Answer:
x = -1
Step-by-step explanation:
-2(3x-4)=4(x+3)+6
Distribute
-6x +8 = 4x +12 +6
Combine like terms
-6x +8 = 4x+18
Add 6x to each side
-6x+6x +8 = 4x+6x +18
8 = 10x+18
Subtract 18 from each side
8-18 =10x+18-18
-10 = 10x
Divide each side by 10
-10/10 = 10x/10
-1 =x
Answer:
2miles
Step-by-step explanation:
Tina should make 31 inch tall model to replicate 155 feet tall monument.
Step-by-step explanation:
This problem can be solved by direct unitary methods easily-
Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model
Scale= original dimension/ model dimension
Model is the miniaturised representation of a substance.
The monument is 155 feet tall
Tina replicates it with a scale 1inch: 5 feet
Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.
Hence Tina needs to make 31-inch tall model.
The answer is Hx = ½ Wsin θ cos θ
The explanation for this is:
Analyzing the torques on the bar, with the hinge at the axis of rotation, the formula would be: ∑T = LT – (L/2 sin θ) W = 0
So, T = 1/2 W sin θ. Analyzing the force on the bar, we have: ∑fx = Hx – T cos θ = 0Then put T into the equation, we get:∑T = LT – (L/2 sin θ) W = 0
