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never [62]
3 years ago
9

the figure below shows two half-circles at the ends of a rectangle with the dimensions shown. which is the closet to the area of

the figure in square inches
Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0
You get 92.56 <span>You add the area of the rectangle to the area of a circle

</span>
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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
4 years ago
Calculate the volume of the cylinder.Round your answer to the nearest hundredth 6cm height and 2cm width
Anvisha [2.4K]
Assuming width=diameter
diameter/2=radius

area=hpir^2

w=d=2
d/2=2/2=1=r
h=6

area=6pi1^2
area=6pi1
area=6pi
aprox pi=3.141592
area=18.85 cm³


5 0
3 years ago
Read 2 more answers
15 cm<br> 16.6 cm<br> area<br> cm2
Ymorist [56]

Answer:

357.1573 (If you don't round)

Step-by-step explanation:

To find area of a rectangle is to multiply length by width, which in this situation would be 15 by 16.6, which is equal to 249. Next, we need to add this to the area of the semicircle. The area of a semicircle is equal to 1/2 * pi * radius^2 (Because a semicircle is half a circle and a circle's area is pi * radius^2). The radius is equal to half the diameter, which in this case is 16.6. 16.6/2 = 8.3, so the radius is 8.3. If we plug this into the equation, we get that 108.1573 is the area of the circle (If you use 3.14 as pi). 108.1573 + 249 is equal to 357.1573.

7 0
3 years ago
HELP PLZ AND I WILL GIVE U BRAINLIEST
arsen [322]

Answer:

Step-by-step explanation:

1. A

2. 6/10; 1/10

5's are in 10

6/10

8 0
3 years ago
Read 2 more answers
Find m a 24.7<br> b 79.2<br> c 68.3<br> d 57.4<br> e 46.5<br> f 80.1<br> g 35.6
kogti [31]

Answer:

68.3 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan I = opp side / adj side

tan I = sqrt(82) / sqrt(13)

tan I = sqrt(82/13)

Taking the inverse tan of each side

tan ^-1 ( tan I) = tan ^-1( sqrt(82/13))

I = 68.2892

Rounding to the nearest tenth

I = 68.3 degrees

8 0
3 years ago
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