1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
seropon [69]
We need the rest of the question :)
6 0
3 years ago
a hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. the c
allochka39001 [22]

According to given conditions, m+n is equal to 409.

Consider the diagram below.

In the hexagon ABCDEF, let

AB = BC = CD = 3;

DE = EF = FA = 5;

Arc BAF is equal to one-third of the circle's circumference.

Hence, ∠BCF = ∠BEF = 60°;

Similarly, ∠CBE = ∠CFE = 60°;

Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.

∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.

Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.

∴ Δ ABQ is similar to Δ EDQ

\frac{AQ}{EQ}  = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}

Also,

\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}  

and \frac{3 - PQ}{\frac{AD + PQ}{2} }  = \frac{3}{5}

On solving these simultaneous equations, we get AD = 360/49

∴ m + n = 409.

To learn more about similarity of triangles, refer to this link:

brainly.com/question/25882965

#SPJ4

4 0
1 year ago
What is 11 Over 12+4 Over 9?
erastova [34]
11/16/9= is 11÷16÷9 which is approximately 0.076
3 0
3 years ago
If DB = 36 and AC = 3x - 3, what is the value of x?
algol13

Answer:

A.) 13

Step-by-step explanation:

Since DB =36, and AC is the same line, then AC = 36. The new equation is 36 = 3x - 3. Do inverse operation. Add 3 to both sides of the equation: 36+3=39 & -3+3=0. New equation is 39=3x. Finally divide. 39/3= 13.

3 0
3 years ago
Please help 3 time askingggg help meeee
Drupady [299]

Answer:

5. -2 3/4, -2.2, 2.8, 3 1/8

6. -0.6 , 0.65 , 2/3 , 4/5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years.enter an inequality that can be used
    11·2 answers
  • Leticia sets the thermostat in her apartment to 68 degrees. The actual temperature in her apartment can vary from this by as muc
    11·1 answer
  • 35% of 20 is what number?
    15·2 answers
  • What is the square root of 70080
    9·1 answer
  • Solve the inequality -5y-7<28
    7·1 answer
  • 0.6 or 0.06 which is greater<br>0.006 or 0.6 which is greater<br>​
    13·2 answers
  • -6(2-3n)-6(-7-2n)=30 solve for n​
    10·2 answers
  • Bobby bought a bag of candy from the candy shop. His total came to $0.68. He gave the cashier 9 coin. How many of each coin did
    11·1 answer
  • This is 13 points plz help ( no links ).
    8·2 answers
  • Cher wraps 40 presents in 2 hours. At that rate, how many presents would she wrap in 15 minutes
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!