Answer:
x=81 degrees z=99 degrees y=68 degrees
Step-by-step explanation:
first we know 36+63+x is 180 degrees by triangle sum ( the sum of the three angles of a triangle is 180) so x would be 81 degrees. then we know x+z=180 degrees by sum of a line( a line is 180 degrees on either side) making z=99 degrees. Then doing triangle sum again we know 13+99+y=180 degrees making y=68 degrees
Answer:
See explanation
Step-by-step explanation:
A dog owner observes that from birth to age 14 weeks, the puppy’s weight can be modelled by the equation
![w = 365\cdot (1.23)^t \ (0\le t \le 14)](https://tex.z-dn.net/?f=w%20%3D%20365%5Ccdot%20%281.23%29%5Et%20%5C%20%280%5Cle%20t%20%5Cle%20%2014%29)
In this equation,
- number 365 represents the initial weight of puppy;
- number 1.23 can be rewritten as 1+0.23, where 0.23 (or 23%) is the rate of weight increase.
When w=4,000, then
![4,000=365\cdot (1.23)^t\\ \\(1.23)^t =\dfrac{4,000}{365}=\dfrac{800}{73}\\ \\t=\log_{1.23}\dfrac{800}{73}\approx 11.5651](https://tex.z-dn.net/?f=4%2C000%3D365%5Ccdot%20%281.23%29%5Et%5C%5C%20%5C%5C%281.23%29%5Et%20%3D%5Cdfrac%7B4%2C000%7D%7B365%7D%3D%5Cdfrac%7B800%7D%7B73%7D%5C%5C%20%5C%5Ct%3D%5Clog_%7B1.23%7D%5Cdfrac%7B800%7D%7B73%7D%5Capprox%2011.5651)
This means that puppy will weight 4,000 grams nearly at the middle between 11th week and 12th week.
The equation is already in Standard Form.
Answer: I am very confused on the question you are asking next time be more spacific
Step-by-step explanation:
Answer:
66600 ft
Step-by-step explanation:
First draw a rectangle and draw a diagonal line in the middle. The line makes two triangles, and the line itself is the hypotenuse. So, to find hypotenuse, the formula is:
a^2 + b^2 = c^2
The variable c defines the hypotenuse. Therefore:
a = 150
b = 210
Let's solve:
150^2 + 210^2 = c^2
22500 + 44100 = c^2
66600 = c^2
Therefore, in conclusion, the result we are getting is 66600 ft.
<u><em>Hope This Helps!</em></u>