Express tan J as a fraction in simplest form

Express Tan J As A Fraction In Simplest Form

Answers

Answer 1

Answer:

Tan J = 3/4

Step-by-step explanation:

Recall, SOH CAH TOA

TOA means:

Tan J = Opp/Adj

Reference angle = <J

Opposite = 15

Adjacent = 20

Plug in the vakues

Tan J = 15/20

Simplify

Tan J = 3/4


Related Questions

The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, over time, t.

Which is an equivalent equation solved for t?

Answers

Answer:

(f-v)/a = t

Step-by-step explanation:

f = v + at

Subtract v from each side

f-v = v-v + at

f-v = at

Divide each side by a

(f-v)/a = at/a

(f-v)/a = t

Answer:

f - v =  a

 t

Step-by-step explanation:

Equation:

f =  v + at

subtract -v on both sides

f - v = at

divide t on both sides of the equation

f - v = a

  t

Pls help school almost over I need to pass

Answers

Answer:

B.

Step-by-step explanation:

6.4 times 10 to the 3rd power (6.4 times 10x10x10) is equal to 6400, therefor, B is the correct answer.

Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?

Answers

1 1/3 yards of fabric per shirt

Explanation:
Unit rate is a rate per 1

If you want to find the unit rate of yards per shirt, you do 4 2/3 divided by 3 1/2

Meanwhile if you want to find the unit rate of SHIRTS per yards of fabric, you do 3 1/2 divided by 4 2/3

IN THIS CASE, we will use the unit rate YARDS PER SHIRT:

4 2/3 ÷ 3 1/2
= 14/3 x 2/7
= 28/21
=1 1/3

Hope this helps!

3. What is the value of LC in the diagram?
A
4x
(2x
B
3x
С
O A. 90°
O B. 60°
O C. 80°
OD. 40°

Answers

Answer: B

Step-by-step explanation:

4x+3x+2x=180

9x = 180

x = 20

20x3 = 60

anyone can help with this ?

Answers

Answer:

The first one : x^2 - 8x + 15 sq ft

Step-by-step explanation:

To find the ares you need to multipy L and W : (x - 3) x ( x - 5)

(x - 3) x ( x - 5)

(x times x) - ( 3x + 5x) + ( 5 x 3)

=x^2 - 8x + 15

If this helps you, please give brainliest!

Answer:

(x-3)(x-5)=x^2-5x-3x+15=x^2-8x+15

Step-by-step explanation:

Because the patio is a rectangle, so it's area is I.w=(x-3)(x-5)


Which ordered pair (p, r) is the solution to the given system of linear equations?
(5p - 3r = 1
8p + 6r= 4

Answers

Answer:

[tex](\frac{1}{3};\frac{2}{9})[/tex]

Step-by-step explanation:

[tex]\left \{ {{10p-6r=2} \atop {8p+6r=4}} \right. \ \left \{ {{18p=6} \atop {8p+6r=4}} \right. \ \left \{ {{p=\frac{1}{3} } \atop {r=\frac{2}{9} }} \right.[/tex]

Answer:

Its D

Step-by-step explanation:

Edge 2021

please help me please i really need help please

Answers

Step-by-step explanation:

right answer

...... y= 1/2x²

Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9 Given that m represents an integer, is 6m(3m + 21) divisible by 9?

Answers

Answer:

[tex](a)\ 6m(3m + 21) = 9(2m^2 + 14m)[/tex]

(b) Yes, it is divisible by 9

Step-by-step explanation:

Given

[tex]6m(3m + 21)[/tex]

Solving (a): Complete the blanks

[tex]6m(3m + 21) = 9 [\ ][/tex]

Expand the bracket

[tex]6m(3[m + 7]) = 9 [\ ][/tex]

[tex]6m*3(m + 7) = 9 [\ ][/tex]

Express 6m as 2m * 3

[tex]2m*3*3(m + 7) = 9 [\ ][/tex]

[tex]2m*9(m + 7) = 9 [\ ][/tex]

Rewrite as:

[tex]9 * 2m(m + 7) = 9 [\ ][/tex]

Multiply the bracket by 2m

[tex]9 * (2m^2 + 14m) = 9 [\ ][/tex]

Divide both sides by 9

[tex]2m^2 + 14m = [\ ][/tex]

Hence, the bracket will be filled with: [tex]2m^2 + 14m[/tex]

So:

[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]

Solving (b): Is [tex]6m(3m + 21)[/tex] divisible by 9?

In (a), we have:

[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]

The leading factor "9" implies that the expression is divisible by 9

pls help on number 6!!

