answers
1) 70
2) 3,840
3) 24
4) 72
<u>Explanation</u>
Q1
The surface area of a cone is given by;
S.A = 2Πrl + Πr²
Where r is the radius of the base and l is the lateral height.
Πr² = area of the base = 20 in²
2Πrl = Area of the lateral surface
= 2.5 × 20
= 50
Area of the cone = 50 + 20
= 70 in²
Q2
The sides of the Pythagorean triangle with legs of 12 and 16.
The 3rd side will be;
c = √(12² + 16²)
= √400 = 20
Volume = 12 × 16 × 20
= 3,840
Q3
The volume of a cone is given by;
volume = 1/3 Π r² h
This shows that the volume of a cone is a third the volume of the cylinder.
∴ Volume of the cylinder = 12 × 3
= 24 ft³
Q4
The volume of any regular figure is;
Volume = base area × height
When the dimensions area usually 3. Let these dimensions be x, y and z.
∴ volume = x × y × z = 9
Doubling the dimensions;
Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9
= 8 × xyz = 8 × 9
= 72 ft²
Answer:
???
Step-by-step explanation:
What is the question?
Answer:
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%
Explanation:
Let number of students be 100.
At Taylor Street School, 40% of the students bought lunch in the cafeteria today
Number of students bought lunch = 100 x 40/100 = 40
Of the students who bought lunch in the cafeteria today, 30% chose pizza as their entree
Number of students bought pizza = 40 x 30/100 = 12.
Probability of an outcome = Number of favorable outcome/ Total number of outcome
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = Number of students bought pizza/Total number of students
= 12/100 =0.12 = 12%
Probability that she or he bought lunch in the cafeteria and chose pizza as an entree = 12/100 =0.12 = 12%
D = 390mi
r = 60 mi/h
390/60 = 6.5
(t) = 6.5 h
Answer:
The overall average is $148,000
Step-by-step explanation:
120,000 740,00 divided by 5 is 148,000
120,000
120,000
190,000
+ 190,000
-------------
740,000
