Prime Factors of 3080 =2, 2, 2, 5, 7, 11
Which is the same as = 23 x 5 x 7 x 11
Prime Factors Tree of 3080
3080
/ \
2 1540
/ \
2 770
/ \
2 385
/ \
5 77
/ \
7 11
/ \
11 1
Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
Answer:
x = 13
Step-by-step explanation:
Here, we want to get the missing side
from what we have, the triangle is a right angled triangle
In this kind of triangle, the Pythagoras’ theorem works
The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides
We have this as;
x^2 = 5^2 + 12^2
x^2 = 25 + 144
x^2 = 169
x = √169
x = 13
Hi , 7/16 times 4/3 times 1/2 equals to 28/96 because 7times4 times 1 equals to 28 and 16 times 3 times 2 equals to (28/96).The answer is also equivalent to 7/24.
Answer:
Correct choice is A
Step-by-step explanation:
Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).
Find the length and the width:

Then the length is 1 unit longer than the width.