9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
A parallelogram<span> is a quadrilateral with opposite sides parallel .
</span><span>
A </span>trapezoid<span> is a quadrilateral with two sides parallel.
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A rhombus is a quadrilateral which all sides are congruent and opposite sides are parallel.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You can perform the division and look at the quotient and remainder to convert an improper fraction to a mixed number.
23 ÷ 6 = 3 r 5 ⇒ 23/6 = 3 5/6 ≠ 4 1/6
11 ÷ 4 = 2 r 3 ⇒ 11/4 = 2 3/4 ≠ 2 1/2
35 ÷ 4 = 8 r 3 ⇒ 35/4 = 8 3/4
15 ÷ 8 = 1 r 7 ⇒ 15/8 = 1 7/8
40 ÷ 12 = 3 r 4 ⇒ 40/12 = 3 4/12 = 3 1/3
<span>So you have to break it down by steps. For the first one19= h over 3-8. First what's 19+8, which is 27. So if you forget the minus 8 part, the answe has to equal 27. 27 x 3 is 81. So if we plug the numbers in, 19= 81/3 -8 makes sense. For the second one, 5t+8= 43. 43- 8 is 35. What times 5 is 35, that's 7. So plug it in, 5x7 +8 = 43.
Hope it makes sense now!!</span>
Answer:
x = 8 − 2√7
Explanation: Isolate the radical, then raise each side of the equation to the power of its index.
