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4 years ago

Helppp!!!! please!!!

Mathematics

1 answer:

Anna007 [38]4 years ago

7 0

Answer:

608 ft^2

Step-by-step explanation:

The formula for calculating surface area of a triangular prism is

bh + 2ls + lb (b : base, h : height, l : length)

12×8 + 2×16×10 + 16×12 = 608 ft^2

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Cubes are three-dimensional square shapes that have equal sides. What is the density of a cube that has a mass of 12.6 g and a m

Ymorist [56]

D = m / V
m = 1.26 g 
V = s^3 = 4.1^3 = 68.921 cm^3 
so 
D = 12.6 / 68.921 = 0.1828 g/cm^3 
and this corresponds to choice (a)

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3 years ago

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Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

$\frac{3^{n+4} - 3^n}{16}$

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

$\frac{3^{n+4} - 3^n}{16}$ becomes

$\frac{3^n * 3^4 - 3^n}{16}$

Factorize

$\frac{3^n(3^4 - 1)}{16}$

$\frac{3^n(81 - 1)}{16}$

$\frac{3^n(80)}{16}$

3ⁿ * 5

5(3ⁿ)

The expression can not be further simplified.

However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.

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3 years ago

Which is the order of rotational symmetry for a rhombus

Dennis_Churaev [7]

Answer:

Order 2.

Step-by-step explanation:

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3 years ago

# 18 What is 5.6 less than 14.52

kramer

Answer:

8.92

Step-by-step explanation:

14.52 - 5.6 =

less than means subtract

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Akeem is carrying water in a bucket, but is unsure how many gallons it holds. He knows that the bucket and water weigh 32.49 pou

bixtya [17]

Answer:

Step-by-step explanation:

8.3g+2.61=32.49

8.3g=29.88

g=3.6

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