Answers

Answer:

729 cubic feet

Step-by-step explanation:

The rule as a mapping for the translation of a rectangle is (x, y) = (x - 2, y + 7). Which describes this translation?
O a translation of 2 units down and 7 units to the right
O a translation


of 2 units down and 7 units to the left
O a translation of 2 units to the right and 7 units up
O a translation of 2 units to the left and 7 units up
Mark this and retum

Answers

Answer:

a translation of 2 units to the left and 7 units up

Step-by-step explanation:

Translation of points (x,y)

At point x, the function can be translated to the left or to the right.

(x-a) is the translation of the point a units to the left, and (x+a) is the translation of the point a units to the right.

At point x, the function can be translated up or down. y+a represents a shift of a units up, and y-a represents a shift of a units down.

(x, y) = (x - 2, y + 7)

x - 2: 2 units to the left.

y + 7: 7 units up

So the fouth option is correct.

Solve for x. A. x = 12 B. x = 4 C. x = 3 D. x = 1

Answers

Answer:

4=x

Step-by-step explanation:

1/5( 2x+92) = 5x

Multiply each side by 5

5*1/5( 2x+92) = 5x*5

( 2x+92) = 25x

Subtract 2x from each side

2x+92-2x = 25x-2x

92 = 23x

Divide by 23

92/23 = 23x/23

4=x

Answer:

x = 4

Step-by-step explanation:

1/5 ( 2x + 92 ) = 5x

[tex] \small \sf \frac{1}{5} × ( 2x + 92 ) = 5x \\ [/tex]

distribute 1/5 through the parantheses

[tex] \small \sf \frac{2}{5}x + \frac{92}{5} = 5x \\ [/tex]

multiply both side of equation by 5

[tex] \small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5\\ [/tex]

2x + 92 = 25x

Move all variables to the left hand side and change their sign

2x + 92 - 25x = 0

combine like terms

2x - 25x + 92 = 0

calculate

-23x + 92 = 0

Move all the constant to the right side and change their sign

-23 x = - 92

divide both side by -23x

-23x / -23 = -92/-23x = 4

A school is tracking its freshmen attendance for the first marking period. Shown below is a table summarizing the findings for the 284 members of the freshmen class.

(a) Find the mean and median number of days absent Round your mean to the nearest tenth

(b) What proportion of the population that has an absenteeism greater than 4 days?​

Answers

Answer:

The median number of days absent is zero (0)

The mean number of days absent is 1.0 day

(b) The proportion of the population that has absenteeism greater than 4 days is 6.34 %

Step-by-step explanation:

total number of students, n = 284

The total number of students is even, the median number of days absent will in (n/2).

n/2 = 284/2 = 142

The cumulative frequency that falls in 148 students = 0 day

The median number of days absent is zero (0)

For mean:

Let the days absent = x  

let the number of students = f

[tex]mean (\bar x) = \frac{\sum fx}{\sum f}\\\\\bar x = \frac{(158\times 0)+ (64\times 1)+(18\times 2)+(22\times 3)+(4\times 4)+(5\times 7)+(6\times 8)+(9\times 2)+(13\times 1)}{284} \\\\\bar x = \frac{296}{284} \\\\\bar x = 1.0 \ day[/tex]

(b) the number of students with absenteeism greater than 4 dyas;

= 7 + 8 + 2 + 1

= 18

The proportion of these students;

[tex]= \frac{18}{284} \\\\= 0.0634 \\\\= 6.34 \ \%[/tex]

Using statistical concepts, it is found that:

a) The mean number of days absent is of 1, while the median is of 0.b) 0.0634 = 6.34% of the population has an absenteeism greater than 4 days.

Mean and Median:The mean is given the sum of the multiplication of each value and it's number of observations, divided by the number of observations.The median is the number of days absent for which the sum of the number of students will be half of the total number, that is, half of 284, which is 142.

Question a:

Then, the mean is:

[tex]M = \frac{0(158) + 1(64) + 2(18) + 3(22) + 4(4) + 5(7) + 6(8) + 9(2) + 13(1)}{284} = 1[/tex]

158 > 142, hence, the median is 0.

Question b:

In the sample, there are 284 students.Of those, 7 + 8 + 2 + 1 = 18 were absent four more than 4 days, hence:

[tex]p = \frac{18}{284} = 0.0634[/tex]

0.0634 = 6.34% of the population has an absenteeism greater than 4 days.

To learn more about mean and median, you can take a look at https://brainly.com/question/24732674

A newborn weighs 7 lb and 13 oz. How many grams (g) does he weigh?

Answers

Answer:

69

Step-by-step explanation:

Given m||n find the value of x.

Answers

Answer:

x =17

Step-by-step explanation:

The angles are supplementary so they add to 180

6x-20 + 6x - 4 = 180

12x -24 = 180

Add 24 to each side

12x-24+24 = 180+24

12x = 204

Divide by 12

12x/12 =204/12

x = 17

For numbers 6-10, how long does it take to travel:

11. A car travels 200 kilometers in 8 hours. Calculate the average speed of the car in:

a. Kilometer per hour
b. Kilometers per minute


This question have no choices specify your answers only

Answers

Answer:

A

Step-by-step explanation:

You divide distance over time so 200 divided by 8.

