Answer:
13 feet long
Step-by-step explanation:
This situation forms a right triangle, where the ladder is the hypotenuse, the distance away from the building is the short leg, and the height to the side of the building is the long leg.
Use the pythagorean theorem, and solve for c, the hypotenuse:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c
So, the ladder is 13 feet long
Answer:
A
Step-by-step explanation:
|-20| = 20 the positive value of -20
20 is not < 20 so A is false
All the rest are true
(B) |9| = 9
(C) |-20| = 20 > 9
(D) |9| = 9, |20| = 20 and 9 < 20
Answer:
84 degrees
Step-by-step explanation:
Applying the Cosine Rule (Choice 2 is the correct one) :-
12^2 = 11^2 + 6^2 - 2*11*6 cos Y
144 = 121 + 36 - 132 cos Y
cos Y = (121 + 36 - 144) / 132
cos Y = 0.09848
Y = 84.3 degrees
Answer:
26 candy bars and 12 sodas
Step-by-step explanation:
This problem can be solved by a simple system of equations
I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.
The fact that she bought 38 itens means the x + y = 38.
She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38
So we have to solve the following system:
1)x + y = 38
2)1.25x + 1.49y = 50.38
From 1), we have that x = 38 - y. I am going to replace it in 2)
1.25(38-y) + 1.49y = 50.38
-1.25y + 1.49y = 50.38 - 47.5
0.24y = 2.88
y = 12.
Sally bought 12 sodas.
In 1: x = 38-y = 38-12 = 26
Sally bourght 26 candy bars
