Applying the Pythagorean theorem and the trigonometric ratios, the perimeter of triangle ABC is: 68.8 units.
<h3>What is the Perimeter of a Triangle?</h3>
The perimeter of a triangle = sum of its 3 sides.
Given the following:
Use the Pythagorean theorem to find AD considering triangle ADB as a right triangle:
AD = √(15² - 9²)
AD = 12 units
Use the trigonometric ratios to find DC and AC:
sin 30 = AD/AC
sin 30 = 12/AC
AC = 12/sin 30
AC = 24 units
tan 30 = AD/DC
tan 30 = 12/DC
DC = 12/tan 30
DC ≈ 20.8 units
BC = BD + DC = 9 + 20.8
BC = 29.8 units.
Perimeter of triangle ABC = BC + AB + AC
Perimeter of triangle ABC = 29.8 + 15 + 24
Perimeter of triangle ABC = 68.8 units.
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Answer:
Step-by-step explanation:
The distributive property is when you break a problem down. For example 6 +4.
You could break it down into 3x2+4. Or (3x2)+2x2. Or you could even break it down into 3+3+2+2. Those are all the same as 6+4.
So firstly, we are going to complete the square for each polynomial. To do this, we need to split the middle term of each polynomial into two terms that add up to the middle term and multiply to the product of the first and third term.
Starting with 3x^2+26x+16, the two terms that fit are 24x and 2x since they add up to 26x and multiply to 48x^2. Now replace 26x with 24x + 2x:
Next, you are going to factor 3x^2 + 24x and 2x + 16 separately. Make sure they have the same quantity in the parentheses:
Next, thanks to distributive property, we can rewrite this as (3x + 2)(x + 8).
The process is going to be the same with the other 3 polynomials, so I'll brush through them real quickly:
So right now, just for reminder our fraction looks like this:
Next, cancel out (x+5), (x-3), and (3x+2) and your answer will be:
The diamter of Jupiter is 11 times that of the earth, so the radius is also 11 times that of the earth. You have to just square 11 to get 121 times
<span>I hope this information was very helpful.</span>
-10z+14 would be the simplified answer