Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.
To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.
, where, a, b and c represent base sides of prism and h represents height of the prism.
Upon substituting our given values in above formula we will get,



Therefore, lateral surface area of our given container is 270 square cm.
Answer:
x = 5/(10 - a - b)
Step-by-step explanation:
Solve for x:
4 + 3 x - a x = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = x (b - 7) + 9
Subtract (b - 7) x + 4 from both sides:
x (10 - a - b) = 5
Divide both sides by 10 - a - b:
Answer: x = 5/(10 - a - b)
Y = 5x
x = 5
y = 5(5)
y = 25
The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

Step-by-step explanation:
We will use the slope intercept form of the equation to make an equation of the given line
The slope-intercept form is:

Here m is the slope and b is the y-intercept
Given
m = 2/3
Putting the value of slope

The y intercept is -5 so we will put in the equation

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

Keywords: Equation of line, slope-intercept form
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Answer:Yes it is possible
Step-by-step explanation: