1) 85 is 20% of 425 (you can solve this by dividing 85 and 20%)
2) 22 is 11% of 200 (divide)
3) 60% of 145 is 87 (multiply 60% and 145)
4) he spent $33 (multiply)
5) B.25 (divide)
The area of the sector (As) of a circle may be calculated by the formula,
As = (a / 360) x π x r²
where a is the measure of angle in degrees and r is the radius. Substituting the known values,
As = (18 / 360) x 3.14 x (4²) = 2.512
Thus, the area of the sector is approximately 2.512 squared units.
4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>
The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
<h3>Missing Information</h3>
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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The graph of g(x) is the same as that of f(x), EXCEPT that the graph of f(x) has been translated 8 units to the left and 4 units up.