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1 year ago

8

Calculate the distance between the points C = (0,-2) and L= (-4, 1) in the coordinate plane. Give an exact answer. (not a decima

l approximation)

1 answer:

schepotkina [342]1 year ago

7 0

Answer: 5

Step-by-step explanation:

$\sqrt{(-4-0)^2 + (1-(-2))^2}=5$

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Find the following values from the information given<br> cot(theta°); tan(theta°) = −0.0005

Greeley [361]

Answer:

cot(θ°) = 2000 radians

Step-by-step explanation:

Data provided in the question:

The value of tan(θ°) = −0.0005

To solve:

cot(θ°)

Now,

we know the relation between cot and tan function as:

cot(θ°) = $\frac{1}{\tan\theta}$

therefore on substituting the value of theta in the above relation, we can find the value of cot(θ°)

Thus,

cot(θ°) = $\frac{1}{-0.0005}$

or

cot(θ°) = 2000

5 0

2 years ago

The Northwest High School senior class decided to host a raffle to raise money for their senior trip. They charged $2 for each s

prisoha [69]

Let $x$ be the tickets that the adults bought, and $y$ be the tickets that children bought.
From the problem we have the system of linear equations:
$\left \{ {{2x+5y=2686} \atop {y=3x}} \right.$

The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and then, solve for $x$
$2x+5y=2686$
$2x+5(3x)=2686$
$2x+15x=2686$
$17x=2686$
$x= \frac{2686}{17}$
$x=158$

Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
$y=3x$
$y=3(158)$
$y=474$

Last but not least, to find the total number of tickets, we are going to add $x$ and $y$ :
$158+474=632$

We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>

7 0

2 years ago

Read 2 more answers

Most graduate business schools require applicants to take the gmat. scores on this test are approximately normally distributed w

Harman [31]

We are looking for the probability :
$P(X > n)=0.05$
Transform the law to standard normal like this:
$P(\dfrac{X-545}{100}> \dfrac{n-545}{100})=0.05$
The above formula is equivalent to this one:
$P(\dfrac{X-545}{100}< \dfrac{n-545}{100})=0.95$
From normal law table, we read the value of $\dfrac{X-545}{100}$ .
$\dfrac{X-545}{100}=1.7$
Solving the above equation for the score n:
$X-545=170$
$X=715$ , it is the score we are looking for.

5 0

3 years ago

Solve it please with explanation Marty simplified the expression 2(x - 2) - 2(3) as 2x - 8. Is he correct? Explain why or why no

Kamila [148]

Answer: Marty is not correct

Step-by-step explanation:

2(x-2)-2(3) use distributive property

2x-4-6

2x-10

Marty is not correct

3 0

1 year ago

Read 2 more answers

Which of the following is not a kind of consumer credit?

777dan777 [17]

The personal loans is not a kind of consumer credit

8 0

3 years ago