Answer:
The value of Cos (-Ф) 
.
Step-by-step explanation:
Given Trigonometric function as :
sin( - Ф ) = 
- sin Ф =
So, sin Ф = 
Now, as sin Ф = 
So , =
So, perpendicular = 3
And hypotenuse = 5
Now,<u> From Pythagoras Theorem</u>
Base ² = Hypotenuse² - Perpendicular²
Or, Base ² = 5² - 3²
Or, Base ² = 25 - 9
Or, Base ² = 16
∴ Base = 
I.e Base = 4
Now, Cos Ф = 
So, Cos Ф =
Now , Since
Cos ( - Ф ) = Cos Ф
So, Cos ( - Ф ) = Cos Ф =
Hence The value of Cos (-Ф) . Answer
If we are supposed to give you like a life situation that matches the equation then I have one:
You have 42 watermelons and you need to divide them into equal groups. Let n equal the number of watermelons in each group. There are 6 groups in total. How many watermelons are in each group? (solve for n).
If this is not what you were looking for then my apologies.
Answer:
Arc Length = 68.7
Step-by-step explanation:
The formula that is used to find the arc length:
s = (θ/360) * 2πr
(You would get the value of θ, by subtracting 57 from 360)
(You would get r by dividing 26 by 2)
Now we can solve this;
s = (303/360) 2π(13)
s = 0.842 * 2π(13)
s = 0.842 * 0.283(13)
s = 68.7
Hope this helps!
Answer:
1414 kL
Step-by-step explanation:
The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.
<h3>Moat area</h3>
The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...
C = πd = π(45 m) = 45π m
The area is this length times the width of the moat:
moat area = (45π m)(5 m) = 225π m²
<h3>Moat volume</h3>
The volume is the product of the area and the depth of the moat:
V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³
1 cubic meter is 1000 liters, 1 kiloliter.
The volume of the moat is about 1414 kL.
