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borishaifa [10]
2 years ago
8

What are the steps to this?

Mathematics
1 answer:
Volgvan2 years ago
5 0

Answer:

Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

∠

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

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What is the vertex of this equation?
AfilCa [17]

Answer:

  (5, 4)

Step-by-step explanation:

The equation can be written in vertex form by adding and subtracting 25:

  y = -(x^2 -10x +25) -21 +25

  y = -(x -5)^2 +4

Then the vertex can be identified as (5, 4).

7 0
2 years ago
Ricardo changed $600 into pounds when the exchange rate was $1 = 0.60 pounds
yulyashka [42]

600 x 0.60 = 360 pounds

360 /0.72 = 500

He got $500

8 0
2 years ago
If f(x) = 3x5 + 4x3 + 3, then what is the remainder when f(x) is divided by<br> x - 3?
VikaD [51]

Answer:

840

Step-by-step explanation:

8 0
3 years ago
I WILL GIVE BRAINLIEST
masha68 [24]

Answer:

Part A = 64 feet

Part B = 79 feet

Step-by-step explanation:

Part A

10 × 2 = 20 = Diameter

Formula is C = π × diameter

20 × π = 62.8318530718 feet = 64 feet

Part B

25 × 2 = 50

Same formula

50 × π = 157.079632679 feet

157.079632679 ÷ 2 = 78.5398163395 feet = 79 feet

divide by 2 because it is a semi circle

Hope his helped :)

8 0
3 years ago
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Gnoma [55]

There would be 12 people at the party!

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

Hope this helps!

3 0
2 years ago
Read 2 more answers
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