Fish tank A
V = Ah = 25 ft^2 * 8 ft = 200 ft^3
Fish tank B
V = Ah = 40 ft^2 * 4 ft = 160 ft^3
The volume of fish tank A is 200 ft^3, and the volume of fish tank B is 160 ft^3, so fish tank A has a greater volume. Its volume is greater by 40 ft^3.
Answer:
1/6
Step-by-step explanation:
number cube 6 faces less than 2, only 2 possibilities, leaving us with a fraction of 2/6=1/3
tails is a 50 percent chance or 1/2
3/6 time 2/6
equals:
1/6
the probability of rolling a number less than 2 and flipping tails on a coin is 1/6
find probability of event a: number cube and multiply it by probability of event b: coin
Answer:
ABCD is a parallelogram
Step-by-step explanation:
Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a
parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC
1. given 2. ∠CAD and ∠ACB are alternate interior ∠s 2.
definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3.
alternate interior angles are congruent 4. AC ≅ AC 4.
reflexive property 5. △CAD ≅ △ACB 5. SAS congruency
theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7.
Answer:
a. 25.9% b. $.76 per pound
Step-by-step explanation:
For part a. the formula for percent decrease is
% dec = 
We are solving for % dec. Filling in:
% dec = 
simplifies to
% dec = 
which gives us, rounded to one decimal place:
% dec = 25.9%
For part b. we are going to use that percent decrease and fit it into a new equation to solve for the new price of tomatoes when we know the original price. Filling in:
which could be written instead as
Now you can see what will happen on the right when we divide by 100...they cancel out. That looks like this, when we divide both sides by 100, as we must because this is an equation:
Simplifying on both sides:
Now we will multiply both sides by 1.03:
.26677 = 1.03 - new and
-.76323 = -new so
the new price is .76 per pound
Answer:
-3
Step-by-step explanation:
