The perimeter is 41.7
Find the length of each side using the distance formula:
Adding the side lengths, we have
14+7.8+19.9=41.7
The LCM is 210
70×2=210
14×15=210
30×7=210
Use the trig ratio which
gives you the most information. Here we have opposite and hypotenuse
relative to angle x, so think sin( x ) = 14.1 / 27.9<span>Now we want to solve for x, but x is stuck inside the sine function
So how do we do this?
We can 'undo' the sine function by using the inverse sine. apply the inverse Sin to both sides of the equation.
sin^-1 ( sin(x) ) = sin^-1 ( 14.1 / 27.9)
the left side 'cancels' , leaving you with x
x = sin^-1 ( 14.1 / 27.9)</span><span>Now you need a calculator.
Make sure you are in degree mode.
Calculators can give you answer in radian or degree.
If you get a decimal answer, you are probably in radian mode.
Round up if you want nearest hundredth
30.3563 ≈ 30.36
Round up again if you want nearest tenth
30.36 ≈ 30.4
Hope this helps! :)
</span>
Answer:
minus 15 by 4
Step-by-step explanation:
minus 9 by 4 minus 3 by 2 lcm then add
The volume of a cylinder is the area of the base, times the height.
<span>The area of the circular base is, of course, π times the square of its radius. </span>
<span>So the volume of a cylinder, V, is </span>
<span>V = π h r^2 </span>
<span>where h is the height and r is the radius. </span>
<span>If we multiply the height by 3, the new height is 3h. </span>
<span>If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. </span>
<span>So the new volume would be </span>
<span>π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 </span>
<span>which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. </span>
<span>So the volume of the larger pool is </span>
<span>27 * 37 cubic feet = 999 cubic feet [answer B] </span>
<span>This is an instance of a general rule: </span>
<span>If we multiply ALL the linear dimensions of an object by a factor F, </span>
<span>while keeping the shape the same (often termed "similar" in geometry), </span>
<span>that multiplies the volume by F^3 (the cube of F). </span>
<span>It also multiplies the surface area by F^2. </span>
<span>These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.</span>
