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
siniylev [52]
9 months ago
6

Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dim

ensions of 12 feet by 20 feet. The front and back of the tent will be identical triangles, measuring 6 feet across at ground level, with two 5-foot sides meeting at the top. The depth of the tent will be equal to three times the height of the front of the tent. What is the depth of the tent?
Mathematics
1 answer:
Vadim26 [7]9 months ago
7 0

Based on the calculations, the depth of tent is equal to 12 feet.

<h3>How to calculate the depth of the tent?</h3>

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

  • Triangle ABC is an isosceles triangle (AB = AC).
  • The front and back of the triangle are identical triangles.
  • Side AD is perpendicular side BC.
  • CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

<u>Where:</u>

  • b is the base area.
  • h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

#SPJ1

You might be interested in
Somebody please help​
iren [92.7K]

Answer:

Yes, No, No, No

Step-by-step explanation:

To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25

(-5)² + 0² = 25, = RHS  [Yes]

1² + (√7)² = 8, ≠ RHS [No]

(√21)² + (-3)² = 30, ≠RHS [No]

0² + 7² = 49, ≠RHS [No]

5 0
3 years ago
What is the slope between<br> the points (0,-3) and (-6,7)?
IceJOKER [234]

Answer:

-5/3

Step-by-step explanation:

8 0
2 years ago
Ricky says (x5)(x3) = x15 Rocky says (x5)(x) = x ? Who is correct? Why?​
atroni [7]

Answer:

1.rocky

Step-by-step explanation

1.we have the add the powers of x,not multiply.

6 0
2 years ago
What is the x-intercept for the equation? 3x + 6y = 24<br> -4<br> 4.<br> 8<br> -8
lesantik [10]

Answer:8

Step-by-step explanation: plug in 0 for y then solve

8 0
2 years ago
Solve the equation<br> cb – 20 = –10 for b.
Ymorist [56]
ANSWER: B = 10/C
You have to isolate the variable by dividing each side by factors that don’t contain the variable
3 0
2 years ago
Other questions:
  • 1% of what number is 7
    6·1 answer
  • What is the value of Fraction 1 over 2x3 + 3.4y when x = 4 and y = 2?
    14·1 answer
  • State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
    7·2 answers
  • Find the volume of the figure below.
    14·1 answer
  • This question has 2 parts. Answer both parts. Sara started with 12 comic books in her collection. She collected the same number
    6·1 answer
  • Sharon is 18 and would like to buy a house when she is 34. What is the discount factor for today's prices if the housing values
    5·2 answers
  • ONLY ANSWER IF YOU KNOW, SHOW WORK
    9·1 answer
  • Please help!!!!!!!!!!!!!!!
    11·2 answers
  • 448 / 28 show your work ​
    6·2 answers
  • b) 7 of these cuboids of side 3 cm are put together to make this shape. Find the surface area of this shape. (3) Total marks: 5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!