a) Approximately 40° for depression and 5° for elevation; b) it relates to the height of the observer; c) none. Step-by-step explanation: (a) Angles of depression and elevation: The angle of depression is roughly 40°, while the angle of elevation is around 5°. (b) The angles depend on the observer's height. A taller individual will have a smaller angle of elevation paired with a larger angle of depression. (c) None of the angles can reach or exceed 99°, since they are components of a right triangle. If one angle is a right angle, both of the others must be lesser than 90°.
To start, calculate the return for each
price per unit
Return = quantity sold x price
per unit
Return1 = 5000 units x Php 900
Return1 = Php 4,500,000
Next, figure out the return for the other price per
unit
Return2 = quantity sold x
price per unit
Return2 = (5000 + 1500 units) x (
Php 900 – 100)
Return2 = Php 5,200,000
Thus, a price of Php 800 per unit will result in a higher return.
The total number of individuals surveyed is 280. From the survey results, 65% were satisfied with the park's condition. Given that this satisfied group represents 182 people, we can calculate the overall survey population using this information.
Answer:
- Boat speed: 17.25 mph
- Current: 2.5 mph
Step-by-step explanation:
When going upstream, the current's speed (c) reduces the boat's speed (b), resulting in a net speed. Conversely, going downstream, the current's speed adds to the boat's speed. We can use the relation...
speed = distance/time
b - c = 29.5/2 = 14.75..... miles/hour
b + c = 59.25/3 = 19.75....miles/hour
By subtracting the first equation from the second, we arrive at...
(b+c) - (b-c) = 19.75 - 14.75
2c = 5
c = 2.5
Then we can use any of the equations to calculate b:
b = 14.75 + c = 17.25
The boat's speed in still water amounts to 17.25 miles per hour, while the current's speed is 2.5 miles per hour.
Answer:
1.0 gram (rounded from.98)
Step-by-step explanation:
This is an exponential equation represented as 
, where a denotes the initial quantity and b represents the rate of decay (or growth). The initial amount a is straightforward, being 430, but for b, ensure it's expressed in decimal form. To convert the percentage (like 27.4%) to decimal, simply move the decimal point two places to the left, yielding.274.
Next, with the equation 
, we can apply the value of x as 19.
Also, be aware that if different units are involved, like if t represented a decay over 19 hours, those would need to be converted as well. I'm here to help if you require further clarification.
