Light travels at a speed of 1.8 x 10^7 miles per second. Pluto's average distance from the sun is 3,600,000,000 miles. on average how long does it take sunlight to reach Pluto?

Answer:

A

Step-by-step explanation:

1) first there are a few rules we need to know:

a) the sum of any two sides of a triangle is always larger than the 3rd side

b) the difference between any two sides of a triangle is always smaller than the 3rd side;

hence,

3+4=7

4-3=1

triangle 3,4,5 follows all the rules,

triangle 13,2,11:

11+2=13

the sum of any two sides must always be GREATER than the 3rd side-so this is not an option

triangle 10,4,5

5+4=9

9<10

not an option

Answer:

[tex]CD = 12.6866616739cm[/tex]

[tex]CD \approx12.7cm[/tex]

Step-by-step explanation:

[tex]CB = a[/tex]

[tex]AB = b[/tex]

[tex]AC = c[/tex]

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {12}^{2} - {6}^{2} } [/tex]

[tex]a = \sqrt{144 - 36} [/tex]

[tex]a = \sqrt{108} [/tex]

[tex]CB = \sqrt{108} [/tex]

[tex] \sin(D) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(D) = \frac{CB}{CD} [/tex]

[tex] \sin(55) = \frac{ \sqrt{108} }{CD} [/tex]

[tex](CD) \sin(55) = \frac{ \sqrt{108} }{CD} (CD)[/tex]

[tex](CD) \sin(55) = \sqrt{108} [/tex]

[tex] \frac{(CD) \sin(55) }{ \sin(55) } = \frac{ \sqrt{108} }{ \sin(55) } [/tex]

[tex]CD = \frac{ \sqrt{108} }{ \sin(55) } [/tex]

[tex]CD = 12.6866616739cm[/tex]

[tex]CD \approx12.7cm[/tex]

Answer:

22%

Step-by-step explanation:

The change in calories = 1950 - 2500 = -550

percent decrease for calorie intake = (change in calories / initial calorie intake ) x 100

[tex]\frac{-550}{2500}[/tex]  X 100 = -22%

Answer:

22%

Step-by-step explanation:

i did the quiz

Answer:40

Step-by-step explanation:

100+10+10=3x

3x=120

Divide both sides by 3

X=40

Answer:

40

Step-by-step explanation:

add 100+10+10 and divide it by 3

Answer:

y=-9

Step-by-step explanation:

-10(9)-8y=-18

solving for y.

Answer:

p(-2) = -11

p(0) = -3

p(5) = 17

Step-by-step explanation:

Step(i):-

Given that the polynomial function  p(x) = -3 +4x ..(i)

Given x =-2 , 0 and 5

put x =-2 in equation (i)

p(-2) = -3 +4(-2)

       = -3 -8

p(-2) = -11

Step(ii):-

put x =0 in equation (i)

p(0) = -3 +4(0)

       = -3 +0

p(0) = -3

Step(iii):-

put x = 5 in equation (i)

p(5) = -3 +4(5)

       = -3 +20

p(5) = 17

Answer:

All the options are equivalent except;

4 + y

Step-by-step explanation:

The question relates to the number of ways the operation of a multiplication operation can be represented algebra

1) The coefficient of a variable is a multiplier of the variable

Therefore;

4y = 4 × y

2) When given two numbers or variables in a mathematical expression that are separated by parenthesis, then it is an indication that the two numbers are meant to be multiplied

Therefore;

(4)(y) = 4 × y

3) The dot symbol, '·', placed between two numbers, a number and a variable or two variables, is a representation of multiplication of the two quantities

Therefore;

4·y = 4 × y

However, multiplication, and addition are different mathematical operations that produce different results when applied;

Therefore;

4 + y ≠ 4 × y.

Answer:

$12.75

Step-by-step explanation:

Do $71.75 - $8.00. Next divide that by 5. Here you should get the "each hour" amount.

Answer: $12.75

Step-by-step explanation:

He paid ^^ per hour - $8.00

Answer:

86 its the same thing on both sides if im wrong then 90?

Step-by-step explanation:

its c

Step-by-step explanation:

rational because when you divide both values you get 1, it's a rational number

hope it helps!

Answer:

1. What is the y-intercept? y = 4

2. What is the maximum point? 4

3. What are the x-intercepts? (write the negative one first) x = -2 and x = 2

Step-by-step explanation:

In simple terms, the y-intercept is the part (s) where the graph hits the vertical line.

The maximum point is the highest point of the graph, coincidentally the maximum point on this graph is right on the y-intercept.

In simple terms, the x-intercept is the part (s) where the graph hits the horizontal line.

Answer:

m=-37

Step-by-step explanation:

m-35=-72

m=-37

Answer: 3/5

Step-by-step explanation:

[tex]\frac{6-3}{5-0}=\boxed{\frac{3}{5}}[/tex]

Answer:

18 because

12% = money saved / total earned money * 100

Step-by-step explanation:

Answer:

it should be C. i hope this helps

Answer:

a

Step-by-step explanation:

4X2 is 8 8x2 is 16 16x2 is 32

Answer:

3,147.44828

Step-by-step explanation:

[tex] \frac{6}{87} \: of \: 45638 \\ \\ = \frac{6}{87} \times 45638 \\ \\ = 6 \times 524.574713 \\ \\ = 3,147.44828[/tex]

Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

to find perimeter

= 2(L+w)

= 2(5+13)

10+26

36

so the answer is 2×(5+13)

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

$83.74

Step-by-step explanation:

6% tax is $4.74

$79.00 + 4.74 = $83.74

Answer:

58/21 is added to -7/3 to get 3/7

Answer:

(x, y) -----> (x + 3, y - 4)

Step-by-step explanation:

3 to the right means add 3 to x.

4 down means subtract 4 from y.

(x, y) -----> (x + 3, y - 4)

Answer:

900 km/h

Step-by-step explanation:

Answer: is B  

Find the factors of c that add up to b.

Step-by-step explanation:

the answer is 2 it us the correct answer

anyone who wants to talk with me

2+2-4+10-9+1=2

Step by step:

2+2-4+10-9+1

=4-4+10-9+1

=0+10-9+1

=10-9+1

=1+1

=2

Hence proved.

To find the inverse, interchange the variables and solve for y

G^-1 (x) = square root x - 1, - square root x-1

Answer:

1/3

Step-by-step explanation:

IT EQUALS 3.33333333333 REPEATING

Answer:

The answer is 4a-12

Step-by-step explanation:

Hope this helped :>

Answer:

4a-12

Step-by-step explanation:

i hope this helps