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Pepsi [2]
3 years ago
6

Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches

Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer: a = 8

Step-by-step explanation:

Volume of a square based pyramid is given as

\frac{a^{2}h }{3} .

where a is the length of the side and h is the height.

Substituting into the formula , we have

V = \frac{a^{2}h }{3}

128 = a^{2}h /3

384= a^{2} X 6

Divide through by 6

384/6 = a^{2}

64 = a^{2}

Therefore :

a = \sqrt{\frac{64}{1} }

a = 8

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Mitchell went on a shopping trip to Kensington. He purchased a pair of headphones originally priced at $50 but discounted 60%. I
MrRa [10]

Answer:

$24.50

Step-by-step explanation:

60% of $50= $30

$50-$30= $20

15% of $20= $4.50

$20+$4.50= $24.50

8 0
2 years ago
Read 2 more answers
Is there enough information?
Minchanka [31]
Yea and the theorem is SAS
3 0
3 years ago
What is the solution set of {x | x < -5} ∩ {x | x > 5}?
777dan777 [17]
This symbol "∩" means intersection of both sets or what do both sets contain that are the same..

First set contains all numbers less than -5 and the other set contains all numbers greater than 5 so the sets don't overlap at all.

The solution set is empty ∅
7 0
3 years ago
What is the maximum number of possible solutions for the system shown below?
Fudgin [204]

Answer:

2

Step-by-step explanation:

The first equation is that of a an ellipse. The second equation is that of a line.

Attached is the graphs of both of these equations.

<em>If you think about it, there can only be 2 possible ways of solutions (intersection points) of an ellipse and a line.</em>

<em>1. The line will not intersect the ellipse at all, so no solution</em>

<em>2. The line will intersect the ellipse at 2 points maximum</em>

<em />

So, we can clearly see from the reasoning that the maximum number of possible solutions would be 2. The graph attached confirms this as well.

8 0
3 years ago
Read 2 more answers
Given the function f(x)=4x-9, evaluate and simplify the following f(-6) and f(4)
saveliy_v [14]

Answer:

<h2>f(-6) = -33, f(4) = 7</h2>

Step-by-step explanation:

f(x)=4x-9

f(-6), f(4)

Put x = -6 and x = 4 to the equation of the function:

f(-6)=4(-6)-9=-24-9=-33\\\\f(4)=4(4)-9=16-9=7

4 0
3 years ago
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