Answer:
Cabin is 567 yards away...
Step-by-step explanation:
The angle 21.2° is also the angle of the upper interior angle of the triangle (near the cabin)
Use the tan function:
opposite = 220 yards
adjacent = x
tan(21.2°) = (opposite / adjacent)
tan(21.2°) = 220 yards/x
x * tan(21.2°) = 220 yards
x = 220 yards/ tan(21.2°)
x= 220/ 0.388
x = 567 yards.
Cabin is 567 yards away...
Answer:
4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre
Step-by-step explanation:
9.46 × 10⁻¹ pounds of potatoes were produced for every 2.3 × 10⁻⁵ acre harvested. The average pounds of potatoes harvested per acre would be pounds of potatoes/acres harvested = 9.46 × 10⁻¹ pounds/2.3 × 10⁻⁵ acre = 4.113 × 10 ⁻¹⁻⁻⁵ = 4.113 × 10⁵⁻¹ = 4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre.
Answer:
$20
Step-by-step explanation:
Broker's usually take a percentage of the money made or a fixed amount no matter how much is traded.
Here, the broker charges $10 per trade. So, it doesn't matter how much you do trade, the broker will charge $10 PER TRANSACTION.
Samantha bought stocks worth 2500 (1 transaction)
Samantha sold these again for 2750 (1 transaction).
So there were 2 trades made by Samantha.
So broker would charge $10 + $10 = $20
Answer:
(x, y) = (0, 1/2) or (1, 3)
Step-by-step explanation:
The first equation factors as ...
x(3x -y) = 0
This has solutions x=0 and y=3x.
__
<u>x = 0</u>
Using this in the second equation gives ...
2y -0 = 1
y = 1/2
(x, y) = (0, 1/2) is a solution
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<u>y = 3x</u>
Using the expression for y in the second equation, we get ...
2(3x) -5x = 1
x = 1 . . . . . . . . . simplify
y = 3x = 3 . . . . using x=1 in the first equation
(x, y) = (1, 3) is a solution
_____
Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.
The given system of equations is:
y = 4x − 3 ...(1)
2x + 7y = 41 ...(2)
Notice that the first equation is a solved equation for y. So, we can simply substitute 4x-3 for y in equation (2) to solve. This method is also knwon as substitution method by which we can plug in one equation into other equation.
So, if we will substitute y=4x-3 in equation (2) then we will get,
2x+7(4x-3)=41
Hence, third choice 2x + 7(4x − 3) = 41 is the correct answer.