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kotykmax [81]
3 years ago
11

PLEASE HELP!! THANK YOU!

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0
Recall that 2sinxcosx = sin2x.
Thus, sinxcosx = sin2x/2

So, \frac{sin2x}{2} = \frac{1}{4}
sin2x = \frac{1}{2}
2x = \frac{\pi}{6}, \frac{5\pi}{6}
x = \frac{\pi}{12}, \frac{5\pi}{12}

In general form:
x = \pi n + \frac{\pi}{12}
x = \pi n + \frac{5\pi}{12}
Korvikt [17]3 years ago
5 0
Answers A and C and correct for this equation. 
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Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°
Over [174]

To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles

- also the sum of all the angles in any triangle is 180 degrees

Now, considering the isosceles triangle OQR, we have that:

\angle OQR+\angle ORQ+\angle ROQ=180^o

Now, since the figure already shows that angle m\angle2+\angle ORQ+50^o=180^oNow, since we have established that the base angles m\angle2+m\angle2+50^o=180^owe can now solve the above equation for m<2 as follows:

\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}

Therefore, the correct answer is: option D

7 0
1 year ago
Please help me i think i finally uploaded the right file now
KengaRu [80]

Answer:

y = 35x

and 350

Step-by-step explanation:

This problem's quite similar to the last question with the only difference being the 2nd row changed

So I <em>think </em>that the answers should be the same

6 0
3 years ago
define a variable and write an inequality to model each situation. The school auditorium can seat at most 1200 people.
Savatey [412]
The picture is the answer

8 0
3 years ago
What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negati
Anestetic [448]
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.
 
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is 
x²+6x+9=y-8+9
(x+3)²=y+1

6 0
3 years ago
Carla is shopping for Storage Bags. At the grocery store, Brand A Storage Bags are priced $4.59 for 40 count, or Brand B Storage
vichka [17]

Answer:

Brand A

Step-by-step explanation:

Comment

The question is  one of finding out what the unit cost is.

Brand A: $4.59 has a count of 40

Brand B: $3.99 has a count of 30

Brand A

unit = 4.59 / 40 = 0.115

<em>Rounded: 0.12</em>

Brand B

unit = 3.99 / 30 = 0.133

<em>rounded: 0.13</em>

Brand A even with proper rounding is the better buy

8 0
1 year ago
Read 2 more answers
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