Answer:
The distance from the top of the tree to the end of its shadow is 17 m ⇒ 4th answer
Step-by-step explanation:
The relation between the three sides a, b and c of a right triangle, where c is the hypotenuse and b , c are the legs of the right angle is:
c² = a² + b² ⇒ Pythagoras Theorem
The tall of the tree (T) and its shadow in the ground (S) form two legs of a right triangle and the distance from the top of the tree to the end of the shadow (D) formed the hypotenuse of the triangle
By using Pythagoras Theorem
∵ (D)² = (T)² + (S)²
∵ The tree is 8 m tall
∴ T = 8
∵ It casts a shadow 15 m long on the ground
∴ S = 15
- Substitute them in the formula above
∴ (D)² = (8)² + (15)²
∴ (D)² = 64 + 225
∴ (D)² = 289
- Take √ for both sides
∴ D = 17
The distance from the top of the tree to the end of its shadow is 17 m
Answer:
2nd option
Step-by-step explanation:
the quadrilateral has 1 pair of parallel sides and is therefore a trapezoid.
• each lower base angle is supplementary to the upper base angle on the same side, that is
∠ 1 + ∠ 2 = 180° , so
x + x + 50 = 180
2x + 50 = 180 ( subtract 50 from both sides )
2x = 130 ( divide both sides by 2 )
x = 65
then
∠ 1 = x = 65°
∠ 2 = x + 50 = 65 + 50 = 115°
When the x-intercept solution of a system of two-variable equations is plugged in, the equations yield the same value. Thus, for the points to be solutions, F(x) = G(x)
The only option that shows this is C, where
F(8) = G(8) and F(24) = G(24)
Answer:
<u>a. 11</u>
<u>b. 9</u>
Step-by-step explanation:
<em>A:</em>
2 x 4 = 8
8 + 3 = 11
<em>B:</em>
-2 x -2 = 4
4 + 5 = 9
Hope this helps! Let me know if it was right!
