Answer: 3.50
Step-by-step explanation: Just answered this question
Answer:
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
Tan ∅ = - 3/4
sin ∅ = -3/5
cos ∅ =4/5
Step-by-step explanation:
Given : -4y = 3x , x > 0
i.e. 3x + 4y = 0 , x >0
4y = -3x ∴ y = - 3/4 x
<u>The values of trigonometric functions of ∅ are </u>
Tan ∅ = opposite / adjacent
= - 3/4 ( given that y = slope which is = Tan ∅ )
now we will find the hypothenuse ( c )
c^2 = a^2 + b^2 = 9 + 16 = 25
therefore ; c = √25 = 5
hence the trig functions are :
sin ∅ = -3/5
cos ∅ =4/5
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
9514 1404 393
Answer:
21.46 mm^2
Step-by-step explanation:
The area of the square is ...
A = s^2 = (10 mm)^2 = 100 mm^2
The area of the circle is ...
A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2
Then the shaded area is ...
100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area
The midpoints are (8,3) and (6.5,6).
<u>Step-by-step explanation</u>:
Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)
(x1,y1) = (5,2)
(x2,y2) = (11,4)
Midpoint = ((5+11)/2 , (2+4)/2)
⇒ ((16/2) , (6/2))
⇒ (8,3)
(x1,y1) = (3,8)
(x2,y2) = (10,4)
Midpoint = ((3+10)/2 , (8+4)/2)
⇒ ((13/2) , (12/2))
⇒ (6.5,6)
The angles must add up to 360 degrees, so we can set the sum of the interior angles equal to 360 and solve for x.
106 + 94 + 135 + x + (x + 5) = 360
Combine like terms:
340 + 2x = 360
2x = 20
x = 10
