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tatyana61 [14]
3 years ago
5

One of the diagonals of a rhombus is thrice as the other. The area of the rhombus is 54 sq.Cm. The sum of the length of the diag

onals.
Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0

Answer:

Step-by-step explanation:

let one diagonal=x

other diagonal=3x

area=1/2 (x±3x)=3/2 x²=54

x²=54×3/2=81

x=9 cm  

3x=3×9=27

sum of diagonals=x+3x=4x=4×9=36 cm

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Answer:

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

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Equation of a circle with center (h,k) and radius 'r' is given as:

(x-h)^2+(y-k)^2=r^2

Here, (h,k)=(5,-4)

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

r^2=(h-x_1)^2+(k-y_1)^2

Using distance formula for the points (5, -4) and (-3, 2), we get

r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100

Now, rewriting it in the form asked in the question, we get

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

4 0
4 years ago
PLEASE HELP, WILL MARK BRAINLIEST - Jessie graphed one of the lines in a system of equations: y=3x-2. If the system has an infin
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3 years ago
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A right Circular cylinder has a height of 19 3/4 ft and a diameter 1 2/5 times its height . What is the volume of the cylinder?
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</span> </span>




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4 years ago
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Answer:

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But now you're left with...

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Now you're left with

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