Example 2: Identify the reference angle.
A)
135°
B)
260°
C)
310

Answers

Answer 1

Answer:

A) 45

B) 80

C) 50

Step-by-step explanation:

When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.

When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.

When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.

When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.

Example 2: Identify The Reference Angle.A)135B)260C) 310

Related Questions

The unit prices and quantities for two goods for two years
are shown in the table below. Assume that consumers are
purchasing 8 units of water and 10 loaves of bread. Also
assume that Year 1 is the base year.
Year
Price of Water Price of Bread
(dollars) (dollars)
$1.00
$2.00
1
2
2.00
3.00

Answers

Answer: $28

Step-by-step explanation:

The price of water in Year 1 is $1 per unit. There are 8 units so their value is:

= 8 * 1

= $8

Price of a loaf of bread is $2. The basket contains 10 loaves of bread. Value is:

= 10 * 2

= $20

Total value of the basket in year 1 is:

= 20 + 8

= $28

Please help me out!

Answers

Purple Purple is the answer

The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81

Answers

Answer:

I believe A?

Step-by-step explanation:

The graph shows the rate at which two fuel tanks are being filled. Which statement best interprets the distance shown on the graph?

Answers

Answer:

Tank B has 4 more gallons than tank A.

Step-by-step explanation:

someone help me please
39 - 24 + 6m

Which of the following describes 6m in the expression above?

A. factor
B. product
C. coefficient
D. sum​

Answers

The answer is C.!!!!
either a or c. most likely coefficient.

X + Y = 2. y =2x + 5 write the solution as a ordered pair ​

Answers

Answer:

(-1, -2)

x=-1

y=-2

Step-by-step explanation:

x+y=2

y=2x

Knowing this information, we can substitute y for 2x+5 in the first equation.

x+2x+5=2

3x+5=2

3x=-3

x=-1

Now, plug x into the second equation.

y=2(-1)

y=-2

A ____ is a term with a number part but no variable. (WILL GIVE BRAINLIEST) (❁´◡`❁)​

Answers

Answer: it’s a Constant!

Step-by-step explanation:

f(n)=f(n-1)+3; f(1) = 7

Answers

F=3; f=7 hope this helps !

trapezoid.mp4
Find the value of x and y.
Rek2
20
x
12
Y
x =
y =

Answers

9514 1404 393

Answer:

x = 12y = 20

Step-by-step explanation:

The figure only makes sense as a kite, in which case left sides are equal and right sides are equal.

  x = 12

  y = 20

I need help with this

Answers

Answer:

76

Step-by-step explanation:

We know that the two angles must add up to 90 which means that

12+x-2=90

solve for x

14+x=90

x= 76

Factorise
x^2 - 5x - 6

Answers

Answer:

(x+1)(x-6)

thats the ans :)

Please help I need due rn

Answers

Answer:

4 3/12

Step-by-step explanation:

= 4.25 = 4 1/4 = 4 3/12

PLEASE HELP I ATTACHED A PICTURE

Answers

Answer:

option 2

Step-by-step explanation:

x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.

Answer:

Option 2

Step-by-step explanation:

If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement  while option 4 would represent inequality "x ≥ 7".      

35 = 5n
solution with work shown! please help as fast as you can

Answers

I think................n=7..........

Answer:

what are you finding? n?

Step-by-step explanation:

35 = 5 x n

bring over

35/5 = n

7 = n

if you are finding n, this is the answer

hope it helps

What is an equivalent expression for 3(x-12)? *
O
3x-12
3x+12
O
3x-36
3x+36

Answers

The correct answer is
3x - 36

Answer:

3x-36 is equivalent to 3(x-12)

Can someone help me with 13-16 I’ll mark brainliest please guys I’m begging

Answers

How to solve your problem:

2a+13−0+65b

Simplify:

1. Add the numbers -

2a+13+0+65b = 2a+13+65b

2. Rearrange terms

2a+13+65b = 2a+65b+13

Solution: 2a+65b+13

The answer is B.

15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!

Answers

Answer:

t = 10

Step-by-step explanation:

15 = 1.5 × t

15/1.5 = t

10 = t

mark me as brainlist

Which one of the following statements is FALSE?
A
sin 70' = cos 20
B sin 15° = cos 65
С
COS 43 = sin 47
D
sin 12 = cos 78

Answers

Answer:

D because you have to cos

Answer:

B and D

Step-by-step explanation:

sin(15)=0.25

cos(65)=0.42

Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
How many pencils, p, does Mieko have?

Answers

Answer:

meiko has 32 pencils

Step-by-step explanation:

8×4=32

Meiko has 32 pencils.

