Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
Answer:
1/2 a minute you multiply 1/6 by 3 and get 3/6 then simplify and end with 1/2 please brainliest ;)
Step-by-step explanation:
so 30
Answer:
All you have to do is divide 3 4/5 by 2 which is<u> 1 9/10</u>
Step-by-step explanation:
13-4x = 1-x
13 = 3x +1
12 = 3x
4 = x
X=4
Take the root of both sides of the equation.
y = ^3 √64
Calculate the root.
y = 4
In the end, when you substitute y for 4,
4^3 will get you 64.
