Answer:
Beaker: $3, Goggles: $7
Step-by-step explanation:
No solution<span> would mean that there is </span>no<span> answer to the equation. It is impossible for the equation to be true </span>no<span> matter what value we assign to the variable. Infinite</span>solutions<span> would mean that any value for the variable would make the equation true.</span>No Solution<span> Equations.
</span>In other words, it "discriminates" between the possible solutions<span>. The discriminant is the expression found under the square root part of the quadratic formula (that is, . The value of tells how many </span>solutions<span>, roots, or x-intercepts the quadratic equation will have. If , there are two </span>real solutions<span>.</span>
Answer:
P( not win) = 2/ (n+2)
Step-by-step explanation:
There are n+2 total possibilities
There are n winners
not win = n+2 - n = 2
P( not win) = not win / total
= 2/ n+2
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>
Consider that the initial length and width of the rectangle are given as,
After the length is increased by 10%, the new length (L) of the rectangle is calculated as,
After the width is decreased by 10%, the new width (B) of the rectangle is calculated as,
Then the area (A) of the new rectangle is calculated as,
Thus, the new area of the rectangle is 396 square meters.