Question 3 is B
Question 4 is B
Mainly came from centuries of oppression towards the lower classes by the Tsarist regime and Nicholas's failures in World War I
<h2>
Answer:</h2>
![b. \ \boxed{32 \sq. \ units}](https://tex.z-dn.net/?f=b.%20%5C%20%5Cboxed%7B32%20%5Csq.%20%5C%20units%7D)
<h2>
Step-by-step explanation:</h2>
A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely,
. Also, the height
of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of
is:
![A=\frac{(b_{1}\text{+}b_{2})h}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%28b_%7B1%7D%5Ctext%7B%2B%7Db_%7B2%7D%29h%7D%7B2%7D)
Since:
![b_{1}=6, \ b_{2}=10, \ and \ H=4](https://tex.z-dn.net/?f=b_%7B1%7D%3D6%2C%20%5C%20b_%7B2%7D%3D10%2C%20%5C%20and%20%5C%20H%3D4)
The area is:
![A=\frac{(6\text{+}10)4}{2}=\boxed{32 \sq. \ units}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%286%5Ctext%7B%2B%7D10%294%7D%7B2%7D%3D%5Cboxed%7B32%20%5Csq.%20%5C%20units%7D)
For this case we have the following equation:
y = 3t + 6
Where we have the following variables:
t: time in minutes
y: distance traveled
We have then that the slope of the line is equal to 3.
The slope of the line represents the speed in feet per minute of the ant.
The speed of the ant is 3 feet per minute.
Answer:
C. The ant is crawling at 3 feet per minute
sin²(x) - 0.25 = 0
sin²(x) + 0.5sin(x) - 0.5sin(x) - 0.25 = 0
sin(x)[sin(x)] + sin(x)[0.5] - 0.5[sin(x)] - 0.5[0.5] = 0
sin(x)[sin(x) + 0.5] - 0.5[sin(x) + 0.5] = 0
[sin(x) - 0.5][sin(x) + 0.5] = 0
sin(x) - 0.5 = 0 or sin(x) + 0.5 = 0
sin(x) = 0.5 sin(x) = -0.5
sin⁻¹[sin(x)] = sin⁻¹(0.5) sin⁻¹[sin(x)] = sin⁻¹(-0.5)
x = 30°, ¹/₆π radians x = 210°, 1¹/₆π radians
150°, ⁵/₆π radians 330°, 1⁵/₆π radians