Answer:
C) x = ½
Step-by-step explanation:
Using the <em>Distributive Property</em> and combining like-terms will give you this:
-12 + 10x = 2x - 8
- 10x -10x
--------------------
-12 = -8x - 8
+ 8 +8
-------------
-4 = -8x [Divide by -8]
½ = x
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The surface area of square pyramid is 64 ft²
What is square pyramid?
In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a type of polyhedron with three or more triangular faces that meet above its base (the apex). A square pyramid is a pentahedron, a three-dimensional shape with a total of five faces. The Great Pyramid of Giza is a well-known example of a real-life pyramid. When we learn about pyramids, we must also learn other concepts that are related to them, such as the volume and area of the pyramid. In this article, we will learn what a square pyramid is, its types, characteristics, surface area formulas, and volume formulas with numerous examples and solutions.
For a square pyramid, the surface area is given by the following equation:
SA = a^2 + 4(a)(h)
where a is the side length of the base and h is the slant height.
In this case, a = 4 and h = 3. Therefore,
SA = 4^2 + 4(4)(3)
SA = 16 + 48
SA = 64 ft^2
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Answer:
P(t) = 1000e^(0.01155)t
Step-by-step explanation:
Let the population of barangay be expressed according to the exponential formula;
P(t) = P0e^kt
P(t) is the population of the country after t years
P0 is the initial population
t is the time
If barangay has 1000 initially, this means that P0 = 1000
If the population doubles after 60years then;
at t = 60, P(t) = 2P0
Substitute into the formula
2P0 = P0e^k(60)
2 = e^60k
Apply ln to both sides
ln2 = lne^60k
ln2 = 60k
k = ln2/60
k = 0.01155
Substitute k = 0.01155 and P0 into the expression
P(t) = 1000e^(0.01155)t
Hence an exponential model for barangay's population is
P(t) = 1000e^(0.01155)t
(c)
We notice that they already have common denominators, therefore we can just add the numerators up.
(x+y+x-y)/2xy=
2x/2xy
Dividing both top and bottom by 2x, we get
<h2><u><em>
1/y</em></u></h2>
-Hunter