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Mrac [35]
3 years ago
14

If d varies directly with t^2, and d=192 when t=8, find d when t=6

Mathematics
1 answer:
solong [7]3 years ago
8 0
As d=k t^2       so putting d= 192 for t =8 we get k= 192/(8^2) =3  so k=3 

thus d = 3t^2

now if t=6 the d = 3*(6^2) = 3*36

so d = 108
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Help please it says round your answer to the nearest hundredth
Snowcat [4.5K]

Answer:

∠ B ≈ 62.73°

Step-by-step explanation:

Using the sine ratio in the right triangle.

sinB = \frac{opposite}{hypotenuse} = \frac{AC}{AB} = \frac{8}{9} , thus

∠ B = sin^{-1} (\frac{8}{9} ) ≈ 62.73° ( to the nearest hundredth )

6 0
3 years ago
Can someone help me please
artcher [175]

Answer:

$22.75

Step-by-step explanation:

C = $30.25 - ($0.25/min)x, where x is the number of minutes spent on calls

Here, 30 minutes of calls result in this amount of $ left on the card:

C(30) = $30.25 - ($0.25/min)(30 min) = $22.75

6 0
3 years ago
In a recent survey about the types of transportation used for vacation, 36% of the 200 people surveyed chose airplanes, 53% chos
tigry1 [53]
Fist lets find the % of people using boats 
100%- (36+53+2)= 9%
then find the number of people of 9%
200= 100%
B=9%
100B=200x9
B= 18
8 0
3 years ago
jill has $9.96 in nickles,pennies, and dollar bills. she has 12 more pennies than nickles and fove fewer dollar bills than nickl
AleksandrR [38]
Number of pennies:P
Number of nickels:N
Number of dollar bills:D
P=N+12
N=D+5
1P+5N+100D=996
^given
Therefore 
P=(D+5)+12
P=D+17
Plug back into main equation
(D+17)+5(D+5)+100D=996
Combine like terms 
106D+42=996
106D=954
D=954/106=9

9 Dollar bills

N=D+5
N=(9)+5=14

14 Nickels

P=N+12
P=(14)+12=26

26 Pennies

26*1+14*5+9*100=996

Final answer:
9 Dollars
14 Nickels
26 Pennies
8 0
4 years ago
Maria put the letter tiles A,E,I,O, and U in a box. Each letter is on two separate tiles in a box.what is the probability of ran
d1i1m1o1n [39]

5 letters 2 tiles each = 10 total tiles

2 are A and 2 are E so 4 possible tiles

 she has a 4/10 = 2/5 probability

4 0
4 years ago
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