A circle has 360 degrees
so circumference = (360 / 60) * 3 = 6*3 = 18 feet
Answer:
Step-by-step explanation:
d = 2
arc length of semicircle = ½×circumference = ½×πd = π
perimeter of semicircle = π + d = π+2
Consider the vertex form of the parabola.<span><span>y=a<span><span>(x+h)</span>2</span>+k</span><span>y=a<span><span>(x+h)</span>2</span>+k</span></span>Rewrite the function in terms of <span>xx</span> and <span>yy</span>.<span><span>y=<span>x2</span>+6x−7</span><span>y=<span>x2</span>+6x-7</span></span>Complete the square on the right side of the equation.<span><span><span><span>(x+3)</span>2</span>−16</span><span><span><span>(x+3)</span>2</span>-16</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=<span><span>(x+3)</span>2</span>−16</span><span>y=<span><span>(x+3)</span>2</span>-16</span></span>Since <span>33</span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span>33</span> from both sides.<span><span>x=−3</span><span>x=-3</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=1</span><span>a=1</span></span><span><span>h=−3</span><span>h=-3</span></span><span><span>k=−16</span><span>k=-16</span></span>Since the value of <span>aa</span> is positive, the parabola opens up.Opens UpFind the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span><span>(−3,−16)</span><span>(-3,-16)</span></span>Find <span>pp</span>, the distance from the vertex to the focus.<span><span>14</span><span>14</span></span>Find the focus.<span><span>(−3,−<span>634</span>)</span><span>(-3,-<span>634</span>)</span></span>Find the axis of symmetry by finding the line that passes through the vertex and the focus.<span><span>x=−3</span><span>x=-3</span></span>Find the directrix.<span><span>y=−<span>654</span></span><span>y=-<span>654</span></span></span>Use the properties of the parabola to analyze and graph the parabola.Direction: Opens UpVertex: <span><span>(−3,−16)</span><span>(-3,-16)</span></span>Focus: <span><span>(−3,−<span>634</span>)</span><span>(-3,-<span>634</span>)</span></span>Axis of Symmetry: <span><span>x=−3</span><span>x=-3</span></span>Directrix: <span>y=−<span><span>654
I sorta shortened the steps a bit if you need me to explain any more steps I will just ask.
I am sure you probably went over some of this in your class that is why I skipped a few steps so you would at least learn a little bit hehe.
I really hope this helps you.
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Answer:
200.5 km
Step-by-step explanation:
So we can break up this irregular polygon into many smaller easier to calculate kind of polygons like rectangle, or triangles.
We can break up this figure into 4 smaller ones:
3 rectangles:
a) a 23 by 5 size
b) a 12 by 4 size
c) a 4 by 5 size
1 triangle
a) 7 by 5 size
You find the area and add them up to get 200.5 km^2
Please help me, i need branliest answers. I hope u help me:)
Answer:
4578.12 ft³
Step-by-step explanation:
Volume of a cylinder is: V = πr²h
Insert the information into the formula: V = (3.14)(81)(18) = 4578.12
