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luda_lava [24]
3 years ago
11

Find x Find y and Find a

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

x is 95 degrees

y is 68.5 degrees

z is 68.5 degrees too

Step-by-step explanation:

180 - 57 - 28 is 95

180 - 43 = 137

137 / 2 = 68.5

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Step-by-step explanation:

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6 0
3 years ago
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
snow_lady [41]

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

7 0
3 years ago
Point r divides ef¯¯¯¯¯ in the ratio 1 : 5. if the coordinates of e and f are (4, 8) and (11, 4), respectively, what are the coo
gizmo_the_mogwai [7]
See the attachment for detailed answer
<span>So then R is 1/6 of the way from E to F.
The x distance from E to F is 11- 4=7.
So then the x distance from E is,
Similarly for y,

R:(31/6,22/3)</span>

5 0
3 years ago
Shane kayaks at a constant rate of 4 mph. How far will he travel in 2 hours?
musickatia [10]

Answer:8 miles

Step-by-step explanation:

If he’s traveling at 4 miles and hour and he traveling for two hours it would be 8 miles

8 0
3 years ago
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DENIUS [597]

Answer:

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Step-by-step explanation:

8 0
2 years ago
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