4 years ago

What is the area of the composite figure shown?

Mathematics

1 answer:

Arlecino [84]4 years ago

8 0

Answer:

the area is 55.2m

Step-by-step explanation:

a= 24m b= 1.8*3.5=6.3m c=24.9m

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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 $(0,8 )$

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

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

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3 years ago

Solve the inequality<br> 3 + 9x >4(x+7)<br> pls help

alexandr402 [8]

Answer:

x<5

Step-by-step explanation:

the greater sign will firstly be changed to = for better solving so we obtain

3+9x=4(x+7)by opening bracket

3+9x=4x+28

9x-4x=28-3

5x=25

divide all through by 5x

we obtain

x=5

the greater sign change here

which is x<5

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3 years ago

The area of a circle is 100 Pi inches squared what is the circumference in inches

ololo11 [35]

100 x 3.14 = 3140 inches

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Kevin ran for less than 5 miles<br><br> writ an inequality for each sentence.

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$k \leq 5$
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Given the equation, y= 1/3 x - 4. what is the slope and the y-intercept?

tamaranim1 [39]

Answer:

The slope (m) = 1/3 and the y-intercept (b) = -4

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3 years ago