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nikdorinn [45]
2 years ago
14

A cylindrical basket has a volume of 15 cubic feet. If the height of the basket is 1.5 feet, what is the area of the base of the

basket?
Round to the nearest tenth if necessary.

No label is required.
Mathematics
1 answer:
Eddi Din [679]2 years ago
7 0

Answer:

10 ft²

Step-by-step explanation:

Recall that the volume of a uniform cylinder may be defined by the formula:

Volume = Base Area x Height

In our case we are given

Volume = 15 ft³ and Base Area = 1.5 ft

Substituting these known values into the formula gives:

Volume = Base Area x Height

15 = Base Area x 1.5

Base Area = 15 / 1.5

Base Area = 10 ft²

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3)the line G & H are parallel
4) Parallel line theorem is what I do believe it's called (do you have choices for this one?)
6 0
3 years ago
A circle's circumference is approximately 44 cm.
Sav [38]
<h3>Answers</h3><h3>diameter = 14</h3><h3>radius = 7</h3><h3>area = 154</h3>

these are all approximate

======================================

Explanation:

C = pi*d is the formula for the circumference. We know that C = 44 approximately, so,

C = pi*d

d = C/pi

d = 44/3.14

d = 14.01 approximately

d = 14 also approximate

take half of this to get the radius

r = d/2 = 14/2 = 7

Then use this radius to find the circle's area

A = pi*r^2

A = 3.14*7^2

A = 153.86

A = 154  rounding to the nearest whole number

7 0
3 years ago
Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?
AlekseyPX

Answer:2(x+1/2x)+3=105

Step-by-step explanation: that is how i got my answer. If not a similar answer i would go with 2x+3=3x+105.

You can automatically eliminate the first answer. The second one has a random 5, so eliminated. and the last one just isn't correct.

7 0
2 years ago
Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
3 years ago
In math class the girl to boy ratio is 8 to 6 if there are 24 girls in the class , how many boys are there ?
Volgvan

Answer:  The required number of boys in the class is 18.

Step-by-step explanation: Given that in math class, the girl to boy ratio is 8 to 6 and there are 24 girls in the class.

We are to find the number of boys in the class.

Let 8x and 6x represents the number of girls and boys in the class.

Then, according to the given information, we have

8x=24\\\\\Rightarrow x=\dfrac{24}{8}\\\\\Rightarrow x=3.

Therefore, the number of boys in the class is given by

6x=6\times3=18.

Thus, the required number of boys in the class is 18.

7 0
3 years ago
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