Answer:
Explanation:
Compute the magnitude:
∣∣→a∣∣=√(−10)2+62+(−7)2
∣∣→a∣∣=√100+36+49
∣∣→a∣∣=√185
To obtain the unit vector of →a=(−10,6,−7), we divide each component by √185 but we should rationalize 1√185 to √185185:
ˆa=(−10√185185,6√185185,−7√185185)
Step-by-step explanation:
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Answer:
67.2
Step-by-step explanation:
The easiest way to do this is by taking your original number 112, and multiply it by the percentage. The way to do that is
112 x .6
This gets you 67.2
Answer:
<em>The third side of the triangle must have a length between 23 yd and 41 yd.</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:
32 - 9 < x < 32 + 9
23 < x < 41
The third side of the triangle must have a length between 23 yd and 41 yd.
Answer:
Subtraction
Step-by-step explanation:
Second line shows subtraction property of equality
The answer is 9<span>b<span><span>^3</span><span></span></span></span>−8<span>b^<span><span>2. Good luck!!!!</span></span></span>