The New Horizons is an interplanetary space probe that approached the dwart planet Pluto in 2015. How many arc degrees of Pluto are visible to the New Horizons space probe while approaching the dwarf planet?

Answer:

2. Divide the difference by the original number.3. Multiply it by 100.

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Answer:

y' = 1 / sinxcosx

Step-by-step explanation:

Given :

y = sinx + cosx / sinx - cosx

Applying quotient rule :

y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -

cosx)²

y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²

y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²

y' = -2(sin²x + cos²x) / (sinx - cosx)²

y' = -2 / (sinx - cosx)²

y' = -2 / sin²x - 2sinxcosx + cos²x

y' = -2 / -2sinxcosx

y' = 1 / sinxcosx  [⇒ Final answer]

Answer:

⇒[tex]y'=-\frac{2}{(six-cosx)^{2} }[/tex]

Step-by-step explanation:

⇒Answer in the attachment.

Answer:

38m and 90cm

1m = 100cm

3890cm = 38m and 90cm

Step-by-step explanation:

1m = 100cm

3890cm = 38m and 90cm

It is 3890 cm long

1 m = 100cm -->  3890cm = 38.9 meters

Hope that helps!

The CPI means consumer price index. The CPI is 151. Then the correct option is B.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A raincoat costs $79. 25 today. If a similar raincoat cost $52. 48 in 1983.

CPI is given as

[tex]\rm CPI = \dfrac{Price\ of\ raincoat\ today}{Price\ of\ raincoat\ in\ 1983}*100\\\\ CPI = \dfrac{79.25}{52.47}*100\\\\ CPI = 151[/tex]

More about the percentage link is given below.

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Answer

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The goat will be able to move in a circular manner

Step-by-step explanation:

1_ radius =3.5/2=1.75

then area of a circle is πr²=

=22*1.75*1.75/7=

9.6m²

2- if length is increase to 4.9 m then new radius =2.45

then new area =22*2.45*2.45/7=37.75m

I hope it will help u and please mark as brainliest answer then u will get points

Answer:

exponential form = 2.1^2

evaluation = 4.41

Step-by-step explanation:

it is multiplying 2.1 two times, therefore its 2.1^2

hence,

2.1 times 2.1 = 4.41

Answer:

4x^2 + 24x = 45

Step-by-step explanation:

Answer:

4x² + 24x = 45

Step-by-step explanation: mark me brainliest!

”The total area of the frame and picture needed by the photographer = 80 in²The size of the picture that will be in the frame = 5 × 7 inchThe length of the picture = 7 inchesThe width of the picture = 5 inchesLet x represent the width of the frame, we get;

The width of the total area = The width of the picture + 2 ×

The width of the frameTherefore, the width of the total area = 5 + 2·x

The length of the total area =

The length of the picture + 2 ×

The width of the frame

Therefore, the length of the total area = 7 + 2·xWe get;

The total area = Total length × Total width 

The total area = (5 + 2·x) × (7 + 2·x) 

We are given that the total area = 80, therefore, by transitive property of equality,

we have;(5 + 2·x) × (7 + 2·x) = 8035 + 10·x + 14·x + 4·x² = 804·x² + 24·x = 80 - 35 = 45∴ 4·x² + 24·x = 45

Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.”

Answer:

Thanks for the points but someone may report and delete it.

Step-by-step explanation:

The student's work is wrong because she did not subtract the rate of depreciaton from 100%.

Depreciation is when the value of an asset declines with the passage of time.

FV = P (1 - r)^n

2500 x (1 - 0.20)^4 = 1024

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Answer:

AC = 14.0

Step-by-step explanation:

We know that this is a non-right triangle, so we must use either the law of sines or law of cosines to find AC.

We can find the measure of <C using 180 - (118 + 22) = 40

Since we only know one side and all the angles, we can use the law of sines:  [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]

[tex]\frac{24}{sin 40}=\frac{AC}{sin 22}[/tex]

Solving for AC gives us AC = 13.986826, which we can round to 14.0

Answer:

$8,720

Step-by-step explanation:

SI = PRT where;

SI = simple interest

P = principal amount/starting amount

R = rate as a decimal/fraction

T = time in years

I = 8000 . 5 . 0.018

I = 720

8000 + 720 = 8720

Answer:

=(3/8)x+3(3/4)y−(1/3)

Step-by-step explanation:

Perimeter =(7/8)x+(3/4)y+2y−1+y−(1/2)x+(2/

3)

Combining like terms together,

=(7/8)x−(1/2)x+(3/4)y+2y+y−1+(2/3)

=(3/8)x+3(3/4)y−(1/3)

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I think the answer is in 10 years from now the investment will be worth 24,960 and five years ago it was worth

Answer:

math po ba yun

Step-by-step explanation:

o sience anong subject yan

Answer:

i don't know I don't have ideas

Answer:

17/19

Step-by-step explanation:

Total number of cards - number of diamond card

Total number of cards

5+12+2

19

19

Answer:

calculate length of BE is 9

Step-by-step explanation:

because the line which is in between two sides of a triangle is parallel with the third side and it's length equals the half of the third's side length

Answer:

  160

Step-by-step explanation:

  5/4 × 128 = 160

__

You can write the proportion ...

