Please help me with this!!!

Answer:

[tex]\displaystyle \sin(2A)=\frac{-4\sqrt{21}}{25}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(A)=\frac{2}{5}\text{ and } \tan(A)<0[/tex]

And we want to determine the value of:

[tex]\sin(2A)[/tex]

First, since cos(A) is positive and tan(A) is negative, this means that ∠A must be in QIV.

In QIV, cosine is positive, sine is negative, and tangent is also negative.

The given ratio tells us that the adjacent side to ∠A is 2, and the hypotenuse is 5.

Then by the Pythagorean Theorem, the opposite side will be given by:

[tex](2)^2+o^2=(5)^2[/tex]

Solve for the opposide side:

[tex]o=\sqrt{5^2-2^2}=\sqrt{21}[/tex]

So, with respect to ∠A, the adjacent side is 2, the opposite side is √(21), and the hypotenuse is 5.

Using the double-angle identity, we can rewrite our original expression as:

[tex]\sin(2A)=2\sin(A)\cos(A)[/tex]

Using the above information, substitute in values. Remember that cosine is positive and that sine is negative:

[tex]\displaystyle \sin(2A)=2\Big(-\frac{\sqrt{21}}{5}\Big)\Big(\frac{2}{5}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2A)=\frac{-4\sqrt{21}}{25}[/tex]

Answer:

sin 2A=2sin Acos A

=2×2/5×√21/5=±4√21/25

Step-by-step explanation:

cos A=2/5

B/H=2/5

corresponding value we get

B=2

H=5

by using Pythagoras law

H²=P²+B²

5²=P²+2²

P²=25-4

p=√21

now

sin A=P/H=√21/5

now

sin 2A=2sin Acos A=2×2/5×√21/5=±4√21/25

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

❤+❤=2

Hope this helps =]

Answer:

x=-22433

Step-by-step explanation:

10-20-1222-312-1535-16894-2460 = -22433

Answer:

x= -22433

Step-by-step explanation:

subtracts all

Answer:

y=-1x+2

Step-by-step explanation:

y=mx+b

the slope  is -1

the y-int  is 2

Answer:

C

Step-by-step explanation:

Answer:

ok so its C bc 8 x 0.5 = 4 and so there are 4 long rectangles so multiply by 4 which is 16 bc 4 x 4 = 16 next find the area of the 2 squares 0.5 x 0.5 =0.25

multiply that by 2 because there are 2 squares which is 0.5 and so

16+0.5= 16.5 in²

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pythagorean Theorem

(AB)² = 5.6² + 3.9² = 46.57

radius r = (√46.57)/2 cm

area = πr² = π46.57/4 ≈ 36.5759925 cm l²

Step-by-step explanation:

13.

Supplementary angles = 180º (theorem)

Set <ABD + <DBC = 180º

2x + (x+24) = 180º

add like terms = 3x+24=180

3x=156

x = 52

now plug in x for both angles

<ABD = 2(52) = 104

<DBC = 52+24 = 76

14.

complementary angles = 90º (theorem)

set <EFG + <GFH = 90º

y-32 + y = 90

2y - 32 = 90 : combine like terms

2y = 122

y = 61

now plug in y for both angles

<EFG = 61-32 = 29

<GFH = 61

15.

Vertical angles are equal to each other (theorem)

<PQR = <TRS

38 = 5w-7

45 = 5w

w = 9

plug into <TRS

<TRS = 5(9) - 7 = 38

(Also since you know that <PRQ is 38 and that the measure has to be the same for both angles, it can be assumed without algebra that <TRS would be 38º)

Hope this helps, for futher assistance please check out: http://linktr.ee/x.squared/

Answer:

Option A will be your answer

Step-by-step explanation:

hope it helps

have a great day

Answer: n = 80 sorry if im wrong just give the other person the  Brainiliest

Step-by-step explanation:

have a nice day

Answer:

mAngle A= 132 degrees

Step-by-step explanation:

a = 5x-18. b= 3x+42

a=b because they are alternate interior

5x-18=3x+42

combine like terms

SUbtract 3x from both sides and add 18 to both sides

2x=60

divide by 2

x = 30

Now plug in 30

5(30)=150

150-18=132

Answer:

m a th wa y

Step-by-step explanation:

Answer:

Circumference = 2pi(radius)

C = 2(pi)(9.5)

C = 19pi

The answer is 19pi.

Let me know if this helps!

