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
Rina8888 [55]
3 years ago
10

the right rectangular prism shown has a length of 8ft a width of 2ft and a height of 6ft the dimensions of the prism are doubled

​

Mathematics
1 answer:
Elan Coil [88]3 years ago
7 0

Answer:

Part 1) The scale factor is 2

Part 2) The dimensions of the enlarged prism are

a.Length=(8)(2)=16 ft

b.Width=(2)(2)=4 ft

c.Height=(6)(2)=12 ft

Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}

Step-by-step explanation:

we now that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Part 1)

Find the scale factor

we know that

If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to 2

Part 2)

we know that

To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor

so

Length=(8)(2)=16 ft

Width=(2)(2)=4 ft

Height=(6)(2)=12 ft

Part 3) Find the surface area of the smaller rectangular prism

we know that

The surface area of the rectangular prism is equal to the area of its six rectangular faces

SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}

You might be interested in
Mn- p=2m<br> (solve for m)
77julia77 [94]

Good evening

Answer:

m = p/(n - 2)

Step-by-step explanation:

mn- p=2m ⇌ mn - 2m = p ⇌ m(n - 2) = p ⇌ m = p/(n - 2)

________________

:)

4 0
3 years ago
Read 2 more answers
Es para hoy ayúdenme por favor
AURORKA [14]

Answer:

Con qué necesitas ayuda?

Step-by-step explanation:

4 0
1 year ago
Evaluate x/y when x=32 and y=4.
lbvjy [14]

Answer:

x = 32

y = 4

x/y = 32/4 = 8

Hope it helps!

4 0
2 years ago
Read 2 more answers
Do you think this Scatter plot is linear or no? I really can't tell.
MrRa [10]

Answer:

I would say no because the dots are all over the place.

Step-by-step explanation:

It keeps going up then down back up and down again?

4 0
3 years ago
Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

3 0
3 years ago
Other questions:
  • A rectangle with opposite sides that are not congruent
    5·2 answers
  • The lengths of the diagonals of a rhombus are 2 in. and 5 in. Find the measures of the angles of the rhombus to the nearest degr
    10·1 answer
  • Multiply One and three-fourths × Four-fifths.
    5·2 answers
  • how many times will interest be added to the principal in one year if the interest is compounded quarterly??
    6·2 answers
  • Plot the line 2x + 3y &lt; 9
    13·1 answer
  • X - 6 &lt; -4 inequality
    9·1 answer
  • Simplify 2(x + 4) + 3(x - 4
    11·1 answer
  • Decide!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • The population of bacteria in an
    7·1 answer
  • What is the slope of the line which passes through (1,1) and (-1,-9)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!