Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
First you have to double the simple interest to get the amount earned in 1 year. That gives $3.56 earned and a total balance of $893.56
r = (1/t)(A/P - 1) t=time, A=amount of money with interest, P=amount invested
r = (1/1)((893.56/890) - 1) = 0.004
r = 0.004
now convert to a decimal to get .04 = 4%
Answer: x> 1/2
Step-by-step explanation:
if 2x+1∠ 8x-2
inequality , treat this problem like any other equation
have the unknown(x) in one side, and the values on the other side
2x-8x < -1-2
-6x< -3 we multiply by -1, do not forget if we multiply by -1 the sign will change
6x>3 divide by 3
2x>1
x>1/2
Answer:
€24
Step-by-step explanation:
We can use ratios to solve this.
3:4 = 18:x
Cross multiply: 3x = 18*4
Divide: x = 18*4/3
Simplify: x = 6*4 = 24
The given answer should be "3/2", its because "32" is not possible in anyway..
tan C = sin C / cos C
Where sin C = 3 / 3.61
And
cos C = 2 / 3.61
Now
tan C = (3 / 3.61) / (2 / 3.61) = (3 / 3.61) x (3.61 /
2) = 3 / 2
<span>Thus tan C is the correct choice. </span>