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>
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
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Answer:
The cost of bicycle is Rs1000
Step-by-step explanation:
Let x be the cost of bicycle
Total profit gained by the shopkeeper by selling at labelled price = 20%
Suppose he sell the bicycles at at 5% discount
Which means that the total profit he learn after discount will be:
20% -5% = 15%
The shopkeeper earns a profit of 15% if he sells at discount.
Profit gained by shopkeeper is:
15% of x = 15/100 · x
15% of x = 0.15x
Thus the profit gained will be 0.15x. As profit gained is equal to 150, we can say that
0.15x = 150
x = 1000
The cost of bicycle is Rs1000
Answer:
50 degrees
Step-by-step explanation:
If angle L = 65 then the top angle for the triangle LMJ has to be 25 degrees as M is a right angle (or at least has to be for this problem to be possible)
the math to figure it out is 90+65+x=180 <-- due to triangles are 180 degrees inside which simplifies to 25 after that you just have to at 25 to itself 25+25 to get 50 which is the angle of J
from Least to Greatest:
$25.34 < $85.00 < $200.00
Answer:
the common difference is 5.4 and yes, this is an arithmetic sequence
Step-by-step explanation:
Each new term is derived by adding 5.4 to the previous term:
2.1 + 5.4 = 7.5,
7.5 + 5.4 = 12.9,
and so on,
so the common difference is 5.4 and yes, this is an arithmetic sequence.
