Answer:
3b: 1/26
4i: 1/4
4ii: 1/13
4iii 1/13
4iv: 1/13
4v: 3/13
Step-by-step explanation:
3b. there are 26 letters in the alphabet, and there is only 1 S, thus the answer is 1/26
4i: There are 13 cards in each suite, so there is a 13/52 = 1/4 chance.
4ii: There are four aces (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iii: there are four 7's (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iv: there is a king in each of the suites, therefore the answer is 4/52 = 1/13
4v: there are a total of 12 court cards (4 kings, 4 queens, and 4 jacks) thus the answer is 12/52 = 3/13
Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...
... AD = 2AB
since you want the sides of triangle ADE to be twice then length of those in triangle ABC.
Take the square root. The opposite of squaring something is taking the root :)
√x^2 = √26
x = √26
x = 5.099...
OR leave it if your teacher doesn't want a decimal since it can't be simplified anymore
Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
Answer:
56
Step-by-step explanation:
area of whole figure=
l×b
=20×10
=200
also,area of small fig.
=l×b
=18×8
=144
thus area of shaded part =a of whole- a of small
=200-144
=56
