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jeka57 [31]
3 years ago
13

Which conversion factors are used to convert 4km/min to meters per hour?

Mathematics
2 answers:
gladu [14]3 years ago
5 0
I think your answer would be 4,000
zubka84 [21]3 years ago
5 0

Answer:

1000 Meters per Kilometer and 1 Hour per 60 Minute

Step-by-step explanation:

In the given question, we have to convert 4 km per min into meters per hour.

We know that:

There are 1000 meters in a kilometer, therefore we multiply it by 1000.

Also, there are 60 minutes in an hour. Therefore, to convert minutes into hour we divide it by 60.

This can be written as :

\displaystyle\frac{Kilometer\times 1000\text{Meter per Kilometer}}{Minute\times \text{1 Hour per 60 Minute}}

= 60,000 \text{ meters per hour}

Thus,

4 \text{ kilometer per hour} = 60000\times 4\text{ meters per hour}\\= 2,40,000\text{ meters per hour}

Thus, from the options mention below we can use the transformations:

1000 Meters per Kilometer and 1 Hour per 60 Minute.

Although, the other two transformation can be used as well and mean the same. But it is appropriate to use these.

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Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−9^x+1 .
Vinil7 [7]
I'm assuming your function is f(x) = -9^(x+1)
So we just have to plug in and see if the function is true.

1) -9^(0+1) = -9^1 = -9
YES

2) -9^(1+1) = -9^2 = -81
NO

3) -9^(-1+1) = -9^0 = -1
YES
5 0
3 years ago
What is the slope of Y=-2/3 X + 2
Studentka2010 [4]

Answer:

-2/3

Step-by-step explanation:

in y=mx+b, m= the slope

and if you were graphing, you would put 2 on the y axis and use the rise over run strategy for the slope

hope this helped:)

6 0
3 years ago
Find the measure of the exterior Angle1 (I’m a bit confused on how exterior angles work)
sergejj [24]

Answer:

70

Step-by-step explanation:

I would do 40 + 30 = 70

180-70 = 110

110 is the last angle bc all angles add to 180 in a triangle

Then 180 - 110 = 70 for angle 1 because their supplementary

I don't know if you could just add the 2 inside angles but I would do it this way to be safe until I know for sure.

7 0
3 years ago
7<br> Find the AREA of the regular polygon. Il<br> (2 points)<br> 20<br> 18.8<br> 13.68
rodikova [14]

Answer:

Answer is 18.8 please mark me Brainliest

Step-by-step explanation:

3 0
2 years ago
Futhe Mathematics<br><img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2
Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }

We can write the numerator as ,

\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }

Recall the identity ,

\longrightarrow (a-b)(a+b)=a^2-b^2

Using this we have ,

\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}

Again , as we know that ,

\longrightarrow sin^2\phi + cos^2\phi = 1

Therefore we can rewrite it as ,

\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}

Again using the first identity mentioned above ,

\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}

Or else we can also write it using ,

\longrightarrow cos2\phi = cos^2\phi - sin^2\phi

Therefore ,

\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}

And we are done !

\rule{200}{4}

Additional info :-

<em>D</em><em>e</em><em>r</em><em>i</em><em>v</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>o</em><em>f</em><em> </em><em>c</em><em>o</em><em>s</em><em>²</em><em>x</em><em> </em><em>-</em><em> </em><em>s</em><em>i</em><em>n</em><em>²</em><em>x</em><em> </em><em>=</em><em> </em><em>c</em><em>o</em><em>s</em><em>2</em><em>x</em><em> </em><em>:</em><em>-</em>

We can rewrite cos 2x as ,

\longrightarrow cos(x + x )

As we know that ,

\longrightarrow cos(y + z )= cosy.cosz -  siny.sinz

So that ,

\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)

On simplifying,

\longrightarrow cos(x+x) = cos^2x - sin^2x

Hence,

\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}

\rule{200}{4}

7 0
2 years ago
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