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2 years ago

the diagram shows a regular dodecagon. a) work out the size of one interior angle. b) work out the size of one exterior angle.

Mathematics

1 answer:

erik [133]2 years ago

7 0

Answer: Interior angle: 150 degrees Exterior angle: 30 degrees

Step-by-step explanation:

We use the angle formula to find the value of an interior angle: 180*(12-2)/12 = 150 degrees. Since an exterior angle is the supplement of an interior angle, the measure of an exterior angle is 180 - 150 = 30 degrees

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A sea turtle is 3 feet below the surface of the sea. If its position can be recorded as −3 feet, what would the position 0 repre

ArbitrLikvidat [17]

The turtle is 3 feet below the surface of the sea, if it rises 3 feet, it will be even with sea level. So, 0 can be represented as sea level.

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2 years ago

Choose 5 ordered pairs whose first component is the additive inverse of the second component. Plot these points and connect them

Lerok [7]

Let ordered pairs
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-2 2
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The figure is in the second quadrant. (See graphic)

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2 years ago

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The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time

Montano1993 [528]

The maximum occurs when the derivative of the function is equal to zero.
$P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3} \\ t=4.76702$
Then evaluate the function for that time to find the maximum population.
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Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.

7 0

2 years ago

Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri

Naddik [55]

Answer:

d(4)=?

where

d= distance

t= hours

In this Linear function given by the law d(t) = 12t +20 and the graph below. To find the d(4), means to find out how many miles she cycled in the instant 4 hours.

By this function, after a break , the instant t=0, she had already cycled 20 miles.

Let's calculate

d(4) = 12(4) +20

d(4) =48+20

d(4)= 68 miles

Step-by-step explanation:

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2 years ago

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nadia was offered a job for selling ads cor a magazine. She must agree to one of the following paymen options. CHOICE A:$110 for

Fittoniya [83]

Let us say that:

x = is the number of ads that Nadia sold every week

P = payment or amount that she receives every week

So the equations we can formulate for choice A and B are:

choice A: P = 110 x

choice B: P = 150 + 85 x

The amount that she receives for A must be greater than she receives for choice B, so:

110 x > 150 + 85 x (inequality equation)

Calculate for x:

110 x – 85 x > 150

25 x > 150

x > 6

Therefore Nadia must sell more than 6 ads every week so that Choice A would be the better choice.

6 0

2 years ago