Answer: √74
Step-by-step explanation: Let's start with the distance formula, shown below.
Now simply substitute the values into the formula, my work is below.
The distance between these two points is √74.
Answer:
![\large\boxed{\dfrac{16}{81}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B16%7D%7B81%7D%7D)
Step-by-step explanation:
The formula of an area of a circle:
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
r - radius
Circle A:
radius = 4 ft. Substitute:
![A_A=\pi(4^2)=16\pi\ ft^2](https://tex.z-dn.net/?f=A_A%3D%5Cpi%284%5E2%29%3D16%5Cpi%5C%20ft%5E2)
Circle B:
radius = 9 ft. Substitute:
![A_B=\pi(9^2)=81\pi\ ft^2](https://tex.z-dn.net/?f=A_B%3D%5Cpi%289%5E2%29%3D81%5Cpi%5C%20ft%5E2)
The ratio:
![\dfrac{A_A}{A_B}=\dfrac{16}{81}](https://tex.z-dn.net/?f=%5Cdfrac%7BA_A%7D%7BA_B%7D%3D%5Cdfrac%7B16%7D%7B81%7D)
Answer:
x=7
Step-by-step explanation:
This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:
6x-7=4x+7
From there you can solve for x. I will write my process here:
2x-7=7
2x=14
x=7
Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!
Answer:
s = 17 units
Step-by-step explanation:
In triangle ABD,
(AB)² + (BD)² = (AD)² (by Pythagoras Theorem)
=> 8² + 15² = s²
=> 64 + 225 = s²
=> s = ![\sqrt{289}](https://tex.z-dn.net/?f=%5Csqrt%7B289%7D)
=> s = 17 units
Hope it helps :)
Please mark my answer as the brainliest
Answer:
$2/p x peaches+$1.5/p x apples=15
16/h x hb+2/h x hw=32
Here you go, hopw this helps! :-)