  128 : x = 4 : 5

Then multiplying by 5x gives ...

  (128)(5) = 4x

  x = (5/4)(128) = 160 . . . . divide by 4 and evaluate

The volume of the shape shown is 105π cm³

Volume is the amount of space occupied by a three dimensional shape and object.

Volume of the cone = (1/3) * π * (6/2)² * 5 = 15π cm³

Volume of the cylinder = π * (6/2)² * (16 - 5 - 6/2) = 72π cm³

Volume of the hemisphere = (2/3)π * (6/2)³ = 18π cm³

Volume of the shape = 15π cm³ + 72π cm³ + 18π cm³ = 105π cm³

The volume of the shape shown is 105π cm³

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Answer: y = 50 and x = 6

Step-by-step explanation:

Answer:

y+x=56

y=50

x=6

50+6=56

Hope this helps you

Answer:

A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right

The sequence of transformation is "a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right" option (A) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The missing figure is attached to the picture, please refer to the picture.

From the figure we can see the transformation applied on the pentagon is a 90° counterclockwise rotation around the origin, followed by a translation of Three units up and seven right

Thus, the sequence of transformation is "a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right" option (A) is correct.

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Answer:

The answer is 3

Step-by-step explanation:

If there is 10 in total

   . if there are 5 green apples

. and 2 red apples

there would be 3 golden apples

. 5 + 2 = 7  

. 10 - 7 = 3

golden = 3

Answer:

There's 3 gold apples

Step-by-step explanation:

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#Dotted one

Slope

Equation in point slope form

Put (0,0)

So the equation is

#Dark one

Equation in intercept form

Put (0,0)

Equation

Answer:

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

Step-by-step explanation:

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

Answer:

BC = 5 cm (nearest whole number)

Step-by-step explanation:

Use the sine trig ratio:

[tex]\mathsf{\sin \theta=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

Substituting these values into the sine ratio formula:

[tex]\implies \mathsf{\sin (22.6)=\dfrac{a}{13}}[/tex]

[tex]\implies \mathsf{a=13\sin (22.6)}[/tex]

[tex]\implies \mathsf{a=4.995839195...}[/tex]

Therefore, BC = 5 cm (nearest whole number)

Answer:

a = 12

b = 9

Step-by-step explanation:

b = 3/4(a)

9 = 3/4(12)

9 = 9

a + b = 21

9 + 12 = 21

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

b = 3/4(a)

-16(1/4) = (3/4) ((37(1/4))

-16 (1/4) = 447/16

False

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

a + b = 21

20 + 11 = 21

31 = 21

False

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

a + b = 21

20 + 15 = 21

35 = 21

False

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

The only correct one was a = 12; b = 9

I hope this helps!

i think the answer is 12

Step-by-step explanation:

Answer:

See attached image.

Step-by-step explanation:

See the attached image.

Use Microsoft Excel to produce a scatter chart.

The correlation coefficient is -0.12 and the line of the best fit is y = -0.11x + 385.50

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

From the table, the value of r:

r = -0.12

The negative correlation exist between year and time.

Since the value of r is not near the -1 or -1 we can say the relation is very weak.

The line of best fit:

y = mx + c

m = -0.11

c = 385.50

y = -0.11x + 385.50

Thus, the correlation coefficient is -0.12 and the line of the best fit is y = -0.11x + 385.50

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Answer:

76

Step-by-step explanation:

5 + X = Y

Y/ 3 = 27

Substitute Y with 5 + X

(5 + X) / 3 = 27

5 + X = 81

X = 76

Answer:

76

Step-by-step explanation:

let the number be n then added to 5 is 5 + n , so

[tex]\frac{1}{3}[/tex] (5 + n) = 27 ( multiply both sides by 3 to clear the fraction )

5 + n = 81 ( subtract 5 from both sides )

n = 76

the number is 76

Answer: 75

Step-by-step explanation: Keywords; "driving 25 miles per hour", "travels for 3 hours in total"

To solve this problem we are going to use the rate (r) and time (t) equals distance (d) formula.

d=rt

plug in the numbers into the formula as shown.

d=25 x 3

now solve.

25x3=75

final answer is 75.

hope this helps!