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Orlov [11]
3 years ago
12

Cube divided into 4 square pyramids with a height of 2h. The image above can be used to help construct an informal argument for

the formula for
A) the volume of a cube
B) the area of a square
C) the volume of a pyramid
D) none of the above

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0
A.
because the volume of the pyramids added together would be the cubes total volume.
8090 [49]3 years ago
8 0

Answer:

1. (b)(b)

2. (b)(b)(b)

3. b/2

4. 6

5. (1/6)(b)(b)(2h)

Step-by-step explanation:

You might be interested in
What is the Integral of 10^ln x dx?
Serjik [45]

10^{\ln x}=e^{\ln 10^{\ln x}}=e^{\ln x\cdot\ln 10}=(e^{\ln x})^{\ln10}=x^{\ln10}

So we have

\displaystyle\int10^{\ln x}\,\mathrm dx=\int x^{\ln10}\,\mathrm dx}=\dfrac{x^{1+\ln10}}{1+\ln10}+C

which, as the above manipulation showed, is equivalent to

\dfrac{x10^{\ln x}}{1+\ln10}+C

4 0
3 years ago
The circumstance of a circular field is 244.92 yards. What is the radius of the field ?Use 3.14 for pi and do not round your ans
Mama L [17]

Answer:

39 yards

Step-by-step explanation:

Assuming circumference is meant instead of circumstance, the circumference of a circle is 2\pi r.  Putting 2\pi r equal to 244.92 yards and substituting 39 for pi we can solve:

2(3.14)r = 244.92

6.28r = 244.92

r = \frac{244.92}{6.28}

r = 39

6 0
3 years ago
If R= {(1,2), (3,4), (5,6), (8,9)} find the domain and range of R a. Find value of X and Y.​
erma4kov [3.2K]

Answer:

Domain = (1,3,5,8) and Range = (2, 4, 6, 9)

Step-by-step explanation:

Domain are sets of input values

Range are set of output values that have a corresponding values in the domain

From (domain, range)

Therefore, the domain are: (1,3,5,8)

Range are: (2,4,6,9

6 0
3 years ago
In 1994, the moose population in a park was measured to be 3000. By 1998, the population was measured
dem82 [27]

Answer:

  P(t) = 100t +2600

  4100 in 2005

Step-by-step explanation:

You are given two points for (year, population) = (t, p):

  (4, 3000), (8, 3400)

It is useful to use the two-point form of the equation for a line.

  p = (p2 -p1)/(t2 -t1)(t -t1) +p1

  p = (3400 -3000)/(8 -4)(t -4) +3000

  p = 400/4(t -4) +3000

  p = 100t +2600

  P(t) = 100t +2600 . . . . written in functional form

In 2005, the population is predicted to be ...

  P(15) = 100×15 +2600 = 4100

6 0
3 years ago
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
velikii [3]
This is a question that needs a bit of common sense to get to the actual answer that is desired. Firstly there is one information given .The other information has to be found from common sense. ! single handshake requires 2 people. Now we can easily determine the number of people doing 66 handshakes.
Then
The number of people required for 1 hand shake = 2
Then
The number of people required to do 66 handshakes = ( 2 * 66) people
                                                                                     = 132 people
Then it can be said that there were 132 people in the party. I hope the process of doing this problem is clear to you.
4 0
3 years ago
Read 2 more answers
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