Answer:
Volume of the sphere
Step-by-step explanation:
Volume of the sphere= 
The sphere has given radius(r)= 11 units
Putting the value of the radius in the formula;
Volume of the sphere:
= 
Volume
The volume of the sphere with radius of 11 units is 
Answer:
There were 20 questions on the quiz
Step-by-step explanation:
In this question, we are concerned with knowing the number of questions on a quiz, given that Deana had a certain percentage after scoring an amount of marks.
We proceed as follows;
Let the number of questions on the quiz be X.
Now, she got 85% by making 3 incorrect choices. This means the percentage of questions she got incorrectly would be 100-85 = 15%
what we are saying is that it is just 15% of her questions that were wrong.
This mathematically;
15% of x = 3
15/100 * x = 3
15x = 3 * 100
15x = 300
x = 300/15
x = 20
Step-by-step explanation:
secants originating from the same point have the same relative length relationship :
outside part × sum of outside and inside parts
is the same for every secant from the same point.
so,
5×(7+5) = 6×(2x-8+6) = 12x - 12
60 = 12x - 12
12x = 72
x = 6
WV = 2x - 8 = 2×6 - 8 = 12 - 8 = 4
so, B is correct.
Answer:
x = 2±sqrt(11)
Step-by-step explanation:
x^2 -4x - 7 =0
Add 7 to each side
x^2 -4x -7+7 =0+7
x^2 -4x =7
To complete the square take the coefficient of the x term and divide by 2 and then square it. Add it to both sides
-4 /2 = -2 then square
(-2)^2 = 4
Add 4 to both sides
x^2 -4x+4 =7+4
x^2 -4x+4 = 11
Factor the left side into (x-b/2)^2
(x-2)^2 =11
Take the square root of each side
sqrt((x-2)^2) =±sqrt(11)
x-2 = ±sqrt(11)
Add to to each side
x-2+2 = 2±sqrt(11)
x = 2±sqrt(11)
Well.. .not exactly what you're asking, but the relationship of them is
so... hmm to add some
for example let's say
