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
garri49 [273]
2 years ago
13

What is the surface area of the triangular prism?

Mathematics
1 answer:
I am Lyosha [343]2 years ago
6 0

The surface area of the triangular prism is 135 feet squared

<h3>How to find the surface area of a triangular prism?</h3>

The surface area of a triangular prism is the sum of the area of the whole faces.

Therefore, it has 3 rectangular faces and two triangular faces

area of triangle = 1 / 2 bh

where

  • b = base
  • h = height

Therefore,

area of the triangle = 1 / 2 × 2.5 × 6 = 7.5 ft²

area of rectangle = lw

where

  • l = length
  • w = width

Therefore,

area of rectangle 1 = 8 × 2.5 = 20 ft²

area of rectangle 2 = 8 × 6 = 48 ft²

area of rectangle 3 = 8 × 6.5 = 52 ft²

Therefore,

surface area = 7.5 + 7.5 + 20 + 48 + 52 = 135 ft²

learn more on surface area here here: brainly.com/question/14594657

#SPJ1

You might be interested in
$36,716×4.5%×6 years =
Arada [10]

Answer:

3.12833905 × 10^11  U.S. dollars

Step-by-step explanation:

4 0
3 years ago
What type of exponential function is f(x)=0.6(2.4)^x ?
Vsevolod [243]

Answer:

<em>The function is of an exponential growth type</em>

<em>Rate of change is 240%</em>

Step-by-step explanation:

<u>Exponential Function</u>

The expression of an exponential function is

f(x)=c.a^{bx}

For a,b,c constants.

1.

The function will be of an exponential growth type if, when x increases, f increases. That behavior comes from the combination of the three constants a,b,c. The best approach to find that out is by taking the first derivative

f'(x)=b.c.lna.a^{bx}

Since a^{bx} is always positive, the product of b.c.lna must be positive to make f increasing. For example, if a>1 and both b and c are of the same sign, f increases for all x. If 0<a<1, then, since lna<0, the product b.c must be negative, i.e. both should have different signs

The function is expressed as

f(x)=0.6\ 2.4^x

we can see a>1, b and c are positive, so the function is of an exponential growth type.

2.

Talking about rates change of real functions takes us to the derivative function. We have already seen the derivative is dependent on all three constants and also of the value of x, so it cannot be predicted as a fixed percentage.

Now, if we picture the function as the general term of a sequence, where x can only take natural values, we can say

\displaystyle \frac{0.6(2.4)^{x+1}}{0.6(2.4)^{x}}=2.4

Each term is obtained as the previous term by 2.4. It's accurate to say the rate of change is 240%

3 0
3 years ago
Read 2 more answers
A weed called the raindrop vine is known for growing at a very fast rate. It can grow up to 0.75 feet per day. How fast in inche
viktelen [127]

R = rate of growth of raindrop vine = 0.75 feet/day

we know that :  1 feet = 12 inches

1 day = 24 hours

replacing the units accordingly in the above expression for rate of growth of raindrop vine

R = 0.75 (feet/day)  (12 inches/1 feet) (1 day/24 hours)

R = (0.75 x 12 /24) (inches/hour)

R = 0.375 inches/hour


3 0
3 years ago
Consider the following 8 numbers, where one labelled X is unknown.
Effectus [21]

Answer:

55,-3

Step-by-step explanation:

We\ are\ given\ that,\\There\ are\ eight\ numbers\ in\ the\ data :\\17,18,24,x,44,48,42,4\\Where\ the\ value\ of\ x\ is\ what\ we\ need\ to\ find.\\Range\ of\ the\ data=51\\Hence,\\We\ know\ that\ the\ range\ is\ the\ difference\\ between\ the\ highest\ observation\ and\ the\ lowest\ observation\ in\ the\ data.\\We\ may\ know\ see\ two\ cases\ of\ evaluating\ x\ when:\\1. x\ is\ the\ highest\ observation\ in\ the\ data\ or\ x>48.\\Highest\ observation\ =x\\Lowest\ observation=4\\Hence,\\

As\ range=51,\\x-4=51\\x=51+4\ [Adding\ 4\ on\ both\ the\ sides]\\x=55 \\2. x\ is\ the\ lowest\ observation\ or\ x

7 0
3 years ago
HELP ASAP!! what is the measure of angle h?
SOVA2 [1]
Answer: B
Because they’re congruent angles
3 0
3 years ago
Read 2 more answers
Other questions:
  • For every five flowers, there are 10 yellow flowers. There are a total of 75 yellow and red flowers in her garden how many red f
    13·1 answer
  • Is (0,-4), (-3,-10), (2,0) colinear?
    11·2 answers
  • A deck is being built around a rectangle swimming pool. The swimming pool is 35ft x 20ft and the deck has a uniform width of 7ft
    10·1 answer
  • Sometimes a dilation is an enlargement, and sometimes it is a reduction. Explain what types of numbers for scale factors causes
    6·2 answers
  • Which is the nth term test and which is the geometric series test?
    10·1 answer
  • Which expression is equivalent to<br> -15163-3?Assume #w0D
    5·1 answer
  • In which situation would hydrogen bonding be present?
    14·1 answer
  • A<br> 2.1 cm<br> 2.9 cm<br> Find the value of a.
    9·1 answer
  • Graph: y =<br> |x – 4| + 2
    8·2 answers
  • F(a)=a^3-10a^2+28a-17 at a=6
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!