Answer:
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus
4 parts = 4 × £60 = £240 ← Alvin's share
5 parts = 5 × £60 = £300 ← Simon's share
× £240 = £120
× £300 = £30
Theo receives £120 + £30 = £150 , which as a fraction is
( divide numerator/ denominator by 30 )
= ← in simplest form
You would use the cosine rule for this as you have 2 lines and are given the angle between them
The angle can be figured out easily as the clock has 12 equal components, meaning each component is 360/12 which is 30
As there are 5 components between A and B the angle is 30*5 =150
You can plug all of this into the cosine rule
a^2= b^2+c^2-2bcCos(A)
So a = sqrt( 10^2 +7^2 -(2*10*7) cos150)
a=16.4 to 3 sf
Answer:
2³×7
Step-by-step explanation:
Exponent rule added:
12xx^2 -9x^2
rewrite 9 as 3 x 3, rewrite 12 as 3 x 4
3 * 4xx^2 - 3 * 3x^2 ( * is multiply)
factor common terms:
3x^2(4x-3) - answer.
