Answer:
x+3
Step-by-step explanation:
Answer:
12 = 2^2 * 3
60 = 2^2 * 3 * 5
18 = 2 * 3^2
33 = 3 * 11
105 = 3 * 5 * 7
125 = 5^3
42 = 2 * 3 * 7
Step-by-step explanation:
All the factors listed are prime numbers
Answer:
The size of side x can range from 0.5 < x < 16.5.
The size of side x cannot take on values 0 and 16.5, but it ranges between those two values for side x to complete a triangle with those two other sides.
Step-by-step explanation:
Complete Question
What is the range of possible sizes for side x? One Side is 8.5 the other is 8.0.
Solution
With the logical assumption that the three sides are to form a triangle
Let the two sides given be y and z
And the angle between y and z be θ
The angle θ can take on values from 0° to 180° without reaching either values.
As θ approaches 0°, (x+z) becomes close to equaling y. (x + z) < y
It can never equal y, because θ can never be equal to 0°, if a triangle is to exist.
Hence, x > (z−y)
x > 8.5 - 8.0
x > 0.5
As θ approaches 180°, x approaches the sum y+z, θ can never equal 180° if a triangle is to exist, so x never equals (y+z).
Hence x < (y+z)
x < 8 + 8.5
x < 16.5
Hope this Helps!!!
I don't understand the question can u resend it in proper manner
Answer:
Based on your understanding of the ideas of external consistency and fruitfulness, which of the following statements best describes the relevance of these ideas to the acceptance of hypotheses?
<u>2.</u> A fruitful hypothesis is considered stronger because fruitful hypotheses promote scientific progress by revealing new avenues of research and analysis
Which of the following scenarios best demonstrates the idea of fruitfulness?
<u>4.</u> Ordinantly, quantum mechanics is used to describe the behavior of bodies that are so smal that they cannot be seen under an optical microscope, while the theories of classical physics we used to analyze the behavior of large-scale bodies.
Step-by-step explanation: