Answer:
<em>3 seconds</em>
Step-by-step explanation:
Complete question:
<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>
<em></em>
Given the height of an object modelled by the expression;
<em>h(t)=144-16t²</em>
The object will reach the ground when h(t) = 0
Substitute into the formula
0 = 144 - 16t²
-144 = -16t²
144 = 16t²
Swap
16t² = 144
t² = 144/16
t² = 9
Square root both sides
√t² = ±√9
t = ±3secs
<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>
If the triangles are similar, then the angles are all congruent.
Therefore, we can start by setting the two middle angles equal to each other.
4x + 7 = 5x - 10
7 = x - 10
x = 17
Middle angle = 75
Now that we know our x-value, we can simply plug in x for our other two expressions.
3 * 17 = 51
4(17) - 14 = 54
We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.
54 + 51 + 75 = 180
180 = 180
Hope this helps!! :)
Answer:
the interquartile range is 7
Weird question.
logically, the only answer that can make sense is a negative one since it is a decreasing slope.
the secant is the average rate of change (and is 1/tangent)
the tangent is the instantaneous rate of change. (1/secant)
we want the first one which is:<span><span><span><span>Δx</span><span>Δy</span></span>=<span><span>Δ weeks</span><span>Δ lbs</span></span>=<span><span>5−0</span><span>137−150</span></span>=<span>5<span>−13</span></span>=−0.3846</span></span>
1.2% of 8th grade students is the percentage change.
