Answer:
The dashed hypotenuse measures: 3,205.13 ft.
Step-by-step explanation:
. B (Plane is here)
. .
. .
A . . . . . . . C
BC = 500 ft
Angle (Ф) between AB and AC = 9 degrees
So,
Sin(Ф) = BC/AB
Since we need to know how much hypotenuse AB measures, Let's isolate it from the equation:
AB = BC / Sin (Ф)
AB = 500 ft. / Sin (9)
AB = 500 ft./ 0.156
AB = 3,205.13 ft.
<h3>
Answer: D. x = 4</h3>
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Explanation:
First compute f(2)
f(x) = 3x-1
f(2) = 3(2) - 1 ... replace every x with 2; use PEMDAS to simplify
f(2) = 6 - 1
f(2) = 5
When we say g(x) = f(2), we really mean g(x) = 5
g(x) = 2x-3
2x-3 = g(x)
2x-3 = 5 .... plug in g(x) = 5
2x-3+3 = 5+3 ... add 3 to both sides
2x = 8
2x/2 = 8/2 ... dividing both sides by 2
x = 4
Answer:
$45
Step-by-step explanation:
In order to create a multiplication equation, we would need to use a single variable that represents the amount that each friend will pay. This can be represented by the variable x. We multiply this variable by the number of friends which should equal the total of the TV with the tax included. Like so...
$210 + $15 = 5x
Now that we have the equation we can go ahead and solve it by adding the total and the tax, and then dividing both sides by 5 in order to isolate x.
$210 + $15 = 5x
$225 = 5x
$45 = x
Finally, we can see that each friend will pay the same amount which is $45
Answer:
Step-by-step explanation: 7 3/4 = 31/4
1 1/3 = 4/3
(31/4)/(4/3) = (31/4)(3/4) = 93/16 = 5 13/16
5
