Answer:
The last angle is 60 degrees
Step-by-step explanation:
<u>All triangles add up to 180 degrees</u>
<u />
<u>Step 1: Make an equation</u>
What is the angle of a triangle if one angle is 68 and the other is 52.
<em>68 + 52 + x = 180</em>
<em />
<u>Step 2: Combine like terms</u>
68 + 52 + x = 180
<em>120 + x = 180</em>
<em />
<u>Step 3: Subtract 120 from both sides</u>
120 + x - 120 = 180 - 120
<em>x = 60</em>
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Answer: The last angle is 60 degrees
Circumference = 2πr or πd
The formula for circumference is 2πr (2 times pi times the radius)
2r = d (The radius x 2 = the diameter), so the circumference also = πd (pi times the diameter)
Answer:
The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Step-by-step explanation:
We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.
There are 9 letters in the word WONDERFUL
There is a condition that letter R is always next to E.
So, We have two letters fixed WONDFUL (ER)
We will apply Permutations to find ways of arrangements.
The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways
The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways
The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways
So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
6.4x10^5 + 0.36x10^5 = 6.76x10^5, or 676,000
Answer:
five thousand, one hundred and sixty six years old.
Step-by-step explanation:
