There are 19 people total, and groups of four are being asked of us. We can use the formula for permutations or combinations.
Permutations:
Combinations:
Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.
19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is
93024, if not, then your answer is
3876.:)
Answer:
D
Step-by-step explanation:
Note that you have to multiply each side of the small triangle by 4 to get the same measurement of the large one.
You have only listed one value for 'x'.
If 'x' is 2/3, then 6x is (6 times 2/3). That's 12/3 or <em>4 .</em>
Answer:
B,E and F
Step-by-step explanation:
- (B)A cross section parallel to the base is a square measuring 4 cm by 4 cm.
Since a cube has <u>equal base length</u>, any cross section parallel to the base will also have an equal base length.
- (E)A cross section perpendicular to the base through the midpoints of opposite sides is a square measuring 4 cm by 4 cm.
Since a cube has <u>equal side lengths</u>, any cross section parallel to the side will also have an equal base length.
- (F)A cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4 cm by greater than 4 cm.
Using Pythagoras Theorem
There the cross section will be a rectangle which measures 
Answer:
405
Step-by-step explanation:
This is a geometric sequence, so we need the common ratio and the first term
To find the common ratio, we take the second term and divide by the first term
15/5 =3
The common ratio is 3
We are multiplying by 3 each time
The first term is 5
The formula is
an = a1 * (r) ^ (n-1) where n is the term number
We want the 5th term
a5 = 5 * (3) ^ (5-1)
a5 = 5 *3^4
= 5 *81
= 405
