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alisha [4.7K]
3 years ago
12

How do you slove cot theta = -3

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0
Cot(Ф)=-3

Ф=arccot(-3)

or

Ф=the inverse cotangent of -3

or

Ф=cot^-1(-3)
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If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?
Leokris [45]

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}

as our answer

5 0
3 years ago
Student Life Insurance Company wants to offer an insurance plan with a maximum claim amount of $5,000 for dorm students to cover
shusha [124]

Answer:

25 = 0.01*5000 - X* 0.99

And now if we solve for X we have this:

0.99 X = 50-25 =25

X= \frac{25}{0.99}=25.25

So then we conclude that they should be charge $25.25 for the insurance in order to have a profit of $25.

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

For this case we can use the definition of expected value given by:

E(X) =\sum_{i=1}^n X_i P(X_i)

Solution to the problem

For this case we know that the probabiity of maximum claim is 0.01, so then the probability of no maximum claim by the complement rule is 1-0.01=0.99

And we know that the plan with maximum claim gives an amount of $5000

Let X the charge for the premium insurance

We also know that the profit or the expected value would be 25 for the company

If we apply the concept of expected value we have this:

25 = 0.01*5000 - X* 0.99

And now if we solve for X we have this:

0.99 X = 50-25 =25

X= \frac{25}{0.99}=25.25

So then we conclude that they should be charge $25.25 for the insurance in order to have a profit of $25.

8 0
4 years ago
Need help with this question .
3241004551 [841]

Answer:

4x + 11 is the answer when you combine like terms

6 0
3 years ago
What is the place value of the 9 in the 234.58932
Pachacha [2.7K]
The 9 is in the thousandths place
3 0
3 years ago
Read 2 more answers
What is 3 3/4 x 2 4/5
algol13

Answer:

10 \frac{1}{2}

Step-by-step explanation:

to multiply, convert each fraction into an improper fraction. you do that by multiplying the denominator by the whole number and adding the numerator. so 3 \frac{3}{4} will be \frac{15}{4} and 2 \frac{4}{5} will be \frac{14}{5}. now you multiply the numerator by the numerator and the denominator by the denominator. your fraction will be \frac{210}{20}. to simplify, you divide 210 by 20 and you will get 10 \frac{1}{2} :)

8 0
4 years ago
Read 2 more answers
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