Answer: 110/3
Step-by-step explanation:
5x+15= 8x+2 = 13/3
5 * 13/3 + 15= 110/3
<u>Given</u>:
Given that Corey is flying a kite with 105 meters of string.
The string makes an angle of 42° with the ground level.
We need to determine the height of the kite.
<u>Height of the kite:
</u>
The height of the kite can be determined using the trigonometric ratio.
Thus, we have;

From the given data, the values are
, opp = h (height of the kite) and hyp = 105 meters.
Substituting the values, we get;

Multiplying both sides of the equation by 105, we get;



Rounding off to the nearest meter, we get;

Thus, the height of the kite is 70 meters.
1. Can you describe what needs to be done here?
2. 5a-2<18
5a<20
a<4
3. 2a+8≥ -4(a+1)
2a + 8 ≥ -4a - 4
6a ≥ -12
a ≥ -2
Answer:

Step-by-step explanation:
This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).
Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.
First, let's find the constant ratio of change.

This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.
Now, we use the point slope formula to find the equation

Theerefore, the function that represents this situation is

Where
represents temperature and
represents hearbeats.
The answer is 22.222222%.