For this case what you should do is use the following trigonometric relationship
senx = (1200) / (2400)
senx = 0.5
Clearing the angle we have
x = ASIN (0.5)
x = 30
Answer:
The angle of elevation from the base to the top of the mountain is 30 °
Answer: B) 0
Step-by-step explanation:
1. When you add complex numbers you must add the whole parts and then the imaginary parts.
2. One of the properties of complex numbers is called "Additive identity" which is represented by:

3. Then, for the complex number
, you have:

4. Therefore, the answer is the option B.
The sum of two numbers is zero.
x + y = 0
y = -x
<span>Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.
Twice the smaller number: 2y
3 times the larger number: 3x
</span>Twice the smaller number subtracted from 3 times the larger number is 10.
3x - 2y = 10
-2y = -3x + 10
y = 3/2 x - 5
The equations are:
y = -x
y = 3/2 x - 5
The answer is the first choice.
Answer:
The number of children are 4 out of which 3 are girls
Step-by-step explanation:
Data provided in the question:
P(Two randomly selected children are girls) = 
now,
let the number of children be 'n'
the number of girls be 'x'
thus,
P(Two randomly selected children are girls) =
= 
also,
= 
thus,
= 
or
=
or
2x(x-1) = n(n-1)
now
for x = 3 and n = 4
i.e
2(3)(3-1) = 4(4-1)
12 = 12
hence, the relation is justified
therefore,
The number of children are 4 out of which 3 are girls
Answer:
It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.
Step-by-step explanation:
The filling time of a gas tank can be given by a first order function in this format:

In which
is the current amount of fuel in the tank(in L),
is the volume of the tank(in L),
is the discharge rate of the tank(in L/s) and t is the time in seconds.
Finding the values of the parameters:
The tank is completly empty, so
.
The volume of the tank is 14 gallons. However, the problem states that the volume of the tank is measured in liters.
Each gallon has 3.78L.
So 
The discharge rate for the gas is 38.0 l/min. However, the problem states that the discharge rate is in L/s. So, to find the value of r, we solve the following rule of three.
38 L - 60s
r L - 1s



Solving the equation:





It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.