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3 years ago

The volume of a cylinder is 24 cubic feet. What is the volume of a cone having the same base and same height?

Mathematics

1 answer:

natima [27]3 years ago

3 0

The volume is 8 cubic feet, because the volume of a cone is 1/3 the volume of a cylinder with the same dimensions.

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Is 11 over 128 equal to a terminating decimal or repeating decimal

seropon [69]

Answer:

terminating decimal

Step-by-step explanation:

11 / 128 = 0.0859375

it is terminating because the numbers stop and don't go on forever.

5 0

3 years ago

What is the quotient of -8x∧6 over 4x∧-3 ??

Allushta [10]

Answer:

$-2x^{9}$ is the quotient

Step-by-step explanation:

We have two expression $-8x^6$ and $4x^{-3}$

We need to find quotient of this expression using exponent law.

First we write as quotient form,

$\Rightarrow -\dfrac{8x^6}{4x^{-3}}$

$\Rightarrow -2x^{6-(-3)}$ $(x^m\div x^n=x^{m-n})$

$\Rightarrow -2x^{6+3}$

$\Rightarrow -2x^{9}$

Thus, $-2x^{9}$ is the quotient of $-8x^6$ and $4x^{-3}$ .

8 0

3 years ago

Shawn sells 36 vehicles in 4 weeks. Brett sells 56 vehicles in 7 weeks. Who sells more vehicles per week?

azamat

Answer:

shawn

Step-by-step explanation:

hope this helps

4 0

3 years ago

Read 2 more answers

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

Question 1 : what means to make a fraction as simple as possible? we also call it reducing.

Diano4ka-milaya [45]

This means making the fraction reduced to its lowest term
example=
make the fraction 18xz/4z simpler
the z cancels each other making it remaining 18x/4
2 can go in x as in 18
=9x/2
so the simpler form of the fraction 18xz/4z
=9x/2

4 0

3 years ago