2 years ago

If x = 10 units, y = 12 units, z = 12 units, and h = 8 units, then what is the surface area of the triangular prism shown above?

Mathematics

1 answer:

GrogVix [38]2 years ago

8 0

could you repost/answer with a picture?

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Use substitution to solve the system of equations.

gtnhenbr [62]

(3.75, 5.5)

(Work is attached )
When using substitution , you substitute with a variable that is already by itself. In this case, the variable “y” is already by itself and equal to x+ 1.75 . you substitute that for the the y in the other equation and solve for the other variable which is “x”. After you solve for x , to find your y value, you have to substitute the x value in for either equation.

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2 years ago

Find the length of the arc

pickupchik [31]

Answer:

23.6 or 1 4 × π × 8 = 2 π if its not right let me know

Step-by-step explanation:

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2 years ago

Use lagrange multiplier techniques to find the local extreme values of f(x, y) = x2 − y2 − 2 subject to the constraint x2 + y2 =

dexar [7]

Given $f(x,\ y)=x^2-y^2-2$ subject to the constraint $x^2+y^2=16$

Let $g(x,\ y)=x^2+y^2$ .

The gradient vectors of $f$ and $g$ are:

$\nabla f(x,\ y)=\langle2x,-2y\rangle$ and $\nabla g(x,\ y)=\langle2x,2y\rangle$

By Lagrange's theorem, there is a number $\lambda$ , such that

$\langle2x,-2y\rangle=\lambda\langle2x,2y\rangle=\langle2\lambda x,2\lambda y\rangle$

$\lambda=\pm1$

It can be seen that $f(x,\ y)=x^2-y^2-2$ has local extreme values at the given region.

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3 years ago

Fin the original price of a pair of shoes if the sale price is $60 after a 60% discount the original price is

Inessa [10]

Answer:

To add percentages, you have to make the percentage into a decimal with "1" as the whole number if it's lower than 100%.

So, $60 x 1.60 =

$96.00

The original price of the pair of shoes were: $96.00

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3 years ago

A dealer paid $10,000 for a boat at an auction. At the dealership, the sales person sold the boat for 30% more than the auction

Margaret [11]

The answer is B, $10,000 is given and is not a variable that can be changed, since there are 150 band students raising money it would be 150x, and the 30,000 is the goal of the fundraiser

8 0

3 years ago