2 years ago

Convert 4.824 meters per second to kilometers per hour

Mathematics

1 answer:

svetlana [45]2 years ago

3 0

Answer: 5 kilometers

Step-by-step explanation:

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Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}

krok68 [10]

Answer:

$|p-q|-(|p|-|q|) = 20$

Step-by-step explanation:

First let's find the value of 'p-q':

$p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\$

To find |p-q| (module of 'p-q'), we can use the formula:

$|ai + bj| = \sqrt{a^{2}+b^{2}}$

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

$|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25$

Now, we need to find the module of p and the module of q: $|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15$

$|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10$

Then, evaluating |p-q|-{|p|-|q|}, we have:

$|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20$

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2 years ago

Solve for x trignometry

BigorU [14]

9514 1404 393

Answer:

23.44

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

Tan = Opposite/Adjacent

tan(38°) = x/30

x = 30·tan(38°) ≈ 23.4386

x ≈ 23.44

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2 years ago

With 128,134,140,146,152,whats the next number If the pattern continues?

Xelga [282]

By adding 6, the next number should be 158

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Simplify (-7x+5)-(2x^2-8x+6) in standard form

Zarrin [17]

Answer: -2x² - 15x + 11

Step-by-step explanation:

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Which value is the best estimate for<br> √<br> 94

Vikentia [17]

Answer:

9.7

Step-by-step explanation:

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2 years ago

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