The answer for this one is option B.
The angle between two tangents and angle at the center are supplementary (adds up to 180⁰).
Answer: The equation of the sphere with the center and radius

b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
Step-by-step explanation:
a) The equation of the sphere having center (h,k,l) and radius r is

Given center of the sphere (3, -9, 3) and radius 5

on simplification , we get solution


Final answer :-

b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )

<u>Answer:</u>
29 years
<u>Step-by-step explanation:</u>
- Given the function
, where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover. - Another way of doing this is to change the function to
which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate. - I'll use the 1st function because the question doesn't ask for the rate

From here I'll just use a calculator & get 28.7, or 29 years.
Answer:
y = xt-3
i hope this will help you let me know i am only 70%
sure this is right
Answer:
The volume of shipping crate is 32 unit cubes.
Step-by-step explanation:
Given that:
Length of the crate = 4 units
Width of the crate = 2 units
Height of the crate = 4 units
Volume of shipping crate = Length * Width * Height
Volume of the crate = 4 * 2 * 4
Volume of crate = 32 unit cubes.
Hence,
The volume of shipping crate is 32 unit cubes.