Answer:
Kyle
Step-by-step explanation:
<u>Kyle:</u>
Kyle’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video games.
<u>Victor:</u>
Victor’s parents told their son that he can play 30 minutes for every hour of homework or reading time he completed. If Victor spends 5 hours doing homework or reading, then he could play
minutes
that is
hours 
minutes (less than 3 hours).
Hence, if both boys spend the same amount of time on homework and reading this week, then Kyle will have more time to play video games.
Answer:
<h2>a)
483.6cm²</h2><h2>b)
850.1 cm³</h2>
Step-by-step explanation:
Given the slant height 's' and its radius 'r' to be 15cm and 8cm respectively.
the total surface of the cone A = πrs+πr² and the volume is expressed as
V = 1/3πr²h
For the surface area of the cone;
Given parameters
radius = 8 cm and slant height s = 15 cm
Total surface area A = π(8)(15) + π(8)²
A = 90π+64π
A = 154π
If π = 3.14
A = 154(3.14)
A = 483.56cm²
A = 483.6cm²
Hence the total surface area of the cone to the nearest tenth is 483.6cm²
For the volume of the cone;
V = 1/3πr²h
Using pythagoras theorem to get the height of the cone;
l² = h²+r²
h² = l²-r²
h² = 15²-8²
h² = 225-64
h² = 161
h = √161
h = 12.69cm
V = 1/3π* (8)² * 12.69
V = 1/3π* 64 * 12.69
V = 1/3*3.14* 64 * 12.69
V = 2550.1824/3
V = 850.06 cm³
V = 850.1 cm³
Hence, the volume of the cone is 850.1 cm³ to the nearest tenth.
Answer:
1. 117 sq. in.
2. 168 sq. in.
3. 99 sq. in.
Step-by-step explanation:
1. base x height = area
13 x 9 = 117 sq. in.
2. 1/2 x height x (base + base)
1/2 x 14 x (15 + 9)
1/2 x 14 x 24
Multiply 1/2 by 14 to get 7
7 x 24 = 168 sq in.
3. 1/2 d x d
1/2 x 18 x 11
Multiply 1/2 by 18 to get 9
9 x 11
Multiply 9 x 11 to get 99
9 x 11 = 99 sq. in.
Divide by three on both sides then end up with x+2=3 then x=1
Amount of the tip: 2.70
Final cost: 17.70
hope that helped ;p
