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Bond [772]
2 years ago
15

QUIZ Find the volume of the square pyramid. 9 cm 4 cm

Mathematics
1 answer:
kari74 [83]2 years ago
5 0

Answer:

SEE BELOW

Step-by-step explanation:

V=a²h/3
=9² x 4/3
= 81 x 4/3
= 27 x 4
= 108 cm³

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Identify what property is 17 + 54 + 6?
AVprozaik [17]
I believe it is the commutative property, hope this helps!
8 0
3 years ago
Can I have more help? Thank you xtra points!
Feliz [49]

Answer:

135

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Juan wishes to build a garden at the bottom of his property. He wants to split it in two, like the diagram below, so he can plan
SCORPION-xisa [38]

Answer:

20 ft by 60 ft

Step-by-step explanation:

"What should the dimensions of the garden be to maximize this area?"

If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:

120 = 3x + y

And the area is:

A = xy

Use substitution:

A = x (120 − 3x)

A = -3x² + 120x

This is a downward facing parabola.  The maximum is at the vertex, which we can find using x = -b/(2a).

x = -120 / (2 · -3)

x = 20

When x = 20, y = 60.  So the garden should be 20 ft by 60 ft.

4 0
3 years ago
Drag expressions into order to show a way to find 3 × 56.
lina2011 [118]
As we could "drag" these together, we could then do it the easy way.

  56
+56
+56
-------
168
------------------------

Or we could also do the following:

56*3:

6*3= 18.

Carry the one. 

5*3 = 15+1 (which was carried). = 16

(16+8) = 168





7 0
3 years ago
Read 2 more answers
A probability experiment is conducted in which the sample space of the experiment is upper s equals startset 4 comma 5 comma 6 c
olchik [2.2K]
The correct question statement is:

A probability experiment is conducted in which the sample space of the experiment is S = {4,5,6,7,8,9,10,11,12,13,14,15}. Let event E={7,8,9,10,11,12,13,14,15}. Assume each outcome is equally likely. List the outcomes in E^{c}. Find P(E^{c}).

Solution:

Part 1:

E^{c} means compliment of the set E. A compliment of a set can be obtained by finding the difference of the set from the universal set. The universal set is the set which contains all the possible outcomes of the events which is S in this case.

So, compliment of E will be equal to S - E. S - E will result in all those elements of S which are not present in E. So, we can write:

E^{c}=S-E \\  \\ 
E^{c}=(4,5,6,7,8,9,10,11,12,13,14,15)-(7,8,9,10,11,12,13,14,15) \\  \\ 
E^{c}=(4,5,6)

Thus the set compliment of E will contain the elements {4,5,6}.So

E^{c} = {4,5,6}

Part 2)

P(E^{c}) means probability that if we select any number from the Sample Space S, it will belong the set E compliment.

P(E^{c}) = (Number of Elements in E^{c})/Number of elements in S

Number of elements in set S = n(S) = 12
Number of elements in set E^{c} = n(E^{c})=3

So, 

P(E^{c})= \frac{n(E^{c}) }{n(S)} \\  \\ 
P(E^{c})= \frac{3}{12} \\  \\ 
P(E^{c})= \frac{1}{4}
7 0
3 years ago
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