Given:
Consider the dimensions of a rectangular prism are 4 in by 3 in by 10 in.
To find:
The length of the diagonal.
Solution:
Length of diagonal of a rectangular prism is:
Where l is length, b is breadth and h is height.
The dimensions of a rectangular prism are 4 in by 3 in by 10 in. So, the length of diagonal of the rectangular prism is:
Approximate the value to the nearest tenth.
Therefore, the length of diagonal of the rectangular prism is 11.2 in.
Answer:
Since the scale is 1:5.
Therefore Actual height is five times Model
3.If model length is 6ft then actual length is 30 ft
4 If actial depth is 20 ft then model depth is 4 ft
5 If actual diameter is2 ft then model diameter id 0.4ft.
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
Answer:
slope is -1/4
y intercept is 11/2
Step-by-step explanation:
the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)
the y intercept we can set up an equation, y= mx + b
we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get
5 = (-1/4)*2+b
solve the equation
b = 11/2
