Answer:
37
Step-by-step explanation:
The calculation of size for a new television is shown below:-
With the help of Pythagoras theorem
where
h indicates hypotenuse which is the diagonal length
b indicates the base which is the length of the horizontal side
p indicates perpendicular which is the TV length of the vertical side.
now, we will put the values into the above formula
Which gives result
= 36.7
or
= 37
225 divided by 9 to figure out the number of crates needed.
225/9=25
So 25 crates are needed to load all boxes on the truck.
Answer:
a) 28,662 cm² max error
0,0111 relative error
b) 102,692 cm³ max error
0,004 relative error
Step-by-step explanation:
Length of cicumference is: 90 cm
L = 2*π*r
Applying differentiation on both sides f the equation
dL = 2*π* dr ⇒ dr = 0,5 / 2*π
dr = 1/4π
The equation for the volume of the sphere is
V(s) = 4/3*π*r³ and for the surface area is
S(s) = 4*π*r²
Differentiating
a) dS(s) = 4*2*π*r* dr ⇒ where 2*π*r = L = 90
Then
dS(s) = 4*90 (1/4*π)
dS(s) = 28.662 cm² ( Maximum error since dr = (1/4π) is maximum error
For relative error
DS´(s) = (90/π) / 4*π*r²
DS´(s) = 90 / 4*π*(L/2*π)² ⇒ DS(s) = 2 /180
DS´(s) = 0,0111 cm²
b) V(s) = 4/3*π*r³
Differentiating we get:
DV(s) = 4*π*r² dr
Maximum error
DV(s) = 4*π*r² ( 1/ 4*π*) ⇒ DV(s) = (90)² / 8*π²
DV(s) = 102,692 cm³ max error
Relative error
DV´(v) = (90)² / 8*π²/ 4/3*π*r³
DV´(v) = 1/240
DV´(v) = 0,004
Answer:
2.5% and 2.5 · 10^-3, 0.25, 2/5, √5
Step-by-step explanation:
0.25, 2/5, 2.5 · 10^-3, 2.5%, √5
Now let's list them all in the same form, why not decimals.
0.25 = 0.25
2/5 = 4/10 = 40/100 = 0.4
2.5 · 10^-3 = 2.5 · 0.01 = 0.025
2.5% = 0.025
√5 ≅ 2.236
Answer:
weak negative
Step-by-step explanation:
because its in negative and its in the thousands place.
