Answer:
.0022
Step-by-step explanation:
Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
Answer: B. g(x) = |x| - 5
Step-by-step explanation: To translate an absolute value graph (|x|) you have to subtract 5 from the absolute value from the equation |x| but not from the value x. For example, if you did g(x) = |x - 5| then you would get a graph that is moved 5 spaces to the right. This is not what we want. Likewise if we did g(x) = |x + 5| then we would get a graph moved 5 spaces to the left. This is not what we want either.
To get a translated graph that moves down the y-axis (vertical axis), we have to subtract the equation |x| 5 units. This then moves it down 5 units to the y axis from the center.
We must look first for the properties given, so we have:
Rectangle - four sides, two pairs of opposite sides are parallel, four right anglesQuadrilateral - a four-sided figureRhombus - four sides, two pairs of opposite sides are parallel, all sides equal
So we're finding for a shape that has four sides that are all equal, with two pairs of parallel sides, and has four right angles. So from this description, we can say that it is a square. Squares have two pairs of parallel sides (like a rhombus and rectangle), four right angles (like rectangles), and four sides that are equal (like a rhombus). A square is also both a rectangle and a rhombus.
Answer:
4/15
Step-by-step explanation:
7/15 - 3/15 = 4/15