Answer:
l = ( 2√3 + 1 ) m
Step-by-step explanation:
A = l²√3/4
3√3 = l²√3/4
12√3 = l²√3
l² = √12
l² = √2²·3
l = 2√3 m
when the length of each side increases by 1 meter
l = ( 2√3 + 1 ) m
Answer:
the volume of the sphere will be 4 times the volume of the cone;
Step-by-step explanation:
<u>The question is on volume comparison</u>
Volume of a sphere=4/3 ×r³
Volume of a cone= /3×r²h
where r is the radius and h is the height
<u>Apply the condition</u>
If r=h=1 unit
Then volume of sphere will be= 4/3 × ×1³ = 4/3
And volume of the cone will be= /3 ×1²×1 =/3
We can see the volume of the sphere will be 4 times the volume of the cone;
4/3 = 4×/3
Answer:
<em>1</em>
Row 1: 445
Row 2: 541
Row 3: 637
<em>2</em>
349 + 4.80n
<em>3</em>
135
Step-by-step explanation:
<em>1</em>
For this, use the equation I gave you above to find the costs.
<em>2</em>
First, the cost of the printer will <em>NOT</em> change, for the number of printers Eddie needs to buy does not change, he only needs one. This already helps you figure out that 349 is <em>not </em>a coefficient to the variable, n. However, when it comes to the number of blank shirts Eddie needs to buy, the number of he gets <em>does </em>change, this is the dependent variable that makes the cost vary. Using the equation above, you can plug in any number.
For example, 20.
349 + 4.80(20) = 445
<em>3</em>
For this final part, I just kept using the equation until I got the closest number that is lower than 1000. In this case, 135 got me 997, and 136 was just a few decimals away from 1000, but it was still over.
Given:
Line
To find:
Slope of the perpendicular line and slope of the parallel line.
Solution:
Equation of a given line:
Subtract 8x on both sides, we get
Divide by -6 on both sides.
Slope of this line is .
If two lines are perpendicular then their slopes are negative inverse of one another.
Slope of perpendicular line =
If two lines are parallel, then their slopes are equal.
Slope of perpendicular line =