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3 years ago

Hey guys could someone help me out with this?

Mathematics

1 answer:

Natalka [10]3 years ago

7 0

Answer:

3.33km

Step-by-step explanation:

Multiply 12 by 5

=60

60km^2 is one layer of 12x5km, so every 60 square kilometers is one layer.

Keep adding layers until you're as close as can be to 200.

You'll end up with 3 layers and 20 more square kilometers.

20 is one-third of 60, so your answer is 3 1/3, or 3.33km^2

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2 years ago

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2 years ago

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

2 years ago

Geometry help please

lina2011 [118]

Hello!

The equation to find the volume of a cone is

$\pi r^{2} \frac{h}{3}$

r is radius
h is height

Put in the values we know

$3.14 * 9^{2} * \frac{4}{3}$

Square the number

$3.14 * 81 * \frac{4}{3}$

multiply 81 by 3.14

$254.34 * \frac{4}{3}$

Multiply

339.12

The answer is 339.1 cubic inches

Hope this helps!

7 0

3 years ago