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ikadub [295]
3 years ago
8

How can I get the area of the shaded region?

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Let's work on the triangle first.  The x intercept of 2y=27-3x is

0 = 27 - 3x

3x = 27

x = 9

So A(9,0)

B is the meet of 2y=27-3x and y=3x

2y=27-y

3y=27

y=9

y is the height of OAB; we don't really need x

Area(OAB) = \frac 1 2 (9)(9) = \frac{81}{2} = 40.5

Now we have to subtract

\displaystyle \int_0^9 (3x - x^{\frac 3 2})dx = \frac 3 2 x^2 - \frac 2 5 x^{\frac 5 2} \bigg|_0^9 = \frac 3 2 (9^2) - \frac 2 5 (9^{\frac 5 2}) = \frac{1}{2}(243) - \frac 2 5 (243) = 24.3

Area = 40.5 - 24.3 = 16.2

Answer: 16.2


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Answer:

3, 12, 48, 192, ...

3, 15, 75, 375, ...

2, 10, 50, 250, ...

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3 years ago
The workers in a senate office said that they received about 700 phone calls from
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Answer:

672

Step-by-step explanation:

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2 years ago
Jackson purchases a new car for $48,000. The car's value can be modeled by the
vekshin1

We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the  following exponential function: y = 48000(0.76)^t where y represents the car's  value and t represents time in years. We are asked to find the decay rate as a percentage.

We know that an exponential decay function is in form y=a\cdot (1-r)^x, where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = time.

Upon comparing our given function y = 48000(0.76)^t with standard decay function  y=a\cdot (1-r)^x, we can see that 1-r=0.76.

Let us solve for r.

1-1-r=0.76-1

-r=-0.24

r=0.24

Let us convert 0.24 into percentage.

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Therefore, the decay rate is 24%.

8 0
3 years ago
Which value is the furthest from 0 on the number line?
evablogger [386]

Answer:-21.5

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Find the area of a triangle with a base of 30 cm and a height of 75 cm
vivado [14]
The formula for the area of a triangle is

1/2 b•h

Let’s plug in our values !

1/2 (30•75)

1/2 • 2,250 = ?

2,250/2 = 1,125

The area of the triangle is 1,125 cm^2

I hope I helped !
Can you vote me brainliest, so I can level up? :)
5 0
3 years ago
Read 2 more answers
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