What is the difference in the Volume Formula for a prism and a pyramid. *

Answers

Answer 1

Answer:the volume of a prism is the area of the base times the height of the prism. The volume of the pyramid has the same base area and height as the prism, but with less volume than the prism. The volume of the pyramid is one third the volume of the prism.

Step-by-step explanation:

i hope this helps


Related Questions

Plz plz plz plz plz plz plz plzplzplz help me plz thx thx plz plz help plz plz thx plz plz help

Answers

Answer:

97 pencils

Step-by-step explanation:

4074 (pencils) divided by 42 (sixth graders) is exactly 97 pencils.

Answer:

Each class received 97 pencils.

Step-by-step explanation:

4074 divided by 42 is equal to 97.

Determine the line of reflection that maps the pre-image segment AB to the image segment A’B’.


x = 0
y = 0
y = x
It cannot be determined.

Answers

Answer:

B) y=0

Step-by-step explanation:

Option B is the correct answer.

We need to determine the line of reflection that maps the pre-image segment AB to the image segment A'B'.

What is the reflection transformation?

In a reflection transformation, all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection.

In the given figure we can see that line segment AB is reflected on the y=0 and transformed into A'B'.

Therefore, option B is the correct answer.

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A movie theater charges $5 for an adult ticket and $2 for a child's ticket. One Saturday, the theater sold 785 tickets for $3280. How many child's tickets and adult's tickets were sold that Saturday?

Answers

Answer:

5x + 2y = 3280

x+y = 785

x = 785 - y

5*(785 - y) + 2y = 3280

3925 - 5y + 2y = 3280

3925 - 3280 - 3y = 0

645 = 3y

y=645/3=215

x=785-215 = 570

Adults - 570 tickets, childs - 215 tickets.

570*5 + 215*2 = 3280

570 adult and 215 child and 3,280 in total

if i could get brainliest that would be great

Answer: 215 child tickets, 570 adult tickets.

Step-by-step explanation:

a right triangle with integer sides has area equal to 30. What is the length of its hypotenuse.

Answers

We have been given that a right triangle with integer sides has area equal to 30. We are asked to find the length of hypotenuse of right triangle.

We know that area of triangle is half the product of its base length and height.

Since our given triangle is a right triangle, so its base and height will be legs of right triangle.

[tex]\frac{1}{2}\cdot\text{Base}\times \text{Height}=\text{Area}[/tex]

[tex]\frac{1}{2}\cdot\text{Base}\times \text{Height}=30[/tex]

[tex]\frac{1}{2}\cdot 2\cdot\text{Base}\times \text{Height}=30\cdot 2[/tex]

[tex]\text{Base}\times \text{Height}=60[/tex]

This means that product of two bases is 60.

Now we need to find two multiples of 60 such that they are make a right triangle.

Multiples of 60:

1, 60

2, 30

3, 20

4, 15

5, 12

6, 10

We know that (5, 12 and 13) is a Pythagoras triplet.

[tex]5^2+12^2=13^2[/tex]

[tex]25+144=169[/tex]

[tex]169=169[/tex]

Therefore, the hypotenuse of right triangle is 13 units.

In a class of 25 students, 8 students have heights less than 65 inches and 10 students have heights of 69 inches or more. Find the probabilities described.

1. P(less than or equal to 65 inches and greater than or equal to 69 inches).
2. P(Greater than or equal to 65 inches.)
3. P(greater than or equal to 65 inches and less than or equal to 69 inches.)

Answers

Answer:

It should be 1.

Step-by-step explanation:

It stating that in a bunch of 25 students, only 8 are at least 65 inches or shorter, while the other ten, are at least 69 inches or taller, meaning there is nothing in between.

The probabilities described  P(less than or equal to 65 inches and greater than or equal to 69 inches).

We have given that,

In a class of 25 students, 8 students have heights less than 65 inches and 10 students have heights of 69 inches or more.

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

It states that in a bunch of 25 students, only 8 are at least 65 inches or shorter, while the other ten, are at least 69 inches or taller, meaning there is nothing in between.

Therefore the probabilities described  P(less than or equal to 65 inches and greater than or equal to 69 inches).

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What is the value of the expression if q=6 and r=4. WILL MARK BRAINLIEST. Please include an explanation.

Answers

Answer:

66

Step-by-step explanation:

54 + 12 =66

find the area of the triangle whose vertices are x(3,2) y(-1,0)and z(1,-12)

Answers

Answer:

The triangle whose vertices are x(3,2) y(-1,0)and z(1,-12).

