Your reasoning is correct, but you made a mistake with your long division.
1248/98 = 12 remainder 72
__12_
98 | 1248
- 98
--------
268
-196
--------
72
Final Answer: 13 is minimum number of showings
Given:
The expression is:
To find:
The exponential notation for the given expression.
Solution:
We know that
...(i)
We have,
Using (i), the given expression can be written as:
Therefore, the exponential notation of the given expression is .
Hi there!
In order to solve, we'll need to use a proportion: 20/a = 21/20. Then, we'll cross-multiply and solve to find a: 21a = 400 | a = 19.05. Next, to find b, we can just use pythagorean theorem: 20^2 + (400/21)^2 = b^2 | b = 27.62.
We are using geometric mean to solve for a, then using pythagorean theorem to solve for b. If you need more help with geometric mean, or would like a complete explanation, please let me know! I'd be happy to provide you with that information.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
<h2>256</h2>
Step-by-step explanation:
The expression 4 raised to 4 can be written in mathematical term as and this means the value of 4 in four places as shown;
Hence the expression 4 raised to 4 is equivalent to 256
Answer:
(B)
Step-by-step explanation:
It is given that: From ΔONP and ΔMLP,
(By basic proportionality theorem)
∠MPL=LPM(Common)
Therefore, ΔONP is similar to ΔMLP by SAS similarity postulate.
Also, From ΔONP and ΔKPJ,
(By basic proportionality theorem)
∠OPN=KPJ(Common)
therefore, ΔONP is similar to ΔKPJ by SAS similarity postulate.
Now, since ΔONP is similar to ΔMLP by SAS similarity postulate and ΔONP is similar to ΔPJK by SAS similarity postulate, therefore ΔMLP is similar to ΔPJK by SAS similarity postulate.
Thus, all the three center triangles are similar by SSS similarity postulate.