Answer:Area is the size of a surface
Step-by-step explanation:
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
The sequence is alternatingly decreasing and increasing.
3 - 9 = -6
-6 + 18 = 12
12 - 8 = 4
4 + 16 = 20
Therefore, next term will be:
20 - 7 = 13
Answer:
x = 4
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, as shown in the figure.
Equating their measures, we have ...
∠A = ∠C
8x -7 = 25 . . . . substitute the given expressions
8x = 32 . . . . . add 7
x = 4 . . . . . . divide by 8
Answer: The probability is 0.5
Step-by-step explanation:
The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)
The total area of the figure is equal to
Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2
Now, the area of region II is:
Region II = 20'*35' = 700
Then the probability is:
P = 700/1400 = 1/2 = 0.5
