What is the volume of the pyramid? 2.4 cm3 3.6 cm3 4.8 cm3 7.2 cm3
Answers
Answer:
C 4.8cm^3
Step-by-step explanation:
The volume of the pyramid is 4.8 cm³.
Given that a pyramid with base side length is 2 cm, we need to find the volume of the pyramid,
Volume of a pyramid = 1/3 × base area × height
So,
We have ∠ABC = 45°, in right triangle ΔACB,
Since ∠ABC = 45° therefore, ∠BAC = 45°,
So, AC = BC = 3.6 cm,
So, the volume = 1/3 × 2² × 3.6
= 4 × 1.2
= 4.8
Hence the volume of the pyramid is 4.8 cm³.
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Related Questions
A school found that the number of students buying lunch from the cafeteria had declined. The school wants to revise its current lunch menu.
They asked parents and students to suggest new meals.
Which method of selecting new meals will produce an unbiased result?
Answers
all the suggested meals will be shuffled into one stack and every 10th suggestion will be used
What is the image of (-4,-4) after a dilation by a scale factor of 3 centered at the
origin?
Answers
Answer:
(-12, -12)
Step-by-step explanation:
Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.
-4×3=-12
Hope this helps!!
The length of the sides of a triangle is given. Determine
whether or not the triangle is right, acute, or obtuse.
6, 8, 10
a Right
b Acute
Obtuse
Answers
Answer:
The triangle is a right triangle
Step-by-step explanation:
For the triangle to be right, Pythagoras’ theorem must be obeyed
According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides
Now, from the given side lengths, the highest value is 10;
squaring this, we have 10^2 = 100
Squaring and adding the other values, we have
6^2 + 8^2 = 36 + 64 = 100
This mean the values are equal and the Pythagoras’ theorem is obeyed
Hence, we can conclude that the triangle with the given side lengths is a right triangle
2х - 7y = 14
Find the x and y- intercepts then graph them.
Answers
Medjjf
Determine which translations would map Figure K into Figure L.
Answers
Answer:
Right; 5 Units
Down; 3 Units
Step-by-step explanation:
Self explanitory, please correct me if I made a typo, mistake in answer, etc.
Answer:
right 5 units and down 3
Step-by-step explanation:
just take a point and count how many spaces it goes moving it to its corresponding point on the new image
BRAINIEST TO WHOEVER RIGHT
Answers
Answer:
11
Step-by-step explanation:
Diego predicts that his basketball team has a 23 probability of winning each of their next 7 games. Select two ways Diego could accurately simulate the number of games his team will win.
Answers
Answer:
(c) and (e)
Step-by-step explanation:
Given
[tex]Pr = \frac{2}{3}[/tex]
Required
Which 2 options can be used to simulate the given probability.
The two options are (c) and (e)
The proof is as follows;
Option (c)
We have:
[tex]Rolls = 7[/tex]
A cube has 6 faces. So:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S)=6[/tex]
The probability of getting ones, twos, threes, and fours is:
[tex]Pr = \frac{n(1,2,3,4)}{n(S)}[/tex]
In: [tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(1,2,3,4) = 4[/tex]
So:
[tex]Pr = \frac{4}{6}[/tex]
Simplify
[tex]Pr = \frac{2}{3}[/tex]
Option (e)
We have:
[tex]White = 10[/tex]
[tex]Red = 5[/tex]
[tex]Count = 7[/tex]
Record the probability of white.
This is calculated as:
[tex]Pr = \frac{White}{Total}[/tex]
[tex]Pr = \frac{White}{White + Red}[/tex]
[tex]Pr = \frac{10}{10+5}[/tex]
[tex]Pr = \frac{10}{15}[/tex]
Simplify
[tex]Pr = \frac{2}{3}[/tex]
What type of association (positive, negative, no) is shown between the price of a ticket and concert attendance?
