Which figure has the largest area?

Answer:

Find sin 2x, knowing tan x = -2, and cos x > 0

Ans:

sin

2

x

=

4

5

Explanation:

3 Trig identities to be used:

1

+

tan

2

x

=

1

cos

2

x

(1)

sin

2

x

+

cos

2

x

=

1

(2)

sin

2

x

=

2

sin

x

.

cos

x

(3)

Given tan x = -2. First find cos x and sin x

(1) -->

1

+

4

=

1

cos

2

x

-->

cos

2

x

=

1

5

-->

cos

x

=

±

1

√

5

.

Since cos x > 0, then

cos

x

=

1

√

5

.

(2) -->

sin

2

x

=

1

−

cos

2

x

=

1

−

1

5

=

4

5

-->

sin

x

=

±

2

√

5

.

Since cos x > 0 then

sin

x

=

2

√

5

.

(3) -->

sin

2

x

=

2

sin

x

.

cos

x

=

2

(

1

√

5

)

(

2

√

5

)

=

4

5

Answer link

Part (a)

Answers:  

-----------------------------------

Work Shown:

Refer to figure 1 in the screenshot attached below.

========================================================

Part (b)

Answers:  

-----------------------------------

Work Shown:

Refer to figure 2 in the screenshot attached below.

Correction:

The derivative for h should be

[tex]h(x) = f(x)*(x-1)^{-1}\\\\h'(x) = \frac{d}{dx}[f(x)*(x-1)^{-1}]\\\\h'(x) = \frac{d}{dx}[f(x)]*(x-1)^{-1}+f(x)*\frac{d}{dx}[(x-1)^{-1}]\\\\h'(x) = f'(x)*(x-1)^{-1}+f(x)*(-1(x-1)^{-2})\\\\[/tex]

I had a -2 in there instead of -1 as the coefficient.

You should find that h ' (2) = -2

That would then lead to y = -2x+9

The steps shown in figure 2 are effectively the same, just with different numbers of course.

Answer: x = 7

Step-by-step explanation:

The two angles depicted in the image are vertical angles since they are a pair of opposite angles made by two intersecting lines. Vertical angles are always congruent meaning that the two angles in the picture are equal. Therefore:

9x + 16 = 12x - 5

-3x + 16 = -5

-3x = -21

x = 7

Answer:

I think answer is B

B.10x+150=180

Answer:

((3+5)/2,(6+11)/2)=(4,8.5)

Answer:

3/4

Step-by-step explanation:

Hope this helps! :)

Answer:

6/5

Step-by-step explanation:

to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal

Answer:

can you take another photo

Step-by-step explanation:

Answer: 1%

Explanation: sorry if I’m wrong.

Answer:

1.4

Step-by-step explanation:

Answer:

x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy

Step-by-step explanation:

ihope makaktulong

if wrong correct me

Answer:

4 cu. units

Step-by-step explanation:

1/3x2x2x3=4 cu. units

Answer:4cu unit

Step-by-step explanation:

2*2*3=12

12* 1/3 =4

Answer:

54 ft

Step-by-step explanation:

So... the volume is length x width x height = volume.

So... 6 x 3 x 3 = 54 ft

Hope this helps =]

9514 1404 393

Answer:

  15) 27

  16) 6144

Step-by-step explanation:

15) Jill's sequence is exponential:

  3 9 27 81 243

Marlando's sequence is linear:

  15 21 27 33 39

The first number in both patterns is 27.

__

16) The number of cards ordered is ...

  (256 pkgs)(24 cards/pkg) = 6144 cards

Answer:

The answer is below

Step-by-step explanation:

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = x + 1 + y + 1 + x = 2x + y  + 2

The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6

b)

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3

The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6

Answer:

16 tomatoes

Step-by-step explanation:

50+3t=98

3t=48

t=16

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

Answer:

16) 9ft, C

17) 1440 cm^3, D

18) 314 m^2, B

Step-by-step explanation:

16) 18 / 6 = 27 / x

18x = 162

x = 9 (C)

17) 24 / 1,920 = 18 / x

24x = 34,560

x = 1440 (D)

18) Surface Area of a sphere = 4 * pi * radius^2 (4r^2)

SA = 4pi(5)^2

SA = 4pi25

SA = 100pi

SA = 100(~3.14)

SA = 314 (B)

The amount of money in the account at the end of the period would be $1345.58.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.

We can write the compound interest as -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

A = 480(1 + 0.15/4)^(4 x 1)

A = 480 + 865.58

A = 1345.58

Therefore, the amount of money in the account at the end of the period would be $1345.58.

To solve more questions on compound interest, visit the link -

brainly.com/question/30098550

#SPJ1

Answer:

172.27 in

Step-by-step explanation:

Apply the Sine Rule

Sine Rule is given as:

[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]

c = x = ?

C = 180 - (52 + 48) = 80° (sum of triangle)

b = 130 in.

B = 48°

Plug in the values

[tex] \frac{130}{sin(48)} = \frac{x}{sin(80)} [/tex]

Multiply both sides by sin(80)

[tex] \frac{130*sin(80)}{sin(48)} = x [/tex]

172.274641 = x

x = 172.27 in. (to 2 decimal places)

Answer:

non statistical

Step-by-step explanation:

khan acadamy

Answer:

Step-by-step explanation:

5p(6L/p)=30L

30 liters can be made with the five pots.

Answer:

0.0144

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both

P(both) = 6/100 * 6/100 = 36/10000 = 0.0036

At Least one

Just One

94/100 * 6/100 =  564/10000 = 0.0564    

Both                                            0.0036

Total                                             0.06

Answer:

$0.20

Step-by-step explanation:

if you divide 2.40 by 12 you get 0.20, which is the answer