=> xy = sqrt(4^2 + 2^2) = 4.472

=> xz = sqrt(2^2 + 14^2) = 14.142

=> yz = sqrt(2^2 + 12^2) = 12.166

=> Perimeter/2 = P = (xy + yz + xz)/2 = (4.472 + 14.142 + 12.166)/2 = 15.39

=> Applying Heron's formula, the area of triangle would be:

A = sqrt(P*(P-xy)*(P-xz)*(P-yz))

   = sqrt(15.39*(15.39 - 4.472)*(15.39 - 14.142 )*(15.39 - 12.166))

   = 26.001

   = ~26

Hope this helps!

:)


SHOW YOUR WORK.
Angle BAC is a right angle. Find
the measure of angle CAD.
Solution:​

Answers

Answer:

26 I guess

Step-by-step explanation:

90 - 64 = 26

am I wrong?

Find an ordered pair , x y that is a solution to the equation. 3x-y=1

Answers

Answer:

2,5

Step-by-step explanation:

2,5 is just one of the many solutions to this problem. you can just take a random number for x, for example 2. your equation will look like this 3(2)-y=1. now you just solve for y. 3x2=6. 6-1=5. so y=5.

Final answer:

To find the solution to the equation 3x - y = 1, we can choose a value for x and solve for y. By substituting x = 2, we find that the ordered pair (x, y) = (2, 5) is a solution.

Explanation:

To find an ordered pair (x, y) that is a solution to the equation 3x - y = 1, we first need to choose a value for x and then solve for y. Let's choose x = 2:

Substitute x = 2 into the equation: 3(2) - y = 1Simplify: 6 - y = 1Isolate y by subtracting 6 from both sides: -y = 1 - 6Simplify: -y = -5Divide by -1 to solve for y: y = 5

Therefore, the ordered pair (x, y) = (2, 5) is a solution to the equation 3x - y = 1.

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PLEASE HELP ME FAST BRAINLIEST TO FIRST PERSON TO ANSWER CORRECTLY WITH EXPLONATION!!
What is the result of multiplying 4/3

and its reciprocal?
A) −1
B) 6/8
C) 1
D) 8/6

Answers

Answer:

The correct answer is C) 8/6

Hope This will help you and have a great day

Step-by-step explanation:

Please give me Brainiest A moderator took all mine away

Answer:

= 1

Step-by-step explanation:

4/3 x 3/4

= 1/1

= 1

Adriana has 12 paid sick days and 3 paid personal days
to use throughout the year. When she takes a day off,
she must use either a sick day or a personal day to get
paid for that day.
How many days with pay can Adriana take off?

Answers

Answer: 15

Step-by-step explanation: just add The two numbers together

Answer:

15 days a year

Step-by-step explanation:

How many 5-letter “words” can be formed from the letters of the word FORMULATED, if each will have the vowels at the two ends on the “word”?

Answers

Final answer:

To calculate the number of 5-letter "words" with vowels on the ends from 'FORMULATED', you multiply the number of ways to choose the two vowels (4 x 3) by the number of ways to choose the three different consonants (6P3; 6 x 5 x 4), resulting in 1440 different possible "words."

Explanation:

To determine the number of 5-letter "words" that can be formed from the letters of the word FORMULATED with vowels at both ends, we need to consider two parts: the selection of vowels and the selection of consonants. The word FORMULATED contains four vowels (O, U, A, E) and six consonants (F, R, M, L, T, D).

First, we choose the vowels for the ends. There are 4 vowels, which means we can select the first vowel in 4 ways. After selecting the first vowel, we can still choose the second vowel from the remaining 3 vowels (since we are allowing repetitions). This gives us 4 x 3 possibilities for the vowels.

Now we select the consonants for the center three positions. We have 6 different consonants to choose from, and since each position must be filled with a unique letter, we can select these in 6P3 (6 permute 3) ways, which is calculated as 6 x 5 x 4.

Finally, to find the total number of 5-letter "words," we multiply the number of ways to choose the vowels by the number of ways to choose the consonants, giving us 4 x 3 x 6 x 5 x 4 which equals 1440 possible "words."

Write the word sentence as an inequality. Thank you!
13 less than a number M is at most 7

Answers

Answer:

13 < M = ≤7

Step-by-step explanation:

Use the equation p = t - 3 to find the value of p when t = 5.

Answers

Answer:

p=2

Step-by-step explanation:

Since t is 5, in the equation you will plug in 5.

So, it will be 5-3.

Subtract 5 and 3.

5-3=2

So p is 2.

Final answer

p=2

What's the tenth term of a sequence with an explicit rule of ƒ(n) = 2 + (–3)(n – 1)?

Answers

Answer:

[tex]-25[/tex]

Step-by-step explanation:

Given: [tex]f(n)=2+(-3)(n-1)[/tex]

To find: tenth term of a sequence

Solution:

A sequence is a list of numbers in which order does matter and repetitions are allowed. A term is a number in the sequence.

