<u>Answer:</u>
<h2>
θ ≈ 81.37°</h2>
<u>Explanation:</u>
let the angle the ladder makes with the ground be θ
θ = cos⁻¹(3/20)
θ = cos⁻¹(0.15)
θ ≈ 81.37°
Answer:
83 m
Step-by-step explanation:
23.6 x 3.5 = 82.6 ≈ 83 m
Answer:
To find the scale factor of the enlargement, compare the distance between a pair of corresponding points from both shapes.
<u>Shape K</u>
A = (4, 7)
B = (7, 7)
C = (7, 4)
D = (5, 5)
Horizontal distance between A (4, 7) and B (7, 7) = 3 units
<u>Shape L</u>
A' = (0, 11)
B' = (9, 11)
C' = (9, 2)
D' = (3, 5)
Horizontal distance between A' (0, 11) and B' (9, 11) = 9 units
9 ÷ 3 = 3
Therefore, Shape L is an enlargement of Shape K by scale factor 3.
To find the center of dilation (enlargement), draw two lines through 2 corresponding points (e.g. A and A', B and B') - the point of intersection of these lines is the center of dilation.
Therefore, the center of enlargement is (6, 5) (refer to the second attached image).
Answer:
let me look
Step-by-step explanation:
Answer:
Step-by-step explanation:
First the mean= (1+6+7+2+9)/5=25/5=5
The Variance is taking the difference by subtracting , square it, and then average the result:
1-5=-4 -4²=16
6-5=1 1²=1
7-5=2 2²=4
2-5=-3 3²=9
9-5=4 4²=16
Total: 16+1+4+9+16=46
Variance= 46/5=9.2