Answer:
The volume of the composite figure is:
Step-by-step explanation:
To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.
<em>VOLUME OF THE CUBE.
</em>
Finding the volume of a cube is actually simple, you only must follow the next formula:
- Volume of a cube = base * height * width
So:
- Volume of a cube = 6 ft * 6 ft * 6 ft
- <u>Volume of a cube = 216 ft^3
</u>
<em>VOLUME OF THE PYRAMID.
</em>
The volume of a pyramid with a square base is:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the base.
</em>
<em>h = height.
</em>
How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:
- Volume of a pyramid = 1/3 36 ft^2 * 8 ft
- <u>Volume of a pyramid = 96 ft^3
</u>
Finally, we add the volumes found:
- Volume of the composite figure = 216 ft^3 + 96 ft^3
- <u>Volume of the composite figure = 312 ft^3</u>
Answer:
Probabilities
Likely to happen (L) Unlikely to happen (U)
a. 4/5 5/8
b. 3/5 3/8
c. 4/5 4/7
d. 0.3 0.09
e. 5/6 and 4/5 2/3
Step-by-step explanation:
Probabilities in Percentages:
a. The probability of 4/5 = 80% and 5/8 = 62.5%
b. The probability of 3/8 = 37.5% and 3/5 = 60%
c. The probability of 4/5 = 80% and 4/7 = 57%
d. The probability of 0.3 = 30% and 0.09 = 9%
e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%
b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms. When this is done, the relative sizes become obvious, and then, comparisons can be made.
Answer:
Step-by-step explanation:
α + β = 180°
∠BFE and ∠FBC
∠CEF and ∠BCE
Answer:
Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person
Step-by-step explanation:
Are you also a simp for draco? :3
Answer:
Step-by-step explanation:
We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.
To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:
1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in 
ways.
2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is 
And so the total number of ways in which we could choose 8 gloves from different colors is
Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply 
So the probability of picking no mathing pair is
