Answer: the bridge is 11.025 m high
Step-by-step explanation:
Given that;
Time taken to hit the water t = 1.5 sec
height of bridge = ?
lets take a look at the equation of motion;
y(t) = y₀ + (1/2)at²
with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s
we substitute
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(1.5) = 11.025 m
Therefore, the bridge is 11.025 m high
Answer:
x = 65
Step-by-step explanation:
The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles
Vertical angles are congruent (In other words, they are equal to each other)
Hence, 2x + 15 = 145
^ ( Note that we just created an equation that we can use
to solve for x )
Using that same equation we then solve for x
2x + 15 = 145
step 1 subtract 15 from each side
15 - 15 cancels out
145 - 15 = 130
we now have 130 = 2x
step 2 divide each side by 2
130 / 2 = 65
2x / 2 = x
we're left with x = 65
Every function associates input values with output values. The domain of a function is the set of all the inputs the function accepts.
You will basically always find your function graphed with the inputs on the horizontal axis and the outputs on the vertical axis. This means that every point on the graph has coordinates 
, and the domain is the set of all the x values.
The points on your red line have all coordinates 
, where d starts from 0 and ranges up to 12. So, the domain of the function is ![[0,12]](https://tex.z-dn.net/?f=%20%5B0%2C12%5D%20)
Answer:
100
Step-by-step explanation:
discriminant = b^2 - 4ac
here
b = 6, a= 4, c = -4
6^2 -4 •4•-4 = 36 +64 = 100
