1 : 3 : 6
longest piece is 2.5 longer than the shortest piece.
let x be the shortest piece.
x + 2.5 is the longest piece
x/10 + 3/10 + (x+2.5)/10 = 1
x + 3 + x + 2.5 / 10 = 1
2x + 5.5 = 10
2x = 10 - 5.5
2x = 4.5
x = 4.5/2
x = 2.25 shortest piece.
x + 2.5 = 2.25 + 2.5 = 4.75 longest piece.
ratio of the 2nd piece to the 3rd piece is 3:6
2nd piece is half of the 3rd piece
4.75 x 1/2 = 2.375
1 : 3 : 6
2.25 : 2.375 : 4.75
Answer:
a=7.2*1.5=10.8 cm
b=6.3/1.5=4.2 cm

Step-by-step explanation:
<u>Proportional Geometric Shapes
</u>
A) We are given two similar shapes of a logo. They are to be proportional. We only need to find the proportion ratio of two of them to find the rest of the lengths.
The upper sides have 7.5 cm and 5 cm respectively. This gives us the ratio

Which means all the measures of the smaller logo are 1.5 smaller than those of the larger. This means
b=6.3/1.5=4.2 cm
a=7.2*1.5=10.8 cm
B) To paint the logos, we need to cover its surface, so the ratio of the surface is 1.5*1.5=2.25
This means the cost to paint the larger logo is

Answer:
SA = 251.33 yd ^2
V = 301.59 yd ^3
Step-by-step explanation:
Right cylinder 2π = 6.28318530718
Solve for surface area
A =2πrh+2πr2 = 24 x 2π + 2π x 16
A =150.796447372 + 100.530964915
A ≈251.33 yd^2
Right cylinder π = 3.14159265359
Solve for volume
V = πr2h = 16 x 6 = 96π
V = 3.14159265359 x 96
V = 301.592894745
V= 301.59 yd ^3
Answer:
she bought 7 books and 1 game. 1.)each=multiplication. 2.)and= addition.
Step-by-step explanation:
3.)26-5(the game)=21 divide by 3=7 books
4.)p-5=x divided by 3