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Marizza181 [45]
3 years ago
15

Help please,,

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

4. tan(D)=7/24 ≈ 0.2917

    tan(F)=24/7 ≈ 3.4286

6. tan(K)=3/5=0.6000

   tan(J)=5/3 ≈ 1.6667

Step-by-step explanation:

The tangent is the side opposite of the angle divided by the side adjacent to the angle.

4. tan(D)=7/24 ≈ 0.2917

EF  is opposite to D and has length 7. The adjacent side is the side forming the angle that is not the hypotenuse, so it's DE and the length is 24 units.

Do the same thing for the rest of the angles. (You probably already know that acute angles are smaller than 90 degrees, so you have to find the tangent of 2 angles in each problem.) I just used a calculator to divide, but you could do it by hand, and I'm guessing you know how to round. Hope I could help!

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Which table contains ordered pairs that lie on the graph of the equation -2x + 4y = 16?
tia_tia [17]

Answer:

C

Step-by-step explanation:

To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct

A)

x=-4, y=2

-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8

x=0, y=8

-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0

B)

x=8, y=0

-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative

x=2, y=3

-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.

C)

x=0, y=4

-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works

x=4, y=6

-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.

D)

x=-2, y=5

-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16

x=-8, y=0

-2x+4y = -2 * (-8) + 4 *  (0) = 16. This works, but the other pair does not work, so D is incorrect

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