SOLVE EQUATION BY TAKING SQAURE ROOTS.
64m^2 -5 = 76

Answers

Answer:

m=9/8

Step-by-step explanation:

64m^2 -5=76

64m^2 =76+5

64m^2=81

m^2=81/64

m=[tex]\sqrt{81/64}[/tex]

m=9/8

Step-by-step explanation:

64m²-5=76

64m²-5+5=76+5

64m²=81

m²=64/81

m=

[tex] \sqrt{64/81} [/tex]

m=8/9

The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.

The variable x represents the number of

Answers

Answer:

the answer is 25 round tables and you will need 18.75 square tables

Step-by-step explanation:

IT is right trust me

Answer: The variable x represents the number of  

✔ square tables

.

The variable y represents the number of  

✔ round tables

.

If y = 9, find the value of x. The committee needs  

✔ 12

square tables.  explanation:

nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.

Answers

Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.

Step-by-step explanation:

help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards

Answers

Answer:

A. 15.5 yards

Step-by-step explanation:

3.1 ×5=15.5

Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the face value of the coins is ​$690​, how many of each denomination does he​ have?
How many $10 coins does he have?
How many $20 coins does he have?

Answers

He has twenty nine $10 coins and twenty $20 coins

Let x be number of $10 coins and y be number of $20 coins
x + y = 49. Number of coins
10x + 20y = 690. Value of coins

Multiply the first equation by 10
10x + 10y = 490

Subtract from the second equation
10y = 200
y = 20

Substitute into equation 1
x + 20 = 49
x = 29

what is a midsegment of a triangle?

Answers

Answer:

A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle

For the given function, find the vertical and horizontal asymptote(s) (if there are any).

f(x) = (x-5)/(x^2-1)

Answers

Answer:

See below for answers and explanations (as well as a graph attached)

Step-by-step explanation:

The function [tex]f(x)=\frac{x-5}{x^2-1}[/tex] can be written as [tex]\frac{x-5}{(x+1)(x-1)}[/tex], showing that there are 2 vertical asymptotes, which are at [tex]x=-1[/tex] and [tex]x=1[/tex] as they both make the denominator equal to 0.

Additionally, there would be a horizontal asymptote at [tex]y=0[/tex] since the degree of the numerator is less than the degree of the denominator.

See the attached graph.

The person above me has the answer LOL

Given m|n, find the value of x.

Answers

Answer:

x=150

Step-by-step explanation:

x+30=180[co-interior angle]

x=180-30

x=150

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
7
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

7

Step-by-step explanation:

The probability of choosing a blue marble is 7/8, or 49/56, which means that out of 56 marbles, 49 are blue. 56-49=7, so there are 7 red marbles. Hope this helps! :)

What is the result of subtracting the second equation from the first

Answers

I didn’t undertand the question... mayb ur attachment isnt added! Plz check!

A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?

Answers

Given:

A spinner is divided into 8 equal sections  where 3 are black, 4 are yellow, and 1 is red.

To find:

The probability of it landing either on a yellow or a red section.

Solution:

We have,

Total number of sections = 8

Black sections = 3

Yellow sections = 4

Red sections = 1

Now,

Either yellow or red sections = 4 + 1

                                                = 5

Now, the probability of it landing either on a yellow or a red section is:

[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]

[tex]\text{Required probability}=\dfrac{5}{8}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].

evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1​

Answers

Answer:

the answer is 12

Step-by-step explanation:

7x-2y-1. x=3. y=4

7×3-2×4-1

=21-8-1

=12

Surface Area of a Triangular Pyramid, please help!

Answers

Answer:

surface area of the triangular pyramid

=(1/2×9×7.8)+(3×1/2×9×12.3)

=35.1+166.05

=201.15 inch²

Which statement about y= x2 – 3x – 40 is true? O A. The zeros are 5 and -8, because y = (x - 5)(x+ 8). B. The zeros are 5 and -8, because y= (x + 5)(x-8). C. The zeros are -5 and 8, because y = (x - 5)(x+ 8). O D. The zeros are - 5 and 8, because y = (x + 5)(x-8).​

Answers

Answer:

C

Step-by-step explanation:

A p e x

Answer:

the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)

Step-by-step explanation:

i just took the test

Rebecca walks nine dogs each week she gets paid $10 a week +2 for each dog she walks which expression can be used to find how much is Rebecca gets paid in one week

Answers

Answer:

F(x)= 2x + 10

Step-by-step explanation:

F(×) represent the total amount she will get that week.

The 2 represents her dog bonus, x how many dogs she walked.

10 is the bare minimum she makes each week and it never changes.

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