pls pls help
Perform the indicated operations.
a) 7a/20b
b) 7ab/20
c) 7/20ab

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.

Multiply the number of chairs by the price of the chair:

34 x 205 = 6,970

Total spent = $6,970

Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]

Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]

In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]

Answer:

it is FH < HI

Step-by-step explanation:

Answer:

EF = 9

GF = 2

Step-by-step explanation:

For EF, we want to find the distance between their c coordinates, since their y coordinates are the same. We want the distance between -4 and 5, which when you add their distance from 0, is 9.

For GF, they share the same x coordinate, so you're finding the distance between their y coordinates, which are 3 and 5. The distance between the two is 2, so the length of GF is 2.

Answer:

6 x 8 = 48 yd2 (square yards)

Step-by-step explanation:

Answer:

Area of triangle is 23 yd².

Step-by-step explanation:

Given :-

Base of triangle = 8 yd

Height of triangle = 6 yd

To find

Area of triangle

Solution :-

we know that,

Area of triangle = 1 / 2 × base × height

substitute the values

Area of triangle = 1/2 × 8 yd × 6 yd

multiplying the values

Area of triangle = 1/2 × 46 yd²

divide the values

Area of triangle = 46 yd ² /2 = 23 yd².

Therefore, Area of triangle is 23 yd ².

Answer and Step-by-step explanation:

Plug 3 in for f(x), then plug the result of f(x) into g(x).

f(3) = 3(3) - 5

f(3) = 9 - 5

f(3) = 4

g(4) = [tex](4)^2 - 4(4)[/tex]

g(4) = 16 - 16

g(4) = 0

So, g(f(3)) = 0

#teamtrees #PAW (Plant And Water)

Answer:

0 is the final answer

Step-by-step explanation:

Substitute given values for x accordingly

Answer:

Dependent

Step-by-step explanation:

The probablity of the second draw depends on the results of the first draw.

Answer: B or D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer must have 5! since it is a combinaiton of letters without any repeats. Since you want two words, its 2/5!

i think D is the answer 16

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

The answer is 4.75 you just need to add all of the numbers and then divide it to the total sum :)

Carry On Learning (◕ᴗ◕✿)

Answer:

C

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

x × x = 4 × 9

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Given:

A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].

To find:

The missing value for the given equation by using the angle addition postulate.

Solution:

A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].

Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].

[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]

Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].

Answer:

r = [tex]\frac{V-IR}{I}[/tex]

Step-by-step explanation:

Given

V = I (R + r) ← distribute parenthesis

V = IR + Ir ( subtract IR from both sides )

V - IR = Ir ( divide both sides by I )

[tex]\frac{V-IR}{I}[/tex] = r

Answer:

Amount charged for downloading individual songs = x dollars

Amount charged for downloading an entire album = y dollars

In respect to person A:

6x + 2y = 25.92

3x + y = 12.96

y = 12.96 - 3x

In respect to person B:

4x + 3y = 33.93

Putting the value of y from the first equation in the second, we get

4x + 3(12.96 - 3x) = 33.93

4x + 38.88 - 9x = 33.93

- 5x = - 4.95

x = 0.99 dollars

Putting the value of x in the first equation, we get

y = 12.96 - 3x

  = 12.96 - 2.97

  = 9.99 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

Io

Answer:

1 /24

Step-by-step explanation:

Given the 3 spinners :

Probability = required outcome / Total possible outcomes

Probability that Spinner 1 lands on A :

P(spinner 1 lands on A) = 1/2

Probability that spinner 2 lands on 4 :

P(lands on 4) = 1 / 4

Probability that spinner 3 lands on green :

P(lands on green) = 1/3

Combined probability = 1/2 * 1/4 * 1/3 = 1 /24

Answer:

-2

Step-by-step explanation:

negative times positive equal negative so

-1×2= -2

Answer:

[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer: 582.7526

Step-by-step explanation:

p =3,14

r =13,4:2=6.7

r^2=44.89

SA= 3,14*44.89+3,14*6,7*21= 582,7526

Answer:

Christmas Party

Step-by-step explanation:

Christmas Eve party :

Youngest = 15

Oldest = 29

Therefore , range = 29 - 15 = 14

Christmas Party :

Youngest = 27

Oldest = 42

Therefore, range = 42 - 27 = 15

Christmas Day party has a larger age range of visitors.

Given that: The youngest person to attend the Christmas Eve party is 15 and the oldest is 29. So the range is = 29 - 15 = 14.

Given that: The youngest person to attend the Christmas Day party is 27 and the oldest is 42. So, the range is  = 42 - 27 = 15.

Since 15 > 14, so Christmas Day party has a larger age range of visitors.

Learn more: https://brainly.com/question/22739156

Step-by-step explanation:

i think is k , m , l

bcause 4 is the smallest number,

and 12 is the biggest number.

Answer:

The right solution is "36 years".

Step-by-step explanation:

Given:

Principle,

P = $2,340,260

Amount,

A = $3,393,377

Simple interest,

SI = 3,393,377 - 2,340,260

   = $1,053,117

Rate of interest,

r = 1.25%

As we know,

⇒ [tex]SI=\frac{Prt}{100}[/tex]

By substituting the values, we get

⇒ [tex]1053117=\frac{2340260\times 1.25\times t}{100}[/tex]

⇒ [tex]10531170=292532.5\times t[/tex]

⇒              [tex]t=\frac{10531170}{292532.5}[/tex]

⇒                [tex]=36 \ years[/tex]

Answer:

Step-by-step explanation:

The exponential decay function is

[tex]v(t)=a(b)^t[/tex] where b, the rate of decay, for us is (1 - .115) and a is the original value of the car which, for us, is 18000. t is the time in years. Using this information to write the equation we need to solve for the value when the car is 10 years old:

[tex]v(t)=18000(.885)^t[/tex] and we sub in 10 for t:

[tex]v(t)=18000(.885)^{10[/tex] which simplifies to

v(t) = 18000(.2947356754) so

v(t) = 5305.24

Answer:

$512

Step-by-step explanation:

Interest = 16% of 800

             = 16/100 x 800

             = $128

Interest for 4 years = 128 x 4

                                = $512

Answer:

54

Step-by-step explanation:

Surface area of triangular prism = bh + L(s1 + s2 + s3)

Where,

b = 3

h = 4

L = 3.5

s1 = 3

s2 = 4

s3 = 5

Plug in the values into the equation

Area of the triangular prism = 3*4 + 3.5(3 + 4 + 5)

= 12 + 42

= 54 units²

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

u just gave that are we meant to solve it is there anything to substitute into it what are we actually meant to do?

Step-by-step explanation:

Answer:

I think it's 6 (square root) 2