Answer:
30 is 60% of 50.
Step-by-step explanation:
30 ÷ 60% = 50
Answer:
62 degrees
Step-by-step explanation:
Since we know 3 sides of the triangle, we can use law of cosines.







Take the arcos or cosine inverse

Which is about 62 degrees.
<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
Answer:
About 6 inches tall.
Step-by-step explanation:
One book has a thickness of 2
inches.
Another book has a thickness of 3.56 inches
Converting 2
inches to decimals will give; 2.4285714286 inches
If the books are stacked together, they become 2.4285714286 inches + 3.56 inches = 5.988571429 inches tall or about 6 inches tall (answer rounded up to nearest whole number).
Answer:
a
Step-by-step explanation: