9514 1404 393
Answer:
78.5 km
Step-by-step explanation:
Measured at the airport, the angle between the two planes is ...
180° -60° -50° = 70°
The law of cosines tells us the distance between the planes is ...
d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km
The planes are about 78.5 km apart.
Answer:
0
Step-by-step explanation:
Answer:$ 7425.89
Step-by-step explanation:
Formula to find the compound amount ( compounded semiannually) :-
, where P is the principal amount, r is rate of interest ( in decimal), and n is time in years.
Given : P= $7000
r=2.975%=0.02975
Time : n= 2
Then, The amount in account after 2 years:-
Hence, Amount in account after 2 years = $ 7425.89
Answer:
Hence, m∠R=95°.
Step-by-step explanation:
We are given that ΔABC is similar to the ΔRST i.e. ΔABC~ΔRST.
Aslo m∠A=6x+17, m∠B=3x+9, and m∠C=37
We know that sum of all the angles of a triangle is 180°.
⇒ ∠A+∠B+∠C=180
⇒ 6x+17+3x+9+37=180
⇒ 9x+63=180 (As 6x+3x=9x and 17+9+37=63)
⇒ 9x=180-63
⇒9x=117
⇒ x=13. (on dividing both side by 9)
Hence m∠A=6x+17=6×13+17=95°
m∠B=3x+9=3×13+9=48°
m∠C=37°
Also as ΔABC~ΔRST so this implies m∠R=m∠A=95°
Hence, m∠R=95°.
Answer: A.
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.