For example in the sequence 1, 3, 5, 7, 9, ....,3 is the second term,9 is the fifth term.

To find the tenth term of a sequence, put n = 10 in [tex]f(n)=2+(-3)(n-1)[/tex]

[tex]f(n)=2+(-3)(n-1)\\=2+(-3)(10-1)\\=2+-3(9)\\=2-27\\=-25[/tex]

Answer:

-25

Step-by-step explanation:

Matt and Taylor are taking a test. The test is designed to produce an overall mean score of 80, with a standard deviation of 6 for all test takers. Suppose Matt scored an 85 on the test and Taylor scored a 78 on the test. Given that the data is approximately normal, find the probability that another test taker, chosen at random, scored less than Matt and more than Taylor.

Answers

Answer:

P (r) = 1/3

Step-by-step explanation:

Matt  85 - 80 = +(5)

Taylor 80-78 = - (2)

+5-2 = 3 rise so deviation is the same.

Another test taker in 4 outcomes less than taylor more than taylor less than matt more than matt, would also be the same as AnB union.

So their are 3 outcomes = 1/3 = 0.333 rep.

How many distinct triangles can be formed for which mZX = 51°, x = 5, and y = 2?
zero
one
two

Answers

Answer:

From the law of sines, we have:

,

where x and y are the sides opposite to angles X and Y, respectively.

Substituting the known values, we have:

, thus

                          .

Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.

Hope this helps!

Answer:

From the law of sines, we have:

,

where x and y are the sides opposite to angles X and Y, respectively.

Substituting the known values, we have:

, thus

                         .

Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.

Hope this helps!

Step-by-step explanation:

hurry up if u answer this u get 28 points 2+0

Answers

Answer:

Step-by-step explanation:

2

Answer:

2

Step-by-step explanation: its just 2

numerical expression add 8 and 7 and then multiply by 2​

Answers

Answer:

2(8+7)

Step-by-step explanation:

Answer:

(8+7)*2

(15)*2

30

(HELP WITH THIS )Suppose ages of cars driven by company employees are normally distributed with a mean of 8 years and a
standard deviation of 3.2 years. Approximately 75% of cars driven by company employees are older than
what age? Show your work and provide the exact answer.

Answers

Answer:

Let say 75% of  cars older than age  = Y  years

than 25 % cars of age less than Y Years

Z score corresponding to 25 %  =  -0.674

Z score = (Value - Mean) /SD

Value = Y

Mean = 8

SD = 3.2

Z score = -0.674

-0.674 = (Y - 8)/3.2

=> Y =5.84 Years

=> Y ≈ 5.9 Years

Approximately 75% of cars driven by company employees are older than  about 5.9 years

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Use technology or the z-distribution table on pages A-1 to A-2 in the ...

The shed in Adam’s backyard is shown below. Which correctly describes the dimensions of the figures that make up the shed? a rectangular prism measuring 5 feet by 6 feet by 8 feet and a triangular prism with the dimensions of 3 feet by 5 feet by 8 feet

Answers

Step-by-step explanation:

The shed in Adam's backyard consists of two main figures: a rectangular prism and a triangular prism.

1. The rectangular prism has dimensions of: -Length = 5 feet

-Width = 6 feet

-Height = 8 feet

2. The triangular prism has dimensions of: -Base length = 3 feet

-Height of the triangle (perpendicular to the base) = 5 feet - Height of the prism = 8 feet

So, the shed consists of a rectangular prism with dimensions 5 fe by 6 feet by 8 feet and a triangular prism with base dimensions 3 by 5 feet and a height of 8 feet.

Complete this statement:
16a2x2 + 20a²x + 12a2 - 4a?(

Answers

Answer:

the answer is 4aX(21+5ax)

Step-by-step explanation:the big x is a multiplication symbol

park rangers in yosemite estimared the number of racoons in one hiking area. the rangers tagged 15 racoons in the hiking area. the following week they captured 40 racoons. if the park rangers estimated there were 75 racoons in the area, how many of the captured racoons were tagged?

Answers

Answer:

8 racoons

Step-by-step explanation:

15/75=1/5 so 1/5 of the racoons are tagged. 1/5 of 40 is 8.

Which of the following represents the symmetric property of congruence?
Question 3 options:

A)

If ≅ , then ≅

B)

If ≅ , then ≅

C)



D)

If ≅ and ≅ , then ≅

Answers

Answer:

The symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Step-by-step explanation:

Two triangles are said to be congruent if they have the same three sides and the same three angles, not necessarily the same sides or the same angles are equal.

The properties of congruence are:

Reflexive property:

For all angles A, ∠A ≅ ∠A. That is, all angles are congruent to themselves.

If AB is side of a triangle then, AB ≅ AB.

