Answer:
70.1 yards
Step-by-step explanation:
See the attached diagram.
Let AC is the reservoir with A as the bottom and C is the top.
Now, B is the position of Howard which is 109 yards from A i.e. AB = 109 yards.
Again, the angle elevation from B to C is 50 degrees.
So, ∠ ABC = 50°
Now,
⇒ x = 109 cos 50 = 70.1 yards.
Therefore, the distance between the top of the reservoir and Howard i.e. BC is equal to 70.1 yards. (Answer)
Answer:
Step-by-step explanation:So to find it you need to eliminate either x or y. 2x-5y=10 over 4x-10y=20. In order to get y to eliminate you need one equation to have a positive 10y and a negetive 10y. So you multiply both sides of the first equation by negetive 2 so it is now, -4x+10y=-20. Notice how all the numbers in both equations are opposite this gives us ims infinitaly many sollutions. So it is not A. Or b it will do the same thing. The answer is either D or C hope this helps
Answer:
6433.98 ft
Step-by-step explanation:
In order to find what 25% of the tank's capacity is, we know to know the full capacity of the tank then take 25% of that. The volume formula for a right circular cone is

We have all the values we need for that:

This gives us a volume of 25735.93 cubic feet total.
25% of that:
.25 × 25735.93 = 6433.98 ft
So based on place values, the One's place is occupied by 4. To round to this digit, you go one number to the right. If that number is 5 or higher, you add one to 4. If it is less than 5, you don't add any to 4. Since 7 is greater than 5, you add 1 to 4, giving you 5, since you can now remove all the other numbers to the right.
5.
Answer:
Step-by-step explanation: