A, b, c - the lengths of the sides of the triangle
and a ≤ b ≤ c
then:
a + b > c and if the triangle is an acute triangle then a² + b² > c².

Answer:
£11.85
Step-by-step explanation:
In the question, we are told that:
In 2016 she earned a monthly salary of £2,100
In 2017 she had a 3% raise
This means 3% of £2,100
3/100×£2,100 = £63
This means her salary for 2017 =
£63 + £2,100 =£2,163
Step 2
We are told in the question that she worked 42 hours per week for 45 weeks in 2017
Since her monthly pay for 2017 = £2,163
She worked 42 hours per week
There are 7 days in one week
The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day
4.345 weeks= 1 month
The number of hours she worked per month = 42 hours × 4.345 weeks
= 182.49 hours.
We can say that for 182.49 hours she was paid = £2,163
Her average pay per hour is calculated as:
If 182.49 hours = £2,163
1 hour = represented by Y
Cross multiply
182.49Y = £2,163
Y = £2,163 ÷ 182.49
Y = £11.852704258
Approximately = £11.85
Therefore, Elise Average pay per hour for the year = £11.85
Answer:
9 labours
Step-by-step explanation:
In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.
In indirect proportion, if one quantity increases, the other decreases and vice versa.
As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.
6 labours => 12 days
x labours => 8 days
Since its an inverse proprotion, multiply 6 with 12, and x with 8.
8x = 6 × 12
x =
∴ x = <u>9 labours</u>
6-7n=29 would be your answer
We can say that x is the largest number.
So the sum is x + (x - 1) + (x - 2) + (x - 3) + (x - 4) = -5
Now solve for x:
x + x + x + x + x - 1 - 2 - 3 - 4 = -5
5x - 10 = -5
5x = 5
x = 1
So the largest number is 1.
Check: 1 + 0 + -1 + -2 + -3 = -2 + -3 = -5 so 1 is correct.