Answer:
Step-by-step explanation:
let A=favorable outcomes for getting multiple of 2
they are 21,22,23,24,25,26,
41,42,43,44,45,46,
61,62,63,64,65,66
P(A)=18/36
let B=total of 8
favorable outcomes are 26,35,44,53,62
P(B)=5/36
P(A∩B)=3/36
P(A OR B)=P(A∪B)=P(A)+P(B)-P(A∩B)=18/36+5/36-3/36=20/36=5/9
In the triangle ABE
step 1
Find out the measure of angle AEB
m by form a linear pair
mm
step 2
Find out the measure of angle ABE
m by alternate interior angles
step 3
Find out the measure of angle x
Remember that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
msubstitute given values
x+100+30=180
x=180-130
<h2>x=50 degrees</h2>
Answer:
The correct answer is third option
1/√3
Step-by-step explanation:
From the figure we can see a right angled triangle ABC.
Right angled at C.
AB = 10
AC = 5
BC = 5√3
<u>Points to remember</u>
Tan θ = Opposite side/Adjacent side
<u>To find the value of tan(B)</u>
Tan B = Opposite side/Adjacent side
= AC/BC
= 5/5√3
= 1/√3
Therefore the value of tan(B) = 1/√3
First let's define variables:
r: reading
s: skimming
We write the system of equations that adapts to the problem:
r + s = 275
(15/10) r + (10/15) s = 355
We solve the system of equations:
r = 206
s = 69
Note: see attached image for system solution.
Answer:
Jayden had to skim 69 pages through