1 answer:
Answer:
Total money Betsy spent on T-shirt = £ 16.5
Total money Betsy spent on Bag = £ 28.5
Step-by-step explanation:
As given, Total money Betsy have = £ 75
Given that Betsy saved 40% of £ 75
⇒Betsy saved = £ 30
So, total money spent on T-shirt and bag = £ 75 - £ 30 = £ 45
Let Betsy spent money on T-shirt = x
Betsy spent money on Bag = y
⇒ x + y = £ 45 ........(1)
As given, She spent £12 more on the bag than she spent on the T-shirt.
⇒ y = £ 12 + x
Put the value of y in equation (1), we get
x + £ 12 + x = £ 45
⇒ 2x + £ 12= £ 45
⇒ 2x = £ 45 - £ 12
⇒ 2x = £ 33
⇒ x = £ = £ 16.5
⇒ x = £ 16.5
⇒ y = £ 12 + £ 16.5 = £ 28.5
∴ we get
Total money Betsy spent on T-shirt = x = £ 16.5
Total money Betsy spent on Bag = y = £ 28.5
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Answer:
The distance of the foot of the ladder to the building is 14 ft.
Step-by-step explanation:
The length of ladder = 20 ft
Angle formed by ladder with level ground, θ = 46
We are required to find out the distance of the foot of the ladder from the building
The above question can be found out by using trigonometric relations as follows;
The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building
The hypotenuse side is the length of the ladder = 20 ft
Therefore;
Adjacent side of triangle = Hypotenuse × cosθ
∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ
Distance of the foot of the ladder from the building = 20 ft × cos(56)
Distance of the foot of the ladder from the building = 13.893 ft
To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.