Answer:
(C) 245 miles
Step-by-step explanation:
We can view the starting and ending flight points as the hypotenuse of a right-angle triangle. Since the plane flew 125 miles south, the height of the triangle is 125 and we are given the hypotenuse as 275
If we designate the height as a and the hypotenuse as h, and the base as b then
h² = a² + b² by the Pythagorean theorem
or
b² = h² - a² ==> (h + a)(h - a) {x² - y² = (x + y) (x -y)}
Substituting known values
b² = 275² - 125² = (275 + 125)(275-125) = 400 x 150 = 60,000
b = √60000 = 244.94 and the closest answer is C: 245 miles
STEP BY STEP
200+[-55]+[-77]+ [-68]
200+[-55-77-68]
200+[-200]
200 -200
0
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Answer:
D. 21
Step-by-step explanation:
replace 21 for r, 4(21)=84
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Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
Answer:
trust my last answer
Step-by-step explanation:
