The area of the prism is 12x² inches². Thus, the correct option is B.
<h3>What is a triangular prism?</h3>
Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.
Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.
For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,
Lateral Area = 3(x×4x) = 12x² inches²
Hence, the area of the prism is 12x² inches². Thus, the correct option is B.
Learn more about the Lateral surface area of triangular prisms:
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Answer: Commutative Property of Multiplication
<u>Step-by-step explanation:</u>
Commutative property is when two terms trade places.
(a · 3) × b = b × (a · 3)
Notice that (a · 3) switched places with b
Exponential functions are in the form
, where <em>a</em> is the initial value, <em>b</em> is the growth rate (percent increase) + 1, and <em>x</em> is the number of time periods. Our initial value is 100, and we're given the growth rate + 1 (tripling is the same as increasing by 200%; 200%=2.0; 2.0+1=3). Therefore our function is
.
Okay, so this is actually relatively simple:
Go up 44 units on the y-axis, where x=0, and put a point. Now, since the slope is 3x, you move 3 units up, and 1 unit right, and place a point. Do this about 3 times, continuing to make points up 3, over 1. You can also move 3 units down and 1 unit left from the point at (0,44) because by moving down, you move -3 units, and by moving left, you move -1 units. This causes the negatives to cancel out, and you keep the slope of 3.
I hope this explanation makes sense; good luck!
To solve algebraically:
Plug in any number for x, besides 0 because the y-intercept is (0,44). We will use 1 for our x.
y=44+3x
y=44+3(1)
y=44+3
y=47
And so, (1, 47) would be our point
You can use -1, as well.
y=44+3(-1)
y=44-3
y=41
(-1, 44) would be our point
Given:
13% calories from added sugar
270 calories
To get the total amount of calories, we need to divide the part by its corresponding percentage.
270 calories ÷ 13% = 2,076.92 calories.
=2,076.90 CALORIES
