Answer:
10 units
Step-by-step explanation:
Given that:
Cos a = 3 /5
From trigonometry ;
Cos θ = Adjacent / hypotenus
Side Adjacent angle a = 3 = FD
Hypotenus = 5 = DE
3 / 5 = FD / DE
FD = 6 units
3/5 = 6/DE
DE * 3/5 = 6
DE = 6 ÷ 3/5
DE = 6 * 5 /3
DE = 30 /3
DE = 10 units
Answer:
29%.
Step-by-step explanation:
We have been given that Boyd grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, be weight, of raspberries declined by 50 percent.
First of all, we will find the weight of tomatoes and raspberries using the given information.
Since the production, by weight, of tomatoes declined by 20 percent, so this year production of tomatoes is 80% of 140 pounds.
Since the production, be weight, of raspberries declined by 50 percent, so this year production of raspberries is 50% of 30 pounds.
Total production this year: pounds.
Now, we will percent decrease formula.
Therefore, the total yield, by weight, of Boyd's garden declined by 29%.