Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle.
sinC = 
= 
= 
, thus
∠ C = 
( ) ≈ 34.85° ( to 2 dec. places )
Let the three consecutive number be x,x+1 and x+2.
It is given sum of three consecutive numbers is 46.
So,x+x+1+x+2=46
3x+3=46.
Subtracting 3 both sides
3x=46-3
3x=43.
x= 
Since is not an integer there is no true answer to this problem.
Answer: The answer is (d) ⇒ cscx = √3
Step-by-step explanation:
∵ sinx + (cotx)(cosx) = √3
∵ sinx + (cosx/sinx)(cosx) = √3
∴ sinx + cos²x/sinx = √3
∵ cos²x = 1 - sin²x
∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M
∴ (sin²x + 1 - sin²x)/sinx = √3
∴ 1/sinx = √3
∵ 1/sinx = cscx
∴ cscx = √3
Answer:
$5.47
Step-by-step explanation:
Given data:
Annie has 4 dollar , 11 dimes, 4 pennies.
Tommy has 3 dimes, 3 pennies.
To add the money, let us first convert dime and penny into dollar.
1 dollar = $1
11 dime = $1.1
4 penny = $0.04
3 dime = $0.3
3 penny = $ 0.03
Total money = Annie’s money + Tommy’s money
= $4 + $1.1 + $ 0.04 + $0.3 + $0.03
= $5.47
So, they have $5.47 in all.
X=100
360-63= 297
297-80=217
217-100=117
117/3=39
