The maximum length is 5 . The 3 tall takes away from the 8 and then your left with 5.
Answer:
B.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
As given in the question, we know that:
The ratio of the area of the circle to the area of the square is π/4
- The formula to find the volume of the cone is:
V = 1/3*the height*the base area
<=> V1 = 1/3*h*π
- The formula to find the volume of the pyramid is:
V2 = 1/3*the height*the base area
<=> V = 1/3*h*4
=> the ratio of volume of the cone to the pyramid is:
= 
= (1/3*h*π ) / ( 1/3*h*4 )
= π/4
S we can conclude that the volume of the cone equals π/4 the volume of the pyramid
Hope it will find you well.
G (x) = |x + 10| (if you mean horizontal translation to the left)
or g (x) = | x | + 10 (vertical translation 10 units up)
Answer:
172.76 yards.
Step-by-step explanation:
The dog chasing some birds got away from its owner by x yards (say).
It is clear from the problem that this x yards is the slant distance from the dog to the owner.
The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.
Therefore, we can write that 
⇒ 
yards. (Answer)
Answer:
Step-by-step explanation:
In the same way as you could factor trinomials on the form of
x2+bx+c
You can factor polynomials on the form of
ax2+bx+c
If a is positive then you just proceed in the same way as you did previously except now
ax2+bx+c=(x+m)(ax+n)
wherec=mn,ac=pqandb=p+q=am+n
Example
3x2−2x−8
We can see that c (-8) is negative which means that m and n does not have the same sign. We now want to find m and n and we know that the product of m and n is -8 and the sum of m and n multiplied by a (3) is b (-2) which means that we're looking for two factors of -24 whose sum is -2 and we also know that one of them is positive and of them is negative.
Factorsof−24−1,241,−24−2,122,−12−3,83,−8−4,64,−6Sumoffactors23−2310−105−52−2
This means that:
3x2−2x−8=
=3x2+(4−6)x−8=
=3x2+4x−6x−8
We can then group those terms that have a common monomial factor. The first two terms have x together and the second two -2 and then factor the two groups.
=(3x2+4x)+(−6x−8)=
=x(3x+4)−2(3x+4)
Notice that both remaining parenthesis are the same. This means that we can rewrite this using the distributive propertyit as:
=(x−2)(3x+4)=3x2−2x−8
This method is called factor by grouping.
A polynomial is said to be factored completely if the polynomial is written as a product of unfactorable polynomials with integer coefficients.
