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2 years ago

Can someone help me with this math problem :)!? I added some pictures.

Mathematics

1 answer:

KonstantinChe [14]2 years ago

8 0

Answer:

V = 4x^3-39x^2+93.5x

Domain: 0 < x < 4.25

Using the graph the maximum volume is about V = 66 inches ^3 at about x = 1.6

Step-by-step explanation:

V = l*w*h

The length is 11 -2x

The width is 8.5 -2x

The height is x

V = ( 11 -2x) ( 8.5 -2x) x

FOIL ( first outer inner last)

V = (93.5 -22x - 17x +4x^2) x

Combine like terms

V =( 4x^2-39x+93.5)x

Distribute the x

V = 4x^3-39x^2+93.5x

The domain is the values that x can take

Looking at the picture

2x can be no largest than 8.5 or there will be no width

2x < 8.5

x < 4.25

If x ≤ 0 there is no height so x > 0

0 < x < 4.25

Using the graph the maximum volume is about V = 66 inches ^3 at about x = 1.6

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ANSWER THIS QUICK QUESTION FOR 16 POINTS!

denpristay [2]

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Hope this helps.

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2 years ago

Read 2 more answers

What is the some need help????

snow_tiger [21]

The sum formula for a geometric sequaence is:

sum(n) = a1(1-r^n)/1-r

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2 years ago

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2 years ago

The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has

Neko [114]

Given:

The dimensions:

Square pyramid

Square base: 2x2

1 out of 4 triangles: 1/2x2x5

4 triangles: 2x2x5

To find:

The SURFACE AREA of the square pyramid

Find answer:

Step 1

Find the area of the square base -

Square base:

SA = L x W

= 2 x 2

= 4

The surface area of the square is 4 square inches

Step 2

Find the area of the 4 Triangles:

We will use a different formula here, to find 1 triangle, we will have to do:

$SA = \frac{1}{2} *B*H$

To find 2 triangles, we will do:

$SA = B*H$

But to find 4 triangles in just 1 step, we will do:

$SA=2*B*H$

Let's do it!

$SA = 2*2*5\\=2*10\\=20$

The surface area of the 4 triangles are 20 square inches

Step 3

Add answers to get FINAL ANSWER

Easy!

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<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2>

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1 year ago