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3 years ago

Find the surface area of the prism. The surface area is square meters.

Mathematics

2 answers:

RSB [31]3 years ago

8 0

I think the answer would be 740 cause why not

makkiz [27]3 years ago

4 0

I think the surface area would be 740 square meters!!!

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15. The equation below defines z as a differentiable function of x and y. Find the value of dz/dy at the point (1, 1, 1).

MariettaO [177]

Isolate the term with $z^2$ .

$x^2 - 5y^2 + xyz^2 = y - 4 \implies xyz^2 = -x^2 + 5y^2 + y - 4$

Differentiate both sides with respect to $y$ .

$\dfrac{\partial(xyz^2)}{\partial y} = \dfrac{\partial(-x^2 + 5y^2 + y - 4)}{\partial y}$

By the product and chain rules,

$xz^2 + 2xyz \dfrac{\partial z}{\partial y} = 10y + 1$

Solve for the partial derivative, then evaluate at $(x,y,z) = (1,1,1)$ .

$\dfrac{\partial z}{\partial y} = \dfrac{10y + 1 - xz^2}{2xyz}$

$\dfrac{\partial z}{\partial y} \bigg|_{x=1,y=1,z=1} = \dfrac{10 + 1 - 1}{2} = \boxed{5}$

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2 years ago

1 Find the distance between (-2,3) and (4,-1). * m (1 Point)

den301095 [7]

Answer:

so the distance between two points is (2√13)

Step-by-step explanation:

we have to find the distance between two points

d=√(x2-x1)²+(y2-y1)²

putting the values of coordinates

d=√(4--2)²+(-1-3)²

d=√(6)²+(-4)²

d=√36+16

d=√52

d=2√13

i hope this will help you :)

3 0

3 years ago

Write a compound inequality that the graph could represent.

FromTheMoon [43]

Your answer is:
$x\geq-1\ \wedge\ x < 3\to x\in\left$

8 0

4 years ago

Using the image above, what is the measure of Angle J? Round to the nearest hundredth

Brilliant_brown [7]

Answer:

∠J = 31.06°

Step-by-step explanation:

Taking the inverse sin function :

sin ∠J = 1.6/3.1
J = sin⁻¹ (0.516)
∠J = 31.06°

5 0

2 years ago

How do I do this problem

Marta_Voda [28]

Annual means a year (12 months). Assuming that she makes the same amount every single month, you can divide $85,608 by 12 months to find how much she makes every month. When you divide that by 12 you get $7,134 per month.

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3 years ago