For the triangle, x is 12 units long.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.
In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.
Step 2:
By substituting the known values, we get
Rounding this off to the nearest hundred, we get that x is 12 units long.
Given :
Service cost , c = $40.
Amount paid for each message , m = $0.02 .
To Find :
Equation represents the total cost C in dollars for a month when eric send t text message.
Solution :
Let , total cost be C .
It is an linear equation with slope equal to 0.02 and y-intercept equal to 40.
So ,
Hence, this is the required solution.
Answer:
70 seconds
Step-by-step explanation:
Given that;
The initial velocity of the bullet fired = 1120 ft/s
Initial height h = 8 feet
The expression to determine how many seconds it takes the bullet to hit the ground is:
Thus;
Replacing the value of = 1120 and h = 0 (i.e. when h =0) in the above expression; we have:
= -16t² + 1120t + 8
mulitiply through by (-)
= 16t² -1120t - 8
Divide through by 8
= 2t² - 140t - 1
The above expression forms a quadratic equation.
where;
a = 2
b = -140
c = - 1
So, by using the quadratic formula , we have:
= 70
Thus, the time (in seconds) it took the bullet to it the ground = 70 seconds