Answer:
(A)24 square units
(C)72 square units
(D)96 square units
Step-by-step explanation:
<u>Triangular face</u>
Height of the Triangle=6 Units
Base of the Triangle=8 Units
Area of the Triangular Face
<u>Rectangular Faces</u>
Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units
Area of Rectangular face with dimension 12 by 8= 12 X 8=96 Square Units
Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units
From the options, the areas are:
- 24 square units
- 72 square units
- 96 square units
Answer:
72 cm³ (see below)
Step-by-step explanation:
First, refer to the volume formula:
V = l · w · h
If you plug in all of your values and simplify, you'll get the volume:
l = 6 cm
w = 3 cm
h = 4 cm
V = (6) (3) (4)
V = 18 (4)
V = 72 cm³
Because this is volume, the measurements are units cubed, meaning it's cm³.
Answer:
47.75 + x Less-than-or-equal-to 50
= 47.75 + x ≤ 50
Step-by-step explanation:
Solving the above Question:
Not going over the 50 pound case mean, less than or equal to 50 pounds
Let the extra pound of weight be represented as x
Hence, the inequality equation that can be used to determine how much more weight can be added to the suitcase without going over the 50-pound weight limit =
47.75 + x ≤ 50
Answer: $432
Step-by-step explanation: If he marks up the price by 80% then you multiply the price (240) times 0.8, which is 192. That is how much he marks it up -- $192. SO then you add how much he marks it up to the original price of $242 which is $432.
<h3>Answer:</h3>
2/15
<h3>Explanation:</h3>
There are 8C2 = 28 ways to choose 2 dimes from the 8 dimes in Annie's purse. There are 21C2 = 210 ways to choose 2 coins from the 21 coins in Annie's purse.
Of the 210 ways to choose 2 coins, 28 of the choices will result in 2 dimes being chosen. The probability of choosing 2 dimes is 28/210 = 2/15.
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<em>Comment on nCk</em>
The number of ways to choose k objects from n, when order does not matter, is ...
... n!/(k!(n -k)!)
For the computations above, we have ...
... 8C2 = 8·7/(2·1) = 28
... 21C2 = 21·20/(2·1) = 210
