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2 years ago

What is the reference angle for a 240° angle? 30° 60° 180° 270°

Mathematics

2 answers:

34kurt2 years ago

6 0

Answer:

60°

Step-by-step explanation:

240° is between the two numbers 180°and 270°, So you're going to want to subtract 180 from 240 Thus, your answer will be 60!

hope you found this helpful :)

sveta [45]2 years ago

4 0

Answer:

60°

Step-by-step explanation:

The reference angle is always the smallest angle that you can make from the side where the angle ends with the x-axis.Since 240 = 180 + 60 that means that it makes 60° angle with x- axis.

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Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut

Murrr4er [49]

Let's say the number of days library book is late is X, and the total fee is Y.

Liability charges $0.30 dollars as a fee for being 1 day late,

For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.

Total charge for being X days late is Y, Which means: Y= 0.30 * X.

Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X

Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.

Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.

Option four(8, 2.40) is the correct answer because it satisfies our equation;

Y= 0.30 * X

2.40= 0.30 * 8

2.40 = 2.40.

Fourth option (8, 2.40) is the only viable solution to this question.

5 0

2 years ago

Read 2 more answers

Drew creates a table of ordered pairs representing the width and area of a dog pen. Which situation could describe Drew’s plans

Feliz [49]

Answer:

the answer is A :)

Step-by-step explanation:

8 0

2 years ago

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Which expression is equivalent to (4 + 7i)(3 + 4i)? –16 + 37i 12 – 28i 16 – 37i 37 + 16i

ASHA 777 [7]

Answer:

The equivalent expression is $\Rightarrow -16+37i$

A is correct

Step-by-step explanation:

We are given two complex number and need to multiply it. To find equivalent fraction.

$(4+7i)(3+4i)$

Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd

$\Rightarrow (4+7i)(3+4i)$

$\Rightarrow 4(3)+4(4i)+7i(3)+7i(4i)$

$\Rightarrow 12+16i+21i+28i^2$

Combine the like term and simplify

$\Rightarrow 12-28+37i$ $\because \ \ i^2=-1$

$\Rightarrow -16+37i$

Hence, The equivalent expression is $\Rightarrow -16+37i$

4 0

2 years ago

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Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest

olga55 [171]

Answer:

$869,776

Explanation:

1. Mortgage table

Find attached a sample of a mortgage table per 1,000 dollars borrowed.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

$22\%\times \$ 426,000=\$ 93,720$

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

$\$ 6.74\times 322,280/1,000=\$ 2,239.57$

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

$\$ 2,239.57\times 240=\$ 537,496.13$

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

6 0

2 years ago

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An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of

iogann1982 [59]

Answer:

Step-by-step explanation:

x, height of men is N(69, 2.8)

Sample size n =150

Hence sample std dev = $\frac{2.8}{\sqrt{150} } =0.229$

Hence Z score = $\frac{x-69}{0.229}$

A) Prob that a random man from 150 can fit without bending

= P(X<78) = P(Z<3.214)=1.0000

B) n =75

Sample std dev = $\frac{2.8}{\sqrt{75} } =0.3233$

P(X bar <72) = P(Z<9.28) = 1.00

C) Prob of B is more relevent because average male passengers would be more relevant than a single person

(D) The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.

3 0

2 years ago