Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
A) .10 d + .25 q = 7.75
B) d + q = 40
Multiplying B) by -.10
B) -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75
Quarters = 25
Therefore, dimes = 15
***************************************************
Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75
Correct!!
Car A Car B
d=rt d = rt
d = ra * 2.4 d = rb 4
ra = rb+22
distances are the same so set the equations equal
ra * 2.4 =rb *4
substitue in for ra
(rb+22) 2.4 =rb *4
distribute
2.4 rb +52.8 = 4 rb
subtract 2.4 rb from each side
52.8 = 1.6 rb
33 = rb
Car b travels at 33 miles per hour
Car a = 33+22
Car a = 55 miles per hour
Answer:
130
Step-by-step explanation:
130 because 130 +15 is equal to 145 and if the angles cross they're the same measure
the common RATIO is 4
Step-by-step explanation:
sana nakatulong ito
