Answer:(a)x^2+2y^2=2
(b)In the attached diagram
Step-by-step explanation:Step 1: Multiply both equations by t
xt=t(cost -sint)\\ty\sqrt{2} =t(cost +sint)
Step 1: Multiply both equations by t
xt=t(cost -sint)\\ty\sqrt{2} =t(cost +sint)
Step 2:We square both equations
(xt)^2=t^2(cost -sint)^2\\(ty)^2(\sqrt{2})^2 =t^2(cost +sint)^2
Step 3: Adding the two equations
(xt)^2+(ty)^2(\sqrt{2})^2=t^2(cost -sint)^2+t^2(cost +sint)^2\\t^2(x^2+2y^2)=t^2((cost -sint)^2+(cost +sint)^2)\\x^2+2y^2=(cost -sint)^2+(cost +sint)^2\\(cost -sint)^2+(cost +sint)^2=2\\x^2+2y^2=2 hopes this helps
Hey there! I'm happy to help!
To find the volume of a cone, you multiply the base by the height and then divide by three.
First, we need to find the base. A cone has a circle for the base. To find the area of a circle, we square the radius and multiply it by pi (we will use 3.14).
4²=16
16×3.14= 50.24
Now, we multiply our base by the height.
50.24×8=401.92
Finally, we divide by three.
401.92÷3≈133.973 (to nearest thousandth)
Therefore, the volume of the cone is about 133.973 units cubed. If you were to use exact pi, it would be more like 134 because of all those decimals after pi!
Now you can find the volume of cones!
I hope that this helps! Have a wonderful day!
Perimeter = 18 miles
Perimeter = 2a + 2b
2a + 2b = 18
a = ?
b = 7
18 = 2a + 2*7
18 = 2a + 14
2a = 18 - 14
2a = 4
a = 2
Area = a * b
Area = 2 * 7 = 14 miles2
Common Fractions with Decimal and Percent<span> Equivalents ... </span>5/9<span>, 0.555… ... Tables and Formulas · Common Repeating Decimals and Their </span>Equivalent<span> Fractions ...</span>
C.
This is because the x vale is clearly after the 6 and the y value is right on 5
