S^2 + 9s - 142 > 2000
s^2 + 9s - 142 - 2000 > 0
s^2 + 9s - 2142 > 0
(s-42)(s+51) > 0
s - 42 > 0
s > 42
s + 51 > 0
s > -51.......will not work
answer is : s > 42
Answer: x=8
Step-by-step explanation:
Hope this helps
Answer:



Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
Step-by-step explanation:
Considering the graph
Given the vertices of the segment AB
Finding the length of AB using the formula







units
Given the vertices of the segment JK
From the graph, it is clear that the length of JK = 5 units
so
units
Given the vertices of the segment GH
Finding the length of GH using the formula





![\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%5C%3A%7D%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5Cmathrm%7B%5C%3Aassuming%5C%3A%7Da%5Cge%200)
units
Thus, from the calculations, it is clear that:
Thus,



Therefore,
Option (A) is false
Option (B) is false
Option (C) is false
First, we must solve for the radius of the sphere:
V=



r=(3

)

r=(3*

)

r≈5.99
Second, we must solve for surface area:
A=4


A=4*

*

A≈450.88
Answer:
Below.
Step-by-step explanation:
The area = the height (h) times the base.
So Q2:
21 = h * 7
h = 21/7 = 3
55 = b * 5
b = 11.
18.75 = h * 7.5
h = 18.75 / 7.5
= 2.5.