The equation for cosine is <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse
</span></span></span>The inside trig function is <span><span>arccos<span>(<span>3/5</span>)</span></span></span>, which means <span><span><span>cos<span>(x)</span></span>=<span>3/5</span></span></span>. Comparing <span><span><span>cos<span>(x)</span></span>=<span>Adjacent/Hypotenuse</span></span></span> with <span><span><span>cos<span>(x)</span></span>=<span>3/5
</span></span></span>
Find <span><span>Adjacent=3</span></span> and <span><span>Hypotenuse=5.
</span></span>Then, using the Pythagorean theorem, find <span><span>Opposite=?
</span></span>a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4
<span><span>Adjacent=3</span></span><span><span>Opposite=4</span></span><span><span>Hypotenuse=5
</span></span><span>
Plug in the value for sin(x) = opposite/hypotenuse
sin(x) = 4/5 </span>
Answer:
26 1/2
Step-by-step explanation:
convert 4 5/12 into 53/12
multiply 53/12 by 6 to get 53/2
turn 53/2 into a mixed number = 26 1/2
Speed^2 or velocity^2 because 12x12=144
It's looks like the Kinetic energy equation:
KE = 1/2mv^2
Hope this helps!
Answer:
The Answer is: The first number is 20 and the second number is -2.
Step-by-step explanation:
Let f = first number and s = second number.
The sum is 18:
f + s = 18
Solve for s:
s = 18 - f
The difference is 22:
f - s = 22
Substitute:
f - (18 - f) = 22
f - 18 + f = 22
2f = 22 + 18
2f = 40
f = 20, the first number.
Solve for s:
s = 18 - f
s = 18 - 20 = -2, the second number.
Proof:
20 + (-2) = 18
20 - 2 = 18
18 = 18
Then:
f - s = 22
20 - (-2) = 22
20 + 2 = 22
22 = 22
Hope this helps! Have an Awesome Day!! :-)
6000 pounds because 1 ton is 2000 pounds so you times 2000 by 3 and get 6000
