Answer: The volume is the product of the Length, Width, and Height: V = LWH.
Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.
Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2
Using the distributive property and moving the constant to the left gives:
W2 + (3 in.)W - 40 in.2 = 0
This factors:
(W + 8 in.)(W - 5 in.) = 0
The first factor gives W = -8 in. which is nonsense because it is negative.
The second factor gives a valid answer of W = 5 in.
Sure! Let's work this out. FIrst, we can add x to both sides.
8 > 6+x
Next, we subtract 6 from both sides.
2>x
Hope this helps!
Answer:
12.68°
Step-by-step explanation:
We know all three sides (18, 80, 82), but we only need two: 18, and 82. Why? What we do here is find the arcsin of the first leg divided by the hypotenuse.
arcsin(18/82)
<em>18/82 is the same as 9/41, which equals 0.21951 repeating (all 5 digits after the decimal are repeating, by the way).</em>
arcsin(0.21951)
<em>What you see above this statement equals 0.22131 radians.</em>
0.22131 rad
<em>To convert this to degrees, multiply by 57.2957795.</em>
0.22131 * 57.2957795
<em>0.22131 times 57.2957795 is 12.680128961145.</em>
12.680128961145°
<em>The directions say the final answer has to be two decimal places. So this becomes 12.68 (0 is less than 5, so round down).</em>
12.68°
Angle A is 12.68°.
Answer: 3.6
Step-by-step explanation:
Answer:
The answer to your question is slope = 2
Step-by-step explanation:
Data
Point 1 = (6, 2)
Point 2 = (9, 8)
Process
1.- Write the formula to calculate the slope
slope = m = (y2 - y1) / (x2 - x1)
2.- Identify the values of x1, y1, x2 and y2
x1 = 6 y1 = 2 x2 = 9 y2 = 8
3.- Substitution
m = (8 - 2) / (9 - 6)
4.- Simplification
m = 6 / 3
5.- Result
m = 2
