Answer:
5.00
Step-by-step explanation:
1 quart is 32 ounces if you add 16+16=32
and 30 divided by 12 = 2.5
if one carton is 16 ounces and you add 2 cartons to make a quart which is 2.5+2.5=5.00
Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
We know the bottom triangle is a 45, 45, 90 triangle, so the hypotenuse is √2 times the value of the legs:
(√2)(√2)
=√4
=2
Now, we can use this to solve for y. The top triangle is a 30, 60, 90 triangle. The side we found above is the side across from the 30 degree angle. The side opposite the 60 degree angle is √3 times the side across the 30 degree angle. Therefore, we can solve for y by multiplying 2 by √3
y=2√3
Answer:
4 * 2y + 4 * 1
4(2y + 1)
Distributive property
Step-by-step explanation:
8y + 4
We can factor out a 4 out of both as both are divisible by 4
8y / 4 = 2y
4 / 4 = 1
So 8y + 4 is the same as saying 4 * 2y + 4 * 1
This can be written as 4(2y + 1) which is written using the distributive property