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3 years ago

Find the general solution and find the specific solutions over the interval [0,4pi]

Mathematics

1 answer:

Natasha2012 [34]3 years ago

5 0

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

cos

(

)

Step 2: Divide both sides by 2:

cos

(

)

Step 3: Take the square root of both sides:

cos

(

)

√

cos

(

)

−

√

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

cos

−

(

√

)

cos

−

(

−

√

)

Step 5: Find angles that work:

Step 6: Solve for x:

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

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A pizza parlor offers pizzas with diameters of 8 in, 10 in, and 12 in. find the area of each size pizza. round to the nearest te

MaRussiya [10]

Area od pizza, A = Pi*Diameter^2/4

A1 = Pi*8^2/4 = 50.27 in^2
A2 = Pi*10^2/4 = 78.54 in^2
A3 = Pi*12^2/4 = 113.10 in^2

Cost (C) per sq. in;
C1 = 50.27/9 = $5.59
C2 = 78.54/12 = $6.55
C3 = 113.10/18 = $6.28

The best buy is the first pizza with 8 in diameter as it costs the least per sq. inch.

3 0

3 years ago

Read 2 more answers

What is k/5.2 + 81.9= 47.2

weqwewe [10]

Solution for k/5.2+81.9=47.2 equation:
<span>k in (-oo:+oo)

k/5.2+81.9 = 47.2 // - 47.2

k/5.2-47.2+81.9 = 0

0.19230769*k-47.2+81.9 = 0 // - 81.9-47.2

0.19230769*k = -(81.9-47.2) // : 0.19230769

k = (-(81.9-47.2))/0.19230769

k = 5.20000006*(47.2-81.9)

k = 5.20000006*(47.2-81.9)

Always Practice, It makes Perfect! Anyways, I hope I helped... It would be nice if you can answer mine too, But you dont have to! ;) </span><span>brainly.com/question/253764
</span>

7 0

3 years ago

Points F and E on the coordinate grid below show the positions of two midfield players of a soccer team:

Lelechka [254]

Answer:

F is E reflected across the y-axis; only the signs of the x-coordinates of F and E are different.

Step-by-step explanation:

The question is incomplete. Here is the complete question.

" Points F and E on the coordinate grid below show the positions of two midfield players of a soccer team:

Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point E is 1.5 units to the left and 3 units up. From the origin, point F is 1.5 units to the right and 3 units up.

Which statement best describes the relationship between the positions of the two midfield players? (1 point)

Based on the coordinate of E;

The value on the x axis is -1.5 since the point is 1.5unitsTO THE LEFT from the origin(-ve x-axis acts towards the left in space). The value on the y-axis will be +3units since its 3units UP(+ve y axis acts upward).

The E coordinates will therefore be (-1.5, 3)

Similarly, for coordinate F:

If from the origin, point F is 1.5 units TO THE RIGHT, then the x-axis will be +1.5 (x-axis is positive towards the right) and +3 units up(+ve y axis acts upward).

The F coordinate will therefore be;

(1.5, 3).

From both coordinates, it can be seen that both x axis are of the same value but different signs. This means that the points E and F will act in the opposite side of the y-axis and a reflector of each other.

Based on the explanation above, it can be concluded that "F is E reflected across the y-axis; only the signs of the x-coordinates of F and E are different."