Answer:
Step-by-step explanation:
In order to determine the number of wax cubes needed to make the candle, we divide the volume of the pyramid by the volume of the cube. That is,
number of wax = volume of mold / volume of wax
The formulas are,
number of wax = (1/3)Ah / s³
Where A is the area of the base, in this case 9 cm x 9 cm which is equal to 81 cm². Substituting the known values from the given above,
number of wax = (1/3)(81 cm²)(10 cm) / (4 cm)³ = 4.21
Thus, approximate number of wax should be 4.21. If we are to round this off to the nearest whole number, we will get 5 (considering that we want rather to have excess than missing items)
Answer: x=-3/4
Step-by-step explanation:
Since we know f(x)=6, we can set it equal to the equation.
6=9+4x [subtract 9 on both sides]
-3=4x [divide both sides by 4]
x=-3/4
Let
P(h)= probability of selecting heart = 13/52= 1/4
similarly
P(s)= probability of selecting spade =1/4
P(c)= probability of selecting club =1/4
P(d)= probability of selecting diamond =1/4
a)
P(h or s)= P(h)+P(s)= 1/4+1/4=2/4=1/2=0.5
b)
P(h or s or c)=P(h)+P(s)+P(c)=1/4+1/4+1/4=3/4=0.75
c)
P(2 or a diamond)=n(2heart, 2spade,2club,13 diamonds)/total number of cards
=(1+1+1+13)/52=16/52=4/13=0.3
or we could solve it as follows:
P(2 or a diamond)=P(2)+P(diamond)-P(2diamond)=4/52 + 13/52 + 1/52 = (4+13-1)/52=16/52=0.3
Answer:2.87
Step-by-step explanation:sin =opp/hyp
Sin 35=ac/5
Cross multiply
Sin 35 x 5 = ac
0.5736 x 5 =ac
2.868=ac
Ac=2.87
