Your answer would be 18.1 cm.
To find this length you have to notice that AC is the hypotenuse of the right-angled triangle ACD. This means that we can find it by using Pythagoras' Theorem (a² + b² = c²), however we need to find the length CD.
We can also find the length CD using Pythagoras' Theorem, because the length CD is the same as the base of the triangle at the top if the shape was split into a rectangle and a triangle.
The height of this triangle would be 11 - 4 = 7 cm, which means we can find CD by doing:
16² - 7² = 256 - 49 = 207 = CD²
Now we can find AC by doing √(CD² + 11²) = √(207 + 121) = √368 = 18.1
I hope this helps! Let me know if you have any questions :)
Answer:
Step-by-step explanation:
Cosine is equal to the ratio of the adjacent side to the hypotenuse.
In this case, the adjacent side measures 33 units and the hypotenuse measures 65.
So cos(y)=.
Given:
12 students average 70%
18 students average 80%
What is the overall average of the 30 students as a percent?
12 x 70% = 840%
18 x 80% = 1440%
840% + 1440% = 2280%
2280% / 30 = 76%
The overall average of the 30 students is 76%.
Answer:
A) 3
Step-by-step explanation:
12 * 2 = 24
8 * 3 = 24
24 = 24
When you multiply the same number with different exponents together, you add the exponents together.
3^2 + 3^x = 3^7
Adding the two together you have 3^(2 + x = 7)
Solve for x: 2 + x = 7
Subtract 2 from both sides:
x = 5
