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:
The value has increased by <u>8 percent</u>.
Step-by-step explanation:
Given:
The value of a house has increased by $4,200 in the past year.
The value last year was $52,500.
Now, to find the percent increased.
<em>Value of house = $52,500.</em>
<em>Value of house last year increased by = $4200.</em>
So, to get the percent increased:




Therefore, the value has increased by 8 percent.
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Ok, there is an equation you can use to solve it.
n is a number.
p is also a number, but different to n.


Therefore:
<u></u>

So all together there were 54 girls and 42 boys in the theatre.
54 + 42 = 96
That's 96 children in total. (Answer)
7:9 = 42:54
Answer: 500000
Step-by-step explanation: