Answer:
Step-by-step explanation:
(x+5)² = 36
x+ 5 = ±√36 = ±6
x = -5 ±6 = 1, -11
Answer:
Step-by-step explanation:
Pythagorean theorem:
x² + x² = (9√2)²
2x² = 162
x² = 81
x = 9
Answer:
Step-by-step explanation:
Given:
Type of Flowers = 5
To choose = 4
Required
Number of ways 4 can be chosen
The first flower can be chosen in 5 ways
The second flower can be chosen in 4 ways
The third flower can be chosen in 3 ways
The fourth flower can be chosen in 2 ways
Total Number of Selection = 5 * 4 * 3 * 2
Total Number of Selection = 120 ways;
Alternatively, this can be solved using concept of Permutation;
Given that 4 flowers to be chosen from 5,
then n = 5 and r = 4
Such that
![nPr = \frac{n!}{(n - r)!}](https://tex.z-dn.net/?f=nPr%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n%20-%20r%29%21%7D)
Substitute 5 for n and 4 for r
![5P4 = \frac{5!}{(5 - 4)!}](https://tex.z-dn.net/?f=5P4%20%3D%20%5Cfrac%7B5%21%7D%7B%285%20-%204%29%21%7D)
![5P4 = \frac{5!}{1!}](https://tex.z-dn.net/?f=5P4%20%3D%20%5Cfrac%7B5%21%7D%7B1%21%7D)
![5P4 = \frac{5*4*3*2*1}{1}](https://tex.z-dn.net/?f=5P4%20%3D%20%5Cfrac%7B5%2A4%2A3%2A2%2A1%7D%7B1%7D)
![5P4 = \frac{120}{1}](https://tex.z-dn.net/?f=5P4%20%3D%20%5Cfrac%7B120%7D%7B1%7D)
![5P4 = 120](https://tex.z-dn.net/?f=5P4%20%3D%20120)
Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways
She sold 2592 pears. If 2592/3=864 then when the total of pears and apples are added it should equal 3,456
2592+864=3456
These two angles are corresponding angles, so x = 136 degrees