Answer: Total Volume = 15π + 18 π= 33π cubic mm
Step-by-step explanation:
What is the volume of the composite figure? Leave the answer in terms of π.
_33π mm3
We have a cone here conjoined to a semi-sphere.
so
Cone volume: C = (1/3)*(πr^2) * h
semi-sphere volume : V = (1/2)* (4/3) * (π * r^3)
r = 3 mm and h = 5mm
so C = (1/3)*(π (3)^2) * 5 = 15π cubic mm
V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm
Total Volume = 15π + 18 π= 33π cubic mm
Answer:
The difference in the lengths of the two alligators = 3
Step-by-step explanation:
First, let us make the lengths improper fractions, then we will find the difference from there.
Alligator 1:
Length = 
To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]
Alligator 2:
Length = 
Now Let us find the difference between the lengths:
Therefore the difference in the lengths of the two alligators = 3
Answer:
Hope the picture will help you
Answer:
Definitions:
The third quartile, denoted by Q3 , is the median of the upper half of the data set. This means that about 75% of the numbers in the data set lie below Q3 and about 25% lie above Q3;
The upper half of a data set is the set of all values that are to the right of the median value when the data has been put into increasing order;
First, we verify data in increasing order:
21, 24, 25, 28, 29, 35, 37, 38, 42 ( okay);
The median is 29;
Therefore, the upper half of the data is {35, 37, 39, 42};
Q3 = ( 37 + 39 ) / 2 = 76 / 2 = 38;
Step-by-step explanation:
Answer:
Step-by-step explanation:
- La gráfica de una función de proporcionalidad directa es una recta que pasa por el origen de coordenadas.
- En consecuencia, para representarla sólo necesitamos un punto y el origen, los cuales uniremos mediante una línea recta. Para obtener dicho punto usaremos la ecuación.
