Answer:
x = 13
Arc RQ = 180°
Step-by-step explanation:
PEQ is an inscribed angle and the measure of an inscribed angle in a circle is equal to half of the arc it sees.
The perimeter of a circle is always 360° therefore
2 × (5x + 15) + 9x + 17 + 6x - 12 = 25x + 35 = 360°
25x = 360 - 35
25x = 325
x = 13
Since arc RQ is equal to 10x + 30 we replace x with the value we just got
10×13 + 30 = 160°
The solution to this problem is 5/2a^2b^5
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.
<u>The question does not specify the condition that must satisfy the given angles. We assume they are the internal angles of a triangle.</u>
Answer:
<em>x = 10</em>
Step-by-step explanation:
<u>Internal Angles of a Triangle</u>
The measure of the angles of a triangle are given as 48-x, 9x-38, and 90. Since the sum of the internal angles of a triangle is 180°:
48 - x + 9x - 38 + 90 = 180
Simplifying:
100 + 8x = 180
Subtracting 100:
8x = 180 - 100 = 80
x = 80/8
x = 10
