Answer:
Step-by-step explanation:
Tia wire length = 408 cm as 1 m=100cm
so total 10 pieces = 408/10 = 40.8 cm for one piece
Marta wire length = 540 cm
so total 9 pieces = 540/9= 60 cm for one piece
so martas wire is 19.2 cm longer than tia one piece ( 60-40.2)
To solve this problem you must apply the proccedure shown below:
1- You can apply the Law of sines, as following:
The missing angle is: 180°-65°-45°=70°
- The <span>distance that Jake travels to the store is:
30/Sin(70°)=x/Sin(45°)
x=22.57
- The distance that Maddie travels to the store is:
</span>30/Sin(70°)=y/Sin(65°)
<span> y=28.93
- The diffrence is: 6.36
The answer is: the difference is 6.36 m.</span>
Answer:
Step-by-step explanation:
Try this option:
1. to calculate the difference of the final sequence:
the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;
2. to calculate the first term of the final sequence:
A={3;7;11;15;19;<u>23</u>;27;31;...;407} and B{2;9;16;<u>23</u>;30;...;709}. It means, the first term of the final sequence is 23.
3. to calculate the last term of the final sequence:
if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.
n<(407-23)/28; n<13.71. If n∈Z, then n=13.
So, the last term of the final sequence is 23+28*13=387.
4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:
{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}
