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Monica [59]
3 years ago
12

How are corresponding side lengths of two similar figures related

Mathematics
1 answer:
scoray [572]3 years ago
3 0
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HELP URGENT BRAINLIEST
nadya68 [22]

Given:

LMN is an equilateral triangle.

LM = LN = MN = 12 cm

To find:

The height of the triangle h.

Solution:

In a right angle triangle,

\sin \theta=\dfrac{Opposite}{Hypotenuse}

\sin (60^\circ)=\dfrac{h}{12}

\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}

Multiply both sides by 12.

\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12

6\sqrt{3}=h

Therefore, the height of the triangle is 6\sqrt{3} cm.

3 0
3 years ago
WILL MARK U AS BRAINLIEST PLEASE HELP
adelina 88 [10]

Answer:

782.5inch³

Step-by-step explanation:

The question is on volume of a prism and that of a cylinder

Finding the volume of the prism

V=Bh where B is the base area and h is the height

Base area=14"×14"=196 inch²

height =8"

v=196×8= 1568 in³

Finding volume of the cylinder

v=r²h where r is the radius of cylinder and h is the height of cylinder

r=10/2=5 inches and h=10 inches

v=3.142×5×5×10=785.5inch³

The difference in volume

Difference in volume=1568-785.5=782.5in

5 0
3 years ago
Read 2 more answers
What is the area of a rectangular stage that is 48 feet long and 30 feet wide?
zhannawk [14.2K]

The area of the rectangle is 1,440 cm2.

5 0
3 years ago
Factor 12xy - 36xz<br> a. 12(xy - 3xz)<br> b. 12x(y - 3z)<br> c. -24xyz<br> d. 12(y - 3z)
weqwewe [10]

Answer:

B is the correct answer.

Step-by-step explanation:

12xy - 36xz

12 and x are common factors.

12x(y - 3z)

Hope it helps.

6 0
3 years ago
A fish is 12 Meters below the surface of the ocean. what is it's evelation ​
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A fish is 12 Meters below the surface of the ocean. What is the elevation it is -12
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