Answer:
about 65.4 inches cubed
Step-by-step explanation:
The formula for the volume of a sphere is 4/3πr^3.
V = 4/3πr^3
= 4/3π(2.5^3)
= 20.83π = <u>about 65.4 inches cubed</u>
Answer: 59.5
Step-by-step explanation:
U(t) = 5.1t^2 − 1.7t
U'(t)=2*5.1t-1.7
U'(t)=10.2t-1.7
U'(6)=10.2(6)-1.7
U'(6)=61.2-1.7
U'(6)=59.5
I don’t really know….but nice computer :)
Answer:
Congruence between pentagons
Step-by-step explanation:
The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.
In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)
First, you combine like terms: x+3x=4x: 12+4x=18-2x
Second, you add the 2x to each side (inverse operation): 12+6x=18
Third, you subtract 12 from 18 to cancel out the 12 (inverse operation): 6x=6
Fourth, you divide each side by 6 to find the value of x
The answer is x=1