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1 year ago

An orange cone has a exact volume of 120π ft³. What is the height of the cone if the radius is 6ft?

Mathematics

1 answer:

Ber [7]1 year ago

4 0

Answer:

10 ft

Step-by-step explanation:

Given:

Radius ⇒ 6 feet
Formula of cone ⇒ V = 1/3πr²h

Plug in the values given:

120π=1/3π(6²)h

Cancel π from both sides and simplify:

120 = 1/3 36h
120 = 12h

Answer:

Height = 10

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Find the solution set. |x| = -4 A. { } B. {-2, 2} C. {-4, 4} D. {-16, 16}

Ray Of Light [21]

Answer:

A. { }

Step-by-step explanation:

Absolute value cannot be less than zero.

-4 < 0

There is no solution for x, ∈, R.

Hope this helps.

6 0

2 years ago

Which of the following are congruence transformations? Check all that apply.. A. Translating. B. Reflecting. C. Rotating. D. Shr

Temka [501]

Congruence transformations are:
A ) Translating,
B ) Reflecting,
C ) Rotating.

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2 years ago

At the building site there are 16 pallets with sacks of cement the total weight of all the pallets and cement is 4856 pounds eac

inysia [295]

The first thing we must do for this case is to define a variable.
We have then:
x: weight of each pallet with cement
We then have the following equation:
16x = 4856
Clearing x we have:
x = (4856) / (16)
x = 303.5 punds
Answer:
each pallet with cement weigh:
x = 303.5 punds

6 0

2 years ago

MATH HELP!!! 100PTS!!!

Lostsunrise [7]

Answer:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Step-by-step explanation:

Given functions:

$p(x)=2x-4$

$r(x)=\dfrac{6x-1}{9x+1}$

Solve for p(x) = r(x):

$\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}$

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=18, \quad b=-40, \quad c=-3$

Substitute the values of a, b and c into the quadratic formula and solve for x:

$\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}$

Therefore, the solutions are:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Learn more about quadratic equations here:

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brainly.com/question/27739892

6 0

1 year ago

$700 at 8% for 6 years is...?

uranmaximum [27]

So if it is simple interest then
700+6 times (8% of 700)=answer

percent means partsout of 100
8%=8/100=0.08
'of' means mutily
700+6 times (0.08 times 700)=700+6 times (0.56)= 700+3.36=703.36
answer is $703.36

3 0

2 years ago