Answer:
1 : 6
Step-by-step explanation:
Calculate the perimeter
perimeter = 2(3x + 5) + 2(6x + 10) = 6x + 10 + 12x + 20 = 18x + 30
perimeter = 18x + 30 ← take out a common factor of 6 from both terms
= 6(3x + 5)
ratio of width : perimeter
= 1(3x + 5) : 6(3x + 5) ← divide both parts by (x + 5)
= 1 : 6
Sine rule
a/Sin(A) = b/Sin(B) = c/Sin(C)
b
C / |
a / _| A
B c
We know that a = 70 degrees and A = 25 foot
So 70/Sin(25) = Something
We also know we want C, and that c = 90 degrees
So 70/Sin(25) = 90/Sin(C)
Then you have to rearrange the equations. Start with Multiply all by Sin(C)
So [Sin(C)][70/Sin(25)] = 90
Then divide everything by 70/Sin(25)
So Sin(C) = 90/[70/Sin(25)]
Now you want to isolate C, so Sin-1 everthing
So C = Sin-1{90/[70/Sin(25)]}
So C = 32.91309534
To the nearest tenth, 32.9ft
Hope that helps :)
Answer:
12x=10(25+x)
Step-by-step explanation:
Jim's rate=x
Pete's rate=y
Jim and Pete lays the same number of tiles.
So we have,
12x=10y
Pete's can lay 25 more tiles than Jim per hour
We have
y=25+x
Substitute y=25+x into 12x=10y
12x=10y
12x=10(25+x)
12x=250+10x
12x-10x=250
2x=250
x=250/2
=125
x=125
12x=10(25+x) is the equation used to find the rate that Jim can lay tiles
Answer:
6m
Step-by-step explanation:
i am not sure
Assuming that the 4.8% interest rate is an annual interest rate, then, after one year, with a principal of $3,000 we would be able to win 4.8% of $3000:
Divide 144 over 12 to find the monthly earnings:
Therefore, with a principal of $3,000 we would be earning $12 interest in 1 month.
For the earnings on the first month to be equal to $10, then you would have to win $120 annually, and $120 must be 4.8% of the principal. To find which quantity satisfies that 4.8% of it is equal to $120, divide 120 over 4.8%:
Therefore, the principal must be equal to $2500 for you to win $10 on the first month, and it would indeed be correct to say that if you open an account with $3000 you will earn at least $10 interest in 1 month.
