Answer:
The portion of the volume of the cup that is filled with water is 
Step-by-step explanation:
step 1
Find the volume of the paper water cup
The volume of the cone is equal to
we have
substitute
step 2
If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water
Remember that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
In this problem the similar cone has half the height of the complete cone
so
The scale factor is equal to 1/2
therefore
The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube
therefore
The portion of the volume of the cup that is filled with water is
Answer:
Slope
Step-by-step explanation:
In the regression equation y=a+bx, y is dependent variable and x is independent variable. It means that due to change in x the y changes respectively. The "a" is intercept of the model and it shows the value of y when x is zero. The "b" is the slope of the model and it depicts the change in y due to unit change in x. The positive value of b means that as the x increases y also increases and as the x decreases y also decreases. The negative value of b means that as the x decreases y increases and as the x increases the y decreases.The sign of b shows the type of relationship between independent and dependent variable.
For this case we can use the following rule of three:
$ 500 ---------> 100%
$ 400 ---------> x
Clearing x we have:
x = (400/500) * (100) = 80%
Therefore, the percentage of decrease in the rent is:
p = 100-x
p = 100-80
p = 80%
Answer:
a proportion can be used to calculate p is:
p = 100 - ((400/500) * (100))
Answer:
1/2
Step-by-step explanation:
First create like dominators
2/3 -1/6 = 4/6 - 1/6
simplify using subtraction
4/6 - 1/6 = 3/6
Simplify the answer
3/6 = 1/2
Answer:
x = 50°
Step-by-step explanation:
sum of all angles of a quadrilateral is 360°
so, the other unknown angle be y
=》y + 40° + 110° + 80° = 360°
=》y + 230° = 360°
=》y = 360° - 230° = 130°
and the unknown angle + x = 180°
( because they for linear pair )
so, x + y = 180°
x + 130° = 180°
x = 180° - 130° = 50°
hence, x = 50°
