Answer:
Step-by-step explanation:
#We use the base diagonal and the height diagonal to calculate the beam's height:
#The volume of the beam can then be calculated as:
Hence, the beam's volume is 
To determine the volume of the rhombus, we use the equation,
V = Bh
where B is the area of the base and h is the height.
For rhombus, the area is calculated through the equation,
B = D₁D₂/2
Substituting,
B = (6)(8) / 2 = 24 units squared
Volume calculation:
V = (24)(16) = 384 units cubed
Answer:
The amount of chamomile tea that has to be used in order to obtain a mixture that costs $14.32 per pound is 8.997 pounds
Step-by-step explanation:
In order to find out the amount of chamomile tea that must be used in the mixture to obtain a 14.32 $ per pound, we can use an weighted average where the price points for each kind of tea are the weights and "c" is the amount of chamomile that we have to use in order to obtain the price per pound that we want. So we have:
(18.5*c + 12.23*18)/(c + 18) = 14.32
18.5*c + 220.14 = 14.32*(c+18)
18.5*c + 220.14 = 14.32*c + 257.76
18.5*c - 14.32*c = 257.75 - 220.14
4.18*c = 37.61
c = 8.997 lb
Answer:
17
Step-by-step explanation:
Variance=(standard deviation)^2
√289=standard deviation
Standard deviation=17
is acute, then slope is positive;