Which of the following shows the correct order of the given numbers?

1, 1, 1.6

Given:

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

To find:

The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

[tex]\cos \theta =\dfrac{3}{5}[/tex]

[tex]\sin \theta <0[/tex]

Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.

We know that,

[tex]\sin^2\theta +\cos^2\theta =1[/tex]

[tex]\sin^2\theta=1-\cos^2\theta[/tex]

[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]

It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,

[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]

After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get

[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]

[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]

[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]

[tex]\sin \theta=-\dfrac{4}{5}[/tex]

Therefore, the correct option is B.

Answer:

answer is A. you can see each intervals slowly to know this

Answer:

14 days

Step-by-step explanation:

Since there are already 8000 trinkets in the warehouse, this means that we need to find the number of days it will take for the factory to create 42,000 trinkets which would cause the warehouse to max out it's capacity.

50,000 - 8000 = 42,000 trinkets

Since the factory can produce 3000 trinkets per day, we simply need to divide 42,000 by 3000 to get the number of days before the warehouse is at max capacity

42,000 / 3000 = 14 days

Therefore, it will take 14 days for the warehouse to be filled

Answer:

the area of the parallelogram = base times the height

For the given parallelogram :

x = 8 units, y = 13 units, and h = 11 units

1) If x is the perpendicular to h

So, the base = 8 and the height = 11

So, the area = 8 * 11 = 88 square units

2) If y is the perpendicular to h

So, the base = 13 and the height = 11

So, the area = 13 * 11 = 143 square units

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

Answer:

There are 26 tickets left to be sold.

Step-by-step explanation:

Jason - 6 tickets

Heather - 6(3) = 18 tickets

6+18 = 24 tickets

50-24 = 26 tickets

Answer:

y-y1=m(x-x1)

y-1/3=3/4(x-4)

y=3/4x-8/3

Answer:

I would answer but I have no numbers to give the answer

answer:

the answer is going to be ½

Answer:

42.4

Hope that this helps!

Answer: 66.25%

Step-by-step explanation:

53/80 x 100= 66.25%

Answer:

153.86

Step-by-step explanation:

So first off, what is the formula for finding area of a circle?

Its [tex]\pi r^{2}[/tex]

We know that r(radius), is the distance from one point of the circle to its center.

In this case it is 7.

Note that in other cases, you might see a line going strait through the middle of the circle.

This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.

Now, back to the problem.

We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:

[tex]\pi *7^{2}[/tex]

=

[tex]\pi *49[/tex]

=

153.93

So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.

However, it is the only possible answer, so it is correct.

Answer:

153.86

Hope this helps!

Answer:

diameter=22

circumference=22pi

Step-by-step explanation:

diameter=2*radius

so 2*11=22

circumference=2pi*r

=2*11*pi

=22pi

Answer:

The 24,003 is the fastest

Answer:

7) 96

8) 84

9) 72

Step-by-step explanation:

A = bh

7)

b = 12, h = 8

A = 12*8 = 96

8)

b = 12, h = 7

9)

b = 8, h = 9

Answer:

A

Step-by-step explanation:

geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

12•9

108

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11

i think D is the answer 16

Answer:

There is no possible value for P

Step-by-step explanation:

In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree

We solve using the law of sines

p/sin P = r/sin R

7.6/sin P = 3.5/sin 160

Cross Multiply

sin P × 3.5 = 7.6 × sin 160

sin P = 7.6 × sin 160/3.5

P = arc sin (7.6 × sin 160/3.5)

There is no possible value for P

15/25= y/30

y= 3/5×30

y= 3×6

y=18

THE ANSWER IS Y=18

Answer:

y = 6

Step-by-step explanation:

One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5.  Then

 1       y

---- = -----

  5    30

Through cross-multiplication, we get 5y = 30, or y = 6

Answer:

3^-6(81)^2=3^-6(6561)=9 which is 3^2

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

Answer:

about (-3,1.5)

Step-by-step explanation:

Hope this helps!

Answer:

whats the question..........

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

= (3 * 6) / (4 * 1)

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour