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3 years ago

11

In Ryan's kitchen, there are 15 black tiles and 10 white tiles. What is the ratio (in the simplest form) of white tiles to black

tiles?

1 answer:

zheka24 [161]3 years ago

4 0

Answer: 10:15 Simplified: 2:3

Step-by-step explanation:

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Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a

Zielflug [23.3K]

Answer:

The area of the associated sector is $\frac{25}{24}\pi \ in^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=5\pi\ in$

substitute and solve for r

$5\pi=2\pi r$

$r=2.5\ in$

step 2

Find the area of the circle

we know that

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=2.5\ in$

substitute

$A=\pi (2.5^{2})=6.25\pi\ in^{2}$

step 3

Find the area of the associated sector

we know that

$2\pi\ radians$ subtends the complete circle of area $6.25\pi\ in^{2}$

so

by proportion

Find the area of a sector with a central angle of $\pi/3\ radians$

$\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}$

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3 years ago

If b < 0 and a/b > c/b, then what is the relationship between a and c?

serg [7]

Answer:

a < c

Step-by-step explanation:

<u>Given inequality:</u>

a/b > c/b

<u>Since b is negative, when multiplied by b, the inequality changes to opposite direction:</u>

b(a/b) < b(c/b)
a < c

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3 years ago

What is the measure of the arc represented by the numbers 6 and 11 on a clock face?

Marat540 [252]

150; because 6-11 is almost 180, but it’s not quite there, so it’s a little less

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Setler79 [48]

Hope this is helpful

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2 years ago

Which algebraic property could be used to rewrite 3x ⋅ (7y ⋅ 4) as (3x ⋅ 7y) ⋅ 4?

Reil [10]

Associative property of <span>multiplication</span>

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3 years ago

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