I can’t see the other answers, but f they are all >, <, =, then your answer is y>25
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
Answer:
80,60
Step-by-step explanation:
The first fraction is 7/10.
The second bag has the same probability as the top so just copy the fractions into the boxes.
To calculate the probability of the same colour being chosen you follow these steps.
P(RR) = 3/10 x 4/9 = 12/90
P(GG) = 7/10 x 5/9 = 35/90
Then add the two fractions.
12/90 + 35/90 = 47/90
The last box is 47/90.
Answer:
<h2>(-2, -1)</h2>
Step-by-step explanation:
Convert the inequality to the form y > mx + b:
3x + y > -8 <em>subtract 3x from both sides</em>
y > -3x - 8
Put the coordinates of the points to the inequality and check:
for (-3, 0)
0 > -3(-3) - 8 → 0 > 9 - 8 → 0 > 1 FALSE
for (-2, -1)
-1 > -3(-2) - 8 → -1 > 6 - 8 → -1 > -2 TRUE
for (0, -10)
-10 > -3(0) - 8 → -10 > 0 - 8 → -10 > -8 FALSE
for (2, -16)
-16 > -3(2) - 8 → -16 > -6 - 8 → -16 > -14 FALSE
