"Enlargement" here implies that the two pentagons are similar. Because of similarity, the following equation of ratios must be true: 7/15 = x/7. Then 15x=49, and x = 49/15 = 3.27 cm, approximately.
Rounded to the nearest tenth, that comes to 3.3 cm.
Answer:
See below.
Step-by-step explanation:
2(x-2) = 3x+3(2x+1)
2x - 4 = 3x + 6x + 3
2x - 3x - 6x = 3 + 4
-7x = 7
x = -1
Answer: 175
<u>Step-by-step explanation:</u>
To find maximum, we need to find the vertex.
The x-value of the vertex is the number of automobiles that should be made and sold. <em>The y-value is the maximum profit.</em>
P(x) = -10x² + 3500x - 66,000
a=-10, b = 3500, c=-66,000
<u>BONUS:</u>
The maximum profit is: P(x) = -10(175)² + 3500(175) - 66,000
= -300,625 + 612,500 - 66,000
= 245,875
<span>lack of smoothness or regularity in a surface.
</span><span>difference in size, degree, circumstances
lack of equality
</span><span>the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”</span>
It depends on how you define natural numbers. There are two possible definitions.
1. All non-negative integers.
one-digit natural numbers: 0 - 9 for a total of 10
first 20 natural numbers: 0 - 19 for a total of 20
10/20 = 50%
2. All positive integers.
one-digit natural numbers: 1 - 9 for a total of 9
first 20 natural numbers: 1 - 20 for a total of 20
9/20 = 45%
