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3 years ago

What is the surface area of a rectangular prism with a width of 4mm, length of 10 mm, and height of 7mm?

1 answer:

3 0

Given sides are 4x10x7. A rectangular prism with have 4 sides and 2 ends...we know area is length x height.. so the first side is 10x7 = 70mm. There are 4 sides so 70 x 4 = 280mm, then the end is 4x7 = 28. There are 2 ends so 28x2= 56mm. Combine 280+56 = 336mm. Hope that helps.
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Define and name two pairs of corresponding angles

Inga [223]

Answer:

2 corresponding to 6

3 corresponding to 7

Step-by-step explanation:

Corresponding angles just make the letter F

4 0

2 years ago

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

4 0

3 years ago

If 75% is 60 pounds what is the full cost

otez555 [7]

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3 years ago

If θ is an angle in standard position that passes through (-3, 4), find sin2θ.

julia-pushkina [17]

Answer:

Correct answer: sin 2Θ = - 24/25

Step-by-step explanation:

If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:

if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.

sin Θ = 4/5 and cos Θ = - 3/5

we know that the formula for double the value of the angle is:

sin 2Θ = 2 sinΘ cosΘ = 2 · 4/5 · ( - 3/5) = - 24/25

sin 2Θ = - 24/25

God is with you!!!

8 0

3 years ago

Please solve this thank you :)

snow_lady [41]

Answer:

Scale= 3 x=9 y=15

Step-by-step explanation:

8 0

3 years ago