Find the equation of a line Passing through the
origin so that the tangent of the angle between the
Line in Quadrant I and the positive x-axis is square root of 3 over 3. Also find the angle.
Please also find the Augle.

Answers

Answer 1

Answer:

Step-by-step explanation:

y = 1/2x

the angle is 30°  or in radians  [tex]\pi[/tex]/6


Related Questions

What is the slope of the function y = –6x – 3?

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

y = a * x + b --> slope is a = -6

Which of these are line(s) of symmetry?
A. Neither line
B. Only the solid line
C. Only the dashed line
OD. Both lines

Answers

Answer:

d:both lines

Step-by-step explanation:

.........

please help im stuck on this​

Answers

Answer

The slope is 2

Step-by-step explanation:

Jackson invested $81,000 in an account paying an interest rate of 6\tfrac{1}{2}6
2
1

% compounded monthly. Angel invested $81,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1

% compounded quarterly. After 16 years, how much more money would Angel have in his account than Jackson, to the nearest dollar?

Answers

Answer:22215

Step-by-step explanation: got it from delta math

After 16 years Angel would have amount $22942 more money in his account than Jackson.

What is compound interest?

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

For the given situation,

Investment of Jackson, p = $81000

Rate of interest, r = 6 1/2%

⇒ [tex]6.5\% = 0.065[/tex]

Interest is compounded monthly, so n = 12

Number of years, T = 16

Investment of Angel, p = $81000

Rate of interest, r = 7 1/8%

⇒ [tex]7.125\% = 0.07125[/tex]

Interest is compounded quarterly, so n = 4

Number of years, T = 16

The formula of amount in compound interest is

[tex]A=p(1+\frac{r}{n} )^{nT}[/tex]

Jackson's amount after 16 years,

⇒ [tex]A=81000(1+\frac{0.065}{12} )^{(12)(16)}[/tex]

⇒ [tex]A=81000(\frac{12.065}{12} )^{192}[/tex]

⇒ [tex]A=81000(1.0054)^{192}[/tex]

⇒ [tex]A=81000(2.8123)[/tex]

⇒ [tex]A=227798.13[/tex]

Angel's amount after 16 years,

⇒ [tex]A=81000(1+\frac{0.07125}{4} )^{(4)(16)}[/tex]

⇒ [tex]A=81000(\frac{4.07125}{4} )^{64}[/tex]

⇒ [tex]A=81000(1.0178)^{64}[/tex]

⇒ [tex]A=81000(3.0955)[/tex]

⇒ [tex]A=250739.62[/tex]

After 16 years, how much more money would Angel have in his account than Jackson is

⇒ [tex]250739.62-227798.13[/tex]

⇒ [tex]22941.49[/tex] ≈ [tex]22942[/tex]

Hence we can conclude that after 16 years Angel would have $22942 more money in his account than Jackson.

Learn more about compound interest here

https://brainly.com/question/13155407

#SPJ2

There are 39 rows of seats at the soccer field. Each row has 25 seats. Which
expression can be used to find the total number of seats? (correct answer - 1 points)
A) (30 x 20) + (9 x 5)
C.) (39 x 20)+(39 x 5)
B.) (39 x 2) + (39 x 5)
D) (39 x 20) + (39 x 50)

Answers

Answer:

C.) (39 x 20)+(39 x 5)

Step-by-step explanation:

to multiply 39 by 25, you multiply 39 by 20, and then multiply 39 by 5

molly makes 5 gallons of soup in a pot then she fills bowls that each hold 1/16 gallon of soup until the pot is empty how many bowls did she fill completely

Answers

Answer: 80 cowls

Step-by-step explanation:

5/(1/16)

Which angle is EDF.

Answers

Answer:

d

Step-by-step explanation:

Find the distance between the points. (5,10) (5,4)

Answers

Answer:

.

Step-by-step explanation:

Answer:

6 squares

Step-by-step explanation:

help please thanks plsss

Answers

Answer:

A

area = 256 inches²

side = √256 = 16 inches

B

0.0063 inch = 6.3 × 10^-3

Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.

Required:
a. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches).
b. Find the probability that the second ball is yellow.

Answers

Answer:

See Annex for tree diagram and all probabilities

b) P(2y) = 0,329

Step-by-step explanation:

a) Attached

b) Probability of the second ball is yellow P(2y) is equal to the probability of the second ball is yellow given that the first one is black ( 0,204 ) plus the probability f the second ball is yellow given that the first one is yellow ( 0,125)

P(2y) = 0,204 + 0,125

P(2y) = 0,329

Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *

Answers

Answer:

80% of the class is made up of boys

Step-by-step explanation:

7/35 are girls, which means, 28/35 are boys (35 - 7)

To find the percentage, you divide 28 by 35

28/35 = 0.8 or 80%

What is the formula of the surface area solved for r?

Answers

D

This is the best answer for this question

Answer:

Option C

Step-by-step explanation:

It is the correct answer I explained in your next question

Write the decimal in expanded form: 8.6 ( no file or no link i will give brainliest if you are correct)

Answers

Answer:

8+0.6 is the expanded form I believe

Step-by-step explanation:

The whole number always comes first in decimal expanded forms, in this case, 8 is the whole number. Then you add the decimal part which is 0.6. So 8+0.6=8.6.

