Answer:
Below.
Step-by-step explanation:
Finding the hypotenuse:
Recall the formula of Pythagoras'theorem,
- (Hypotenuse)² = (Base)² + (Perpendicular)²
Given that base = 8 and perpendicular = 15
Plugging the values,we obtain
- H² = 8² + (15)²
- H² = 64 + 225
- H² = 289
- H = √(17*17)
- H = 17
Now applying trigonometric functions:
Recall SOHCAHTOA , it's very helpful.
Sin θ = Sin A = Opposite/Hypotenuse
cos θ = cos A = Adjacent/Hypotenuse
Tan θ = tan A = Opposite/Adjacent
Note: The values in decimal are rounded to nearest hundredth.
The question requires calculating the perimeter of the rectangular r ug
The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Given:
let
length of the rectangular r ug = x inches
Width of a rectangular r ug = <em>(2x + 4 1/4) inches</em>
Perimeter of the r ug = 56 1/2 inches
<em>Perimeter of the r ug = 2(length + width)</em>
56 1/2 = 2{x + (2x + 4 1/4)
113/2 = 2(x + 2x + 17/4)
113/2 = 2(3x + 17/4)
113/2 = 6x + 34/4
113/2 - 34/4 = 6x
(226-34) / 4 = 6x
192/4 = 6x
48 = 6x
divide both sides by 6
x = 48/6
x = 8 inches
So,
length of the rectangular r ug = x inches
= 8 inches
Width of a rectangular r ug = (2x + 4 1/4) inches
= 2(8) + 4 1/4
= 16 + 4 1/4
= 20 1/4 inches
Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Read more:
brainly.com/question/10452031
4m + 23 + n
p + 3
Convert variables to their numbers
4(7) + 23 + 2
8 + 3
Simplify the expression
1. 28 + 23 + 2
8 + 3
2. 51 +2
8 +3
3. 53
8 + 3
4. 53
11
5. 53/11 = 4.82
