Answer:
hypotenuse is 22.47 m
Step-by-step explanation:
The length of both legs of a right angle triangle are 8m and 21 m
We need to find the hypotenuse
To find hypotenuse we use Pythagorean theorem
Hypotenuse is AC and other two legs are AB and BC
Hypotenuse ^2 = 8^2 + 21^2
hypotenuse = 
= 
= 
= 22.47
So the length of the hypotenuse is 22.47 m
Answer: price of the watch before the discount is £23.5825
Step-by-step explanation:
Let x represent the original price of the watch.
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55. This price includes 15% loyalty discount. The value of the discount is
15/100 × 53.55 = 8.0325
This means that the original cost of both items is
53.55 + 8.0325 = 61.5825
Before the discounts, the trainers were priced at £38. Therefore,
38 + x = 61.5825
x = 61.5825 - 38
x = 23.5825
Answer:
X Company charges 
more than Company Y
Step-by-step explanation:
Given:
Cost of X company = 
Cost of Y Company =
for n minutes
Cost of X company for n minutes = 
Cost of Y Company for n minutes =
Difference for n minutes we get by Subtracting Cost of Y Company for n minutes by Cost of X company for n minutes
Difference for n minutes = 
=
X Company charges more than Company Y
Answer:
c) 2 + 3 = 5 TRUE
d) 2 + (–3) = -1 True
Step-by-step explanation:
When adding integers (positive and negative whole numbers), there are three cases:
- Positive and positive increases and sum is positive. Ex. 4 + 6 = 10
- Positive and negative where you subtract and take the sign of the larger number. Ex. 3 + -8 = -5 or -3 + 8 = 5
- Negative and negative decrease and the sum if negative. Ex. -4 + -6 = -10.
Use these rules to simplify each expression.
a) 2 + (–3) = -1 not 1 FALSE
b) –3 + 2 = -1 not 5 FALSE
c) 2 + 3 = 5 TRUE
d) 2 + (–3) = -1 True
