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
Jet001 [13]
2 years ago
15

Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott

om face included), what is the surface area of the roof of the kennel, including the bottom face?

Mathematics
1 answer:
SpyIntel [72]2 years ago
4 0

Answer:

<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>

<em></em>

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \frac{1}{2}bh

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \frac{1}{2}*4*2.24 = 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>

For the rectangular sections of the roof, area is

A = lh

where l is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>

<em></em>

For the bottom face, area is

A = lw

where l is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = <em>20 ft^2</em>

<em></em>

Surface area of the roof of the dog kennel is

<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>

You might be interested in
The difference of four times a number and seven is ten more than the number.
frozen [14]
Can you elaborate more please
5 0
3 years ago
Find the Tolal Surface Area​
julia-pushkina [17]
The answer is c hope this helped
3 0
3 years ago
Read 2 more answers
A ball is thrown vertically so that its height above the ground after t
Alina [70]
Answer is below.......

4 0
3 years ago
A study found that a factory produces 6 defective computers for every 500 computers that are produced. On the average, what perc
masya89 [10]

Answer:

1.2%

Step-by-step explanation:

We know that for every 500 computers, 6 are defective. So, to know what percentage of computers are defective on average, we can do a rule of three:

500 computers -> 6 defective

100 computers -> X defective

500/100 = 6/X

X = 100 * 6 / 500 = 1.2

So, in average, for every 100 computers, 1.2 are defective, so the percentage is 1.2% (1.2 for every 100)

6 0
3 years ago
For every 8 red pens on the teachers desk there are 12 pencils. If she has 60 writing implements, does she have enough red pens
gavmur [86]

Answer:No she does not

Step-by-step explanation:

8pens + 12pecils= 20writing inplements

20+8+12=40

20+8+12=60

You needed 3 sets of 8 pens and 3 sets of 12 pencils to get 60.

3*8=24

24 is less than 60, so she does not have enough pens for 60 students

7 0
3 years ago
Other questions:
  • Is 2.22 irrational or rational?
    14·2 answers
  • An arched entrances to a stadium is made by combining a square and a semicircle. What is the area of the opening?
    6·1 answer
  • −10y+9x=−9 <br> ​10y+5x=−5<br><br> can someone help me plz
    8·1 answer
  • If you have an x-intercept = 3 and a y-intercept = 5 find the slope and the y-intercept.
    7·1 answer
  • Y²⁵
    7·1 answer
  • HELP ME WITH MY MATH PLZ
    13·1 answer
  • Need help in these two only PLEASEE!! School is starting tomorrow
    15·1 answer
  • PLEASE HELP Point P is plotted on the coordinate grid. If point Sis 10 units to the left of point P what are the coordinates of
    13·1 answer
  • 100 Points
    12·2 answers
  • X+y&lt;-1jjjjjjjjjjhhhjjjjjj
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!