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3 years ago

2k+k+45=180 what is k?

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

5 0

K is equal to 45
K=45

sattari [20]3 years ago

4 0

2k+k+45=180
3k+45=180
3k=180-45
3k=135
k=45

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P(A) = 0.33, P(A and B) = 0.25, find P(B

motikmotik

Answer:

≈0.76

Step-by-step explanation:

P(A) = 0.33

P(A and B) = 0.25

P(B) = ?

-------------

<u>Probability of two events happening is the product of individual probabilities</u>

P(A and B) = P(A)×P(B)

<u>Then to find the probability of one of the events: </u>

P(B) = P(A and B) / P(A)
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3 years ago

On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . If a cyclist travels through the hail at 10i m s−1 , what is t

Paraphin [41]

Answer:

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The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of $2\hat{i}-6\hat{k}\text{ m/s}$ . If a cyclist travels through the hail at $10\hat{i} \text{ m/s}$ .

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

The velocity of the hailstone falls is $V_h=2\hat{i}-6\hat{k}\text{ m/s}$

The velocity of the cyclist travels through the hail is $V_c=10\hat{i} \text{ m/s}$

The velocity of the hail relative to the cyclist is given by,

$V_{hc}=V_h-V_c$

Substitute the value in the formula,

$V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}$

$V_{hc}=-8\hat{i}-6\hat{k}$

So, The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

Now, The angle of hails falling relative to the cyclist is given by

$\theta = \tan^{-1}(\frac{-6}{-8})$

$\theta = \tan^{-1}(\frac{3}{4})$

$\theta = 36.86^\circ$

So, The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

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4 years ago

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avanturin [10]

Answer:

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Step-by-step explanation:

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lawyer [7]

Answer:

Step-by-step explanation:

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suter [353]

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3 years ago

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