Answer:
sinx = √2/3
Step-by-step explanation:
cos2x = 1-2sin²x
5/9 = 1-2sin²x
2sin²x =1-5/9
2sin²x = 4/9
sin²x = (4/9)/2
sin²x = (4/9)*(1/2)
sin²x = 2/9
sinx = √2/3
Answer:
The length of the page inside the margins=8 3/4 inches
Step-by-step explanation:
The total length of the year book can be expressed as;
L=l1+l2+l3
where;
L=Total length of yearbook
l1=top margin length
l2=inside margin length
l3=bottom margin length
In our case;
L=10 inches
l1=1/2 inches
l2=unknown
l3=3/4 inches
replacing;
10=(1/2)+l2+(3/4)
(1/2)+(3/4)+l2=10
(5/4)+l2=10
l2=(10)-(5/4)
l2=8 3/4 inches
The length of the page inside the margins=8 3/4 inches
Rewrite it in the form a^2 - b^2, where a = 2x and b = 5
(2x)^2 - 5^2
Use the Difference o Squares: a^2 - b^2 = (a + b)(a - b)
<u>(2x + 5)(2x - 5) </u>
Method 1 :
(152+138+160)÷3 = 150
(152+138+160+198)÷4 = 162
Then his average score will increase
Method 2 :
Since 198 > 150 then the average will increase automatically.
48% of 160 is 76.8. I assume this is what you were asking?
