2. The city council is planning a long narrow park with a playground at one end and a fountain at the other.

Mathematics

1 answer:

vivado [14]2 years ago

5 0

Answer:

Step-by-step explanation:

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Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.

Brut [27]

Define unit vectors along the x-axis and the y-axis as $\hat{i} , \, \hat{j}$ respectively.

Then the vector from P to Q is
$\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}$
In component form, the vector PQ is (-8,5).

The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434

Answer:
The vector PQ is (-8, 5) and its magnitude is √89 (or 9.434).

4 0

3 years ago

Read 2 more answers

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of the track

tino4ka555 [31]

Answer:

54 Pounds

Step-by-step explanation:

We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.

The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem

67.5

We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.

67.5 x 0.8

This leads the answer to be 54 Pounds

Hope this helped :D

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3 years ago

What percent of $150 is $87

vesna_86 [32]

87/150=0.58
0.58*100=58

$87 is 58% of $150

Good luck!

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