To Prove :
Side lengths 6, 8 and 10 will make a right triangle.
Solution :
We know, by Pythagoras theorem :
Here, c is the biggest side and a and b are other sides.
Putting given values in above equation.
Since, LHS = RHS .
Therefore, lengths 6, 8 and 10 will make a right triangle.
Answer:
The diameter of the circle is 19 m
Step-by-step explanation:
The formula of the area of a circle is A = π r², where r is its radius
<em>To find the diameter from the area of the circle equate the formula of the area by the value of the area to find r, then multiply r by 2 because the diameter of a circle is equal twice its radius</em>
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∵ The area of the circle is 90.25 π m²
∵ A = π r²
- Equate A by 90.25 π
∴ π r² = 90.25 π
- Divide both sides by π
∴ r² = 90.25
- Take √ for both sides
∴ r = 9.5
∵ The diameter of a circle is twice its radius
∴ d = 2 r
- Substitute r by 9.5
∴ d = 2(9.5)
∴ d = 19
The diameter of the circle is 19 m
Answer:
P>7
Step-by-step explanation:
1) Subtract 6 from both sides.
5p>41-6
2) Simplify 41-6 to 35.
5p>35
3) Divide both sides by 5.
p>35/5
4) Simplify 35/5 to 7.
p>7
Answer: The required time is 0.743.
Step-by-step explanation:
Since we have given that
We need to find the time above which is 68% of the cameras have to be reset.
So, exponential distribution would be
So, it becomes,
Hence, the required time is 0.743.
Answer:
B. 1/384
Step-by-step explanation:
a1=1/3
a2 = 1/6
The constant factor is 1/2
a1=2/3*1/2
a2=2/3*1/2^2
a8=2/3*(1/2)^8
2/3*1/256
