Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
Answer:
49m/s
59.07 m/s
Step-by-step explanation:
Given that :
Distance (s) = 178 m
Acceleration due to gravity (a) = g(downward) = 9.8m/s²
Velocity (V) after 5 seconds ;
The initial velocity (u) = 0
Using the relation :
v = u + at
Where ; t = Time = 5 seconds ; a = 9.8m/s²
v = 0 + 9.8(5)
v = 0 + 49
V = 49 m/s
Hence, velocity after 5 seconds = 49m/s
b) How fast is the ball traveling when it hits the ground?
V² = u² + 2as
Where s = height = 178m
V² = 0 + 2(9.8)(178)
V² = 0 + 3488.8
V² = 3488.8
V = √3488.8
V = 59.07 m/s
Answer:
<u>$7000</u> of his salary is put into this account each quarter.
Step-by-step explanation:
Given:
An investment broker puts 1/12 of his paycheck into a retirement account every quarter.
His salary is $84,000.
Now, to find how much is put into this account each quarter.
As given salary = $84,000.
So, amount to put into this account every quarter =
Therefore, $7000 of his salary is put into this account each quarter.
Answer:0.614
Step-by-step explanation:
Given
Probability he will miss flight if it rains=0.06
Probability he will miss flight it does not rain=0.01
Given the probability of rain=0.21
Therefore Probability that it will not rain=1-0.21=0.79
Probability that he will miss the flight 
P(actual raining and he missed the flight| he miss the flight)
When x is zero there will never be an interception of the line as x=0 is an asymtope
