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2 years ago

Explain, using an example, why need to multiply when converting from a larger unit to a smaller unit?

Mathematics

1 answer:

sveta [45]2 years ago

3 0

Answer: Because you need more of a smaller unit to equal a larger unit.

Example:

If you want to convert 5km to meters, there must be more meters than kilometers.

$5km(\frac{1000m}{1km} )=5000m$

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2 years ago

Read 2 more answers

What is the sum of the interior angles of the polygon shown below

DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is

180(n - 2) degrees.

In this case, n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).

7 0

1 year ago

two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour fas

belka [17]

Let the slower runners speed be X kilometers per hour.

Then the faster runners speed would be X+2 kilometers per hour.

The formula for distance is Speed times time.

The distance is given as 30 kilometers and time is given as 3 hours.

Since there are two runners you need to add the both of them together.

The equation becomes 30 = 3x + 3(x+2)

Now solve for x:

30 = 3x + 3(x+2)

Simplify:

30 = 3x + 3x +6

30 = 6x + 6

Subtract 6 from each side:

24 = 6x

Divide both sides by 6:

x = 24/6

x = 4

The slower runner ran at 4 kilometers per hour.

The faster runner ran at 4+2 = 6 kilometers per hour.

3 0

2 years ago

I need step by step answers I don’t understand this

shtirl [24]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept (0, b)

$1.\ \text{Slope is}\ -2\to m=-2,\ \text{y-intercept is}\ -6\to b=-6\\\\\boxed{y=-2x-6}\\\\2.\ \text{Slope is}\ \dfrac{3}{7}\to m=\dfrac{3}{7},\ \text{y-intercept is}\ -1\to b=-1\\\\\boxed{y=\dfrac{3}{7}x-1}\\\\3.\ m=-8,\ b=11\\\\\boxed{y=-8x+11}\\\\4.\ m=0,\ b=-5\\\\\boxed{y=0x-5\to y=-5}\\\\5.\ m=-11,\ \text{y-intercept is}\ (0,\ 13)\to b=13\\\\\boxed{y=-11x+13}$

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2 years ago

Given g(x)=-2x-1g(x)=−2x−1, find g(-4)g(−4)

nydimaria [60]

Answer:

Step-by-step explanation:

4 0

2 years ago