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3 years ago

5

A Metal rod is 7/8 m long it will be cut into pieces that are each 1/56 meters long how many pieces will be made from the road ?

1 answer:

Katen [24]3 years ago

7 0

Namely, how many times does 1/56 go into 7/8? well, let's check

$\bf \cfrac{\quad \frac{7}{8}\quad }{\frac{1}{56}}\implies \cfrac{7}{8}\cdot \cfrac{56}{1}\implies \cfrac{7}{\underline{8}}\cdot \cfrac{\underline{8}\cdot 7}{1}\implies \cfrac{49}{1}\implies 49$

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The high temperature one day was 30°F. Then

expeople1 [14]

Yes because when you subtract a number, you can also say that you added a negative. So if it dropped 23 degrees, then you also added -23 degrees

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3 years ago

Convert the following into fractions in their simplest form

sladkih [1.3K]

Answer:

1/10

13/100

4/5

12/25

3/10

63/100

3/5

51/200

2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... = 2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

100x - x = 99x = 45

x = 45/99 = 5/11

3 0

2 years ago

8.798 round it to the nearest hundredth

FinnZ [79.3K]

Answer:

8.80

Step-by-step explanation:

When rounding up and you are stuck with nine

You can't say 8.710

Your simply add one to the number before it

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7 0

3 years ago

He coordinates of the vertices of a polygon are (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0, −2) .

Nitella [24]

Answer: The perimeter is 17.52

Step-by-step explanation:

1. You can plot the points, as you can see in the graph attached.

2. As you can see in the graph, the points are:

$A(-2,-2)\\B(-2,3)\\C(2,4)\\D(3,1)\\E(0,-2)$

And the lenghts <em>AB</em> and <em>EA</em> are:

$AB=5$

$EA=2$

3. To find the other lenghts, you can apply the formula for calculate the distance between two points:

$distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

4. Thefore, you have:

$BC=\sqrt{(2-(-2))^{2}+(4-3)^{2}}=4.12\\CD=\sqrt{(2-3)^{2}+(4-1)^{2}}=3.16\\DE=\sqrt{(3-0)^{2}+(1-(-2))^{2}}=4.24$

5. The perimeter is:

$P=AB+CD+DE+EA\\P=5+4.12+3.16+4.24+2\\P=17.52$

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3 years ago

Evaluate the indefinite integral. (Use C for the constant of integration.) <br> ex 5 ex dx.

melisa1 [442]

Answer:

$5 e^{x} +C$

where C is constant of integration

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given f(x) = 5 eˣ</em>

Now integrating with respective to 'x' , we get

I = $\int\limits {5 e^{x} } \, d x$

<em> By using integration formula</em>

$\int\limits { e^{x} } \, d x = e^{x} +C$

$I = \int\limits {5 e^{x} } \, d x = 5 e^{x} +C$

<em>where C is constant of integration</em>

8 0

3 years ago