What is 2/42 simplified?
2 answers:
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Answer:
32.59 (nearest hundredth)
Step-by-step explanation:
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<u>Geometric sequence</u>
General form of a geometric sequence:
(where a is the first term and r is the common ratio)
Given:
Therefore:
- a = 4
- r = 8/9
<u>Sum of the first n terms of a geometric series</u>:
To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:
Answer:
, solution is $14.29
Step-by-step explanation:
We can create an equation for this scenario to try and solve it.
Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)
We can write the equation in two ways:
or
.
Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.
Therefore, the equation is and the solution is $14.29.
Hope this helped!
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.
Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.
∠P = ∠S = 59°
∠S + ∠T + ∠U = 180° (sum of angles in a triangle)
59 + 75 + ∠U = 180°
134 + ∠U = 180°
∠U = 46°
∠U = ∠R = 46°
∠Q = ∠T = 75°
Also, for the sides:
ST = PQ = 7 m
SU = PR = 8 m
