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Kamila [148]
3 years ago
15

Read this excerpt from Dean Caymans on becoming an inventor I had just finished making a complicated piece of equipment that was

to be used for a show opening in Philadelphia called Fiorello when the machine arrived they had trouble wiring it so instead of going off to college that morning for an orientation I scheduled several days at the theater fixing my light sound equipment the show received cool reviews except for the mention by one with you all of the special effects which he Road were outstanding how does the writing shape readers impressions?
Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

its c

Step-by-step explanation:

The show received poor reviews from the critics.

6 grader anwserd

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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box=L\times B\times H

Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

V(x)=120x-30x^2-16x^2+4x^3

V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

5 0
3 years ago
1. What is the expanded form of the expression 3.6(t + 5)?
Fed [463]

Answer:

Step-by-step explanation:

1) The expanded form of 3.6(t + 5) is 3.6t + 18.

7 0
3 years ago
Read 2 more answers
I need help with these 2 questions
tensa zangetsu [6.8K]
Number 1 would the last option, but I’m not sure about number 2
7 0
3 years ago
Maggie's brother is 7 years younger than four times her age. The sum of their ages is 48. How old is Maggie? Maggie is years old
algol13

Answer:

11 years old

Step-by-step explanation:

Maggie's age is x

Maggie's brother = 4x - 7

The sum is 48

x + 4x - 7 = 48

5x - 7 = 48

5x = 55

x = 11

4 0
3 years ago
20 POINTS! You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide t
Margarita [4]

Answer:

<em>210.33 cm^2</em>

<em></em>

Step-by-step explanation:

We know that 6 equilateral triangles makes one hexagon.

Also, an equilateral triangle has all its sides equal.

If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.

The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height  (opposite) is calculated as,

From Pythagoras's theorem,

hyp^{2} = adj^{2} + opp^{2}

substituting, we have

9^{2} = 4.5^{2} + opp^{2}

81 = 20.25 + opp^{2}

opp^{2} = 81 - 20.25 = 60.75

opp = \sqrt{60.75} = 7.79 cm  this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.

The area of a triangle = \frac{1}{2} bh

where b is the base = 9 cm

h is the height = 7.79 cm

substituting, we have

area = \frac{1}{2} x 9 x 7.79 = 35.055 cm^2

Area of the hexagon that will be formed = 6 x area of the triangular tiles

==> 6 x 35.055 cm^2 = <em>210.33 cm^2</em>

7 0
3 years ago
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