Answer:
1526.0 cubic units
Step-by-step explanation:
Rotating rectangle AKLM you will get cylinder with height KA and base radius KL. From the given data

The volume of the cylinder is

Then

Remember you said the scale shows you 10% heavier.
So that's an increase of 10%
So value = 10% + 100% = 110%
So scale would show 110% of 82
110% of 82
= (110/100) * 82
= 1.1 * 82
= 90.2
OR
We can simply find 10% of 82 and add it to the original 82.
10% of 82
(10/100) * 82
0.1 * 82 = 8.2
8.2 + 82 = 90.2 Same answer as before.
So scale shows 90.2 kg.
Answer:
£191.36
Step-by-step explanation:
Sum the parts of the ratio, 1 + 4 = 5 parts
Divide 320 by 5 to find the value of one part of the ratio.
320 ÷ 5 = 64 ← value of 1 part of the ratio , thus
4 parts = 4 × 64 = 256
Thus he bought 64 first class and 256 second class.
Cost = (64 × £0.67) + (256 × £0.58)
= £42.88 + 148.48
= £191.36
Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
=
, substitute values
=
=
( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D