Area of a circle = pi x radius squared
Radius of a circle is from any point on the circumference to the centre
Diameter is the distance between two points on the circumference with the line crossing the centre
So radius is half of the diameter...
In this example radius is therefore 9mm (half of 18mm)
Square this... 9x9=81
So in terms of pi the answer is 81pi
To get the full answer you would just times pi (3.14) by 81 =254.34
Answer:
a) Sinusoidal functions are y = a sin [b(x-h)] + k (or)
y = a cos [b(x-h)] + k
Where a is amplitude a= (max-min)/2=(16-2)/2=7
period p= 2π/b
b=2π/30
Horizontal transformation to 10 units right h=10
k= (max+min)/2=(16+2)/2=9
h = 7 cos [π/15(t-10)]+ 9
b) t=10min=600 sec
substitue in the above equation
h=5.5m
23% because (42+35)+23=100. 42+35=77. 100-77=23.
Answer: 4 1/5
Step-by-step explanation:
Rewriting our equation with parts separated
=2 + 3/5 + 1 + 3/5
Solving the whole number parts
2 + 1= 3
Solving the fraction parts
3/5 + 3/5 = 6/5
Simplifying the fraction part, 6/5,
6/5 = 1 1/5
Combining the whole and fraction parts
3 + 1+ 1/5 = 4 1/5
Solution by Formulas
converting mixed numbers to fractions, our initial equation becomes,
13/5 + 8/5
Applying the fractions formula for addition,
=(13 × 5) + (8 × 5)/5 × 5
=65+40 / 25
=105/25
Simplifying 105/25, the answer is
=4 1/5
Answer:
See below.
Step-by-step explanation:
<u>Given</u> :
- ΔMAL ≅ ΔDLA, DL = MA, ∠MAL = ∠DLA
- ∠M = 30°
- DL = (2x + 10) cm
- MA = (3x - 2) cm
- AL = (x + 5) cm
<u>To Find</u> :
- DL
- AL
- ∠DLA
- ∠ADL
<u>Solving</u> :
- DL = MA
- 2x + 10 = 3x - 2
- x = 12
- <u>DL = 24 + 10 = 34 cm</u>
- AL = x + 5
- AL = 12 + 5
- <u>AL = 17 cm</u>
- ∠DLA = 180° - 90° - 30° = 180° - 120° = <u>60°</u>
