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brilliants [131]
3 years ago
13

Identify the terminal point for a 30° angle in a unit circle.

Mathematics
1 answer:
Afina-wow [57]3 years ago
4 0

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

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The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home
JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

<u>Question asked:</u>

How many gallons of gas did the car use on the drive?

<u>Solu</u>tion:

Before they left, quantity of gas in the tank = \frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons

When they returned, quantity of gas in the tank = \frac{1}{3} \times18=\frac{18}{3} =6\ gallons

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0
3 years ago
[IMAGE ATTACHED]<br> I don’t understand this please help.
rusak2 [61]

Answer:

  • z+5+101=180°( being straight angle)
  • z=180°-106°
  • z=74°

<h3>hope it helps.</h3><h3>stay safe healthy and happy</h3><h3 />
5 0
3 years ago
Holly has a budget of $40 per month to spend on movies. She made a table showing the total amount of movie money she will have l
sammy [17]
The slope intercept equation is y=mx + b

3 0
3 years ago
Need help with 9 and 12(theirs a picture)
Doss [256]

Number 6 is incorrect. Remember when you see -(-1) that is addition because you are subtracting a negative from a negative so you take the negative sign away and you have a positive. The correct answer to 6 is -75. For number 9 the first thing that you are gonna do is distribute that negative sign to the -12 in parentheses. This will make it a positive 12 which leaves you with

-8+12-31=-27

Next for number 12 you will distribute the - sign onto the -9 in parentheses and the -16 in parentheses. This will leave you with -16+9+16=9

Hope that this helped!

8 0
4 years ago
What is the sum of the interior angles of the polygon shown?
Virty [35]

The sum of the interior angles of the polygon shown is 540 degrees

<em><u>Solution:</u></em>

<em><u>The sum of the measures of the interior angles of a polygon with n sides is:</u></em>

Sum =  (n -2) \times 180

From given figure in question,

Number of sides in polygon = 5 ( which is a pentagon )

Therefore,

n = 5

<em><u>Thus the sum of measures of interior angles is:</u></em>

Sum = (5-2) \times 180\\\\Sum = 3 \times 180\\\\Sum = 540

Thus the sum of the interior angles of the polygon shown is 540 degrees

3 0
3 years ago
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