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Vesnalui [34]
3 years ago
14

Help guys with the question

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

Answer:

\sin\Big(\dfrac{\theta }{2}\Big) = \dfrac{2\sqrt 5}{5}

Step-by-step explanation:

\cos(2x) = \cos^2 x-\sin^2 x = 1-2\sin^2 x \\ \\ \cos(x) = 1-2\sin^2 (\frac{x}{2}) \\ \\ \Rightarrow \sin^2 (\frac{x}{2}) = \dfrac{1-\cos(x)}{2}\\ \\ \sin(\frac{x}{2}) = \pm \sqrt{\dfrac{1-\cos(x)}{2}},\quad x\in [\frac{3\pi }{2},\pi] \Rightarrow \frac{x}{2}\in [\frac{3\pi}{4},\frac{\pi}{2}]\\ \\ \Rightarrow \sin(\frac{x}{2}) > 0 \Rightarrow \sin(\frac{x}{2}) = \sqrt{\dfrac{1-(-\frac{3}{5})}{2}} \Rightarrow \sin(\frac{x}{2}) = \sqrt{\dfrac{8}{10}}=\dfrac{2\sqrt 2}{\sqrt{10}} = \\ \\ =\dfrac{2\sqrt 5}{5}

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Pierre Hugo is handling the estate of a prominent businesswoman. The will states that the surviving spouse is to receive one hal
umka21 [38]

Answer:

Each child will receive 0.125 (or 12.5%) of the estate.

Step-by-step explanation:

If the surviving spouse gets one half of the estate, the other half have to be divided among the four surviving children.

So its 0,5 divided among the 4 surviving children. That is 0.125 or 12.5% of the estate.

Each child will receive 0.125 of the estate.

5 0
3 years ago
What type of triangle has exactly two acute triangles ​
Sveta_85 [38]

Answer: A right triangle.

Step-by-step explanation:

This is because an acute triangle would have all of its three sides acute while an obtuse one would have two acute angles as well, but also an obtuse one. If the question is specifically asking for a triangle with exactly two acute angles, a right triangle would be the answer.

8 0
3 years ago
Help please this question is so hard!
Nitella [24]
So to solve this first you need to convert all the answers to decimals.
Site B 17/9 = 1.89 when you round up
Site D 4/3 = .75
Then look at all the numbers least to greatest.
D .75 m C 1.36 m A 1.60 m B 1.89 m
Answer D, C, A, B
6 0
3 years ago
How do you make 2/5 a percent??
Yakvenalex [24]
Divide 2 by 5.
you get .4
to make a number a percent, you shift the decimal two placed to the right.
so 2/5=.4=40%
4 0
3 years ago
PLEASE HELP!<br><br> Thank you if you helped! <br> Will give Brainliest
pogonyaev

Rent all

55.5/3 = 18.5

74/4 = 18.5

it costs 18.5 per day

1.     y = 18.5 x      where y =cost and x=days


A-1

10.99 per 1/2 day

10.99 * 2 =21.98 per day

2.  it costs 21.98 per day from A-1


Rentall is the better deal because it is only 18.50 per day versus 21.98 per day




5 0
3 years ago
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