Answer:
In the first box, the fraction is 1 and 1/4. In the second box, the fraction is 2 and 3/4. In the third box, the fraction is 3 and 3/4.
Step-by-step explanation:
The terms appear to increase by a multiple of -2. The first 7 terms are:
-4 + 8 + -16 + 32 + -64 + 128 + -256. Add these together.
The sum of these numbers is -172.
Cosine is a trigonometric function. The value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2. The correct option is A.
<h3>What is a cosine?</h3>
Cosine is the trigonometric function equal to the ratio of the side next to an acute angle to the hypotenuse in a right-angled triangle.
Given the value of cos(x)=-(√3)/2, therefore, the value of x can be written as,
cos(x) = -(√3)/2
(x) = cos⁻¹ [-(√3)/2]
x = 5π/6 = 150°
Now, the value of cos(x+π) will be,
cos(x+π)
= cos[(5π/6)+π]
= cos(11π/6)
= √3 / 2
Hence, the value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2.
Learn more about Cosine function here:
brainly.com/question/17954123
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Average speed = 5/2 = 2.5 km/h
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