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Anuta_ua [19.1K]
3 years ago
15

Identify the reference angle Ф for each given angle, Ф. When ∅=300°, Ф=

Mathematics
1 answer:
Kay [80]3 years ago
4 0
<h3>Answer:  60 degrees</h3>

=====================================================

Explanation:

The given angle is ∅ = 300. This x value is between 270 and 360, so we're in quadrant IV (the southeast quadrant)

The rule to get the reference angle y for this quadrant is

Ф = 360-∅

This tells us the angle made with the positive x axis

Ф = 360-∅

Ф = 360-300

Ф = 60

A 60 degree angle forms with the positive x axis as shown in the diagram below.

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divide 41000 into two parts such that their amounts at 50% compound interest compounded annually in 2 and 3 years are equal​
Gnesinka [82]

Answer:24600 , 16400

Step-by-step explanation:

Let the first part be x

So, second part will be 41000 - x

For amount x

SI = prt / 100

SI = x * 0.50 * 2

SI = 1x

For amount 41000 - x

SI = (41000-x) * 0.50 * 3

SI = 61500 - 1.5x

1x = 61500 - 1.5x

1.5x + x = 61500

2.5x = 61500

x = 61500 / 2.50 = 24600 for 2 years

2nd part = 41000 - 24600 = 16400 for three years

5 0
3 years ago
Solve for the values of x and y: <br><br> y = 3x - 5 ........(i) and y = -x + 7 ........(ii)
Paraphin [41]

Answer:

x= 3, y= 4

Step-by-step explanation:

y= 3x -5 -----(i)

y= -x +7 -----(ii)

Substitute (i) into (ii):

3x -5= -x +7

3x +x= 7 +5

4x= 12

x= 12 ÷4 <em>(</em><em>÷</em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

x= 3

Substitute x= 3 into (ii):

y= -3 +7

y= 4

6 0
3 years ago
PLEASE HELP 50 POINTS WILL MARK BRAINLIEST. find the value of x rounded to the nearest tenth.
pentagon [3]

For this case we must find the value of "x", by trigonometric relations.

The tangent of an angle is given by the leg opposite the angle on the leg adjacent to the same angle.

tg (25) = \frac {10} {x}\\x = \frac {10} {tg (25)}\\x = \frac {10} {0.46630766}\\x = 21.4450691202

Rounding:

x = 21.4

Answer:

21.4

3 0
3 years ago
Read 2 more answers
Factor out the coefficient of -6y-18
yawa3891 [41]

Answer:

factor -6 out of -6y - 18

Step-by-step explanation:

honestly i got it off of a math website that i use, all of my answers from it are usually correct but if it's wrong feel free to delete it

8 0
3 years ago
Write this equation in standard form y-10=-(x-2)
mr_godi [17]

standard form for a linear equation means


- all coefficients must be integers


- only the constant on the right-hand-side


- "x" must not have a negative coefficient


\bf y-10=-(x-2)\implies y-10=-x+2\implies \boxed{x+y=12}

5 0
4 years ago
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