Answer:
m∠PTQ = 40°
Step-by-step explanation:
From the picture attached,
Two lines PS and RQ are intersecting each other at a point T.
Vertical angles formed at the point of intersection T will be equal in measure.
m∠PTQ = m∠STR and m∠PTR = m∠QTS
Therefore, (x + 28)° = (2x + 16)°
28 - 16 = 2x - x
12 = x
m∠PTQ = (x + 28)°
= 12 + 28
= 40°
Therefore, measure of angle PTQ is 40°.
F(x) = k(x+2)(2x-1)(x-3), where k is some constant
= k(2x^3-3x^2-11x+6)
= k(-2x^3+3x^2+11x-6)
k defines some vertical stretch, so there are an infinitely many solutions for f(x).
Answer:
What the equation is telling us is that after opening for 1 hour 15 minutes, there were 28 visitors
Step-by-step explanation:
The function we are given is ;
V(1.25) = 28
what this mean is that the number of visitors in the museum after 1.25 hours of opening is 28
1.25 hours is same as 1 hour (0.25 * 60) minutes
What is in the bracket is trying to convert the 0.25 hours to minutes
Since 1 hour is 60 minutes, 0.25 will be (0.25 * 70)
Which is 1 hour 15 minutes
So after opening for 1 hour 15 minutes, the museum had 28 visitors
<u>Answer</u>:
It takes 5 seconds for the sandbag to hit the ground
<u>Explanation</u>:
Given:
Height at which the sand bag is released from the hot air balloon
To find:
Time taken for the sandbag to hit the ground, t =?
Solution:
The initial height =s
Initially the height will be 0
Hence
the falling object model equation
Substituting the values we get,
Result:
Thus it takes 5 seconds for the sandbag to hit the ground
