Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒ 
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒ 
⇒ 
⇒ 
⇒ 
feet
The length of the ladder = 17 feet to its nearest tenth.
Answer:
81 in²
Step-by-step explanation:
The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.
The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.
Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length
Where,
Base area = s² = 5² = 25 in²
Perimeter of base = 4(s) = 4(5) = 20 in
Slant height = 5.6 in
Surface area = 25 + ½(20) × 5.6
= 25 + 10 × 5.6
= 25 + 56
Surface area = 81 in²
Answer:
a > 8
Step-by-step explanation:
a-3>5
Add 3 to each side
a-3+3>5+3
a > 8
The third one because each banner costs $16 and x is the number of banners, $32 is just a one time fee so there is no x.
