Answer:
Step-by-step explanation:
Answer:
9/41
Step-by-step explanation:
Cosine represents adjacent / hypotenuse.
When A is the reference angle, AB is the adjacent side (9) and AC is the hypotenuse (41).
9/41 is already simplified.
Answer/Step-by-step explanation:
a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°
x + y + 50° = 180° (sum of angles in a ∆)
x + 80° + 50° = 180 (substitution)
x + 130° = 180°
x = 180° - 130° (subtracting 130 from each side)
x = 50°
b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)
x = 120 - 50 (subtracting 50 from each side)
x = 70°
y + x + 50° = 180° (sum of angles in a ∆)
y + 70° + 50 = 180° (substitution)
y + 120° = 180°
y = 180 - 120 (subtracting 120 from each side)
y = 60°
Since the ratio is 2:5:7, you can set up the equation 2x + 5x + 7x = 49. Solving it will give you 14x = 49 or x = 3.5. This means that Jayden got 7(3.5) = $24.50 and Ramon got 2(3.5) = $7. Therefore Ramon got $24.50 - $7 more than Jayden, which is equal to $17.50.
Given:
John had to pay a combined electric and gas bill $150.
The electric portion of the bill was $90.
To find:
The ratio of money spent on electric to that on gas.
Solution:
Let x be the amount of gas bill.
The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,
The gas portion of the bill was $60.
The ratio of money spent on electric to that on gas is:
Therefore, the ratio of money spent on electric to that on gas is 3:2.
