Main formula cos (a - b) =cosacosb + sina sinb
arccos(-x) = pi -arccosx
<span>cos x cos (pi/7)+sin x sin(pi/7) = cos(x-pi/7)
so </span>cos(x-pi/7) = -(sqrt 2)/2, x -pi/7 = arc cos[-(sqrt 2)/2 ]= pi - arc cos[(sqrt 2)/2<span> ]
</span>arc cos[(sqrt 2)/2 ] = Pi/4 + 2kpi, and then x -pi/7 = pi - pi/4 +2kpi,
implies x= -pi/7 + pi - pi/4 = -<span>pi/7 + 3pi/4 = -19pi/28 + 2kpi</span>
Answer:
the vertex is -2 4
Step-by-step explanation:
Answer:
Height=12 Units
Step-by-step explanation:
Given a parallelogram with base b, and a perpendicular height, h. The area of the parallelogram is derived using the formula:
Area of a parallelogram=Base X Perpendicular Height
Given an area of 72 Units Squared.
Since I am not certain of the length of the base given:
If b=6
Area=bh
72=6h
Dividing both sides by 6
h=12 Units.
Height=12 Units
You can use the given formula to solve for the height,h of the parallelogram given any base b.
To solve this you must use a proportion like so...
94 is a percent and percent's are always taken out of the 100. This means that one proportion will have 94 as the part and 100 as the whole
We want to know how many ounces of copper is in a 9.15 ounce bar that contains 94% copper. This means 9.15 is the whole and the unknown ounces of copper (let's make this x) is the part.
Here is your proportion:
Now you must cross multiply
x*100 = 9.15*94
100x = 860.1
To isolate x divide 100 to both sides
100x/100 = 860.1/100
8.601 = x
This means that a 9.15 ounce bar is composed of 8.601 ounces of copper
Hope this helped!
~Just a girl in love with Shawn Mendes