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cupoosta [38]
3 years ago
6

What value of x will make this expression equal to 28.1? A) x=0 is the only value that will make the expression equal to 28.1 B)

x=1 is the only value that will make the expression equal to 28.1 C)The expression will equal 28.1 when x=−3.44 D)Any value of x, except when x=−3.44, will make the expression equal to 28.1

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

Any value except -3.44 will make the equation equal to 28.1

Step-by-step explanation:

We are told to multiply the quotient of the fraction by 28.1 to make 28.1. So, it is obvious that the fraction has to simplified to a one. This is possible with any number as whatever the value of x, the numerator and denominator will be equal. But, in the case of -3.44, it will make 5e fraction 0/0, which is undefined and never equal to 1.

I hope this helps

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall
Katen [24]

Answer:

The volume of the toy is V=5.23\ ft^3

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

V=\frac{2}{3}\pi r^{3}

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

D=2\ ft

r=2/2=1\ ft ----> the radius is half the diameter

substitute

V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3

step 2

Find the volume of the cone

The volume of the cone is given by

V=\frac{1}{3}\pi r^{2}h

we know that

The radius of the cone is the same that the radius of the hemisphere

so

r=1\ ft

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

h=4-1=3\ ft

substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

V=(\frac{2}{3} \pi+\pi)\ ft^3

V=(\frac{5}{3}\pi)\ ft^3

assume

\pi=3.14

V=\frac{5}{3}(3.14)=5.23\ ft^3

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3 years ago
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