Answer:
The correct answer is third option
√5/(x²y)
Step-by-step explanation:
It is given an expression,√(55x⁷y⁶/11x¹¹y⁸)
Points to remember
Identities
xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ)
x⁻ⁿ = x¹/ⁿ
<u>To find the equivalent expression</u>
We have, √(55x⁷y⁶/11x¹¹y⁸)
By using above identity we can write,
√(55x⁷y⁶/11x¹¹y⁸) = √[(55/11) (x⁷/x¹¹) (y⁶/y⁸)]
= √[5x⁷⁻¹¹ y⁶⁻⁸]
= √[5x⁻⁴ y⁻²]
= √[5/x⁴y²]
= √5/(x²y)
Therefore the correct answer is third option
√5/(x²y)
We know that
[total trail]=(3/4)*2------> 6/4---------> (3/2) miles
<span>[fraction of a mile that katenka did]=(2/3)*(3/2)------> 1 mile
the answer is 1 mile</span>
Answer:
height = 4 meters
h = 2A / ( a + b )
Step-by-step explanation:
Let A represent the area of the trapezoid, h, the height a, the length of one base and b, the length of the other base
Area of a trapezoid, A = ( a + b)* h / 2
Now let's slot in the given values
A= 18 sq meters
a = 3 meters
b = 6 meters
we have;
18 = ( 3 + 6 ) * h /2
18 = 9 * h /2
Cross multiply
18*2 = 9h
36 = 9h
divide both sides by the coefficient of h (9)
4 = h
therefore, h = 4 meters
To solve for h without substituting
From A = ( a + b )* h /2
cross multiply
2*A = ( a + b )* h
divide both sides by ( a + b )
2A / ( a + b ) = h
therefore,
h = 2A / ( a + b )
Answer:
13 is c
Step-by-step explanation:
to find the length of a diagonal, pretend as if you are finding the hypotenuse of a triangle.
5^2 + 12^2 = c^2
25 + 144 = 169
the square root of 169 is 13
