Answer:
y= -3x+2
Step-by-step explanation:
M<A = <span>20°
m<B = m<C = 8</span><span>0°
</span>Law of Sines , in any triangle we have
a/sin A = b/sin B = c/sin c<span>
4/sin20 = AC/sin80 = AB/sin80
now we can solve AC
</span>4/sin20 = AC/sin80
<span>AC = 4 (sin80)/ sin20
AC = 4(0.98) / (0.34)
AC = 3.92 / 0.34
AC = 11.52
answer
</span>C.11.52 centimeters<span>
</span>
Answer:
Y= 3
Step-by-step explanation:
RS=ST
9y+3=3y+5
Answer:
The answer is y = 4
x − 4
Step-by-step explanation:
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)
