Answer:
The total number of pupils and their teachers = 530
Step-by-step explanation:
No. of girls in the school = 280
The ratio boys to girls is 3:4 and that of teachers to girls is 1:7
∴ The ratio boys to girls is 3x : 4x where, 4x = 280
and The ratio of teachers to girls is x : 7x where, 7x = 280
4x = 280
= x
70 = x
So, the no. of girls in the school = 4x = 4(70) = 280 and the no. of boys in the school = 3x = 3(70) = 210
7x = 280
= x
40 = x
So, the no. of girls in the school = 7x = 7(40) = 280 and the no. of teachers in the school = x = 40
∴ The total number of pupils and their teachers = 280 + 210 + 40
= 530
Answer:
a) 14,1 cm
Step-by-step explanation:
If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.
We use Pytagoras Theorem to find out the length (L) of the diagonal given that:
L² = (20)² + (20)²
L² = 2* (20)²
L = √2 * 20
L = 1,4142* 20
L = 28,28 cm
L diagonal in the square is a diameter of the circle then radius of a circle is:
r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm
Answer: CD = 10
Identify the given information.
FG = 15
GE = 21
FE = 36
CD = x
DE = x + 4
Form your equation. Due to the Side-Splitter Theorem, FG/GE = CD/DE.
15/21 = x/x + 4
Cross-multiply and solve.
15(x + 4) = 21x Distributive Property
15x + 60 = 21x Subtract 15x from both sides
60 = 6x Divide by 6 to both sides
x = 10 Answer!
Answer:
Both aren't proportional
Step-by-step explanation:
Whenever they are simplified they don't add up to the same fraction
Sorry for my bad hand writing, hopefully you can still read it :)