Answers
Answer:
positive
Step-by-step explanation:
The volume V of a cone varies jointly as the area of the base B and the height
h. V = 32 cm, when B = 16 cm2 and h = 6 cm. Identify h when
V = 60 cm3 and B = 20 cm2.
Answers
Answer:
h = 9 cm.
Step-by-step explanation:
V = kBh where k is the constant of variation.
From the given info:
32 = k*16*6 = 96k
So k = 32/96 = 1/3.
So we have the equation of variation:
V = 1/3Bh
When V = 60 B = 20, so:
60 = 1/3 20h
20h = 60 * 3 = 180
h = 180 /20 = 9.
What is the advantage of valence number?
Answers
Answer:
The presence of many unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take participate in the formation of chemical bonds as per the valence bond theory.
Circles A, B, and C overlap. The overlap of circles B and C is labeled x.
Which statements are true about x? Select three options.
x ∈ B ⋃ C
x ∈ B ∩ C
x ∈ A ⋃ C
x ∈ A ∩ C
x ∈ A
Answers
Given:
Circles A, B, and C overlap.
The overlap of circles B and C is labeled x.
To find:
The three correct statements about x.
Solution:
It is given that the overlap of circles B and C is labeled x. It means x represent the common elements of B and C.
So, x belongs to the intersection and union of B and C.
[tex]x\in B\cup C[/tex]
[tex]x\in B\cap C[/tex]
Since x is the element of C, therefore it is also the element of A union C.
[tex]x\in A\cup C[/tex]
The overlap of circles B and C is labeled x. It means [tex]x\notin A[/tex]. So,
[tex]x\notin A\cap C[/tex].
Therefore, the correct options are A, B and C.
Answer:
A, B and C.
Step-by-step explanation:
edge
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 10 1/2 inches by 10 1/2 inches. Is he correct?
Answers
Answer:
he isn't
Step-by-step explanation:
The wood has dimensions of 18 x 12
If He wants the tray to have a height of 2, subtract 2 x 2 from both the length and the width
18 - 4 = 14
12 - 4 = 8
the highest possible dimensions of the tray can be 14 x 8
10 1/2 x 10 1/2 is greater than 14 x 8. so he is not correct
(b) A train of length 120 m is travelling at 144km/h.
It passes under a bridge of width 20m.
Find the time taken for the whole train to pass under the bridge.
Give your answer in seconds.
Answers
Answer:
3 seconds.
Step-by-step explanation:
First calculate the time for each 20m length to pass through the bridge.
The train takes 3600 seconds to travel 144,000 m
So it takes 3600/144000 seconds to travel 1m.
and 3600 * 20 / 144000 seconds to travel 20 m.
As the train is 120 m long and there are 6 * 20 m in 120m the answer is:
3600 * 20 * 6 / 144000 seconds.
= 3 seconds.
the dot plot shows the number of hours that 40 students studied each week make a statement that describes the overall pattern of the data in the plot. support your statement by describing clusters,gaps and/or peaks
Answers
Answer:
ther is no dot plot
Step-by-step explanation:
Refer to the prism at the right. If all the
dimensions of the prism doubled, would the volume double? Explain your
reasoning
Pls help this is due tomorrow
Answers
Help!!! I will give brainiest if correct!
Answers
Answer:
she would need 7 ounces
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Boubacar sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
120 visitors purchased no costume.
235 visitors purchased exactly one costume.
3 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
p[p
Answer: 34%
Step-by-step explanation:
(Trust me)
Please simplify. IF U TRY TO SCAM ME WITH A LINK OR A NON ANSWER, I REPORT!!
