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prohojiy [21]
3 years ago
11

A cone with a diameter of 6 centimeters and a height of 8 centimeter is drilled into a wooden cube with sides measuring eight ce

ntimeters, find the volume of the wood that remains?
Mathematics
1 answer:
solong [7]3 years ago
6 0

Volume of cone =3.14×r×r×h

=3.14×3×3×8

=226.1946710585

Volume of wood =L×W×H

=8×8×8

=512

Volume of wood remains=wood-cone

answe =285.8053289415

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Answer:

27 doesn't belongs to this group

Was it helpful?

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7 0
3 years ago
H e l p m e
uysha [10]

Answer Step-by-step explanation:

\huge\boxed{A)-1}

The~average~rate~of~change~of~the~given~quadratic~function~on~the interval~0 ≤ x ≤4 is~the~slope~of~the~secant~line~connecting~the~points~(0,f(0))~and~(4,f(4)).

The~average~rate~of~change~is:

=\frac{f(4)-f(0)}{4-0}

Now,from~the~graph,f(0)~is~0~and~f(4)~is~-4.

We~plug~in~these~values~to~obtain;

=\frac{-4-0}{4-0}

And~then,this~simplifies~to:

=\frac{-4}{4}

which~is~obviously:

=-1

Thus,~the~average~rate~of~change~for~the~given~quadratic~function whose~graph~is~shown~on~0 ≤ x ≤ 4~is~=-1.

3 0
3 years ago
-4x+7 x= -1 evaluate the expression
NeX [460]
Hello luv! So here is how I will evaluate this expression
-4x+7, x=-1 so you are using substitution
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3 0
3 years ago
Find the Missing Angles. (1 2 3 and 4)​
kicyunya [14]

Answer:

1=51°

2=18°

3=123°

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Step-by-step explanation:

3 0
3 years ago
If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

8 0
3 years ago
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