The slant height of the pyramid can be calculated using Pythagoras theorem. Therefore, the slant height is 6.7 mm
<h3>How to find slant height of a pyramid?</h3>
The slant height x, can be found using Pythagoras theorem,
Therefore,
c² = a² + b²
where
- c = hypotenuse
- a and b are other two legs.
Therefore,
x² = 4.5² + 5²
x² = 20.25 + 25
x² = 45.25
x = √45.25
x = 6.72681202354
x = 6.7 mm
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Answer:
-2 5/9
Step-by-step explanation:
w + (-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9 - 4/3 - 2/3
Get a common denominator
-5/9 -4/3*3/3 -2/3*3/3
-5/9 -12/9 -6/9
Add
-23/9
Change to a mixed number
-2 5/9
Answer:
Equilibrium quantity = 26.92
Equilibrium price is $31.13
Step-by-step explanation:
Given :Demand function : 
Supply function : 
To Find : find the equilibrium quantity and equilibrium price.
Solution:
Demand function :
--A
Supply function :
---B
Now to find the equilibrium quantity and equilibrium price.
Solve A and B
Subtract B from A
So, equilibrium quantity = 26.92
Substitute the value of q in A
So, equilibrium price is $31.13
To find the surface area of the figure , we need to add the surface area of all the faces
So the surface area of figure = Area of two lateral rectangular faces + Area of two triangular faces + area of base
hence
Surface Area of figure = 2(10*15) + 2( 1/2 * 8 * 12) + (12*15)
= 300 + 96 + 180
= 576 square feet
So correct option is the last one
Answer:
3
Step-by-step explanation:
g(x) = x² + 2x+4
h(x) = -3x+2
(g*h)(1) is the same as
g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1
g( h( x= 1)) = g( -3*1 +2) = g( -1) so substitute in g(x) , x with -1
g(x= -1) = (-1)² +2(-1) +4 =1-2+4 =3