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pantera1 [17]
3 years ago
6

Two identical square pyramids were joined at their bases to form the composite figure below.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

Step-by-step explanation:

The given options are

A. 8 (one-half (24) (5))

B. 8 (one-half (24) (13))

C. (24) (24) + 8 (one-half (24) (5))

D. (24) (24) + 8 (one-half (24) (13))

We, should know that, the base area is covered and it cannot be seen, so the shape does not have a physical base area.

Then,

We need to find the area of the 8 sides triangle that formed the pyramid

Area of a triangle is ½base × height

But for a pyramid the height is the slant height

Then, the eight triangles are identical

Then, the area of the eight triangles is

A = 8 × ½ base × slant height

From the diagram,

The base length is 24cm

And the slant height is 13cm

Then,

A = 8 × ½ b × l

A = 8 × one-half × 24 × 13

A = 8(one-half)(24)(13) cm²

So, the correct answer is B

Numeral value

A = 8 × ½ × 24 × 13

A = 1248 cm²

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Answer:

A. $7.17

Step-by-step explanation:

We have been given that a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nT} where,

A = Final amount after T years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Periods of compounding,

T = Time in years.

Let us multiply our given rate by 12 to get APR and convert it in decimal form.

APR=12\times 1.5\%

APR=18\%

18\%=\frac{18}{100}=0.18

Since 1 year equals 12 months, so 1 month will be 1/12 year.  

Upon substituting our given values in above formula we will get,

A=477.95(1+\frac{0.18}{12})^{12\times\frac{1}{12}}

A=477.95(1+0.015)^{1}

A=477.95(1.015)

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Now let us subtract principal amount from the final amount to get the monthly interest charge at the end of 1st month.

\text{The monthly interest charge be at the end of the first month}=485.11925-477.95

\text{The monthly interest charge be at the end of the first month}=7.16925\approx 7.17

Therefore, the monthly interest charge be at the end of the first month will be $7.17 and option A is the correct choice.

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Step-by-step explanation:

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Answer:

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