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3 years ago

10

You have a family traveling from far away to come to your house. They travel 342 miles and arrive to your house in 6 hours, how

fast were they traveling

1 answer:

SVEN [57.7K]3 years ago

5 0

Answer:

57 mph

Step-by-step explanation:

342/6=57

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3 years ago

-45 / -5 = <br> plz can you help me

garri49 [273]

It would be 9 buddy. Negative divided by negative turns into positive. 45 divided by 5 is 9.

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I need help with this equation please!<br><br> 15- w/4 = 28

Luda [366]

Answer:

w= -52

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

15-w/4=28

Simplifying:

15-0.25w=28

We move all terms containing w to the left and all other terms to the right.

-0.25w=+28-15

We simplify left and right side of the equation.

-0.25w=+13

We divide both sides of the equation by -0.25 to get w.

w= -52

Hope it Helps :) !!

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3 years ago

4. The mode of the following data set is 15, 16, 17, 23. 11, 19, 20, 15, 18, 22. 15, 19

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3 years ago

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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

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3 years ago