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Blababa [14]
2 years ago
8

The height and base dimensions of a pyramid are shown in the diagram.

Mathematics
1 answer:
marusya05 [52]2 years ago
5 0

Volume of the pyramid = 40 cubic units

Solution:

Let us find the volume of the pyramid.

Area of the base = \frac{1}{2}\ bh

                            $=\frac{1}{2}\times4\times5

                            = 10 square units

Area of the base (B) = 20 square units

Height of the pyramid = 12

Volume of the pyramid = \frac{1}{3}\times \text{Base}\times \text{Height}

                                       $=\frac{1}{3}\times 10\times12

                                       = 40 cubic units

Volume of the pyramid = 40 cubic units

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Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the
Firlakuza [10]

Answer:

Its B

Step-by-step explanation:

If you look at how the chart is flowing, the y values are 2 times the x value.

for example,

1x2=2

2x2=4

3x2=6

and

4x2=8

Therefore, the equation is linear and y=2x

3 0
2 years ago
Help quickly please!
Zarrin [17]
The answer to your question is C
6 0
2 years ago
Simplify completely.<br><br> (w15/w5)4<br><br> Enter your answer in the box.
Vlad [161]

Answer:w40

Step-by-step explanation:

w15/w5 = w10

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3 0
3 years ago
Determine the truth value of each of these statements if thedomainofeachvariableconsistsofallrealnumbers.
hoa [83]

Answer:

a)TRUE

b)FALSE

c)TRUE

d)FALSE

e)TRUE

f)TRUE

g)TRUE

h)FALSE

i)FALSE

j)TRUE

Step-by-step explanation:

a) For every x there is y such that  x^2=y:

 TRUE

This statement is true, because for every real number there is a square         number of that number, and that square number is also a real number. For example, if we take 6.5, there is a square of that number and it equals 39.0625.

b) For every x there is y such that  x=y^2:

 FALSE

For example, if x = -1, there is no such real number so that its square equals -1.

c) There is x for every y such that xy = 0

 TRUE

If we put x = 0, then for every y it will be xy=0*y=0

d)There are x and y such that x+y\neq y+x

 FALSE

There are no such numbers. If we rewrite the equation we obtain an incorrect statement:

                                   x+y \neq y+x\\x+y - y-y\neq 0\\0\neq 0

e)For every x, if   x \neq 0  there is y such that xy=1:

 TRUE

The statement is true. If we have a number x, then multiplying x with 1/x (Since x is not equal to 0 we can do this for ever real number) gives 1 as a result.

f)There is x for every y such that if y\neq 0 then xy=1.

TRUE

The statement is equivalent to the statement in e)

g)For every x there is y such that x+y = 1

TRUE

The statement says that for every real number x there is a real number y such that x+y = 1, i.e. y = 1-x

So, the statement says that for every real umber there is a real number that is equal to 1-that number

h) There are x and y such that

                                  x+2y = 2\\2x+4y = 5

We have to solve this system of equations.

From the first equation it yields x=2-2y and inserting that into the second equation we have:

                                   2(2-2y)+4y=5\\4-4y+4y=5\\4=5

Which is obviously false statement, so there are no such x and y that satisfy the equations.

FALSE

i)For every x there is y such that

                                     x+y=2\\2x-y=1

We have to solve this system of equations.

From the first equation it yields x=2-y  and inserting that into the second equation we obtain:

                                        2(2-y)-y=1\\4-2y-y=1\\4-3y=1\\-3y=1-4\\-3y=-3\\y=1

Inserting that back to the first equation we obtain

                                            x=2-1\\x=1

So, there is an unique solution to this equations:

x=1 and y=1

The statement is FALSE, because only for x=1 (and not for every x) exists y (y=1) such that

                                         x+y=2\\2x-y=1

j)For every x and y there is a z such that

                                      z=\frac{x+y}{2}

TRUE

The statament is true for all real numbers, we can always find such z. z is a number that is halway from x and from y.

5 0
3 years ago
Jared surf for one third of the nine hours he was at the beach he spent the rest of the time building a sandcastle how many hour
WINSTONCH [101]
9 dived by 3 = 3
so he surfed for 3 hours = 1/3 of 9
and there are 6 hours left 

so he spent 6 hours building a sandcastle 
8 0
3 years ago
Read 2 more answers
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