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Vlada [557]
3 years ago
7

Use the steps to determine the exact value of

Mathematics
2 answers:
Ede4ka [16]3 years ago
7 0
To solve for sin(-135), the reference angle will be obtained as follow:
sin(-135)
=-sin(135)
=-sin(180-135)
=-sin 45
hence
the reference angle θ=45°
UNO [17]3 years ago
7 0

Answer:

The reference angle will be {\theta}=45^{\circ}

Step-by-step explanation:

To solve for sin(-135), the reference angle can be obtained as follows:

= sin(-135)

=- sin(135) (Because sin(-{\theta})=-sin{\theta})

Thus, the above equation can be written as:

=-sin(180-135)

=-sin45

Hence , the reference angle will be {\theta}=45^{\circ}

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X=7 All you need to do is combine like terms and then move the appropriate terms to the appropriate side.
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At beacon hills middle school, 10% of children travel by bus. if this represents 60 cgildren how many children attend to the sch
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600,, because if 10% is 60 all you have to do is multiply 60 times 10 to get your answer on how many children attend the middle school. 20%= 120,, 30%= 180,, 40%= 240 and so on.
5 0
3 years ago
Find an equation of the parabola with focus (2, −3) and directrix y = 1.
Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

.

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be  P(x,y)  .

The distance of P from the directrix is

           

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

 

The required equation of the parabola is

5 0
3 years ago
I need some help again!!!
djyliett [7]

Answer:

48cm

Step-by-step explanation:

take width of rectangle to be=xcm

Length will be 3x

Area of rectangle=length × width

A=3x × x =3x²

3x²=108

x²=108/3=36

x²=36

x=√36=6cm

substitute

lenth=3x=3×6=18

width=x=6cm

perimeter=2l+2w

p=2×18 + 2×6

p=36+12=48cm

4 0
3 years ago
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A swimming pool holds 540,000 liters of water. The pool has two drain pipes. When the pool is completely full, the first pipe al
tankabanditka [31]

Answer: 72 minutes

Step-by-step explanation:

Pipe A can empty the water in 180 minutes = (180/60) =3 hours

Pipe A does 1/ 3 of the job in 1 hour.

Pipe B can empty the water in 120 minutes = (120/60) = 2 hours.

Pipe B does 1/ 2 of thejob in 1 hour.

Together they will do:

1/ 3 + 1/ 2 = 5/6

Together, both pipes will do 5/ 6 of the job in one hour.

To get the total time to completely drain the water will be:

= 60 ÷ 5/6

= 60 × 6/5

= 12 × 6

= 72 minutes

It takes 72 minutes to empty the pool.

3 0
3 years ago
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