Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.

Answer:

19.1, rounded= 19

Step-by-step explanation:

115 divided by 6 = 19.1

Answer:

20 tanks

Step-by-step explanation:

Number of tanks = Total fish ÷ Number of fish that a tank can hold

                            = 115 ÷ 6

                             = 19 [tex]\frac{1}{6}[/tex]

                              = 20 tanks

Answer:

f(d) = 200 – 10d

Step-by-step explanation:

I just looked it up sorry if its wrong lol

Answer:

f(d)=200-10d

Step-by-step explanation:

Because she is spending money every week, That means he money is decreasing.

Answer:

120 mins

Step-by-step explanation:

number of minutes in an hour = 60

number of hours = 2

total number of minutes = 60 x 2 = 120

Answer:

120 minutes

Step-by-step explanation:

an hour is 60 minutes and if you put them in for 2 hours you multiply 2×60 and your answer is 120

Answer:

3 is the correct answer

Step-by-step explanation:

I believe this is correct.

Hope this helps!

Answer:

3) the vertex is moved to the left 7 units

Step-by-step explanation:

When a number is inside the () and is being added or subtracted it goes to the opposite of the sign if it is + it goes left if it is - it goes right however with linear functions it is + right - left

===========================================================

Explanation:

The sequence is not arithmetic because the distance between adjacent terms keeps increasing. For instance, the gap from 0.4 to 1.6 is 1.6-0.4 = 1.2, while the gap from 1.6 to 6.4 is 6.4-1.6 = 4.8. There is no common difference, so we can rule out choices A and B.

To check if we have a geometric sequence, divide each term by its previous term

(term2)/(term1) = (1.6)/(0.4) = 4

(term3)/(term2) = (6.4)/(1.6) = 4

(term4)/(term3) = (25.6)/(6.4) = 4

Each time we get 4 as a result, so this sequence is geometric and the common ratio is r = 4.

Put another way: each new term is found by multiplying the previous term by 4.

0.4*4 = 1.6

1.6*4 = 6.4

6.4*4 = 25.6

This all leads to D being the answer.

Side note: the nth term of this geometric sequence is [tex]a_n = 0.4*(4)^{n-1}[/tex] where n is a positive integer and starts at n = 1.

Answer: k=22

Step-by-step explanation:

12+k/22=13

-12 -12

k/22=1

k=1*22

k=22

Answer:

B

Step-by-step explanation:

210/3.5=60 60*8.5=510 Add the first fence post to get 518.50

Answer:

B

Step-by-step explanation:

✨Hope it helps✨

Answer:

24 pies

Step-by-step explanation:

Let x represent the number of pies and set up an equation:

6x = 3.75x + 54

Solve for x:

6x = 3.75x + 54

2.25x = 54

x = 24

So, Carrie and Joel have to sell 24 pies to break even

Answer:

The length is 120 yards

Step-by-step explanation:

Here, we want to find the length of the longest side

The longest side ratio is 15

Add up all the ratio,

We have 1 + 15 + 3 = 19

So the length will be;

15/19 * 152

= 120 yards

Answer:

No relationship

Step-by-step explanation:

Answer:

B. The number of vertices equal the number of isosceles triangles.

Step-by-step explanation:

1st figure:

No. of vertices: 4

No. of isosceles triangles: 4

2nd figure:

No. of vertices: 5

No. of isosceles triangles: 5

3rd figure:

No. of vertices: 6

No. of isosceles triangles: 6

Thus, the number of vertices equal to the number of isosceles triangles.

Answer:

The sum of the triangle gives us the Fibonacci sequence. The sequence starts with 0 and 1, then adds along the road, such as 3+5=8, and 5+8=13.

It's a pattern going along while adding sequences together.

i hope this helps, it's not the best, but it works! :)

Answer:

8 times x

Step-by-step explanation:

x being the number of hours

Answer:

The answer is 6/5

Step-by-step explanation:

( 3 /5 )( 2 /1 )

(3)(2) /(5)(1)

6 /5

Hope this helps!

Answer:

9x+20>=28

Step-by-step explanation:

x is the number

Answer:

220 - a = m

Step-by-step explanation:

a is her age

Answer:

Step-by-step explanation:

You need $2500 plus the amount to print the tickets. So 2500+155= $2655.

$155 will break even and then the $2500 will be the profit.

Answer:

[tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = [tex] m = \frac{rise}{run} = \frac{2}{1} = 2 [/tex]

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = [tex] m = \frac{rise}{run} = -\frac{3}{1} = -3 [/tex]

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

[tex] x = \frac{6}{-5} = -1\frac{1}{5} [/tex]

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

[tex] y = -3\frac{-6}{5} + 1 [/tex]

[tex] y = \frac{18}{5} + 1 [/tex]

[tex] y = \frac{18 + 5}{5} [/tex]

[tex] y = \frac{23}{5} [/tex]

[tex] y = 4\frac{3}{5} [/tex]

✅The exact solution would be: [tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]

Answer:

no

Step-by-step explanation:

Answer:

10 1/4

Step-by-step explanation:

okay so the equation 4 3/8-(-5 7/8) needs to be simplified to a answerable equation by changing -(-5 7/8) to + 5 7/8

the reason for this is because when two subtraction signs are like this -(- it turns the number into a positive and we add instead of subtract.

4 3/8 + 5 7/8 = 9 10/8 = 10 2/8 = 10 1/4

I hope this helps you

Answer:

A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Answer:

Step-by-step explanation:

adjacent angles share a ray

they also have a common vertex

Answer:

litros. TODO Cm. Calcula el volumen de cada figura compuesta. Redondea al ... Encuentra la altura h del recipiente a la décima más cercana. ... cubierto, haciendo que el nivel del agua suba 2 pulg.

Answer:

c

Step-by-step explanation:

Answer:

regular 4 is correct

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

Answer:

4pi

Step-by-step explanation:

Area of a circle is pi (r^2)

Radius is 2, 2 squared is 4, 4 times pi is 4pi.

Answer:

x + 3y =21 equation 1

let the equation perpendicular to X + 3y = 21 be

3x - y + k = 0 equation 2

since the point ( 1 , -3 ) passes through equation 3x - y +k =0

3× 1 - (-3) + k = 0

or, 3 + 3 + k = 0

or, 6 + k =0

or, k = -6

now,

putting the value of k in equation 2

3x - y + k = 0

or, 3x -y -6=0

Answer:

8+12x

Step-by-step explanation:

Answer:

8+12x

Step-by-step explanation: