Answer:
The probability of him pulling a red marble is 12 to 30. The probability of him pulling a blue or purple marble is also 12 to 30.
Step-by-step explanation:
7+5+12+6=30 (all colors)
12 to 30 red ones
7+5+12+6=30 (all colors) and
7+5=12 (blue + purple)
12 to 30 blue or purple
Answer:
7: 12 / 6 <- answer
9: 12 / 2 <- answer
The base angles of an isosceles triangle are equal
The base angles are 15 degrees, while the vertex angle is 150 degrees
The base angles are given as:
Base = (6a- 3) and (a + 12)
So, we have:
![\mathbf{6a -3 =a + 12}](https://tex.z-dn.net/?f=%5Cmathbf%7B6a%20-3%20%3Da%20%2B%2012%7D)
Collect like terms
![\mathbf{6a -a =3 + 12}](https://tex.z-dn.net/?f=%5Cmathbf%7B6a%20-a%20%3D3%20%2B%2012%7D)
![\mathbf{5a = 15}](https://tex.z-dn.net/?f=%5Cmathbf%7B5a%20%3D%2015%7D)
Divide both sides by 5
![\mathbf{a = 3}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba%20%3D%203%7D)
Substitute 3 for a in Base = (6a- 3),
![\mathbf{Base = 6 \times 3 - 3}](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%20%3D%206%20%5Ctimes%203%20-%203%7D)
![\mathbf{Base = 18 - 3}\\](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%20%3D%2018%20-%203%7D%5C%5C)
![\mathbf{Base = 15}](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%20%3D%2015%7D)
So, the base angle is 15 degrees.
The vertex angle is calculated using:
![\mathbf{Vertex=180 -2 \times Base}](https://tex.z-dn.net/?f=%5Cmathbf%7BVertex%3D180%20-2%20%5Ctimes%20Base%7D)
So, we have:
![\mathbf{Vertex=180 -2 \times 15}](https://tex.z-dn.net/?f=%5Cmathbf%7BVertex%3D180%20-2%20%5Ctimes%2015%7D)
![\mathbf{Vertex=150 }](https://tex.z-dn.net/?f=%5Cmathbf%7BVertex%3D150%20%7D)
Hence, the vertex angle is 150 degrees
Read more about isosceles triangles at:
brainly.com/question/25739654
120 + 125x = y
120 + 125(12) = y
120 + 1500 = y
The answer is $1620 for 12 months.
Answer:
The trace of water left on the floor is 62769 cm long.
Step-by-step explanation:
I will assume that the tire has a radius is 30 cm. The tire perimeter is
cm. Since the bycicle makes 333 rotations, then the tire will leave a trace of length 333 times the perimeter of the tire, in other words, it will leave a trave of 333*60 π = 62769 cm.