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choli [55]
3 years ago
14

Find the value of x. Round your answer to the nearest tenth. 15 27

Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

x ≈ 1318.2

Step-by-step explanation:

tan(\frac{x}{15}) = 27         <em>Tangent = opposite over adjacent</em>

<em />tan^{-1}[tan(\frac{x}{15})] = tan^{-1}(27)<em />

<em />\frac{x}{15} = tan^{-1}(27)<em />

<em />x = 15[tan^{-1}(27)]<em />

x ≈ 1318.2

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Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo
OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: x.

Let's call the amount he got paid per hour at his job delivering newspapers: y.

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

 4. Therefore, you have:

5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y

Then:

6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8

Finally:

5x+4(8)=77\\5x+32=77\\5x=45\\x=9

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

5 0
3 years ago
Scientific notation<br> Express this number in scientific notation.<br> 245,600,000,000
Degger [83]

Answer:

The answer 2.456*10^11

Step-by-step explanation:

To to this we have to count how many decimals from the back of the number

245,600,000,000

We can actually count 11 decimal points from the back

Hence in standard form or scientific notation we have

2.456*10^11

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Answer:

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Step-by-step explanation:

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Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

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Answer:

A. 8 units

Step-by-step explanation:

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