Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
Pyramid A
[tex]s = 4[/tex] -- base sides
[tex]V = 36[/tex] -- Volume
Pyramid B
[tex]s = 6[/tex] --- base sides
Required
Determine the volume of pyramid B [Missing from the question]
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
[tex]V = \frac{1}{3} * B * h[/tex]
Where B represents the area of the base equilateral triangle, and it is calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]
[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 4\sqrt 3[/tex]
The height is calculated from:
[tex]V = \frac{1}{3} * B * h[/tex]
This gives:
[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]
Make h the subject
[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]
[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]
[tex]h = \frac{27}{\sqrt 3}[/tex]
To calculate the volume of pyramid B, we make use of:
[tex]V = \frac{1}{3} * B * h[/tex]
Since the heights of both pyramids are the same, we can make use of:
[tex]h = \frac{27}{\sqrt 3}[/tex]
The base area B, is then calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where
[tex]s = 6[/tex]
So:
[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 9\sqrt 3[/tex]
So:
[tex]V = \frac{1}{3} * B * h[/tex]
Where
[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9 * 27[/tex]
[tex]V = 81[/tex]
Answer:
81
Step-by-step explanation:
OPLEAS HELP ILL GIVE BRAUINLIEST
Answer:
The bank is what pays you interest.
Step-by-step explanation:
This is because when you put money in a savings account, the bank is technically borrowing the money and paying you interest in return.
27 MP3s is what percent of 238 MP3s
Answer:
27/238 = n/100
Step-by-step explanation:
What is the solution to this inequality?
4(2x + 2) + 12 > 100
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}
Answer:
3.1
Step-by-step explanation:
Mhanifa please help! Look at the picture attached!!!
Answer:
(17)
Sum of interior angles of a quadrilateral is 360°
110° + 130° + x + x - 3° = 360°2x = 360° - 237°2x = 123°x = 61.5°(18)
Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°
2*90° + 2x + 2(x + 22°) = 720°90° + x + x + 22° = 360°2x = 360° - 112°2x = 248°x = 124°(19)
Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.
Sum of exterior angles is 360°.
x = 360°/5x = 72°What's the constants of 5x + 4 + 7x
the constant / the answer is 4
Answer:
4
Step-by-step explanation:
the constant is a number that never changes
THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS
Answer:
right i hate that so much
Step-by-step explanation:
Answer:
I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...
Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =
Plz help
Answer:27/41+3/41i
Step-by-step explanation:
Just finished this problem
Answer:
guy above correct via A P E X
Step-by-step explanation:
A prism has a volume of 405 cubic inches.
4.5 in.
15 in.
Which is the correct substitution for finding the height of the prism?
Answer:
405 = 15 times 4.5 times h
Step-by-step explanation:
Complete question
A prism has a volume of 405 cubic inches.
A prism has a length of 15 inches, height of h, and width of 4.5 inches
Which is the correct substitution for finding the height of the prism?
A V = l w h. 405 = 15 + 4.5 + h.
B V = l w h = 15 times 4.5 times 405
C V = l w h = 15 times 4.5 times 15
D V = l w h. 405 = 15 times 4.5 times h
Find the diagram attached
Volume of the prism is expressed as;
V = lwh
l is the length
w is the width
h is the height
Given the following
l = 15inches
w = 4.5inches
Required
Expression to calculate the height g
Substitute the given values into the formula
V = lwh
405 = 15 * 4.5 * h
Hence the required option is 405 = 15 times 4.5 times h
Answer:
405 = 15 times 4.5 times h
Step-by-step explanation:
Give it to the other person.
Guys pls help me!!!!!!
Answer:
B
Step-by-step explanation:
If x is any larger than 4 it would be greater than 5, since 2*4-3=5
If x was any smaller than -1 it would be greater than 5, since 2*-1-3=|-5|=5
C hope this help you
Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is
..
A cone has a height of 4 inches and a
circumference at the base of 121 inches.
What is the approximate volume of the cone?
Answer:
Approximately 1553.83
Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?
Answer:
24 girls
Step-by-step explanation:
24:12
2:1
how many units of meters make a kilometer?
What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
find the volume of the cylinder!
Use 3.14 for pi-
round your answer to the tenths place !!
Will mark b if correct:)
A publisher sells
[tex] {10}^{6} [/tex]
copies of a new science fiction book and
[tex] {10}^{3} [/tex]
copies of a new mystery book. How many times as many science fiction books were sold than mystery books?
_ books
Como leer el decimal 0.000000215
Answer:
cero con doscientas quince mil millonésimas
Step-by-step explanation:
A 7-meter by 7-meter square is reduced so that each side is half as long as the original.
a. Describe the new square. (Side length)
b. Write the ratio of the perimeters in the order New:Original.
c. Write the ratio of the areas in the order New:Original.
Answer:
Step-by-step explanation:
7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25Eight students are competing for a blue, red, and yellow ribbon for their agriculture project. How many different ways are there to present those ribbons if the order matters? 56 336 6,720 8,064
Answer:
the answer is B.336
Step-by-step explanation:
got it right on ed
There are 336 different ways are there to present those ribbons if the order matters.
What is the combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.
Different ways are there to present those ribbons if the order matters.
By permutations, we have to calculate the number of different ways to arrange the ribbon is;
[tex]=3 \times 2\times 1\\\\=6[/tex]
Now, we have to calculate the different ways to choose 3 winners from 8 is;
[tex]=8\times 7\times 6\\\\=336[/tex]
Therefore, the correct option is (b), 336 ways are there to present those ribbons if the order matters.
For more details about the combination refer to this link:
brainly.com/question/1216161
#SPJ2
Choose the <,>,= symbols to answer the question
Answer:
1. >
2,<
3.<
4.>
5,>
6.<
7.>
8.>
Step-by-step explanation:
best describes her chances of rolling 12 in one try?
A certain
D Impossible
B likely
e unlikely
*29. a. Multiple Choice which of these Venn diagrama illustrates the
relationship between squares () and rhombuses (R)?
A
D
R
Explain Explain your answer for part a.
90. The
Just a bit help here, heh... -8a^0?
Answer:
-8 is the answer
Step-by-step explanation:
BCos any number or letter raised to the power zero is 1
-8*a⁰
-8*1
-8
pleas help ive been in this exam for 4 hours
An expression is shown below:
10n3 − 15n2 + 20xn2 − 30xn
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
the
Step-by-step explanation:
the comen factor are 10-15+20-30
and Factor the entire expression completely.
are n and 2
I really need help guys plz help me and thank you.
Answer:
It's A
Step-by-step explanation:
............none...........
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
the mean changes a lot, the median doesn't change
Answer:
B
Step-by-step explanation:
the mean is 599.5 and the median is 410
 please help me ahhh im doing 8th grade math with pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.
The hypotenuse is the longest side so 3.5 is our hypotenuse.
Apply formula to see of true.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]
[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]
[tex]15.25 = 12.25 {?}[/tex]
So it isn't a triangle since they aren't equal
Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.
How many square inches of dough are left to make the donut after the hole has been removed?
Answer:
2 inches would be left
Step-by-step explanation:
please help! i'll give brainliest! no one would help me PLEASE.
Answer:
m∠ABC = 42°
Step-by-step explanation:
5x + 13 + 3x + 33 = 70
8x + 46 = 70
8x = 24
x = 3
m∠ABC = 3(3) + 33 = 42
What is the solution for x in the equation? 10x-4.5+3x=12x-1.1
Answer:
[tex] putting \: the \: like \: terms \: together\\ 10x + 3x - 12x = 4.5 - 1.1 \\ x \: = 3.4[/tex]