Symmetric Property:

For any angles A and B if, ∠A ≅ ∠B, then ∠B ≅ ∠A.

For sides AB and CB of a triangle if, AB ≅ CB, then CB ≅ AB.

Transitive property:

For any angles A, B and C if, ∠A ≅ ∠B, and ∠B ≅ ∠C then ∠A ≅ ∠C.

For sides AB, CB and CA of a triangle if, AB ≅ CB, and CB ≅ CA, then AB ≅ CA.

Thus, the symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Final answer:

The symmetric property of congruence is represented by Option B: If AB ≡ CD, then CD ≡ AB, aligning with the principle that if one quantity equals another, the second equals the first as well.

Explanation:

The symmetric property of congruence states that if one geometric figure is congruent to another, then the second is also congruent to the first. This is a reflection of the more general symmetric property of equality in algebra, which states that if one quantity equals another, the second equals the first as well.

Looking at the provided options, the one that represents the symmetric property of congruence is:

Option B: If ABCD, then CDAB.

This option correctly reflects the symmetric property, which can be written as if pq, then qp where p and q are geometric figures or algebraic expressions.

Match each logarithm to its value.
A log 3
Logarithm
N is equal to -3.
B. 1093, 27
Logarithm
is equal to z
c. log, 27
Logarithm
is equal to
log, 27
3
D.
Logarithmy
is equal to 3.

Answers

Answer:

Step-by-step explanation:

The picture helps a lot in understanding what the problem is.  I could not understand what you typed.

OK, I can evaluate these log expressions.

A.  log  3  (base 27)  =  (1/3)   because   27^(1/3) = 3

B. log 27  (base 81) =  (3/4)   because  81^ (3/4) = 3^3 = 27

C. log 27  (base 9) = (3/2)   because   9^(3/2) = 27

D. log 27 ( base 1/3) =  -3    because  (1/3)^-3 = 27

Answer:

D,C,B,A

Step-by-step explanation:

2.06 ? 2.060
А. <
B.>
C.=​

Answers

2.06 is equivalent to 2.060

The numbers 2.06 and 2.060 are equal. So, the correct symbol to represent their relationship is C. = (equal) Therefore, the correct answer is option c.

The numbers 2.06 and 2.060 have the same numerical value; they represent the same quantity. The difference between them is the way they are expressed in terms of decimal places.

2.06: This number has two decimal places.

2.060: This number has three decimal places.

However, since there are no digits beyond the third decimal place in either number, the extra zero in 2.060 doesn't change the value of the number. In other words, the two numbers are numerically identical.

Therefore, you can represent their relationship with the "equals" symbol ( = ), indicating that they are equal:

C. = (equal)

Therefore, the correct answer is option c.

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Choose the correct x-intercepts for the following quadratic function. f(x)= x^2 + 5x – 14
A. x = 1, x = 3
B. X= 4, X = -3
C. x=2, x = -7
D. x = 2, x=-1

Answers

Answer:

x= -7           x = 2

Step-by-step explanation:

f(x)= x^2 + 5x – 14

To find the x intercepts, set the function equal to zero

0 = x^2 + 5x – 14

Factor

What two numbers multiply to -14 and add to 5

7*-2 = -14

7+-2 = 5

0= (x+7) (x-2)

Using the zero product property

x+7 =0      x-2 =0

x= -7           x = 2

Which set of lengths could be the side lengths of a right triangle? I need asap

A. 7 in., 7 in., 10 in.

B. 4.5 ft, 6 ft, 7.5 ft

C. 10 m, 11 m, 15 m

D. 8 cm, 10 cm, 13 cm

Answers

C hope this is right

when 6x^2-4x+3 is subtracted from 3x^2-2x+3 The result is

Answers

Answer:

-3x^2 +2x

Step-by-step explanation:

3x^2 -2x +3  subtract 6x^2-4x+3

3x^2 -2x +3

-(6x^2 -4x +3)

--------------------------

Distribute the minus sign

3x^2 -2x +3

-6x^2 +4x -3

--------------------------

-3x^2 +2x

Number of Burgers
Number of Wing Servings
Sara is serving wings and burgers at her party. Wings cost $6.00 per serving and burgers are $3.00 each. Sara knows that at least 4 of
her friends want wings. Sara must spend less than $45.00. Sara graphs a system of inequalities to determine how many servings of
each kind of food she could serve to stay within her budget.
According to the dark blue area on the graph, how many burgers could Sara serve if she serves wings to 7 guests?
TII

Answers

Answer:

1 burger

Step-by-step explanation:Wings=$6.00

People, she is going to serve wings to=7

$6 times 7 is $42, $45 minus $42 is $3. Each burger is 3 dollars so she will only be able to serve one burger.

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