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2 years ago

What is the length of arc AB? Round your answer to the nearest hundredth

Mathematics

1 answer:

Scrat [10]2 years ago

7 0

Answer:

AB = 8.4

Step-by-step explanation:

the Pythagorean therm

find the square root of 6(squared + 6(squared) = 8.4

Radius = 6 so the other side is the same

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A container of coffee is 1/6 full. That container contains 2/3 of a pound of coffee write a division expression that represents

Marizza181 [45]

Let us assume total capacity of the container = x pounds.

Container contains 1/6th coffee of total x pounds, that is x/6 pounds.

We also given that 1/6th part is equal to 2/3 of a pound.

So, we could setup an equation now.

x/6 pounds equals 2/3 of a pound.

$\frac{x}{6} = \frac{2}{3}$

Dividing both sides by 1/6, we get

$\frac{x}{6}$ ÷ $\frac{1}{6}$ = $\frac{2}{3}$ ÷ $\frac{1}{6}$ .

Therefore, x = $\frac{2}{3}$ ÷ $\frac{1}{6}$

Division expression that represents the capacity of the container = 2/3 ÷ 1/6.

4 0

3 years ago

4x ≥ 12 What does it mean?

Pepsi [2]

Answer:

X = 3 or higher

Step-by-step explanation:

hope it helps, let me know if it doesn't :)

5 0

3 years ago

Read 2 more answers

An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range? 0 to StartFraction pi Over

barxatty [35]

Answer:

0 to StartFraction pi Over 2

Step-by-step explanation:

we know that

If the arc on a circle measures 85 degrees, then the measure of the central angle is also 85 degrees too

The central angle in degrees is within the range $(0,90^o)$

Convert to radians

Remember that

$\frac{\pi}{2}\ radians=90^o$

therefore

the range in radians is $(0,\frac{\pi}{2})$

0 to StartFraction pi Over 2

3 0

4 years ago

Read 2 more answers

The events committee buys 80 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation c

Slav-nsk [51]

Answer:

64 carnations and 16 roses.

Step-by-step explanation:

The events committee buys 80 flowers

The flowers are a combination of carnations and roses.

Each carnation costs $0.50 and each rose costs $2.50

The committee spends a total of $72

<u>Solution:</u>

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Let there be (c) carnations and (r) roses.

So,

c + r = 80 flowers

and $0.50c + $2.50 = $72

This forms a simultaneous equation:

c + r = 80 ... (i)

0.5c + 2.5r = 72 ... (ii)

Multiplying equation (i) by 0.5 and equation (ii) by 1 gives;

0.5c + 0.5r = 40 ... (i)

0.5c + 2.5r = 72 ... (ii)

Subtracting (i) from (ii) gives;

0c + 2r = 32

2r = 32

r = 32 ÷ 2 = 16

Therefore, there are 16 roses

and 80 - 16 = 64 carnations

7 0

3 years ago

A large brine tank containing a solution of salt and water is being diluted with fresh water.

kirza4 [7]

Answer:

41.04 g/L

Step-by-step explanation:

The relationship is modeled by the following function:

S(t) = 500*e^(-0.25*t)

where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of salt in the tank (in g/L)

Replacing with t = 10

S(t) = 500*e^(-0.25*10)

S(t) = 41.04 g/L

6 0

3 years ago