Simplify the expression: 4(x + 3) = 40
2 answers:
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Answer:
Step-by-step explanation:
As x = 0 is a zero, (x + 0) is a factor.
Dividing the equation by (x + 0) leaves x² - 9x + 20.
Factoring this polynomial
x² - 9x + 20 = (x - 4)(x - 5)
x - 4 = 0
x = 4
x - 5 = 0
x = 5
The zeros are at 0, 4, and 5.
Which can be verified by using a plotting calculator.
Answer:
<h2>The height is 3.43 centimeters, approximately.</h2>Step-by-step explanation:
Notice that there are 16 pieces from the circle, which means each sector has an angle of
Where all sectors have equal area.
Now, the area of the whole circle is , if we use the formula of its area, we'll find the radius of the circle
Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.
To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.
Therefore, the height is 3.43 centimeters, approximately.