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
STatiana [176]
3 years ago
9

A prism with a base area of 8 cm^2 and a height of 6 cm is dilated by a factor of 5/4.

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:

93.75cm^3

Step-by-step explanation:

First, calculate the volume of the original prism using;

v=base\:area\times height

\Rightarrow v=8\times 6

\Rightarrow v=48cm^3

Next, find the volume of the dilated prism by multiplying the original prism by;

k^3=\frac{125}{64}

Volume of dilated prism;

V=\frac{125}{64}\times 48

V=93.75.0cm^3

Mnenie [13.5K]3 years ago
3 0
<h2>Answer:</h2>

<u>The dilated volume will be </u><u>93.75 cm³</u>

<h2>Step-by-step explanation:</h2>

Let us first find the original volume

Original volume  =  8 * 6  = 48 cm³

Now

The original volume will increase by a cube of the scale factor  because it is a prism

So

48 * (5/4)³  

=  [48 * 125] / 64  

=  [48/64] * 125  

= (3/4) * 125  

= 93.75 cm³

You might be interested in
4.2(5.1x+6.8) Simplify the expression
vovikov84 [41]

Answer:

21.42x+28.56

Step-by-step explanation:

Expand: 4.2×5.1×x+4.2×6.8

4.2×5.1×x  to (21.42)x

Simplify: 21.42x+4.2×6.8

4.2×6.8 = 28.5628.56

21.42x+28.56

6 0
3 years ago
Prove that the two circles below are similar
olasank [31]
Prove that the two circles below are similar
B is doubled in sizer then d
3 0
4 years ago
3. A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the
grin007 [14]

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.



y = mx + b


y = 2x + 15


slope(m) = 2 and y int (b) = 15



The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2


example :  


baskets picked in 1 hr :


y = 2(1) + 15


y = 2 + 15


y = 17



baskets  picked in 2 hrs :


y = 2(2) + 15


y = 4 + 15


y = 19



so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.


The y intercept (15) is telling us that they already had 15 baskets to start with.

6 0
3 years ago
2x -3y=8 solve for y
brilliants [131]
2x-3y=8\ \ \ \ \ \ |subtract\ 2x\\\\-3y=8-2x\ \ \ \ \ \ \ \ \ |:-3\\\\y=\frac{8-2x}{-3}
5 0
3 years ago
What are the zeros of f(x) = x^2 + x - 20?
kvv77 [185]
X² + x - 20
= (x+5)(x-4)

x + 5 = 0
x = -5

x - 4 = 0
x = 4

hence the answer is C
3 0
3 years ago
Other questions:
  • Which function shows the combined cost in dollars, y, for three shipments with x number of chargers and tablets?
    12·1 answer
  • Landon was taking a math test. He finished 1/2 of the test in 3/5 of an hour. How much of the test will he have done in one hour
    14·1 answer
  • the average of johnnys two tests is a 92. what must he get to on a third test to raise his average to a 94
    14·1 answer
  • An aquarium holds 3D 3.75 gallons of water it has a length of 2 feet and a height of 1.5 ft what is the volume of the aquarium w
    7·1 answer
  • Jackson middle school has 6 students in choir for every 1 student in band. if there are 54 students in band, how many students a
    14·1 answer
  • A garden table and a bench cost $618 combined. The garden table costs $82 less than the bench. What is the cost of the bench?
    10·2 answers
  • The expected (mean) life of a particular type of light bulb is 1000 hours with a standard deviation of 50 hours. The life of thi
    9·1 answer
  • (7 + X) x 8 - 4 x X = 56
    12·1 answer
  • Find the area of the circle. Give your answer in terms of x. C= pie over 7
    15·1 answer
  • Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use t
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!