Answer:
2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0
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4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0
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Factor:
2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0
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[2cos(x)-1][2sin(x)+sqrt(3)] = 0
Solve:
2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0
cos(x) = 1/2 or sin(x) = -sqrt(3)/2
x = +/-pi/3 or x = -pi/3 or (4/3)pi
hope this helps!
Answer:
Step-by-step explanation:
We have that, the ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3.
We want to find the area of the larger can, if the smaller can has a surface area of 180 square centimeters.
We know the scale factor is
To find the surface area of the larger can, we multiply the square of the scale factor by 180.
This implies that, the surface area of the larger can is
Answer:
0.135416667
Step-by-step explanation:
13/16 / 1/6=0.135416667
1. Since it is an isosceles triangle, we know that the two length sides have to be the same. Therefore, the angles across from the sides are the same. They cannot be 90 degrees or above because 90+90+0 would mean we would have all the interior angles at 180 but the thing is the third angle cannot be zero. Therefore, the other two angles cannot be 90 or more. They must be acute.
Also, if it had two right angles (90 degrees) or more, it could not close to be a triangle.
Answer:
May 7, May 13, May 19
Step-by-step explanation:
Bethany wears jeans every two days. So, if she wears jeans on May 1, then she will wear jeans on May 3, May 5, May 7
Similarly, she wears running shoes every 3 days. So if she wears running shoes on May 1, then she will wear them on May 4 and May 7.
So she will wear both on May 7.
We can see a pattern that she wore both after six days of wearing them together first time.
Using the pattern we can say that she will again wear them both on May 13 and May 19th ..
