Answer:
5.8
Step-by-step explanation:
tangent = opposite over adjacent
10*tan(30) ≈ 5.774
round to the nearest 10th
5.8
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:
x = -5
Step-by-step explanation:
-x = 5
*-1 *-1
-x * -1 = x
5 * -1 = -5
x = -5
Answer:
Question 2: 4th answer, Question 3: 3rd answer
Step-by-step explanation:
I think that is correct hope it helps!
An equation is formed of two equal expressions. The solution of the equation is w=3.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
In order to solve the equation, we need to isolate the variable in the following manner, therefore, the solution of the equation can be written as,
Divide both sides of the equation by 6.2,
Hence, the solution of the equation is w=3.
Learn more about Equation:
brainly.com/question/2263981