Answers
Answer:
1. 192 or 12^4 13. 4c^7 d^13
2. 8x^6 14. 16f^10 g^22
3. x^8 15. x^4y^4
4. 4x^5 16. xy
5. 6^2 17. x^12/64y^9
6. 1/x^3 18. x^8/256y^16
7. 1 19. 1/y^7
8. -1 20. 1/49
9. y^12 21. x^5
10. x^8y^4 22. 16
11. 3x^3 23. x^4
12. 2x^3 24. 1/x^6
25. x^2
26. 1/j^3
Hope this helps! :)
do this and thank you and have a good day
Answers
now its easy to calculate volume as its length x width x height which will be 5x5x12 which is 300.
you can also just do 60x5 which will give the same answer i just wanted to explain the process.
same goes for B but with different numbers.
hope this helped
Solving Similar Triangles. pls help i dunno this:(
Answers
1.y=16 x=8 ||| Because the 12 and 9 are the same side, i just decided to go from there, 9 is 75% of 12, so y and x would be
2.d=24 ||| the smaller triangle once again is 75% of the bigger one.
3.x=6 y=60 ||| the smaller triangle is 1/3 of the bigger one.
4. DE=8 AC=20 ||| The smaller triangle is half of the bigger one.
1. 6 is 75% of 8 and 12 is 75% of 16.
2. 18 is 75% of 24
3. 18/3=6 and 6 is 1/3 of 18; 20 is 1/3 of 60
4. 10 is 1/2 of 20; 1/2 of 16 is 8
Hope this helps.
Which of the following is a polynomial?
O A. x^2 - 1
O B. x^-y+ 2
O c. (x^6 - 2)/(x^4 + 3)
O D. x^4+ x^4 + 16
Answers
Answer:
I think it's A...
Step-by-step explanation:
It's been a little while since I've done polynomials, binomials, monomials, etc., so I think I'm right, but sorry if I'm wrong...
HELP ME NOWWWWWW. thanks.
Answers
Answer:
LETTER C. PO 40 ang sagot
The function y = 400(0.75)* models the amount in milligrams of pain reliever, y. remaining in a patient's bloodstream x hours after the initial dose. How much pain reliever in milligrams remains after 3 hours? No link please
Answers
Step-by-step explanation:
y = 400 × 0.75
y = 300
300 milligrams = 0.75 hours
x = 3 hours
3(300) = 0.75x
900 = 0.75x
x = 1200
The area of a square is 49 square inches or less. Which set describes the domain for s, the
length of one side of the square?
Answers
Step-by-step explanation:
Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.
[tex]0 \leqslant x \leqslant 7[/tex]
30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?
Answers
Explanation: Multiply 30%, or 0.3, by 90. That will find your answer. Hope this helps!
Answer:
27
Step-by-step explanation:
Multiply 90 by 0.3 and you have your answer
p is an odd number.
Explain why p^2 +1 is always even number
Answers
Answer:
every odd number that squares up and add 2 will give an even answer
Answer:
see explanation
Step-by-step explanation:
Given that p is an odd number , then
p² is always an odd number
Adding 1 to an odd number gives an even number.
So p² + 1 is always even for p odd
Gabe needs to cut an 8-foot piece of plywood into 16 equivalent pieces for a fence.
Answers
Answer:
0.5 ft or 6 in
Step-by-step explanation:
Simply do 8/16, each piece is half a foot (6 inches) long
Answer:
6 inches.
Step-by-step explanation:
First, we know that 8 feet is equal to 96 inches.
96/16 = 6.
So 6 inches per fence post.
Hope this helps!
PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss
Answers
Answer:
Complementary angles sum to 90°
x + 73° = 90°x = 90° - 73°x = 17°Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answers
Answer:
In the first one answer is r²
In second one answer is 3
Step-by-step explanation:
Yes it is Algebra with different powers
In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r
Like terms are added:
6r^4- 2r^4 + 4r + 3r +____ = 4r^4 + r2+ 7r
4r^4+7r +___ = 4r^4 + r^2 + 7r
Therefore ___ = r^2
In second one:
(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10
Open the brackets
__ -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10
Add like terms
__ -14x -5x^2 + 7= -5x^2 +14x +10
Therefore
___ + 7 = 10
___ = 10 -7 = 3
HELP PLSSSSSSS
NO LINKS
Answers
Answer:
Is there anything else to this like a description or a sentence?
Step-by-step explanation:
Sorry I need more than this
