Answer:
24.4 feet
Explanation:
Let x be the length of the wooden board as shown in the diagram.
Using trigonometry ratio, we can write


cross multiplying we get:

Diving through by 0.819, we obtain

To the nearest tenth, x=24.4 feet.
9.B
10.C
12.B
12. You have to do the circumference of the circle and then divide it by 2.
10. 7^2 is not 14 it is 49 because 7*7 is 49.
Answer: In-center of the triangle is point N.
Step-by-step explanation:
We are given a triangle △JKL.
In triangle △JKL, they drew perpendicular bisectors of each side of the triangle.
Also we are given angle bisectors of the each of angles in given triangle.
Note: Perpendicular bisector is a line that intersect a segment into two equal parts and also perpendicular to it.
<em>Also note that the in-center is the point forming the origin of a circle inscribed inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.</em>
<h3>We can see that angle bisectors are intersecting at a point N. </h3><h3>
Therefore, in-center of the triangle is point N.</h3>
1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 3 = ⅓(6) + 5 -> 3 = 7, which is false.
- 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
- -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
- 3 = ⅓(-6) + 5 -> 3 = 3, which is true.
So, the answer is (4) (-6, 3)
2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:
- y - 5 = 0.75x - 1.5
- y = 0.75x + 3.5
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
- 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
- 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
- 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.
So, the answer is (1) (6, 8).