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3 years ago

I need help with this ASAP!!

Mathematics

1 answer:

Gwar [14]3 years ago

5 0

Answer:

A) 3; B) 1116 m²; C) 24 m³; D) 1/27

Step-by-step explanation:

A) Scale factor

The scale factor is the ratio of the heights of the two pyramids.

h₂/h₁ = 24/8 = 3

B) Surface area

The ratio of the surface areas is the square of the scale factor.

A₂/A₁ = 3²

A₂/124 = 9

A₂ = 124 × 9 = 1116 m²

The volume of the larger pyramid is 1116 m².

C) Volume

The ratio of the volumes is the cube of the scale factor.

V₂/V₁ = 3³

648/V₁ = 27

648 = 27V₁

V₁ = 648/27 = 24 m³

The volume of the smaller pyramid is 24 m³.

D) Volume ratio

V₁/V₂ = 24/648 = 1/27

The volume ratio is 1/27.

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Step-by-step explanation:

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3 years ago

2 intersecting lines are shown. A line with points M, H, K intersects a line with points L, H, J at point H. 4 angles are create

yulyashka [42]

Answer:

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Step-by-step explanation:

According to the picture attached, we can see the angles formed.

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3 years ago

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use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042

marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

$a_n=a_1+(n-1)d$

where, $a_1$ is first term, d is common difference.

Substitute $a_1=24, d=6 \text{ and }n=500$ in the above formula.

$a_{500}=24+(500-1)(6)$

$a_{500}=24+(499)(6)$

$a_{500}=24+2994$

$a_{500}=3018$

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

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3 years ago

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