The answer is: "p = 2" .
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Explanation:
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Given:
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" 8p + 8 = 10 + 7p " ; Solve for "p" ;
Subtract "7p" from each side of the equation; & subtract "8" from each side of the equation; as follows:
8p + 8 − 7p − 8 = 10 + 7p − 7p <span>− 8 ;
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to get:
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"p = 2 " ; which is our answer.
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Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Answer:
too much reading, can you put more points.
(edit: OML SO SORRY -THOUGHT THIS WAS QUESTIONS)
Step-by-step explanation:
The complement of 'x' degrees is (90 - x) degrees.
The supplement of 'x' degrees is (180 - x) degrees.
The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.
A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.
Below are the steps for copying a line segment:
- 1. Let's begin with a line segment we need to copy, AB.
- 2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.
- 3. Now we place the the compass pointer on the point A of line segment AB.
- 4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.
- 5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.
- 6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.
- 7. From C, draw a line to D;CD thus formed is equal to AB.
Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.
To learn more about line segment visit:
brainly.com/question/25727583
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