Answer:
cosa = 3/5
Step-by-step explanation:
Use Trignometrical identity cosa = √
1
−
sin
^2a
cos a = √
1
−
16
/25 = √
9
/25 = 3
/5
Answer:
-40
20
20
20
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>By </u><u>tangent</u><u> </u><u>theorem</u><u> </u>we acquire:

simplify addition:

cancel 10 from both sides:

hence,
our answer is A
We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So,
(Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.
Given:
Triangle:
height = 6ft
base = 4ft
Rectangle:
length = x
Width = 6 ft
Surface Area = 150ft²
Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²
Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²
138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x.