What angle in radians corresponds to 4 rotations around the unit circle?

Answer:

-1

Step-by-step explanation:

Using rise over run for the two points

4 - 0/ -1 - 3 = -1

Answer:

We found 2 coordinates

1. ( 0 ,3)

2.(3,0)

Now slope = tan theta = 3/3 = 1

Answer is 1

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Step-by-step explanation:

Answer:

1. 9/10

2. 15/16

4. 3/5

5. 3/5

Step-by-step explanation:

1. 7/10 + 2/10 = 9/10

2. 13/16 + 2/16 = 15/16

4. 7/15 + 2/15 = 9/15 = 3/5

5. 9/20 + 3/20 = 12/20 = 3/5

Answer: 1 r1 for second

Step-by-step explanation: 13/16+2/16=15/16 divide 15/16 gets 1 r1

Answer:

[tex]\frac{81}{m^7}[/tex]

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

[tex](3m^{-4} )^3(3m^5)[/tex]

Remove the parenthesis around 3m^5 :

[tex](3m^{-4} )^3*3m^5[/tex]

Do the exponent rule for outside and inside exponent parenthesis :

[tex](3m^{-4*3} )[/tex]

[tex]3^3m^{-12} *3m^5[/tex]

Apply addition exponent rule :

[tex]m^{-12} *3^{3+1} m^5[/tex]

Add :

[tex]m^{-12} *3^4m^5[/tex]

Apply the addition rule for -12 + 5 :

[tex]3^{4} m^{-7}[/tex]

Apply negative exponent rule for m^-7 :

[tex]3^4*\frac{1}{m^7}[/tex]

Multiply the fractions :

[tex]\frac{1*3^4}{m^7}[/tex]

[tex]\frac{81}{m^7}[/tex]

Answer:

5/4 cups fill each bottle

Step-by-step explanation:

5 5/8=45/8

4 1/2=9/2

Step by Step:

------------------

(45/8)/(9/2)

(45/8)(2/9)

(45/4)(1/9)

45/36

5/4

Answer:

x = 1

y = 1/5

Step-by-step explanation:

Given the system of linear equations

x + 5 y = 2 .... 1 ×2

6 x + 10 y = 8 .... 2×1

___,_______

2x+10y = 4

6x+10y = 8

Subtract

2x-6x = 4-8

-4x = -4

x = 1

Substitute x =1 into 1

x+5y = 2

1+5y = 2

5y = 2-1

5y = 1

y = 1/5

Hence the solution to the system of equation is (1, 1/5)

Answer:

is a:0

Step-by-step explanation:

those linear lines will never intersect

Answer:

x = 1/3(500 + 5y)

Step-by-step explanation:

Given that:

x child tickets for $3

y adult tickets for $5

3x + 5y = 500

To solve for x

3x = 500 + 5y

Divide through by 3

3x /3 = 500/3 + 5y/3

x = 1/3(500) + 1/3(5y)

x = 1/3(500 + 5y)

2.)

If the total number of tickets sold was made available, then a more direct solution would have been obtainable as we can have two different equations;

One for the total number of ticket sales and the other of the total revenue from ticket sales.

Answer:

(2,8)

Step-by-step explanation:

I'm not so sure but if I were answering I would have picked (2,8)

Answer:

4 cards

Step-by-step explanation:

1. Approach

First, find how much ([tex]\frac{1}{2}[/tex]) of all the holiday cards is. Then find out how much [tex]\frac{3}{8}[/tex] of all the cards is. After doing so, subtract both amounts from the total number of holiday cards.

2. Find out how many were signed

To find out how much a fraction of a certain value is, multiply the fraction by the value.

[tex]32*\frac{1}{2}=16\\\\32*\frac{3}{8}=12[/tex]

3. Find out how many were left

Now subtract the number of signed cards from the total number of cards.

[tex]32 -( 16 + 12)\\\\= 32 - 16 - 12\\\\= 16 - 12\\\\= 4[/tex]

Answer:

19 in. and 20 in.

Step-by-step explanation:

18^2 = 18 * 18 = 324

19^2 = 19 * 19 = 361

20^2 = 20 * 20 = 400

369 is between 361 and 400, so the side of the table is between 19 in. and 20 in.

Answer:

19 in. and 20 in.

Step-by-step explanation:

18^2 = 18 * 18 = 324

19^2 = 19 * 19 = 361

20^2 = 20 * 20 = 400

369 is between 361 and 400, so the side of the table is between 19 in. and 20 in.

Answer:

25 pages in 10 minutes.

