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uranmaximum [27]
3 years ago
8

Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe

en the two ships.
Draw a diagram ando solve for the missing measure. When necessary round to the nearest tenth.
Mathematics
1 answer:
Lerok [7]3 years ago
5 0
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
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Answer:

Average day end balance using weighted average = $1,316.667

Average day end balance using simple average = $1,050

Step-by-step explanation:

Provided opening balance = $1,200

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New balance as on 16 November = $1,200 + $500 = $1,700

Further by the end of month of November balance after payment = $1,700 - $800

= $900

Thus, opening balance = $1,200

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Simple average = \frac{1,200 + 9,00}{2} = 1,050

Day end balance = $1,050

For this weighted average can be done

First 15 days balance = $1,200 as no transaction was done.

From 16  to 25 November balance increased by $500 = $1,700 for 10 days

Remaining days = 5 days = $1,700 - $800 paid = $900

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\frac{(1,200 \times 15) + (1,700 \times 10) + (900 \times 5)}{30} = \frac{39,500}{30} = 1,316.667

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3 0
3 years ago
Fatima has made a planter box that is 2.5 feet long, 1.5 feet wide, and 2 feet high.
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Answer:

Bottom right

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Whole equation: (2.5 x 1.5) x 2.0 = 7.5

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the value of the car will be 3250 after 5 years

Step-by-step explanation:

the value of the car = 13000

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time = 5 years

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= 9750

after 5 years the value of the car is = 13000 - 9750 = 3250

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Answer:

a. y = -2x + 7

Step-by-step explanation:

First, find the slope by plugging the points into the slope formula, \frac{-7+5}{7-6}, which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.

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