Answer:
C. x = 8 , y = 40
Step-by-step explanation:
since this is an Isosceles triangle 5x = 40° and x = 8
The sum of interior angles in a triangle is equal to 180°
40° + 5x + 2y + 20 = 180° add like terms
5x + 2y = 120
40 + 2y = 120 ➡ 2y = 80 and y = 40
Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements,
, is given by:
![G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}](https://tex.z-dn.net/?f=G%20%3D%20%5Csqrt%5Bn%5D%7Bn_1%20%5Ctimes%20n_2%20%5Ctimes%20...%20%5Ctimes%20n_n%7D)
That is, the nth root of the multiplication of all elements.
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In this question:
- Two elements(n = 2), a and 34.

Thus:

We find the square of each side, so:


Simplifying both sides by 17:



The value of a is 18.
A similar example is given at brainly.com/question/15010240
Answer:
D. 25.3
Step-by-step explanation:
tan∅ = opposite over adjacent
Step 1: Write equation
tan66.5° = x/11
Step 2: Multiply both sides by 11
11tan66.5° = x
Step 3: Evaluate
x = 25.2983
x ≈ 25.3
Answer:
The total cost of producing 91 units of ACME rocket fuel is $3999.99.
Step-by-step explanation:
The Marginal Cost is given by the following function

The total cost function is the integrative of the marginal cost function. So:



In which K, the integrative constant, is the fixed cost. So
.
1. Find the total cost of producing 91 units of ACME rocket fuel.
This is TC(91).
So

The total cost of producing 91 units of ACME rocket fuel is $3999.99.
2(x + 2) + 2 = 2(x + 3) + 1
2x + 4 + 2 = 2x + 6 + 1
2x + 6 = 2x + 7 - NO SOLUTION
(subtract 2x from both sides, then 6 = 7 FALSE)
2x + 3(x + 5) = 5(x – 3)
2x + 3x + 15 = 5x - 15
5x + 15 = 5x - 15 - NO SOLUTION
4(x + 3) = x + 12
4x + 12 = x + 12 - ONE SOLUTION
4 – (2x + 5) = (–4x – 2)
4 - 2x - 5 = -4x - 2
-2x - 1 = -4x - 2 - ONE SOLUTION
5(x + 4) – x = 4(x + 5) – 1
5x + 20 - x = 4x + 20 - 1
4x + 20 = 4x + 19 - NO SOLUTION