Step-by-step explanation:

3 - 4 + 16 - 10 + 2

= 7

hope it helps :)

Step-by-step explanation:

3 − 4 + 16 − 10 + 2 [B.O.D.M.A.S rule] (First addition)

= 3 + 16 + 2 - 4 -10

= 21 - 14. (Then subtraction)

= 7 (Ans)

Answer:

186.7 cubes

Step-by-step explanation:

How many LaTeX: \frac{1}{3}1 3 inch cubes does it take to fill a box with width LaTeX: 2\frac{2}{3}2 2 3 inches, length LaTeX: 3\frac{1}{3}3 1 3 inches, and height LaTeX: 2\frac{1}{3}2 1 3 inches?

Step 1

We find the volume of the box

= Length × Width × Height

Length = 3 1/3 inches = 10/3 inches

Width = 2 2/3 inches = 8/3 inches

Height = 2 1/3 inches = 7/3 inches

The volume of the box =

10/3 inches × 8/3 inches × 7/3 inches

= 560/9 cubic Inches

= 62 2/9 cubic inches

Step 2

How many 1/3 inch cubes would fill the box.

This is calculated as:= 62 2/9 cubic inches/ 1/3 inches

= 560/9 ÷ 1/3

= 560/9 × 3/1

= 186.66666667 cubes

Approximately = 186.7 cubes

The expanded form of the expression y(0.25 +5) is 0.25y + 5y.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Expanded form or Distributive properties are the same in mathematics.

Given, An expression y(0.25 + 5).

So, applying  distributive property a(b + c) = ab + ac to y(0.25 + 5) we have

0.25y + 5y.

= 5.25y.

learn more about the distributive property here :

https://brainly.com/question/5637942

#SPJ2

Answer:

hey i dont really know, but look up calculator soup, it has a ton of different calculators and may be able to help u

Step-by-step explanation:

/

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Angles.

Complementary angles sum up together to become 90°.

Supplementary Angles sum up together to become 180°.

hence,

1.) Ans ==>Angle ABC and Angle NMP

2.) Ans ==> angle ABC and angle EFG

Answer: Nope I was wrong

Answer:

In general , While estimating a bodies temperature that temperature is not the same for long, the temperature of the body is not at homeostasis, the temperature constantly has bumps and drops in the temperature this causes in accuracy thats why the thermometer takes 10-20 seconds because it takes the average of all the temperature's so it is accurate, that is a difficulty when estimating temperature because estimates are not good and the temperature keeps having ups and downs.

Choose SSS, SAS, or AA to prove the triangles are similar.

A. SSS

B. SAS

C. AA

As, all sides are given so we can use SSS to prove the triangles are similar.

So, correct option is A.

As, all three sides are given so let's check ratio of all three sides.

1. [tex] \tt \cancel{\dfrac{24}{27}} = \dfrac{8}{9}[/tex]

2. [tex] \tt \cancel{\dfrac{32}{36}} = \dfrac{8}{9}[/tex]

3. [tex] \tt \cancel{\dfrac{40}{45}} = \dfrac{8}{9}[/tex]

As, all sides are in equal ratio.

So, by SSS

∆1 ~ ∆2

Answer:

it -16.3

Step-by-step explanation:

Answer:

Answer:

2,4 and 6

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Combine like terms

Simplify:

Therefore, the  term can be combined in the given expression is,

Answer:

824 feet

Step-by-step explanation:

Given

[tex]h(t) = 16t^2[/tex]

[tex]H = 906[/tex] -- Initial Height

Required

Calculate the height after 2 seconds --- missing from the question

First, we calculate the distance moved in 2 seconds

[tex]h(t) = 16t^2[/tex]

[tex]h(2) = 16*2^2[/tex]

[tex]h(2) = 16*4[/tex]

[tex]h(2) = 64[/tex]

This means that the object covered 64feet

The object current height is then calculated as:

[tex]Height = H - h(t)[/tex]

t = 2. So, the equation becomes

[tex]Height = H - h(2)[/tex]

Substitute values for H and h(2)

[tex]Height = 906- 64[/tex]

[tex]Height = 824[/tex]

Answer:

the answer would be 5b as the exterior angle is subdivided with the co efficient

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

Answer:

The sample system is:

see the attached

The points (1, 2) and (4, -3) are in the intersected region but the point (-2, 8) is outside

Answer:

[tex]9 \frac{1}{2} [/tex]

Step-by-step explanation:

just add 5.5 to each number and make it in fraction

hop it helps you

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