Answer:
Step-by-step explanation:
we know that
The value of sine of an angle in a right triangle is equal to the opposite side of the angle divided by the hypotenuse
so
<h2>
Answer:<em> X=6</em></h2>
Hope this is the answer you are looking for.. if it's wrong please letme know
Solution
In order to find greatest to least number, we have to convert the given fractions into decimals.
3 
% = 3 + 1/10 = 3 + 0.10 = 3.10%
3 
% = 3 + 2/5 = 3 + 0.40 = 3.40%
3 
%= 3 + 0.25 = 3.25%
3 
% = 3 + 0.33 = 3.33%
Now we can easily, compare the numbers and write from greatest to least.
3.40%, 3.33%, 3.25%, 3.10%
Greatest to least = 3 2/5%, 3 1/3%3, 3 1/4%, 1/10%,
Thank you :)
Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
Answer:
land on 3: 36 times
land on 4: 63 times
Step-by-step explanation:
A biased dice is the opposite of a fair dice.
A fair dice has the same probability of landing any of the six numbers: 1/6
The biased dice has different probabilities for its results.
To solve this question, first we need to find the probability of landing a 3.
The sum of all probabilities need to be 1, so:
0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1
p(3) = 1 - 0.88 = 0.12
If we roll the dice 300 times, the expected number of times the dice will land:
on 3: 300 * p(3) = 300 * 0.12 = 36 times
on 4: 300 * p(4) = 300 * 0.21 = 63 times
