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3 years ago

Roberto wants to display his 18 sports cards in an album . Some pages hold 2 cards and others hold 3 cards .

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.

2a + 3b =18

Ricardo can fill up 9 2-card pages, and 6 3-card pages.

a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

a=6, b=2

Add 2 to b once more:

a=3, b=4

One more time:

a=0, b=6:

Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

a=3, b=4

a=0, b=6

Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses.

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A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?

nirvana33 [79]

Answer:

$Area = 26478cm^2$

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

$Area = \frac{\pi r^2}{2}$

Where

$r = 60cm$

So:

$A_1 = \frac{3.14 * 60^2}{2}$

$A_1 = \frac{11304}{2}$

$A_1 = 5652cm^2$

Next, the area of the complete trapezium

$Area= \frac{1}{2}(a + b) * h$

Where

$a = 300$

$b = 2 * r = 2 * 60 = 120$

$h = 153$

So:

$A_2 = \frac{1}{2} * (300 + 120) * 153$

$A_2 = \frac{1}{2} * 420 * 153$

$A_2 = 32130cm^2$

The area of the desk is:

$Area = A_2 - A_1$

$Area = 32130cm^2 - 5652cm^2$

$Area = 26478cm^2$

8 0

3 years ago

If the angle of a sector measures 60°, what fraction of the circle is the sector?

maks197457 [2]

The angle of the sector is also equal to the arc measure of the circle. This is because a sector is made up of two radii of a circle.

A circle is 360 degrees.

60 / 360 = 1/6

The sector is 1/6 of the circle.

Hope this helps!! :)

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3 years ago

3. Merrick walked 5.5 miles to his friend's house. He left his house at 9 a.m. and arrived at his friend's

Delicious77 [7]

Answer:

B. 2.75 mph

Step-by-step explanation:

If it took him 2 hours to walk 5.5 miles, 5.5 ÷ 2 = 2.75, which is what he walked in a single hour, meaning he was walking 2.75 mph

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Answer:

Step-by-step explanation:

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kotykmax [81]

Answer:

C: The average of the data is a closer to the least value than it is to the greatest value

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