Answer:
<em>The length of the side along the river is 140 m</em>
Step-by-step explanation:
<u>Equations</u>
To solve the problem, we need to recall the area of a trapezium is:
Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.
The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.
Knowing the height is h=100 m, and the area is 10500 m2:
Simplifying:
Dividing by 150:
x = 70 m
2x = 140 m
The length of the side along the river is 140 m
Simplifying
p + -4 = (-9) + p
Reorder the terms:
-4 + p = (-9) + p
-4 + p = -9 + p
Add '-1p' to each side of the equation.
-4 + p + -1p = -9 + p + -1p
Combine like terms: p + -1p = 0
-4 + 0 = -9 + p + -1p
-4 = -9 + p + -1p
Combine like terms: p + -1p = 0
-4 = -9 + 0
-4 = -9
Solving
-4 = -9
The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
<h3>
What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
We have a triangular prism shown in the picture with dimensions.
As we know, the volume of the triangular prism is given by:
V = bhl/2
h = √[2²- (2/2)²]
h = √(4-1)
h = √3 units
V = (2×√3×5)/2
V = 5√3 cubic units
Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
Learn more about the volume here:
brainly.com/question/16788902
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Answer:
<em>5x² + 10x + 2 </em>
Step-by-step explanation:
g(x + 1) = 5(x + 1)² - 3 = 5( x² + 2x + 1 ) - 3 = <em>5x² + 10x + 2</em>
Answer:
the answer would be 4
Step-by-step explanation:
4x2=8
8÷2=4
