Answer:
Pasta: $2.39
Jar of tomato sauce: $3.09
Coupons(-): $0.75+$0.50
Total cost: $4.23
Step-by-step explanation:
The total cost of Barry's purchase is the addition of the cost of purchase of pasta and a jar of tomato sauce, and the value of coupons is reduced from the answer. It would be the final answer.
9514 1404 393
Answer:
9.5°, yes
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...
tan(α) = 500/3000 = 1/6
α = arctan(1/6) ≈ 9.46°
The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.
_____
<em>Additional comment</em>
The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.
If this is your equation:

Solution:
LCD for 5 and 5x is 5x




←cross product
20x + 30 = 5x² + 25x ←simplify with distributive property
0 = 5x² + 5x - 30 ←use inverse operations to collect all terms on one side
0 = x² + x - 6 ←if possible divide by numerical GCF (This case 5)
0 = (x + 3)(x - 2) ←Factor
x = -3 or x = 2
Please check by substitution in original equation... Both work
Answer:
12
Step-by-step explanation: 12:3=4, 4 x 2= 8