Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Answer:
1 squared and 1 x squared
Step-by-step explanation:
Answer: 56 / 729
Step-by-step explanation: (4 * 2 * 7) / (9^3)
Answer:
The total allowance is $18.5, and the amount spent daily is $3.2
Step-by-step explanation:
let T and x represent the total allowance and the amount spent daily respectively.
It was started that the amount remaining after 2 days is $12.10 , which implies the person has spend an equal amount for 2 days
T - 2x =12.10 (equation 1)
It was started that the amount remaining after 5 days is $2.50 , which also implies the person has spend an equal amount for 5 days
T - 5x =2.5 (equation 2)
subtract equation 2 from 1
T - 2x -( T - 5x ) = 12.10 -2.5
T - 2x -T + 5x = 9.6
3x =9.6
Divide both side by 3
x = 9.6/3 =3.2
from equation 1
T - 2x =12.10
T = 12.10 + 2x = 12.10 + 2*3.2
= 12.10 + 6.4 = 18.5
V (7,9) would make PRTV a square
