Answer: k = 6mm
Step-by-step explanation:
The shapes are similar, which means that each side on the triangle is proportionally similar to its corresponding side on the other triangle.
We can use proportions to solve for k:
4 and k are proportionally similar and 28 and 42 are proportionally similar.
You can then cross-multiply to get this:
28k = 168
k = 6
The missing side is 6 mm long.
Answer:
Step-by-step explanation:
From the table attached,
x-intercept of the linear function is, the value of 'x' when f(x) = 0
x = 3 [x-intercept]
Function 'g' is the sum of 2 and the cube root of the sum of three time x and 1.
g(x) =
For x-intercept,
g(x) = 0
3x + 1 = (-2)³
3x + 1 = -8
3x = -8 - 1
3x = -9
x = -3
Therefore, the x-intercept of function 'f' is different or greater than the x-intercept of function g.
Answer:
The ratio of the intensities is roughly 6:1.
Step-by-step explanation:
The intensity I() of an earthquake wave is given by:
<em>where P: is the power ans d: is the distance. </em>
Hence, the ratio of the intensities of an earthquake wave passing through the Earth and detected at two points 19 km and 46 km from the source is:
<em>where I₁ = P/4πd₁², d₁=19 km, I₁ = P/4πd₂² and d₂=46 km </em>
Therefore, the ratio of the intensities is roughly 6:1.
I hope it helps you!