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Elena L [17]
3 years ago
13

A cube has a lateral area of 9 square centimeters. What is the length of each edge of the cube?

Mathematics
2 answers:
worty [1.4K]3 years ago
4 0

the answe on edg is 1.5

miss Akunina [59]3 years ago
3 0
Check the picture below, that'd be a cube, all equal sides so 6 squares really, its lateral or sides section are just the squares at front, back, left, right.

if say, one side is hmm "s" units long, the area of just one square is s*s or s², and the area of those four lateral squares will just be 4(s²), or 4s² then.

now, we know the lateral area is 9 cm², namely 9 = 4s², thus

\bf 9=4s^2\implies \cfrac{9}{4}=s^2\implies \sqrt{\cfrac{9}{4}}=s\implies \cfrac{\sqrt{9}}{\sqrt{4}}=s\implies \cfrac{3}{2}=s

and surely you know how much that is.

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Answer:

UV = 4.5 (not rounded)

TV = 3√3

m∠U = 60˚

Step-by-step explanation:

UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.

sin(30) = 9/UV

9sin(30) = UV

4.5 = UV

TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.

tan(30) = 9/TV

9tan(30) = TV

3√3 = TV

m∠U = Sum of all interior angles of a triangle is 180˚:

90˚ + 30˚ = 120˚

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Hope this helps :)

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3 0
3 years ago
Y = 1000x = _____???
Georgia [21]

Answer:

Simplifying

y = 1000X

Solving

y = 1000X

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Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 1000X

Step-by-step explanation:

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