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Triss [41]
3 years ago
15

X = 1/2at^2 Solve for t. 1. 2. 3. 4.

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0
Lets get started :)

We need to isolate t from x = \frac{1}{2}at²

Take 2 to the left-hand side { Do multiplication since you see division }
2x = at²

Take a to the left-hand side { Do division since you see multiplication }
\frac{2x}{a} = t² 

Take square root since t is to the power of 2
\sqrt{ \frac{2x}{a} } = t 
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Verify the trigonometric identity. convert the left side of the relationship to look like the right side.
Tomtit [17]

Answer:

Verified

Step-by-step explanation:

Use \tan{x}=\frac{\sin{x}}{\cos{x}}  , \sin^2{x}+\cos^2{x}=1 and \sec{x}=\frac{1}{\cos{x}}

LHS=\tan^2{x}+1=\frac{\sin^2{x}}{\cos^2{x}} + 1=\frac{\sin^2{x}+\cos^2{x}}{\cos^2{x}}=\frac{1}{\cos^2{x}}=\sec^2{x}=RHS

5 0
2 years ago
Work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and ear
pogonyaev

Answer:

13.75

Step-by-step explanation:

The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job):

(0.6 × 11) + (0.25 × 19) + (0.15 × 16) = $13.75.

3 0
3 years ago
A bolt has 6 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Reika [66]

There would be 41 1/4 turns in 2 1/2 inches of threads.

Given, number of turns a bolt has = 16 1/2 turns per inch.

per inch bolt turns = 16 1/2 =33/2

how many turns would be there in 2 1/2 inches of threads = ?

Threads Per Inch, or TPI, is a measure of how many threads are found in one inch along a fastener's length. American fasteners are the only ones that employ TPI. Typically, the thread count is higher for smaller fasteners since they have finer threads. Just as the name implies, the Threads Per Inch (TPI) refers to the number of threads that run the length of a screw for one inch. The TPI of a screw can be easily calculated by simply counting the threads and dividing the total length.

so, 5/2 inches bolt turns =33/2 x 5/2

=165/4

hence 41 1/4 turns

Therefore, 2 1/2 inches of threads have 41 1/2 turns.

Learn more about Conversions here:

brainly.com/question/16851332

#SPJ1

4 0
11 months ago
A tank 4/5 full needs 75 litres to fill it up.how many litres does it hold when full
Ann [662]
X - the volume of the tank

\frac{4}{5}x+75=x \\
75=x-\frac{4}{5}x \\
75=\frac{1}{5}x  \ \ \ |\times 5 \\
x=375

The tank holds 375 liters when full.
8 0
3 years ago
Imagine that you are standing at the top of a cliff that is 1,500 feet above sea level. You see ship A, and your eyes make an an
balandron [24]
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft

distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
6 0
3 years ago
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