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:
t > 3
Step-by-step explanation:
1 hour = 194
582 / 194 = 3
She needs to ride for 3 hours to burn 582 calories
She needs to ride for more than 3 hours to burn more than 582 calories
Answer:
D sqrt( A ) sqrt(pi) / pi = r
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
To find r
Divide each side of the equation by pi
A / pi = pi r^2 /pi
A / pi = r^2
Take the square root of each side
sqrt(A / pi )= sqrt( r^2)
sqrt(A / pi )= r
We do not like leaving square roots in the denominator, so multiply by sqrt(pi)/sqrt(pi))
sqrt(A / pi ) *sqrt(pi)/sqrt(pi))
sqrt( A ) sqrt(pi) / pi = r
A. z = 0.74
The z-score of 0.74 translates to a percentile of 0.77035. Hence, the area under the standard normal curve to the left of z-score 0.74 is ~0.77.
b. z = -2.16
This z-score translates to a percentile of 0.015386 which is also the numerical value of the area under the curve to the left of the z-score
c. z = 1.02
The percentile equivalent of the z-score above is 0.846. The area is also 0.846.
d. z = -0.15
The percentile equivalent and the area is equal to 0.44.
Answer:
6
Step-by-step explanation:
the question says that (Patricia) is covering a table with a table cloth, the table has a diameter of 6.
Diameter is defined as the length of a straight line through the center of a circle. An example of diameter is the length of a line sliced down the center of a pie.
so the question asks how much surface is covered by the table cloth? simply it is six.
