Answer:
Option C. P =
Step-by-step explanation:
Bonnie gas a container in the shape of a rectangular pyramid.
Formula for the surface area of the enclosed space is given by
S = lw + 0.5 Ph
We have to solve this for the value of P.
S = lw + 0.5 Ph
S - lw = (lw + 0.5 Ph) - lw [ By subtracting lw from both the sides of the equation]
S - lw = 0.5Ph
P = [ dividing by 0.5h on both the sides of the equation]
Therefore,Option C. P = will be the answer.
X = 32.
117 + 31 = 148.
180 - 148 = 32. (All angles in a triangle add up to 180 degrees)
Answer:
$5.35
Step-by-step explanation:
.85+4.50= 5.35
The combination that denotes the empty set{∅} is motor ∩ bicycle.
<h3>What is a set theory?</h3>
Set theory is the mathematical study of well-defined groups of things called elements of the set.
In the given Venn diagram, the elements in the set of Motor, Manual, and Bicycle are as follows:
- Motor = {8, 24}
- Manual = {24, 32}
- Bicycle = {44}
- The union of motor and manual i.e. Motor ⋃ Manual = {24}
The combination that represents an empty set {∅} is the intersection that occurred between motor and bicycle and can be expressed as:
= motor ∩ bicycle
This is because there are no set elements overlapping between motor and bicycle, this makes it an empty set{∅}.
Learn more about set theory here:
brainly.com/question/13458417
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<h3>
Answers:</h3><h3>
f(4) = 12</h3><h3>
f(5) = 13</h3>
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Explanation:
This is a piecewise function as it is composed of two pieces.
The equation for f(x) depends on what x is. Specifically whether it is even or odd.
If x is even, then f(x) = x^2-4. If x is odd, then f(x) = 3x-2
------------
f(4) means f(x) when x = 4. We have an even number input for x, so we'll go with f(x) = x^2-4
f(x) = x^2 - 4
f(4) = 4^2 - 4
f(4) = 16 - 4
f(4) = 12
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When x = 5, x is now odd, so use f(x) = 3x-2
f(x) = 3x-2
f(5) = 3(5) - 2
f(5) = 15 - 2
f(5) = 13