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Salsk061 [2.6K]
3 years ago
14

Use the diagram attached below. Find the straight distance between the zoo and movie theater.

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

The distance would be around 9.66 blocks

Step-by-step explanation:

If you draw a straight line from zoo to movie theater, we have a triangle.

The given angle is 86 degrees, the two sides adjacent to it are 6 and 8 and we want to find the side opposite (let it be "p") to the given angle.

We will use cosine rule to find this. The rule is:

p^2=a^2+b^2-2abcosP

Where

a and b are the two adjacent sides to the given angle

a = 6

b = 8

p is what we are looking for

P is the angle given

So, substituting and finding the value:

p^2=a^2+b^2-2abcosP\\p^2=6^2 + 8^2 - 2(6)(8)Cos(86)\\p^2=36+64-96Cos(86)\\p^2=100-96Cos(86)\\p^2=93.3033\\p=\sqrt{93.3033}\\p=9.66

The distance would be around 9.66 blocks

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PLEASE HELP!!<br><br> Solve the equation. Please show your math work step by step. 5x −14=−34
MrMuchimi

Hey

The Answer is -4x


Heres the Step by Step work


You add 14 to each side because it is negative, so

5x-14=-34

    +14|+14

and you will end up with

5x=-20

Divide 5 on each side, so

5x=-20

/5x | /5x


-20 / 5x =

x=-4

 or

-4x


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3 years ago
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arlik [135]
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A water tank holds 944 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,180 gallons but is le
podryga [215]

Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

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Subtract 944 from both sides.

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Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.
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Answer:

I believe I am correct.

1: slope

2: linear equation

3: y-intercept

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3 years ago
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