Explanation:
If your actual answer is very far from your estimate, you probably made a mistake somewhere.
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<em>Additional comment</em>
50 years ago, when a slide rule was the only available calculation tool, making an estimate of the result was a required part of doing the calculation. Not only were the first one or two significant digits needed, but also the power of 10 that multiplied them. Use of a slide rule required the order of magnitude be computed separately (by hand) from the significant digits of the result.
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You may also find it useful to estimate the error in your estimate. That is, you may want to know the approximate answer to 2 (or more) significant digits in order to gain confidence that your calculation is correct.
It
is given that the two figures are similar. This means that mV is equal to mN,
mW is equal to mO, and mX is equal to mP. The sum of the angles of a triangle
is equal to 180 degrees.
<span> mV + mW + mX = 180</span>
Substituting
the known variables and the conditions given in the description of the similar
triangles,
<span> 44 + mW + 66 = 180</span>
<span>The
value of mW in the equation is 70 degrees. </span>
Answer:
Step-by-step explanation:
Substitute the value of 
Answer:
The right statement is sin(J) = cos(L) ⇒ answer D
Step-by-step explanation:
* Lets describe the figure
- LKJ is a right triangle, where K is a right angle
∵ m∠K = 90°
∵ LJ is opposite to angle K
∴ LJ is the hypotenuse
∵ LJ = 219
∵ KJ = 178
- By using Pythagoras Theorem
∵ (LJ)² = (LK)² + (KJ)²
∴ (219)² = (LK)² + (178)² ⇒ subtract (178)² from both sides
∴ (LK)² = (219)² - (178)²
∴ (LK)² = 16277
∴ LK = √16277 = 127.58
* Lets revise how to find the trigonometry function
# sin Ф = opposite/hypotenuse
# cos Ф = adjacent/hypotenuse
# tan Ф = opposite/adjacent
∵ LK is the opposite side to angle J
∵ LJ is the hypotenuse
∵ sin(J) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ sin(J) = 127.58/219 = 0.583
∵ LK is the adjacent side to angle L
∵ LJ is the hypotenuse
∵ cos(L) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ cos(L) = 127.58/219 = 0.583
∴ sin(J) = cos(L)
* The right statement is sin(J) = cos(L)
