Answer:
8.533333
Step-by-step explanation:
9^(−
1/
2
)+25−
1
2
+32^
(3/
5)
= 9
(−1
/2)
+25(−
1
/2)
+32
^(3
/5)
=0.333333+25^(−
1/
2)
+32
^(3
/5)
=0.333333+25
^(−1
/2)
+32
^(3/
5)
=0.333333+0.2+32^
(3/
5)
=0.533333+32
^(3
/5)
=0.533333+8
=8.533333
Answer:
Option A, SSS Postulate
Step-by-step explanation:
<em>Since it gives you three sides, that means that it is a SSS.</em>
There are no angles given which eliminates 2 options.
Answer: Option A, SSS Postulate
✅
<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:
![\frac{(10x - 4)}{5} = 20 \\ ✒ \: 10x - 4 = 20 \times 5 \\ ✒ \: 10x = 100 + 4 \\ ✒10x = 104 \\ ✒ \: x = \frac{104}{10} \\ ✒ \: x = 10.4](https://tex.z-dn.net/?f=%20%5Cfrac%7B%2810x%20-%204%29%7D%7B5%7D%20%20%3D%2020%20%5C%5C%20%E2%9C%92%20%5C%3A%2010x%20-%204%20%3D%2020%20%5Ctimes%205%20%5C%5C%20%E2%9C%92%20%5C%3A%2010x%20%3D%20100%20%2B%204%20%5C%5C%20%E2%9C%9210x%20%3D%20104%20%5C%5C%20%E2%9C%92%20%5C%3A%20x%20%3D%20%20%5Cfrac%7B104%7D%7B10%7D%20%20%5C%5C%20%E2%9C%92%20%5C%3A%20x%20%3D%2010.4)
![\sf\red{Therefore,\:the\:value\:of\:x\:is\:10.4.}](https://tex.z-dn.net/?f=%5Csf%5Cred%7BTherefore%2C%5C%3Athe%5C%3Avalue%5C%3Aof%5C%3Ax%5C%3Ais%5C%3A10.4.%7D)
<u>To </u><u>verify</u>:-
![\frac{(10x - 4)}{5} = 20 \\ ✒ \: \frac{10 \times 10.4 - 4}{5} = 20 \\ ✒ \: \frac{104 - 4}{5} = 20 \\ ✒ \: \frac{100}{5} = 20 \\ ✒ \: 20 = 20 \\ ✒ \: L.H.S.=R. H. S](https://tex.z-dn.net/?f=%20%5Cfrac%7B%2810x%20-%204%29%7D%7B5%7D%20%20%3D%2020%20%5C%5C%20%E2%9C%92%20%5C%3A%20%20%5Cfrac%7B10%20%5Ctimes%2010.4%20-%204%7D%7B5%7D%20%20%3D%2020%20%5C%5C%20%E2%9C%92%20%5C%3A%20%20%5Cfrac%7B104%20-%204%7D%7B5%7D%20%20%3D%2020%20%5C%5C%20%E2%9C%92%20%5C%3A%20%20%5Cfrac%7B100%7D%7B5%7D%20%20%3D%2020%20%5C%5C%20%E2%9C%92%20%5C%3A%2020%20%3D%2020%20%5C%5C%20%E2%9C%92%20%5C%3A%20L.H.S.%3DR.%20H.%20S)
Hence verified. ✔
![\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘](https://tex.z-dn.net/?f=%5Ccirc%20%5C%3A%20%5C%3A%20%7B%20%5Cunderline%7B%20%5Cboxed%7B%20%5Csf%7B%20%5Ccolor%7Bgreen%7D%7BHappy%5C%3Alearning.%7D%7D%7D%7D%7D%E2%88%98)
Answer:
23.81%
Step-by-step explanation:
The total number of ways to select 5 out of 10 will be;
10 C 5 = 252
The number of ways of selecting 2 boys out of 6 will be
6 C 2 = 15 ways
The number of ways of selecting 3 girls out of 4 will be
4 C 3 = 4 ways
The probability of both will be;
(4 * 15)/252 = 60/252 = 0.238095238095
To the nearest percentage, that will be 23.81%