Answer:
The scale factor is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
so
Let
z----> the scale factor
x----> volume of solid B
y ----> volume of solid A

we have


substitute

![z=\sqrt[3]{\frac{500}{171.5}}=1.429](https://tex.z-dn.net/?f=z%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B500%7D%7B171.5%7D%7D%3D1.429)
The question is an illustration of the Truth in Lending Act, and Dan is responsible for paying $0
<h3>Truth in Lending Act</h3>
The Truth in Lending Act is simply an act that protects people from unfair charges on their credit cards, especially in case of theft and card misplacement.
<h3>The scenarios</h3>
From the question, we have the following scenarios
- His card got lost
- He reported
- Someone else saw the card and purchased goods worth over $200
Because Dan reported when his card got lost, he is protected by the Truth in Lending Act (TILA).
Hence, Dan is responsible for paying $0
Read more about the Truth in Lending Act at
brainly.com/question/1979208
Answer:
114
Step-by-step explanation:
Supplementary means that all the angles in your givens add up to 180 degrees.
Givens
<A + <B = 180
<A = 2x + 6
<B = x + 3
Solution
<A + <B = 180 Substitute for <A and <B
2x + 6 + x + 3 = 180 Combine like terms on the left.
3x + 9 = 180 Subtract 9 from both sides
3x = 180 - 9
3x = 171 Divide by 3
x = 171/3
x = 57
That's not your answer.
<A = 2x + 6
<A = 2*57
<A = 114
Answer:
k = 1/2
y = -108
Step-by-step explanation:
y varies jointly as x and the cube of z
y =kxz^3
We know y=16 when x=4 and z=2 so we can determine k
16 = k (4) 2^3
16 = k*4*8
16 = 32k
Divide each side by 32
16/32 = 32k/32
1/2 = k
y = 1/2 xz^3
Now y=? when x=-8 and z=-3
y = 1/2 * 8 (-3)^3
y = (1/2) *8 (-27)
y =4 (-27)
y = -108