I know that y=20 and x=50 but will someone explain how to get them. Thanks!
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given that A and B are parallel, you can conclude that 30 = x - y since they are corresponding angles. Also you can conclude that 5y = 2x since they are alternate interior angles. At this point, there is a solvable system of equations set up
30 = x - y
5y = 2x
Now, you must isolate a variable so let's isolate x from the 1st equation. so u just need to add y to both sides, getting x = 30 + y. Now you plug that into the 2nd equation and solve for y. 5y = 60 + 2y. Subtract 2y from both sides. 3y = 60. Divide by 3, y = 20.
Now with your y value, just plug back into original equation (the 1st one). 30 = x - 20. Solve for x by adding 20. X = 50
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To find the volume of a cylinder that the cone fits exactly inside, we can use the formula for the volume of a cone. By solving for the radius and height of the cone, we can then substitute those values into the formula for the volume of a cylinder to obtain the volume.The correct option is C.
To find the volume of a cylinder that the cone fits exactly inside, we need to understand the relationship between the cone and the cylinder. The volume of a cone can be found using the formula V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone. The volume of the cylinder is equal to the volume of the cone, so the volume of the cylinder can also be calculated using the formula V = π * r^2 * h. In this case, the volume of the cone is given as 12 cubic inches. We can set up an equation to find the radius and height of the cone using this volume, and then use those values to find the volume of the cylinder.
Let's solve for the radius and height of the cone:
1.Start with the formula for the volume of a cone: V = (1/3) * π * r^2 * h
2.Substitute the given volume of the cone as 12 cubic inches: 12 = (1/3) * π * r^2 * h
3.Cancel out the 1/3 by multiplying both sides of the equation by 3: 36 = π * r^2 * h
4.Divide both sides of the equation by π to isolate r^2 * h: r^2 * h = 36/π
5.Since we don't have enough information to solve for both r and h, we will express the height h in terms of the radius r.
6.Substitute r^2 * h with 36/π: r^2 * (36/π) = 36/π
7.Simplify the equation by canceling out the π: r^2 * (36/π) = 36/π
8.Multiply both sides of the equation by π/36: r^2 = 1/π
9.Take the square root of both sides to find the radius r: r = 1/√π
10.Now that we have the radius, we can find the height using the equation r^2 * h = 36/π: (1/√π)^2 * h = 36/π
11.Simplify the equation: h = 36
So, the radius of the cone is 1/√π and the height is 36. Using these values, we can calculate the volume of the cylinder:
1. Start with the formula for the volume of a cylinder: V = π * r^2 * h
2. Substitute the values we found for the cone into the formula: V = π * (1/ √π)^2 * 36
3. Simplify the equation: V = 36 cubic inches
the volume of the cylinder that the cone fits exactly inside is 36 cubic inches.
Therefor the correct option is C.
Learn more about volume of a cone and cylinder here:
#SPJ2
Volume of a cylinder = r² π h = 3 · V ( cone ) = 3 · 12 = 36 in³
Answer: C )
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Answer:
To begin this problem we call "the sum of the number" x. Now we have the equation 2(x)+5=20. This is the answer because it said to translate the equation. I think 2x+5+20 would be the correct translation.
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Given :
Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.
To Find :
How many cups of sugar does she need to make the cookies for her party.
Solution :
Let, cups of sugar required to make cookies for her party is x.
So,
Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.
Hence, this is the required solution.
Answer: 25/8
Step-by-step explanation:
We would first turn 2 1/2 and 1 1/4 into an improper fraction.
That leaves us with 5/2 and 5/4.
Then, because she needs to make 5/2 dozen cookies and needs 5/4 cups of sugar for every batch, we would multiply 5/2 and 5/4 together.
Therefore x, or the amount of sugar she needs, is 25/8
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Answer:
it's Truen
Step-by-step explanation:
a p l e x
State True or false: As long as its argument is restricted to [0,2pi] the polar form of a complex number is unique.
Its True
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3200/2=1600
So the answer is 1600