Answer:

notation is) 8 + 0.6

factor is) 8*1 + 6+.1

exponential is) 8^10^0 and  6^10^-1

word is) eight point six

Step-by-step explanation:

Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?

Answers

Answer:

4

Step-by-step explanation:

(3+5+6+2+4) / 5 = ?

(20) / 5 = 4

Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet
per person, what is the maximum number of people that could attend this event?

Answers

Answer:675

Step-by-step explanation:

5.3d = 42.4

pls help​

Answers

Answer:

Step-by-step explanation:

Divide both sides by 5.3 and you get d = 8. You can use a calculator for this or just do division by hand.

In a given survey, 9 people say their favorite color is pink. The number represented 45% of the total people. How many people took the survey?

Answers

Answer:

405

Step-by-step explanation:

1% - 9 people

45% - 9 × 45 = 405 people

Answer:

Step-by-step explanation:

It’s 780 trust

help please triangles and trig

Answers

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Sheila had one gallon of milk. She used gallon of milk to make ice cream. She used another gallon of milk to make cookie dough. How much of a gallon of milk does Sheila have left?

Answers

Answer:

Step-by-step explanation:

we know that

1) Sheila had 1 gallon of milk

2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left

3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24

14/24-----> 7/12 gallon

When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal
value.

Answers

Answer:

Its normal value would be 50 beats per minute.

Step-by-step explanation:

20% = 10bpm

40% = 20bpm

60% = 30bpm

80% = 40bpm

100% = 50bpm

help pleasee!! No links!!
4*(3.4 + 2) - (56 divided by 7) = 13.6, please givee an explanation for this/solution!!

Answers

Answer:

13.6

Step-by-step explanation:

[tex] 4 \times (3.4 + 2) - (56 \div 7) = [/tex]

We must follow the correct order of operations.

We do what is in the parentheses first.

[tex] = 4 \times 5.4 - 8 [/tex]

Now we do the multiplication.

[tex] = 21.6 - 8 [/tex]

Finally, we subtract.

[tex] = 13.6 [/tex]

Answer: 13.6

Write a rule for the translation.
A) (x-1, y+2)
B) (x-2, y+1)
C) (x+2, y-1)
D) (x+1, y-2)

Answers

Answer: b
Explanation: to get to point c (pink) to the other point c (blue) you need to go back 2 spaces which will makes it negative and go up one space which is positive.

HELP HELP !! & PlEASE SHOW WORK ! What would be the compound interest rate if Tom borrowed $6,000 at a 3% interest rate for 2 years?
$365.40
$185.40
$180.00
$250.00

Answers

Answer:

Compound interest = $365.4

Step-by-step explanation:

Given:

Amount borrowed = $6,000

Rate of interest = 3%

Number of year =  year

Find:

Compound interest

Computation:

A = P[1+r]ⁿ

Amount after 2 year = 6,000[1 + 3%]²

Amount after 2 year = 6,000[1 + 0.03]²

Amount after 2 year = 6,000[1.03]²

Amount after 2 year = 6,000[1.0609]

Amount after 2 year = 6,365.4

Compound interest = Amount after 2 year - Amount borrowed

Compound interest = 6,365.4 - 6,000

Compound interest = $365.4

Need help fast!! Need steps also

Answers

Answer:

arc AB = 3.14 in

Step-by-step explanation:

circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in

arc AB = (30°/360°)(37.68) = 3.14 in

What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180

Answers

Answer:

n=11

Step-by-step explanation:

(11-2) 180

9×180=1620

Need a confirmation that my answer is correct with explanation

Answers

Answer:

yes your answer is correct

Sarah is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes. How many different outfits does Sarah have to choose from?

Answers

Answer:

5 outfits

Step-by-step explanation:

The number of many different outfits does Sarah have to choose from should be 32.

Calculation of the number of different outfits;

Since  She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes.

So here the number of distinct outfits should be like

[tex]= 2\times 8 \times 2[/tex]

= 32

hence, The number of many different outfits does Sarah have to choose from should be 32.

Learn more about number here: https://brainly.com/question/24604425

What is the solution of x+15(x−1)=1?

Answers

The correct answer is C

Answer:

1

Step-by-step explanation:

for solve the bracket we have to multiply 1/5 for x and for -1

x+1/5x-1/5 = 1

now we have to multiply the two members of the equation by 5

5(x+1/5x-1/5) = 5

5x + x - 1 = 5

now we have to sum 1 at both members

5x + x -1+1 = 5+1

6x = 6

at least we have to divide the two members by 6

x = 1 that is the solution of the equation

11 /5,786
what does the r mean

Answers

Step-by-step explanation: The set of real numbers is denoted using the symbol R or. and is sometimes called "the reals".

Answer:

r mean remainder

r = 0

Step-by-step explanation:

[tex]5786 \div 11 = 526 \\ qoutient = 526 \\ remainder \: r = 0[/tex]

AABC is dilated by a factor of į to produce AA'B'C!
37
12
15
53
9
с
What is AC, the length of AC after the dilation? What is the measure of ZA?
A. A'C' = 5, m ZA= 12
O B. A'C' = 5, mZA'= 37°
O C. A'C' = 45, m A'= 37°
D. A'C' = 4, mZA'= 53°

Answers

Answer:

A'C = 45, m A' = 37

Step-by-step explanation:

You find the 45 by multiplying 15, the length of A'C by 3 to find the original size.

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