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3 years ago

The rate table shows how many miles Emma can ride her bike at a constant rate.

Mathematics

1 answer:

Semenov [28]3 years ago

6 0

The Table shows a rate of 3 miles per hour. So you would multiply the number of hours times 3.

1 x 3 = 3

2 x 3 = 6

4 x 3 = 12

6 x 3 = 18

Time (hours) Miles

1 3

2 6

4 12

6 18

Hope this helps :)

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If a line with a slope of -2 crosses the y-axis at (0,3). What is the equation of the line?

baherus [9]

It technically would be y=3x-3 in the y=mx+b formula, but it could also be rewritten 3x-y=3. Hope this helps!

3 0

3 years ago

Someone help me with this !!!

charle [14.2K]

Answer:

150°

Step-by-step explanation:

to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n

N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12

I= (12-2)×180/12 which simplifies to 10×180/12

10×180= 1800

1800/12 = 150

so, an individual interior angle of a dodecagon is 150°

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3 years ago

A poster is to have a total area of 125 cm2. There is a margin round the edges of 6 cm at the top and 4 cm at the sides and bott

jeka57 [31]

Answer:

The correct answer is 15 cm.

Step-by-step explanation:

Let the width of the required poster be a cm.

We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.

Similarly total margin combining both the sides is (4+4=) 8 cm.

So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } $cm^{2}$

This area is equal to 125 $cm^{2}$ as per as the given problem.

∴ (a - 10) × (a - 8) = 125

⇒ $a^{2}$ - 18 a +80 -125 =0

⇒ $a^{2}$ - 18 a -45 = 0

⇒ (a-15) (a-3) = 0

By law of trichotomy the possible values of a are 15 and 3.

But a=3 is absurd as a $>$ 4.

Thus the required answer is 15 cm.

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3 years ago

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3 years ago

Install (if you have a computer) and get familiar with Mathematica . Plot a Sin function over a range that is three times the pe

netineya [11]

Answer:

The period of the $\sin$ function is $2\pi$ . Then three times this period is $6\pi$ .

Step-by-step explanation:

Using Mathematica you can use the command Plot as follows:

```

Plot[Sin[x], {x,0,6Pi}]

```

The output is the graph shown below.

3 0

3 years ago