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zachthomas024
26.12.2020 •
Mathematics
Quick I need help plz
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Ответ:
It's answer is 1/3 .
Hope it helps have a great time :)
Ответ:
Step-by-step explanation:
The easiest way to get the answer is to convert the decimal form into its fraction form. All you have to do is to take note of the number of decimal places in order to raise the number into the power of ten. 0.3 has one decimal place, thus, you can use 10.
Since there's no common factor, there's no cancellation needed. So, the answer is
.
Let' check.
If you divide 3 by 10, you will get the answer 0.3.
3 ÷ 10 = 0.3 (It's correct)You can get equivalent fractions to this by multiplying or dividing the numerator by the same number.
Example:
x
= ![\frac{6}{20}](/tpl/images/1007/8200/01cda.png)
You may also use the fraction
for your answer as this is also equivalent to 0.3.
Ответ:
Correct cos(α - β) = 140/221
Step-by-step explanation:
cosα = ±√(1 - sin²α) => cosα = ±√(1 - (-5/13)²) = ±√(1 - (25/169)
cosα = ±√(169 -25)/169 = ± √144/169
cosα = ± 12/13 since it is given that α (alpha) ends in the third quadrant
we choose cosα = - 12/13
we know that is tanβ = sinβ/cosβ = - 8/15 or sinβ : cosβ = 8 : 15 =>
sinβ = 8k and cosβ = 15k where k is the coefficient of proportionality
we know the basic trigonometric equality
sin²β + cos²β = 1 when we replace the coefficients we get
(8k)² + (15k)² = 1 => 64k² + 225k² = 1 => 289k² = 1 => k² = 1/289 =>
k = 1/17 now we get sinβ and cosβ
since it is given that β (beta) ends in the second quadrant
sinβ = 8/17 and cosβ = - 15/17
As we know it is:
cos(α - β) = cosα cosβ + sinα sinβ = - 12/13 · (- 15/17) + (- 5/13) · 8/17 =>
cos(α - β) = 180/221 - 40/221 = 140/221
cos(α - β) = 140/221
God is with you!!!