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Stells [14]
4 years ago
6

A container ship has to make 2 deliveries then return to the pier it started from. The boat travels 8 miles straight north to it

s first stop. The nexi delivery is directly across the river 3 miles straight west. What angle must the boat travel at to get back to the pier it started from?​
Mathematics
1 answer:
oksano4ka [1.4K]4 years ago
6 0
Straight north is the answer
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What is the distance between the center of the circle with equation $x^2+y^2=6x-8y+24$ and the point $(-3,-12)$?
kvasek [131]

Answer:

The answer to your question is: 10 units

Step-by-step explanation:

P (-3, -12)

1.- Find the center of the circle

                               x² + y² = 6x - 8y + 24

                              x² - 6x + (   )²  + y² + 8y + (  )²  = 24

                              x² - 6x + (3)² + y² + 8y + (4)² = 24 + 9 + 16

                              (x - 3)² + (y + 4)² = 49

                              Center (3, -4)

2.- Find the distance between the center and the point given

Formula

d = \sqrt{(x2- x1)^{2} + (y2 - y1)^{2} }

Substitution

d = \sqrt{(-3 - 3)^{2} + (-12 +4)^{2} }

d = \sqrt{(-6)^{2} + (-8)^{2} }

d = \sqrt{36 + 64} }

d = \sqrt{100}

d = 10 units

             

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Step-by-step explanation:

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Aubrey's dinner cost \$85$85dollar sign, 85. She tips the waitstaff 30\%30%30, percent for excellent service.
KATRIN_1 [288]
<h3><u>Question:</u></h3>

Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?

<h3><u>Answer:</u></h3>

Aubrey paid $ 25.5 to the wait staff

<h3><u>Solution:</u></h3>

Given that, Aubrey's dinner cost $ 85

She tips the waitstaff 30% for excellent service

We have to find the amount paid as tip to wait staff

Cost = $ 85

Tip = 30 %

So the tip amount paid is 30 % of 85

<h3><u>Find out 30 % of 85</u></h3>

Tip\ Amount = 30 \% \times 85\\\\Tip\ Amount = \frac{30}{100} \times 85\\\\Tip\ Amount = 0.30 \times 85\\\\Tip\ Amount = 25.5

Thus Aubrey paid $ 25.5 to waitstaff

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3 years ago
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