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3 years ago

what is the volume of a rectangular prism with a length of 10 inches, width of 12 inches and height of 6 inches

Mathematics

1 answer:

alexdok [17]3 years ago

7 0

The answer would be 720 because you times all sides length times width times height

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6x2 + 14 - 10x

olchik [2.2K]

$\lsrge\text{Hey there!}$

$\mathsf{6x^2 + 14 - 10x}\\\mathsf{= 6(5)^2 + 14 - 10(5)}\\\mathsf{= 6(\bold{25}) + 14 - 10(5)}\\\mathsf{= \bold{150} + 14 - 10(5)}\\\mathsf{= \bold{164} - 10(5)}\\\mathsf{= 164 - \bf 50}\\\mathsf{= \bf 114}\\\\\large\text{Therefore, your answer is: \huge\boxed{\mathsf{Option\ C. 114}}}\huge\checkmark$

$\large\text{Good luck on assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

2 years ago

Read 2 more answers

The vertex form of the equation of

Phoenix [80]

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

6 0

3 years ago

AABC has vertices of A(-2, 2), B(-1, -2), C(-6, 1) and is translated right 7 and up 3.

Sergeu [11.5K]

Answer:

A( 5, 5) B( 6, 1) C( 1, 4)

left and right = x

up and down = y

So for Point A it is -2 + 7 which is 5 and 2 + 3 = 5 so (x,y) = (5,5)

6 0

3 years ago

Read 2 more answers

Prove the following identity sin x(sec x+cscx)= tan x +1

Alexxandr [17]

Answer:

Step-by-step explanation:

________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

$\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}$

$\cos x = \frac{1}{\sec x} \: \:or \: \: \sec x = \frac{1}{\cos x}$

$\tan x = \frac{\sin x}{\cos x}$

________________________________________________________

In the question ,

L.H.S. = $\sin x (\sec x + cosec \: x)$

R.H.S. = $\tan x + 1$

Lets solve L.H.S. first.

$\sin x (\sec x + cosec \: x)$

$=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )$

$=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}$

$=> \tan x + 1$

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = x

kykrilka [37]

$\vec F$ has divergence

$\nabla\cdot\vec F=\dfrac{\partial(xye^z)}{\partial x}+\dfrac{\partial(xy^2z^3)}{\partial y}-\dfrac{\partial(ye^z)}{\partial z}=ye^z+2xyz^3-ye^z=2xyz^3$

By the divergence theorem, the integral of $\vec F$ across $S$ is equal to the integral of $\nabla\cdot\vec F$ over the interior of $S$ :

$\displaystyle\iiint_S\vec F\cdot\mathrm d\vec S=\int_0^1\int_0^6\int_0^32xyz^3\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{\frac{81}2}$

8 0

3 years ago