + 9)
-> To check we can multiply it out, 5 * 8a is 40a, 5 * 9 = 45
-> This works
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
40a+45
40a+45 = 5(8a+9)
Answer: 5(8a+9)
the difference between 9 and a number
Answers
Answer:
9-4=5
Step-by-step explanation:
Answer:
x=9-y or 9-y=x
Step-by-step explanation:
difference means subtract so nine minus a number equals this number
list a example of a irrational number like any irrational number
Answers
The number pi is a famous irrational number since we cannot represent it as a fraction of two integers. Pi is approximately equal to 3.14159. The decimal digits go on forever without any pattern.
Another irrational number would be [tex]\sqrt{2}[/tex] which is approximately equal to 1.4142; the decimal digits for this number also go on forever without any pattern.
How do I solve 6x-15+52=11x-12?
Answers
Answer:
x = 49/5 (fraction)
Step-by-step explanation:
Add and subtract the numbers: -15 + 52 =37
6x+37=11x-12
Subtract 37 on both sides:
6x+37-37=11x-12-37
Simplify:
6x=11x-49
Subtract 11x from both sides:
6x-11x=11x-49-11x
Simplify:
-5x=-49
Divide both sides by -5
-5x/-5=-49/-5
= 49/5
Which of these are polygons?
Answers
Answer:
B , C , D are polygons.3)
Which describes the slope of the line in the graph?
A)
zero
B)
positive
negative
D)
undefined
Answers
Answer:
C. Negative
Step-by-step explanation:
The line is not horizontal or vertical, therefore we the slope cannot be zero or undefined.
This leaves us with either positive or negative...
A positive slope goes from the lower left corner (Quadrant 3) of the graph up to the upper right (Quadrant 1).
A negative slope goes from the upper left corner (Quadrant 2) of the graph down to the lower right (Quadrant 4).
Since this line goes from the upper left corner to the lower right, it has a negative slope
What are the zeros of the polynomial function?
f(x)=x2+9x−70
Enter your answers in the boxes.
Answers
X-5=0
The zeroes are. -14 and 5
PLSS HELP
Using the above rule, extract the square roots of the given quadratic equation.
(x + 5)2 = 18
x + 6 = IV
x + 6 = 13
Answers
Step-by-step explanation:
[tex] \sqrt{(x + 6) ^{2} } = \sqrt{18} \\ x + 6 = + - \sqrt{18} \\ x + 6 = + - \sqrt[3]{2} [/tex]
Guys I’m sorry for so many questions I’m not smart
But anyway can y’all help me plz
Answers
Answer:
Its B
Step-by-step explanation:
The answer is B
pls give brainlest thanks