Answer:
Perimetre of the rencatngel Perimetre of the circle and substrac the.
Step 1) distribute the 17: -16+119w-204
Step 2) combine like terms: 119w-220
ANSWER: 119w-220
x + 90 = 7x
90 = 7x - x
90 = 6x
x = 90/6
x = 15
Result x = 15
Measure of each angle = 15 + 90
= 105
a) x = 15
b) angle = 105°
Second problem
a= Complementary
b) 90°
c) x = 90 - 37
x = 53°
9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
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<u>direction of v</u>
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
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<u>magnitude of u</u>
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
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Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
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<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
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