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3 years ago

If the length of a rectangle is 120 m and the diagonal measures 130 m what is the perimeter and area of the rectangle

Mathematics

1 answer:

Leviafan [203]3 years ago

5 0

Answer:

Step-by-step explanation:

width=√(130²-120²)=√[10²(13²-12²)]=10√(13+12)(13-12)=10√(1×25)=10×5=50 m

perimeter=2(120+50)=2×170=340 m

area=120×50=6000 m²

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)

malfutka [58]

Answer:

The magnitude is $\Delta f(0,8) = 72$

The direction is $i$ i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

The function is $f(x, y) = 9sin(xy) \ \ \$

The point considered is $(0,8 )$

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

$\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]$

$\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]$

$\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]$

At $(0,8 )$

$\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]$

$\Delta f (0,8) = 72 i$

3 0

3 years ago

An earthquake with a rating of 3.3 is not

stiks02 [169]

Answer:

1995.26

Step-by-step explanation:

It usually works to follow instructions:

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4 years ago

A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

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