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3 years ago

I need help ASAP, please save me.

Mathematics

1 answer:

Natalka [10]3 years ago

3 0

°Answer:

Angle XZY is an inscribed angle, so it's equal to the sum of arcs VW and XY, divided by two. These measures are given. So XZY= (63+59)/2

XZY = 61°

Arc BA is an arc involved with an exterior angle. Its measure is equal a number minus 36, divided by two. That number is 144. Arc AB= 144°

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3 years ago

What are the dimensions of a rectangular wall that can be constructed with 400 feet of brick that will maximize the area enclose

ollegr [7]

Answer:

The dimensions of the wall are 100 ft x 100 ft

Step-by-step explanation:

we know that

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$P=2(x+y)$

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y is the width

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$400=2(x+y)$

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$200=x+y$

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substitute equation A in equation B

$A=x(200-x)\\A=-x^2+200x$

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)

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Convert the quadratic equation in vertex form

$A=-x^2+200x$

Factor -1

$A=-(x^2-200x)$

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$A=-(x^2-200x+100^2)+100^2$

$A=-(x^2-200x+10,000)+10,000$

Rewrite as perfect squares

$A=-(x-100)^2+10,000$ ----> equation in vertex form

The vertex is the point (100,10,000)

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$x=100\ ft$

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