Answer:
The equation of the sphere in standard form is

Step-by-step explanation:
<u>Step 1</u>:-
The equation of the sphere having center and radius is

Given centered of the sphere is (-6,10,5) and radius r=5

on simplification,we get


simplify , we get

You just have to add or subtract the percent of a number from the original
A) 5percent of 40=2 ( 0.05*40)
Since it’s increase add 2 to 40=42
F) 40percent of 25= 10 (0.4* 25)
25-10=15
Answer:
Step-by-step explanation:
You have to divide -5 from each side so -5/-5x which would be x and divide -5 by 40 which is -8 so x is greater than or equal to -8
For this you count rise over run aka how many up divided by how many over starting from 0. here it’s 7 up and 3.5 side, 7 divided by 3.5 is 2 and the line is going down so it’s negative 2 (D)
9514 1404 393
Answer:
A. √13
Step-by-step explanation:
You can make an educated guess and come to the right conclusion.
The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.
So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:
__
A -- between 3 and 4, the correct choice
B -- 3, too short
C -- 1.73, too short
D -- more than 4, too long
__
The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.
c = √(a^2 +b^2 -2ab·cos(C))
c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)
c = √13 . . . . . length of the side opposite the 60° angle