Answer:
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
Now solve using inverse operations,
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
Substitute,
Solve,
Thus, the answer to this system of equations is the following, .
Answer:
The the angle which the wire make with the ground is 1.280 radian .
Step-by-step explanation:
Given as :
The length of the wire attached to the top of building = OB = 70 foot
The distance of wire anchored from base of ground = OA = 20 feet
Let the angle made by wire en and ground = Ф
Now from , In Triangle AOB
Cos angle =
Or, Cos Ф =
or, Cos Ф =
Or, Cos Ф =
∴ Ф =
I.e Ф = 73.39°
Now in radian ,
∵ 180° = radian
∴ 73.39° = × 73.39°
= × 73.39° = 1.280 radian
Hence The the angle which the wire make with the ground is 1.280 radian . Answer
Answer:
5² x 7 x 2
Step-by-step explanation:
350
= 35 x 10
= 7 x 5 x 5 x 2
= 5² x 7 x 2
Answer:
(5 1/2)(7.25)=
11/2(7.25)
=39.875
=39.875
Step-by-step explanation:
multiply 5 1/2 by 7.25 and u will have yo answer
To start, you want to determine the inequality. You can do this by setting the number of buying n fish to be less than or equal to her current amount of money, being as it can't go over or she wouldn't be able to afford the fish. This inequality would be written so her amount of money (20) would be greater than or equal to the cost of n fish (2.5n), which would then look as such: 20≥2.5n. To solve this inequality, just solve for n by dividing both sides by 2.5, giving you 8≥n. This would mean that Becky can afford to buy up to 8 fish.