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aleksklad [387]
3 years ago
7

A watch company is developing packaging for its new watch. The designer uses hexagons with a base area of 25 in squared and rect

angles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?
How do I set this up?
Mathematics
2 answers:
WARRIOR [948]3 years ago
7 0

Answer:

The volume of the prototype is V=250\ in^{3}

Step-by-step explanation:

we know that

The volume of a hexagonal prism is equal to

V=BH

where

B is the area of the hexagonal base

H is the length of the rectangular face

we have

B=25\ in^{2}

H=10\ in

substitute

V=(25)(10)

V=250\ in^{3}

AlexFokin [52]3 years ago
7 0

Answer:

Volume of the prototype is 250 in.³

Step-by-step explanation:

Given:

Base area of the watch packaging case = 25 in.²

Length of the rectangle on the side = 10 in.

To find: Volume of the packaging prototype.

Prototype of the packaging of the watch is in shape of prism whose base is a hexagon and sides are in shape of rectangle.

So, Volume of the prism = Base Area × Height

Thus, Volume of the Prototype = 25 × 10

                                                   = 250 in.³

Therefore, Volume of the prototype is 250 in.³

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kkurt [141]

Answer:

a) x=

10°

50°

130°

10°

50°

130°

170°

250°

290°

b) x=

90°

210°

330°

Step-by-step explanation:

2 sin (3x) = 1

a)  look at the graph, y=1 when x is near:

10°,  50°, 130°, etc

in the equation: 2 sin (3x) = 1  ⇒ sin (3x) = 0.5  ⇒ 3x = 30° (and others)  ⇒ x = 10° (and others).  So the values given in solution (10°,  50°, 130°, etc) are true

b) is evident

8 0
3 years ago
Sarah made $130 for 9 hours of work. At the same rate, how many hours will she have to work to make $165?
meriva
I believe she will have to work 12 hours!

Good luck!
3 0
3 years ago
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The measure of the vertex angle in an isosceles triangle is six less than four time the measure of the base angle. find the meas
blagie [28]
An isosceles triangle is a special type of triangle that has two equal sides. Consequently, the two base angles are also equal. Since the interior angles of a triangle should sum up to 180°, the general equation should be

180° = 2*Base angle + Vertex angle

Let the base angle be x. Thus, the vertex angle is equal to
Vertex angle = 4x - 6
Substituting,
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x = 31°

Vertex angle = 4(31°) - 6 
Vertex angle = 118°
5 0
3 years ago
I don’t understand this plz help me out
kupik [55]
If your looking looking for the y-intercept its y=-3



I don't really understand what you are asking though....
3 0
3 years ago
Read 2 more answers
Someone please help me!!!!
kondaur [170]

Answer:

9.5

Step-by-step explanation:

13x+1+12x-2+14x+1+109+132+128

collect all the like terms

13x+12x+14x

=39x

1+-2+1+109+132+128

=369

39x=369

divide both sides by 39

=9.5

8 0
3 years ago
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