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alexira [117]
3 years ago
14

In the diagram, the length of segment VS is 39 units.

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0
It is given that the segment TR is equal to the segment VR, so segment VS is also equal to segment TS  
VS = TS
39 = 6x – 3
39 + 3 = 6x
42 = 6x
X = 7  

TV = 2(VR)
TV = 2 ( 2(7) + 5)
<span>TV = 38 units</span>
kap26 [50]3 years ago
3 0

Answer:

the answer is 38 units

Step-by-step explanation:

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Answer:

3 seconds.

Step-by-step explanation:

We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.

To find the time it will take for object to hit the ground, we will use formula:  

h(t)=-16t^2+v_0t+h_0, where, v_0 represents initial velocity and h_0 represents initial height.

Upon substituting our given initial velocity and initial height, we will get:

h(t)=-16t^2+38t+30

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

-16t^2+38t+30=0

Divide by 2:

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Upon using quadratic formula, we will get:

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-19\pm\sqrt{19^2-4(-8)(15)}}{2(-8)}

t=\frac{-19\pm\sqrt{361+480}}{-16}=\frac{-19\pm\sqrt{841}}{-16}

t=\frac{-19\pm29}{-16}

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t=\frac{-48}{-16},t=\frac{10}{-16}

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Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.

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Step-by-step explanation:

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Alang has a points card for a movie theater. He receives 55 rewards points just for signing up. He earns 3.5 points for each vis
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Alang must visit 8 times to the theatre to earn a free movie ticket.

<h3>What is an expression?</h3>

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Alang has a points card for a movie theatre. He receives 55 reward points just for signing up. He earns 3.5 points for each visit to the movie theatre. He needs 83 points for a free movie ticket.

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