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:
<h3>
The father is 40 and the daughter is 20.</h3>
Step-by-step explanation:
x - the present age of the daughter
2x - the present age of the fathter
x - 10 - the age of the daughter ten year ago
2x - 10 - the age of the fathter ten year ago
Father is older than his dauther, so:
2x - 10 = (x - 10) + 20
2x - 10 = x - 10 + 20
2x - 10 = x + 10 {subtract x from both sides}
x - 10 = 10 {add 10 to both sides}
x = 20
2x = 2·20 = 40
The final price (what it is selling for) is $796.40
The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.
We need to find the original price.
We write this as an equation
The original price *110% = final price
This is because the original price is itself (100%) added with 10%
Plug in the known final price
Original Price * 110% = 796.40
Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.
Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)
110% = 1.1
So it is now
Original price *1.1 = 796.40
Divide both sides by 1.1 to isolate our unknown, the original price
Original price = $724
Hi there!
There are 3 parts to this equation:
f(x)
f(x+1)
4f(x)
We must first determine these three parts separately.
<u>1) f(x)</u>
We're given that 
:
⇒ :
<u>2) f(x+1)</u>
Now, we must find f(x+1). To do so, add 1 to x in the original function :
⇒ 
<u>3) 4f(x)</u>
To find 4f(x), multiply the original function by 4:
:
<u>4) Put it all together</u>
Now, plug each of the three parts into the equation :
Factor the left side
Divide both sides by 3^x
Because this equation is true, is therefore true.
I hope this helps!
Answer:
1) 7(3) = 21
Step-by-step explanation:
