Answer:
D
Step-by-step explanation:
There are 9 letters, which contains 2Qs, 3Ls and 4Bs.
If the 9 letters are distinct, the number of permutations they have will be 9!.
! is the factorial sign.
9! = 9*8*7*6*5*4*3*2*1
HOWEVER, we have some identical elements, so we need to get rid of the permutations of the same letters.
Thus we have:
The answer is D
Answer:
Option A
10.5 m²
Step-by-step explanation:
The area of a triangle is half the product of its base by its height.
Where b is the base and h is the height.
In this triangle b = 6.1 m.
The height of this triangle is a line perpendicular to its base that goes to the vertex opposite the base.
We do not know this length. But this line h divides the triangle into two rectangular triangles.
So for these two triangles the angle that is opposite to the height h is: 47 °
Therefore we know that senx is defined as:
Where:
Opposite side = h
hypotenuse = 4.7 m
x = 47
Finally, the area is:
Answer:
Part A: 108
Part B: 125
Part C: 1.71 x 10^-4
Part D: 0.2
Part E: 0.040
Sorry for the wait, laptop is being slow :/
I hope this helps.
Answer:
False.
Step-by-step explanation:
Integers are numbers in this set:
{...,-3,-2,-1,0,1,2,3,...}
The opposite of a number is you just changing the sign of that number. Unless you are asking for the opposite of 0 which is just 0.
Example: The opposite of 5 is -5.
Example: The opposite of -5 is 5.
So the opposite of an integer does not always mean the result will be negative. As you seen above, it could be 0, positive, or negative.
Answer:
3.5 fluid ounces
Step-by-step explanation:
In this question, we are asked to calculate the capacity in fluid ounce of a cone-shaped cup.
To solve this, we need to calculate the volume of the cup.
Mathematically, the volume of a cone =
1/3 * π * r^2 * h
Where r = d/2 = 2.7/2 = 1.35 inches
h = 3.3 inches
By substituting this, we have
V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch
Now we proceed to calculate the capacity
From the question, we are told that ;
1 fluid ounce = 1.8 cubic inch
This means
x fluid ounce = 6.3 cubic inch
x = 6.3/1.8
x = 3.5 fluid ounces
