Answer:
Step-by-step explanation:
<u>∠4 and 158° are supplementary as same side interior angles</u>
- m∠4 + 158° = 180°
- m∠4 = 180° - 158° = 22°
The rotation of the triangle 270° counter-clockwise about the origin gives
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>
<em />
If a point (x, y) is rotated 270° counter-clockwise about the origin, the new point is (y, -x)
The rotation of the triangle 270° counter-clockwise about the origin gives
Find out more on transformation at: brainly.com/question/4289712
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Answer:
ln(3) + 5 - 3ln(x) or 6.0986 - 3ln(x)
Step-by-step explanation:
= , since ln(x/y) = ln(x)-ln(y)
= ln(3) + , since ln(xy) = ln(x) + ln(y)
= ln(3) +
= , since ln() = yln(x)
= ln(3) + 5 -3ln(x) , since ln(e)=1
if needed further simplification,
ln(3) = 1.0986
ln(e) = 1
= 6.0986 - 3ln(x)
To find the area of the shaded piece, subtract the square area to the area of the sector.
<span>6 × 6 − <span>1/2</span><span>r^2 0</span></span>Subtract <span>☇
</span>36−1/2(6)2pi/2
☇
<span>36−<span>1/2</span>(6<span>)2</span><span><span>pi/</span>2
</span></span>☇
7.722 <span>✔
The area is 7.722. </span><span>✩</span>