Answer:
x = 4√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is one leg
- b is another leg
- c is hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
a = 19
b = <em>x</em>
c = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 19² + x² = 21²
- Isolate <em>x</em> term: x² = 21² - 19²
- Exponents: x² = 441 - 361
- Subtract: x² = 80
- Isolate <em>x</em>: x = √80
- Simplify: x = 4√5
<h2><u>
Answer: </u><em>122151</em></h2><h3 /><h3>
<em>no it is not okay for someone to do that behind the person their datings back honestly. i have had this happen to me by one of my ex boyfrie.nds and it does bother me that i let him hur.t me like that but no it isnt okay and you should never let it slide cause they could always do it again.</em></h3>
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
Answer:
7 2/15 is the answer to your question
Answer:
4 in.
Step-by-step explanation:
length times width = area
actually im not really sure lol. we havent done this in a while