Answer:

The circumference is 59.6903

Step-by-step explanation:

In order to find the circumference, use the equation C=2πr

Radius is essentially half of the diameter, so 9.5 is our radius

C=2π(9.5)

C≈59.6903

Answer:

Step-by-step explanation:

Answer:

I think it's a

Answer:

6.9

Step-by-step explanation:

6.9

I think its 6.9.

Answer:

23.33%

Step-by-step explanation:

Solution for 35 is what percent of 150:

35: 150*100 =

(35*100): 150 =

3500: 150 = 23.33

Now we have: 35 is what percent of 150 = 23.33

Question: 35 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=150.

Step 4: In the same vein, x%=35.

Step 5: This gives us a pair of simple equations:

100%=150(1).

x%=35(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{150}{35}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{35}{150}

Therefore, 35 is 23.33% of 150.

9514 1404 393

Answer:

  Rotation 90° CCW

Step-by-step explanation:

Note that Figure 1 has a small appendage off the larger rectangle. That appendage is pointing East (to the right).

In Figure 2, that same appendage is pointing North (up).

If you are facing East and you want to face North, you will find that you need to turn 90° in the counterclockwise direction. That is the transformation that was done here:

  rotation 90° CCW about the origin

Answer:

A rotation of 90° counter-clockwise around the origin

Step-by-step explanation:

got it right on ttm :)

Answer:

$42.50

Step-by-step explanation:

250*0.17=42.5

cause %17 in decimal form is 0.17

Answer:

250 decreased by - 17% = $207.50

Explanation

Discount = Original Price x Discount %/100

Discount = 250 × 17/100

Discount = 250 x 0.17

You save = $42.50

Final Price = Original Price - Discount

Final Price = 250 - 42.5

Final Price = $207.50

Answer:

Median: 14

Step-by-step explanation:

Rearrange:

8, 9, 9, 14, 16, 19, 20

Answer:

$20.75

Step-by-step explanation:

50 · 0.25 = 12.25

12.25 + 8.25 = 20.75

Answer:1/2 y

Step-by-step explanation:

We can solve this using ration reasoning:  

x

2

x

1

=

y

2

y

1

Explanation:

If  

x

varies directly with  

y

(written  

x

∝

y

), then doubling  

y

means doubling  

x

, so the rations of final values and initial values will be the same:

x

2

x

1

=

y

2

y

1

In this case,

x

2

9

=

24

18

x

2

=

9

⋅

24

18

=

12

Or, intuitively, if  

x

∝

y

and  

x

=

9

when  

y

=

18

, we can conclude that

x

=

1

2

y

and  

1

2

of 24 is 12.

Answer:

someone can help u

Step-by-step explanation:

stan kim namjoon for help

Answer: coordinate x is translated 2 unit left and the coordinate y is translated 4 units down

so y(5, -2) .......y' (3, -6)

z (0,0)...........z'(-2, -4)

Step-by-step explanation:

Answer:

63.0

Step-by-step explanation:

1 in = 2.54 cm

160/(2.54) = in

62.99

63.0

Answer:

62.99⇒63 inches

Answer:

180 degree angle is called straight angle

Answer:

A 180-degree angle is referred to as a straight angle.

Step-by-step explanation:

Answer:

relationship between base and hypotenuse is given cos angle

cos 20=b/h

cos20=x/160

x=cos20×160=150.35=150ft is your answer

Step-by-step explanation:

try yourself

know the basic concept

Answer:

B

Step-by-step explanation:

150ft you look at the angle of the wire, and count how many degrees it is

Money in Alex's account after 16 years = [tex]\boxed{\bold{\color{plum}£4347.11}}[/tex]

Money invested by Alex = £3045

Percentage of compound interest per annum = 2.25%

We know that :

[tex]\tt \: \color{hotpink}A \color{plum} = P {(1 + \frac{r}{n} )}^{nt} [/tex]

In this case :

Principal = £3045

Rate = 2.25% = 0.0025

Number of times interest is compounded per year = 1

Time = 16 years

Which means :

Money Alex will have in the account after 16 years :

[tex] = \tt3045 ({1 + \frac{ 0.0025}{1} })^{16} [/tex]

[tex] \color{plum}= \tt £4347.11[/tex]

Therefore, the money in Alex's account after 16 years = £4347.11

Answer:

25.609756097561%

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

your question is very important and you are not gonna get the right answer