Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
Answer:
x = 7
Step-by-step explanation:
Given
4x - 2(x - 2) = - 4 + 5x - 13 ← distribute left side and simplify
4x - 2x + 4 = 5x - 17
2x + 4 = 5x - 17 ( subtract 5x from both sides )
- 3x + 4 = - 17 ( subtract 4 from both sides )
- 3x = - 21 ( divide both sides by - 3 )
x = 7
The building is 24 (whatever’s you want ex. Meters, Feet) high. Because 38.7=tan^-1(height/30). Or cos(38.7)=30/hypotenuse. Hypotenuse=30/cos(38.7
Note the equal sign. What you do to one side, you do to the other.
Do the opposite of PEMDAS. First, add 33 to both sides
4x - 33 (+33) = 7 (+33)
4x = 40
Next, divide by 4
4x/4 = 40/4
x = 40/4
x = 10
10 is your answer
hope this helps
