Answer:
6!=720
3! • 2!=12
Step-by-step explanation:
We must recall that the factorial of a number n (positive or zero) is the product of all the integers from n down to 1
n!= n(n-1)(n-2)...1
Let's evaluate the given expressions
6!=6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=720
Similarly
3!\cdot 2!=(3\cdot 2\cdot 1)\cdot (2\cdot 1)=6\cdot 2=12
Finally
\displaystyle \frac{6!}{3!}=\frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}
\displaystyle \frac{6!}{3!}= \frac{720}{6}=120
Answer:
Step-by-step explanation:
we know that
The area of the trapezoid is equal to
step 1
Find the measure of angle DAE
m∠ADC+m∠DAE=180° -----> by consecutive interior angles
we have
m∠ADC = 134°
substitute
134°+m∠DAE=180°
m∠DAE=180°-134°=46°
step 2
In the right triangle ADE
Find the length side AE
cos(∠DAE)=AE/AD
step 3
In the right triangle ADE
Find the length side DE
sin(∠DAE)=DE/AD
step 4
Find the area of ABCD
we have
substitute
We are given that the diameter = 42 millimeters
The circumference of the lid is approximately
131.95 millimeters.
Answer:
the circle has one point even if it is a concentric circle it will have one central point or it needs more collections of the circle at equidistance
This is a question about finding the GCF or the greatest common factor for these two numbers. The real question there is what is the largest number that both 56 and 64 can be divided by and still give out integers (meaning, whole regular counting numbers). This number turns out to be 8. 56/8 = 7. 64/8 = 8. The GCF gets pulled to the outside of the parenthesis and the divided numbers remain on the inside being added together. It looks like this, 8(7+8).
