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Inessa05 [86]
3 years ago
15

If the side length of a square pyramid is triple and the slant height is divided by 5 what would be the formula to find the modi

fied surface area
Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0
If the original side length is "s" and the original slant height is "h", the original surface area is
.. S = (base area) +(lateral area)
.. S = s² +(1/2)*(4s)*h
.. S = s(s +2h)

Now, if we make these replacements: s ⇒ 3s, h ⇒ h/5, we have
.. S' = (3s)(3s +2h/5)
.. S' = 9s² +(6/5)s*h . . . . . . . the formula for the modified area (in terms of original dimensions)

_____
Of course, in terms of the modified dimensions, the formula is the same:
.. S' = s'(s' +2h')
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The complex solution to a quadratic equation is x equals start fraction three plus or minus square root of negative 36 end squar
Naya [18.7K]
The square root of a -36 simplifies to "6i". So you have 3+/- [6i/6].  The 6's cancel each other out leaving 3+/-i.  So the "a" is 3 and the "b" is 1
4 0
3 years ago
Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
What is the answer???
atroni [7]

Answer:

it is a 90 degree angle

Step-by-step explanation:

because the little square in the corner

5 0
3 years ago
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Find the volume of a cylinder with a height of 16ft and diameter of 7 feet. Write answer in pie
finlep [7]

Answer:

Step-by-step explanation:

volume of cylinder=V=πr^2h

given diameter=7 feet

radius=7/2 ft

height=16ft

v=π×7/2×7/2×16

=12.25×16×π

=196π

hope this helps

plzz mark me brainliest

5 0
3 years ago
Please help !!!!
aalyn [17]
A: The slope represents the amount of pay per hour and the amount of years worked.
As the number of years increases the amount of pay increases. The independent variable is the amount of years worked. The dependant variable is the amount of pay per hour.
This gives a positive correlation.
Y intercept - 5,11 x = 5 y =11

B: I don't know sorry
6 0
3 years ago
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