Let’s find some exact values using some well-known triangles. Then we’ll use these exact values to answer the above challenges.
sin 45<span>°: </span>You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2.
sin 30° and sin 60<span>°: </span>An equilateral triangle has all angles measuring 60 degrees and all three sides are equal. For convenience, we choose each side to be length 2. When you bisect an angle, you get 30 degrees and the side opposite is 1/2 of 2, which gives you 1. Using that right triangle, you get exact answers for sine of 30°, and sin 60° which are 1/2 and the square root of 3 over 2 respectively.
Now using the formula for the sine of the sum of 2 angles,
sin(A + B) = sin A cos<span> B</span> + cos A sin B,
we can find the sine of (45° + 30°) to give sine of 75 degrees.
We now find the sine of 36°, by first finding the cos of 36°.
<span>The cosine of 36 degrees can be calculated by using a pentagon.</span>
<span>that is as much as i know about that.</span>
3.2 gallons of paint is needed since 2640 divided by 825 = 3.2
Hey there!
x^2 + 2x + 1
= 1^2 + 2(1) + 1
= 1 * 1 + 2 + 1
= 1 + 2 + 1
= 3 + 1
= 4
Therefore, your answer is: 4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer: 33.13 in
Step-by-step explanation:
First, let's start with the perimeter of the semicircles.
Since there are two, it is easier to do because the perimeter of the two halves will add to one full circle; so we can just calculate without having to halve anything.
The formula for the perimeter (aka circumference) of a circle is 2πr
Plug the radius into the equation to get 2π4, or 8π
8π ≈ 25.13
The perimeter of the rectangle is 6(4) = 24.
We now have to subtract the diameters of the circles, as they are not on the outside of the figure and won't be counted in the total perimeter. From the 24, we subtract the two diameters, or 16 in.
24 - 16 = 8
The total perimeter then comes out to be 25.13 + 8, or 33.13 in
6 seconds = 540 m
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Find 1 second:
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6 sec = 540 m
1 sec = 540 ÷ 6
1 sec = 90m
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Find 4 seconds:
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1 sec = 90m
4 sec = 90 x 4
4 sec = 360 m
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Answer: It can travel 360m in 4 seconds.
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