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
9 x 2 = 18
6 x 3 = 18
and 18 x 1 = 18
Sense the two triangles are congruent you would use CPCTC.
Answer:
No, you can't form a triangle because angles in a triangle add up to 180 degrees.
Step-by-step explanation:
100+50+50= 200 degrees, which means that you cant form a triangle with these measurements because angles in a triangle have to add up to 180 degrees.
Answer:
The cost of each cotton candy bag is $4.
Step-by-step explanation:
Consider the provided information.
Let, the vendor has 
dollar at the starting of each day.
Let, the cost of each cotton candy bag is 
.
Now when she sells a total of 12 bags, she has $128.
.....(1)
After she sells a total of 20 bags, she has $160.
....(2)
Subtract equation 1 from equation 2.
Hence, the cost of each cotton candy bag is $4.
