Answer:
10,088 pounds
Step-by-step explanation:
Provided data
103 bushels of apples
102 bushels of grapes
101 bushels of oranges
With the respective weight per bushel:
Apples = 32 pounds
Grapes = 25 pounds
Oranges = 42 pounds
The total weight can be calculated by summing the products of each type:
Total Weight: 103(32) + 102(25) + 101(42) = 10,088 pounds
Answer:
0.40 feet
Step-by-step explanation:
For the first scenario, a 50-foot building casts a shadow of 1 foot. Let the angle of elevation of the sun from the shadow be denoted as θ.
Then:
Tan θ = 
Tan θ = 
Tan θ = 50
⇒ θ = 
50
= 88.8542
= 
The elevation angle is roughly .
For a 20-foot pole,
Tan θ =
Tan = 
x = 
= 0.4015
= 0.40 feet
The length of the pole's shadow is 0.40 feet.
Response:
option D
Step-by-step reasoning:
Provided in the prompt is a right-angled triangle FGH.
Base of triangle = 12
Height of triangle = 5
Hypotenuse of triangle = 13
To solve the question, we'll apply trigonometric identities.
cos(F) = adjacent / hypotenuse
cos(F) = height / hypotenuse
cos(F) = 5 / 13
Thus, the cosine ratio for angle F is 5 / 13
