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2 years ago

I need help with Geometry

Mathematics

1 answer:

olga_2 [115]2 years ago

8 0

Answer:

because this is a right triangle, we have''

$\frac{1}{x^{2} }=\frac{1}{36.100}+\frac{1}{64.100}=\frac{1}{2304}\\\\=>x^{2}=2304\\\\ =>x=48$

Step-by-step explanatio

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Find the area of the shaded polygons:

tigry1 [53]

Answer:

Step-by-step explanation:

Purple: This makes two trapezoids. A=(a+b)/2 times h

1st = (4+1)/2 x 1 = 2.5

2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5

Total = 2.5+7.5=10

Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh

1st = 1/2x2x2 = 2

2nd = 1/2x2x2 = 2

Total = 2+2=4

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2 years ago

Equation: (y+12)/(-4)=5<br> What is y?

zlopas [31]

The answer is y= -32

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2 years ago

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Determine the maximized area of a rectangle that has a perimeter equal to 56m by creating and solving a quadratic equation. What

sveticcg [70]

Answer:

Area of rectangle = $196\,m^2$

Length of rectangle = 14 m

Width of rectangle = 14 m

Step-by-step explanation:

Given:

Perimeter of rectangle is 56 m

To find: the maximized area of a rectangle and the length and width

Solution:

A function $y=f(x)$ has a point of maxima at $x=x_0$ if $f''(x_0)$

Let x, y denotes length and width of the rectangle.

Perimeter of rectangle = 2( length + width )

$=2(x+y)$

Also, perimeter of rectangle is equal to 56 m.

So,

$56=2(x+y)\\x+y=28\\y=28-x$

Let A denotes area of rectangle.

A = length × width

$A=xy\\=x(28-x)\\=28x-x^2$

Differentiate with respect to x

$\frac{dA}{dx}=28-2x$

Put $\frac{dA}{dx}=0$

$28-2x=0\\2x=28\\x=14$

Also,

$\frac{d^2A}{dx^2}=-2$

At x = 14, $\frac{d^2A}{dx^2}=-2$

So, x = 14 is a point of maxima

So,

$y=28-x=28-14=14$

Area of rectangle:

$A=xy=14(14)=196\,m^2$

Length of rectangle = 14 m

Width of rectangle = 14 m

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2 years ago

Please Help Me with Q4!!

kondaur [170]

Answer:

0,-3

Step-by-step explanation:

It is where the lines intersect!

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2 years ago

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Jared was traveling at 50 miler per hour. He traveled 140 miles. How long did it take him to get there?

Advocard [28]

Answer:

2,8h (2h and 47 minutes aprox.)

Step-by-step explanation:

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3 years ago