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Brrunno [24]
3 years ago
13

The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate

plane, and then rotates an additonal 25 degrees. What is the measure of the angle?
Mathematics
1 answer:
Aneli [31]3 years ago
3 0
There are 4 quadrants and each quadrant is has a measure of 90° angle.

Because the direction is positive, it means that the arm is going from 1st quadrant to 2nd quadrant.

90° + 90° = 180°

Because there is an additional rotation of 25°, the arm is now in the 3rd quadrant. 

180° + 25° = 205°

The measure of the angle is 205°
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olga nikolaevna [1]
If she deposited $600 and had $621.60 after four years, then she earned: $621.60 - $600 = $21.60 in four years. It means in one year she earned $21.60 ÷ 4 = $5.40. Now we have to find out how many percent of $600 is $5.40:

$5.40 = x% from $600
5.4 = x/100 * 600
5.4 = 600x/100                 / * 100 (both sides)
540 = 600x                       / ÷ 600 (both sides)
x = 0.9

So the interest rate was 0.9% annually.

Now we have to find out how much is 0.9% from $1100:

$1100 * 0.9% =
= 1100 * 9/1009 =
= 9900/1000 =
= 9.9

It means in one year she would earn $9.90. After 7 years she would earn $9.90 * 7 = $69.30, so she would have in her account:

$1100 + $69.30 = <u>$1169.30</u>
8 0
3 years ago
-2.25-(-3.9) show your work I WILL DO BRAIN LIST 15 POINTS
Elden [556K]

Answer:

The answer is 1.65

Step-by-step explanation:

−2.25−(−3.9)

=−2.25−(−3.9)

=−2.25+3.9

=1.65

7 0
3 years ago
Identify the expression as a numerical expression or variable expression I•8
user100 [1]

A is the answer because the number 8 is a constant. and the multiplication sign is the operator.

6 0
3 years ago
Note angles not necessarily drawn to scale
kondaur [170]

Answer:

<h2>x = 90° - 30° = 60°</h2>

Step-by-step explanation:

Angles CGE and 30° are vertical angles.

Thus, Angle CGE is thus 30°.

Angle CGE and Angle x are complementary, so x = 90° - 30° = 60°

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!! I HAVE BEEN STUCK FOR DAYS!!!!
Sveta_85 [38]

Answer:

40 terms

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} (a₁ + a_{n} )

then

\frac{n}{2} (- 4 - 82) = - 1720 ( multiply both sides by 2 to clear the fraction )

- 86n = - 3440 ( divide both sides by - 86 )

n = 40

the series has 40 terms

3 0
2 years ago
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