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ira [324]
3 years ago
7

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

Mathematics
2 answers:
grin007 [14]3 years ago
7 0
(4√2, 225°), (-4√2, 45°)
KatRina [158]3 years ago
4 0

The point (4, -4) lies in Quadrant IV. Since we are interested only in positive angles, we choose 315 degrees with a radius (magnitude) of 4√2. That automatically eliminates Answer Choices A, B and C, so all we have to do now is to verify that (-4√2, 135 degrees) also represents (4, -4). It does: Going to Quadrant II with angle 135 degrees, and then using -4√2 as the magnitude, takes us to Quadrant IV.

Thus, D is the correct answer.

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4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play
ioda

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

Learn more about Linear Equations here brainly.com/question/24085666

#SPJ1

5 0
1 year ago
A recipe that makes 16 cookies calls for 14 cup of sugar and 23 cup of flour. Janelle wants to proportionally increase these amo
vlada-n [284]

Answer:

64 cookies : 1 cup of sugar : 8/3 or 2 2/3 cup of flour

Step-by-step explanation:

16 cookies : 1/4 cup of sugar : 2/3 cup of flour

Multiply each part by 4 to find how much flour and how many cookies would be used in the same recipe with 1 cup of sugar.

64 cookies : 1 cup of sugar : 8/3 or 2 2/3 cup of flour

4 0
3 years ago
Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec
charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴  = 2⁽³⁻⁴⁾

2³ × 2⁻⁴  = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0
2 years ago
Give the slope of each of the following lines Name a point on each line <br> y+2=2/3 (x-4)
Effectus [21]

Answer:

See answer below

Step-by-step explanation:

y + 2 = 2/3(x - 4)

y + 2 = 2/3x - 8/3

y = 2/3x - 8/3 - 2

y = 2/3x - 2 2/3 - 2

y = 2/3x - 4 2/3  or y = 2/3x - 14/3  

Slope = 2/3  

4 0
3 years ago
How to find the b in the y=mx + b
Ber [7]
-1= (2)(7)+b
-1=14+b
B=-15
4 0
3 years ago
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