Answer:
Initial 18 degrees Celsius
After 20 minutes, 5 degrees Celsius
Step-by-step explanation:
It’s initial temperature can be calculated as at the time when x = 0
When x = 0, the temperature is -6+24 = 18 degrees Celsius
This is because the exponent part equals 1 since anything raised in to the power of zero is one.
After twenty minutes,
T(x) = -6 +24e^-0.038(20)
T(x) = -6 + 11.224 = 5.224
And that is approximately 5 degrees Celsius to the nearest degree
We have a formula for that( according to the Intersecting chords theorem)
![fk \times hk = gk \times jk](https://tex.z-dn.net/?f=fk%20%5Ctimes%20hk%20%3D%20gk%20%5Ctimes%20jk)
3×4=2×jk
6=jk
Answer:
16 year olds had the higher ratio of black belts to brown belts.
Step-by-step explanation:
15 year olds: 8/28 students had black belts
8/28 = 28.6% had black belts
16 year olds: 10/27 students had bald belts
10/27 = 37.0% had black belts
Answer:
a. x = 14
b. Perimeter = 77
Step-by-step explanation:
a. Based on the Triangle Proportionality Theorem:
![\frac{2x - 2}{13} = \frac{21 - 7}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%20-%202%7D%7B13%7D%20%3D%20%5Cfrac%7B21%20-%207%7D%7B7%7D%20)
![\frac{2x - 2}{13} = \frac{14}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%20-%202%7D%7B13%7D%20%3D%20%5Cfrac%7B14%7D%7B7%7D%20)
![\frac{2x - 2}{13} = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%20-%202%7D%7B13%7D%20%3D%202%20)
Cross multiply
![2x - 2 = 2(13)](https://tex.z-dn.net/?f=%202x%20-%202%20%3D%202%2813%29%20)
![2x - 2 = 26](https://tex.z-dn.net/?f=%202x%20-%202%20%3D%2026%20)
Add 2 to both sides
![2x = 26 + 2](https://tex.z-dn.net/?f=%202x%20%3D%2026%20%2B%202%20)
![2x = 28](https://tex.z-dn.net/?f=%202x%20%3D%2028%20)
Divide both sides by 2
x = 14
b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7
Plug in the value of x
= (2(14) - 2) + 13 + 17 + 14 + 7
= 26 + 13 + 17 + 14 + 7
= 77