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Alborosie
3 years ago
14

a 20 in tall hexagonal pyramid has a regular hexagon base that can be divide into six equilateral triangles with side lengths of

12 in, as shown below find the area of the hexagon base rounded to the nearest hundredth

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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F ind the volume under the paraboloid z=9(x2+y2) above the triangle on xy-plane enclosed by the lines x=0, y=2, y=x
olga nikolaevna [1]

Answer:

The answer is 48 units³

Step-by-step explanation:

If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,

V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {z} \, dx dy\\V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {9(x^{2}+y^{2})} \, dx dy

Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,

V=9\int\limits^2_0 {4y^{3}/3} \, dy

After performing the elementary y integral we obtain the desired volume as below,

V= 48 units^{3}

4 0
3 years ago
I cant find this answer for my life
fredd [130]
1/343


Hope this helps (:
8 0
3 years ago
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Write a word phrase that can be represented by b-6
Bess [88]
Six less than "b"
i think this would be the answer
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7 0
2 years ago
What is the measure of angle ABC? <br><br> Angle ABC=___ degrees
MrMuchimi

Answer:

60°

Step-by-step explanation:

measure of angle ACB = 180-135= 45

then the required angle = 180-(45+75) = 60°

I hope that was helpful

3 0
3 years ago
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What would be the minimum value of the function for the graph shown if we consider the graph to be a sine function of the form y
postnew [5]

Answer: Third Option

-2

Step-by-step explanation:

I want to find the minimum value of a function with the form

y = asin (x-c)

But we do not know the value of the coefficient "a", which is the amplitude, nor of the constant c.

However, in the attached graph we have the function.

The minimum value of a function is the lowest value of the variable y that the function can reach.

Observe in the graph that the function is periodic and reaches its maximum value at y = 2 and its minimum value at y = -2

Therefore the minimum value would be y = -2

8 0
3 years ago
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