Answer:
The surface = pi*10cm2
Step-by-step explanation:
The area of any rectangle is Base * Height,
We know that the square originally has 10cm High, when is rolled to form a cylinder, it's new shape has a bottom side that is equals to a circle.
The length of a circle is 2*pi*Radio= pi*Diameter.
Since the square has the same length in each side, we know that pi*Diameter= 10cm*pi
The surface (area) of the cylinder is= Base * Height= 10cm*10cm*pi
Answer:
2
Step-by-step explanation:
Plug 4 in for d and 3 in for c
5d-2/3c
5(4)-2/3(3)
Multiply in the numerator and the denominator
20-2/9
Subtract in the numerator
18/9
2
Hope this helps! :)
We have been given that The boston celtics have won 16 nba championships over approximately 50 years. Therefore, it can be concluded that in any given year the probability of celtics winning the title will be p = 16/50 = 0.32
For Celtics to win eight straight championships in 1959, we will be required to multiply the probability of winning championship in one year to itself 8 times.
Therefore, the required probability is:

Therefore, the required probability is almost 0.00011.
Luckily for us, the diagram already divided this figure into separate polygons. What I will be explaining is basically the addition of the areas of all the separate polygons. The area of the uppermost triangle is:
1/2 x b x h
= 1/2 x 20 x 8
(the base is 20, because in a parallelogram, opposite sides are congruent)
=10 x 8
= 80 in. squared
The next polygon we will be taking the area of is the parallelogram with the base length of 20 and the height of 16.
Area = b x h
= 20 x 16
= 320 in. squared
Now all we have left to do is add the two areas to obtain the total area.
Total Area = 320 + 80 = 400 in. squared
Answer:
x > 3
interval notation: (3, ∞)
Step-by-step explanation:
Given the inequality statement: 4x - 5 > 7,
The goal is to isolate x and find its solution.
Start by adding 5 to both sides:
4x - 5 + 5 > 7 + 5
4x > 12
Divide both sides by 4:
4x/4 > 12/4
x > 3
The solution can also be expressed in the following interval notation:
(3, ∞).
In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.