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kakasveta [241]
4 years ago
10

Wo friends drive off in different directions from the same place. one heads north at 40 miles per hour, while the other heads ea

st at 35 miles per hour. complete an equation for the distance between the friends after t hours. distance = preview
Mathematics
1 answer:
Tems11 [23]4 years ago
8 0
The distance between the friends at the end of one hour can be found from the Pythagorean theorem to be
.. d = √(40^2 +35^2) = √2825 = 5√113 ≈ 53.15 . . . . miles

Since the friends are continuing in the same directions at the same speeds, their distance apart will increase by this amount each hour.

distance = t*5√113 . . . . miles after t hours
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densk [106]

Answer:

A

Step-by-step explanation:

We know that negative numbers are smaller than positive numbers, so let's compare the 2 negative numbers. Unlike positive numbers, the more negative it has, the smaller it is. So we know the smallest is -20. Without looking at the other numbers (even though I did just in case) we know that this is correct. They say least to greatest, so -20 should be first. A is the only one that starts with -20.

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4 years ago
The perimeter of a rectangle is equal to the sum of its sides.If the length of a a rectangle is twice its width and the perimete
8_murik_8 [283]

Answer: the width of the rectangle

= 31feet.

Step-by-step explanation:

Perimeter of a triangle = 2( l + b)

let the width = xfeet

The length = 2x feet.

Substitute for this in the equation above,

2( 2x + x ) = 186

2(3x) = 186

Divide by 2 through

3x = 93

Divide by 3

x = 31feet. Therefore, the width of the rectangular = 31feet.

Check.

Since the length is twice the width,

L = 31 x 2

= 62feet.

Put that into the formula above

2( 62 + 31 )

2 x 93

= 186 which is the perimeter of the rectangle.

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3 years ago
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sergij07 [2.7K]
26 adult tickets = $12 (cost of an adult movie ticket) • 26 = $312

There were $312 dollars worth of money sold from the adult tickets that were sold for the 10PM show.

$600 - $312 = $288

This means that there were $288 dollars worth of money sold from children’s tickets for the 10PM show.

Since each children ticket is $8, you would do

8x = $288

(X IS HOW MANY CHILDREN TICKETS THAT WERE SOLD)

Once you do that, you would simplify it by dividing 8x by 8 which would give you x by itself and do the same thing for the other side as you have to do the same for both sides of the equal sign. So, you would do $288 divided by 8 and get 36.

x = 36

To check our work, we will substitute the value of x into the equation

8(36) = $288
288 = $288

Therefore, there were 36 children tickets sold for the 10PM show.
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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Aright triangle with an area of X2-4 square units has a leg that measures
mrs_skeptik [129]

Answer:

x - 2

Step-by-step explanation:

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We also know that the area of this triangle can be represented by (x^2-4).

Lastly, we know that one of the legs (let's call it the base) can be represented by (2x+4).

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We can multiply both sides by 2, then divide each side by (2x + 4) to isolate/solve for h.

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h = (x - 2)

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