All categories

3 years ago

The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find:

Mathematics

1 answer:

nikitadnepr [17]3 years ago

5 0

Answer:

228 cm²

Step-by-step explanation:

The base of the pyramid is a regular quadrilateral (a square), so there are 4 congruent lateral faces.

The total surface area is therefore:

A = 36 cm² + 4 (48 cm²)

A = 228 cm²

You might be interested in

Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

8 0

3 years ago

A group of friends went to lunch. The bill, before sales tax and tip was $35.55. A sale tax of 6% was added. The group then tipp

Mashcka [7]

I did the math and I think it is $62.20??

4 0

2 years ago

Read 2 more answers

Gerry is looking to buy a new car and finds one she likes for $1,000. The dealership is currently offering 15% off. How much mon

Studentka2010 [4]

D 1000 X .15 = 150.

.15 = 15%

6 0

3 years ago

Read 2 more answers

The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?

cupoosta [38]

The aquarium has 3 more yellow fish than green fish.

60% of the fish are yellow.

To find:

How many green fish are in the aquarium?

Step-by-step explanation:

Let there be x number of fish in the aquarium.

60% of the fish are yellow.

So there are 60x/100 = 3x/5 yellow fish.

Then (100 - 60)% = 40% fish are green.

So there are 40x/100 = 2x/5 green fish.

Given that, there are 3 more yellow fish than green fish

⇒ 3x/5 = 2x/5 + 3

⇒ 3x/5 = (2x + 15)/5

⇒ 3x = 2x + 15

⇒ 3x - 2x = 15

⇒ x = 15

Now, 2x/5 = 2/5 × 15 = 2 × 4 = 6

Answer:

There are 6 green fish in the aquarium.

5 0

2 years ago

Explain how showing fractions with models in a number line are alike and different.

zhenek [66]

Showing fractions with models is giving a visual and sometimes can be easier to process.They also can be in picture form or other.Ex. A piece of pizza cut into fourths.

Showing fractions on a number line is also giving a visual but still allows you to add and subtract using numbers if that makes sense.Ex.
. ----.-------.
1/3 2/3 3/3

3 0

3 years ago

Read 2 more answers