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.

Let Mieko has x pencils,

Establishing the equation,

Therefore, according to question,

x = 4 × 8

x = 32

Hence, Mieko has 32 pencils

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ5

If an object has a density of 2 g/cm3, and it is placed in a tank of water, will the object float or sink in water? Explain your answer.

Answers

Sink, because waters density is 1g/cm3, and heavier density things sink

Answer:

The object will sink

Step-by-step explanation:

I) The density of water is 1g/cm³.

II) The object's density is greater than 1g/cm³, thus it will sink.

A manufacturing company is shipping a certain number of orders that need to weigh between 193 and 194 pounds in order to ship. Use the dot plot below to answer the following questions.193193.1193.2193.3193.4193.5193.6193.7193.8193.9194Step 1 of 3 : How many orders did the company ship between 193 and 194 pounds

Answers

Answer:

15 orders

Step-by-step explanation:

The computation of the orders did the company ship between 193 and 194 is given below:

= 1 dot + 2 dot + 3 dot + 8 dot + 1 dot

= 15 orders

We just simply count the total dots shown in the attached image in order to determine the number of orders

Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After
one year the total interest earned on these investments was 1820 dollars. How much money did she invest at each rate?

Answers

9514 1404 393

Answer:

$10,000 at 5%$22,000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...

  0.06x +0.05(32000 -x) = 1820

  0.01x +1600 = 1820 . . . . simplify

  0.01x = 220 . . . . . . . . . .  subtract 1600

  x = 22,000 . . . . . . . . . . . multiply by 100

  32000 -x = 10,000

Phyllis invested $22,000 at 6% and $10,000 at 5%.

1) x² + x + 3 = 0 use the discriminant to tell whether the equation has two solution​

Answers

Answer:

The equation does not have any real solutions.

The equation only has two imaginary solutions.

Step-by-step explanation:

Step 1

Use Discriminant to check how many solutions does the equation have.

[tex] \large{D = {b}^{2} - 4ac}[/tex]

Let a = 1, b = 1 and c = 3 from the given equation.

[tex]D = {(1)}^{2} - 4(1)(3) \\ D = 1 - 12 \\ D = - 11[/tex]

Since the value of D is in negative. Therefore, the equation does not have any solutions.

Discriminant

[tex]D > 0 \longrightarrow \sf{two \: \: real \: \: solutions} \\ D = 0 \longrightarrow \sf{one \: \: real \: \: solution} \\ D < 0 \longrightarrow \sf{two \: \: imaginary \: \: solutions} [/tex]

Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.

Answers

Answer:

two sides have the length of 7m

third side is 11m

Step-by-step explanation:

perimeter is the sum of all sides

let 'n' = length of congruent sides

let '2n - 3' = length of third side

25 = n + n + 2n - 3

25 = 4n - 3

28 = 4n

n = 7m

2(7) - 3 = 11m

How many full 5/8 ft pieces of wood can you cut from a board that is 458 feet long?

Answers

Answer:

732 pieces

Step-by-step explanation:

458/5/8

= 458* 8/5= 732 pieces

if my answer helps please mark as brainliest

458 5/8 is the answer

Explain the differences between properties of equality
and properties of inequality when solving equations and
inequalities.

Answers

Step-by-step explanation:

step 1. properties of equality have an "=" in the equation.

step 2. properties of inequality have a <, <=, >=, or a >.

Write an
equivalent expression using the distributive property.
1/4(4x - 6)

Answers

Answer:

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

[tex]\frac{1}{4}(4x - 6) = 4x*\frac{1}{4} - 6*\frac{1}{4}\\\\[/tex]

              [tex]= x -3*\frac{1}{2}\\\\=x - \frac{3}{2}[/tex]

The expression (2x + 6) + x represents the perimeter of an isosceles triangle. If x represents the length of one side of the triangle, explain how you can use Distributive Property to find the length of each of the two equivalent sides?

Answers

Answer:

x+3

Step-by-step explanation:

x= one side of the triangle

(2x+6)=two sides of the isosceles triangle

Factor (2x+6) which is 2(x+3)

So, the length of each side is x+3.

Show me how to work this out please

Answers

Answer:

it's A

Step-by-step explanation:

the reason why it's A is that X can not have to repeating numbers

Find an equivalent expression 3(2d+2) + 2(2d+5)
PLSSSSS I need help

The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4

thankyouuu

Answers

Answer:

10d+16

Step-by-step explanation:

=>3(2d+2)+2(2d+5)

=>6d+6+4d+10

=>10d+16

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