<h3>
Answer: 73</h3>
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Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.
Answer:
x = ± 4
Step-by-step explanation:
given 3x² = 48 ( divide both sides by 3 )
x² = 16 ( take the square root of both sides )
x = ± 
= ± 4
x ∈ {- 4, 4 }
Answer:
$49
Step-by-step explanation:
Given that the discounted price is $43.61 and this was at an 11% discount
hence the discounted price represents 100% - 11% = 89% of the original price.
if:
89% of original price = $43.61
1% of original price = $(43.61 / 89)
100% of original price = $(43.61 / 89) x 100 = $49
The answer is x=-80.
First subtract 4 from both sides.
-6=
+4
-6-4=+4-4
-10=
Multiply 8 on both sides to isolate x.
-10·8=
-80=x
Answer:
Hi! I think I got the answer, it is a tricky one! The answer I got was C) 1029.
Step-by-step explanation:
1. It is good to first know that 40%more means 1.4 (some number). So, if n is 40% more than the sum of the other three numbers: n= 1.4* (<em>l +m+p)</em> .
2. Also note that: <em>n+l+m+p= </em>1764; so, <em>n = 1764-l-m-p.</em>
3. Since we have two expressions for n, we can equate them to each other. Giving, 1.4* (<em>l +m+p) =1764-l-m-p . </em>Simplifying we get 2.4 (<em>l +m+p)</em>=1764.
4. <em>l +m+p =1764/2=735.</em>
5. 1764-735=1029
Hope that helps! Feel free to message back if there are any questions!
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