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3 years ago

Can someone please help me please ?????

Mathematics

1 answer:

KiRa [710]3 years ago

5 0

Use the Pythagorean theorem. a^2+b^2=c^2

16^2+31^2=x^2

Then take the square root. You cannot do this theorem without squaring all of the numbers and taking the square root.

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A bourse travels 270 miles in 30 hours what is it’s speed

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Answer:

9 miles per hour

Step-by-step explanation:

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3 years ago

The perimeters of two similar figures are 15 in. and 24 in. What is the ratio of the areas of the two figures? State your answer

kkurt [141]

Answer:

25/64

Step-by-step explanation:

ratio of perimeters = 15/24 = 5/8

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ratio of areas = (5/8)^2 = 25/64

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3 years ago

Evaluate f(4)<br> f(x) = 3x + 4

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3 years ago

Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a

salantis [7]

Answer:

$A = 640000\,yd^{2}$

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

$A (x,y) = x\cdot y$

$3200\,yd = 2\cdot (x+y)$

After some algebraic manipulation, area expression can be reduce to an one-variable form:

$y = 1600 -x$

$A (x) = x\cdot (1600-x)$

The first derivative of the previous equation is:

$\frac{dA}{dx}= 1600-2\cdot x$

Let the expression be equalized to zero:

$1600-2\cdot x=0$

$x = 800$

The second derivative is:

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

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

$y = 800$

The maximum area is:

$A = (800\,yd)\cdot (800\,yd)$

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