(3x - 5) + (5x + 1) Simplify it in polynomials
2 answers:
<h2><u>Answer:</u></h2><h2>
</h2><h2 /><h2><u>Solution Steps:</u></h2>
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<h3>1.) Combine 3x and 5x:</h3><em> - When there is more then 1 variable then you must combine them, (If possible.) In this case we have 2 variables, so to combine them you just have to add them together. </em>
<u>Equation at the end of Step 1:</u>
<em> - We do this because we need to get to 1 leftover number. So to do this, you just subtract/add the numbers by each other. In this case we have to add -5 by 1.</em>
So your answer is .
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<h3 />You might be interested in
Answer:
sin/4 * sin
/6 = 1/2 *(cos
/12 - cos 5
/12)
Step-by-step explanation:
Formula:- sinX sinY = (1/2) [ cos (X - Y) - cos (X + Y) ]
sin(π/4)sin(π/6)
= (1/2)[cos(π/4 - π/6) - cos(π/4 + π/6)]
= (1/2)[cos(3π/12 - 2π/12) - cos(3π/12 + 2π/12)]
= (1/2)[cos(π/12) - cos(5π/12)]
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
<u>Pyramid A</u>
-- base sides
-- Volume
<u>Pyramid B</u>
--- base sides
Required
Determine the volume of pyramid B <em>[Missing from the question]</em>
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
Where B represents the area of the base equilateral triangle, and it is calculated as:
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
The height is calculated from:
This gives:
Make h the subject
To calculate the volume of pyramid B, we make use of:
Since the heights of both pyramids are the same, we can make use of:
The base area B, is then calculated as:
Where
So:
So:
Where
and