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2 years ago

The angles of a hexagon are each a° and each of the others is 1/2 times a°. Find the angles

Mathematics

1 answer:

a_sh-v [17]2 years ago

4 0

Answer:

this question is weirdly worded. i think you meant to type "three angles of a hexagon....." I'll do my best.

Step-by-step explanation:

sum of angles in a polygon: (n-2) 180° where n=#of sides of the polygon

(6-2) 180°

(4) 180°

720°

1a + 1a + 1a + 0.5a + 0.5a + 0.5a = 720°

4.5a = 720°

a = 720°/4.5

a = 160

0.5a = 80

Check

3(160) + 3(80)

480 + 240 = 720

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3 years ago

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3 years ago

A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$

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3 years ago