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3 years ago

Find the distance between each pair of points. Round to the nearest tenth, if necessary.

1 answer:

3 0

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
O&({{ 0}}\quad ,&{{ 0}})\quad 
% (c,d)
P&({{ -5}}\quad ,&{{ 6}})\\
K&({{ 5}}\quad ,&{{ 0}})\quad 
% (c,d)
L&({{ -2}}\quad ,&{{ 1}})

\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
OP=\sqrt{(-5-0)^2+(6-0)^2}\qquad \qquad KL=\sqrt{(-2-5)^2+(1-0)^2}$

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John works two jobs. As a security guard he earns $8.50 per hour. As a landscaper he earns $14 per hour. One week John worked a

Rashid [163]

Answer:

John work as a security guard job 27 hours and as a landscaper 33 hours.

Step-by-step explanation:

Given:

John works two jobs.

As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.

One week John worked a total of 60 hours and earned $691.50.

Now, to find hours he work at each job.

Let the job of security guard be $x$ hours.

And the job of landscaper be $y$ hours.

So, the total hours John worked in a week:

$x+y=60.$

⇒ $y=60-x.$ ............( 1 )

Now, the money earned by John in a week:

$8.50x+14y=691.50$

Putting the equation ( 1 ) in the place of $y$ :

⇒ $8.50x+14(60-x)=691.50$

⇒ $8.50x+840-14x=691.50$

Moving variables on one side and the other we get:

⇒ $840-691.50=14 x-8.50x$

⇒ $148.50=5.50x$

Dividing both sides by 5.50 we get:

⇒ $27=x$

As a security guard job he worked 27 hours.

Putting the value of in $x$ equation ( 1 ) we get:

$y=60-27$

⇒ $y=33.$

As a landscaper he worked 33 hours.

Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.

5 0

3 years ago

likoan [24]

Answer: 230cm²

Step-by-step explanation:

>We can do this by splitting the figure into 2 trapeziums.

>Additionally, you can see that both trapeziums bear the same lengths a and b. Hence, we can use this formula: $\frac{1}{2} * (a+b) * (total height)$ .

>Thus,

Area = $\frac{1}{2} *(7+16)*20=230$

4 0

2 years ago

Read 2 more answers

Solve the equation below x

son4ous [18]

Answer:

Step-by-step explanation:

Given

cx - 4 = 7 ( isolate the term in x by adding 4 to both sides )

cx = 11 ( divide both sides by c )

x = $\frac{11}{c}$ → A

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3 years ago

Explain how you would order from the least to the greatest three numbers that include a positive number, a negative number, and

jeyben [28]

Well, zero is between negative and positive numbers. Negative number are less than zero and positive numbers. Positive number are greater than negative number and zero. And, zero is greater than negative number but smaller than positive number.

Negative number < Zero < Positive number

7 0

3 years ago

Help! This is due today and I'm stuck on this problem.

Varvara68 [4.7K]

Answer:

280.6 $m^2$