If we convert the given in its mathematical form, we have,
(30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².
((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)
Cancellation of the common terms will give us an answer of,
<em>5x²/2y³
</em><em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
Given :
Center of circle, C = ( 1 , 5 )
Point on circle, P = ( 5 , 1 )
To Find :
The radius of a circle.
Solution :
We know, radius of circle is the distance between center and point of circle.
Distance between two points A(p,q) and B(r,s) is given by :
So, distance between the points (1, 5) and (5, 1) is :
Therefore, radius of circle is 5.66 units.
Hence, this is the required solution.
9514 1404 393
Answer:
4. height: 5√3 cm; area: 25√3 cm²
5. 30√2 ft ≈ 42.43 ft
Step-by-step explanation:
4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...
height = (√3)/2 × (10 cm) = 5√3 cm
The area is given by the formula ...
A = 1/2bh
A = 1/2(10 cm)(5√3 cm) = 25√3 cm²
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5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...
(30 ft)√2 ≈ 42.43 ft
__
The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.
d = √(30² +30²) = √1800 ≈ 42.43 . . . feet
Answer:
20
Step-by-step explanation:
<u>20 points</u> = <u> 40</u>
50 points 100
Answer:
17
Step-by-step explanation:
3x - 1; x = 6
3x - 1
3(6) - 1
18 - 1 = 17
<u>-TheUnknown</u><u>S</u><u>cientist</u>
