A person with a mental age of 13 and a chronological age of 20 has an IQ of 104.104. What is the chronological age of a person with a mental age of 25 and an IQ of 100

Chronological ageC=40

Step-by-step explanation:

The IQ= Q varies directly as a persons metal age M and inversely as the person's chronological age C.

Mathematically it is written as Q=kM/C

Where M= mental age and C = chronological age

Q= 104.104= 13k/20

Cross multiply

104.1 ×20 = 13k

2080.2 = 13k

K= 2080/13

K=160

Rewriting the equation to : Q= 160M/C

Q=160×25/C

100=4000/C

Cross multiply

100C=4000

C= 4000/100

C= 40

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9