Number of people: 80
Number of Men: 47
Number of Women: 33
Ratio that best represents the number of men and the number of women:
47 : 33
Answer:
h = 5
Step-by-step explanation:
area = 1/2 base × hight
base = 3 +h
hight =9 + 6 = 15
60 = 1/2 × 15 × (3+h)
120/15 = 3 + h
8 = 3 + h
h = 5
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get

Now in Δ PQT and Δ QRS we have

Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
Answer:
7-3√2/31
Step-by-step explanation:
Rationalise it and you'll get your answer.
Answer:
B. Perimeter of a square and
C. Side length of a square
Step-by-step explanation:
if n= side length of square then
- Area of square is

- Perimeter of a square is 4×n
- diagonal length of a square is
× n
Thus,
Perimeter of square can be expressed as
×diagonal length of a square
Side length of a square can be expressed as
×diagonal length of a square
but Area of square is
×n×diagonal length of a square
As a Result, Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>