It takes the dwarf planet Pluto 247.68 years to revolve once around the sun. What is this number rounded to the nearest whole number of years?

Answer:

Prob (Arrive before 7.30) =  14 / 25 ; Prob (Arrive after 7.30) = 11 / 25

Step-by-step explanation:

Prob (Arrive before 7.30) = No. of days before 7.30 arrival / Total work days

= 28 / 50  = 14 / 25

Prob (Arrive after 7.30) = No. of days after 7.30 arrival / Total work days

= (50 - 28) / 50 = 22 / 50 = 11 / 25

or , 1 - Prob (Arrive before 7.30) = 1 - 14/25 = (25 - 11) / 25 = 11/ 25

Answer:

50.24

Step-by-step explanation:

Area = pi*r^2

r = diameter/2

r = 4

Area = pi*4^2

Area = 3.14*16

Area = 50.24

Answer:

Step-by-step explanation:

The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.

Here, with the circle diameter being 8, we figure the radius to be half that, or 4.

Then the area of this circle is A = (3.14)(4 in)², or

                                                 A  =  50.24 in²

Answer:

(1.)6×10-4=56 (2.) 3×10-5=25

Answer:2 x 10^9

Step-by-step explanation:

Answer:

so its D

Step-by-step explanation:

a is wrong becuase it does have 6

b is wrong becuase you make into 6 triangles

c is wrong becuase it does add up to 180 degrees

Answer:

8 meters

Step-by-step explanation:

4x2=8

Answer:

$72 profit

Step-by-step explanation:

Answer:

$72 Profit made

Step-by-step explanation:

$48/4 = 12

12 times 5 = 60 oranges

60 times 2 = $120

$120 - $48 = $72

Answer:

Step-by-step explanation:

Cathy worked 4 hours.

4 hours = 4 * 60 = 240 minutes

She worked an additional 15 minutes which brings her total up to 255.

Doug worked 1 minute longer than Cathy.

Answer:

a.) Doug worked more. b.)The difference is one minute.

Step-by-step explanation:

CAN BE DONE DIFFERENTLY

Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.

60

x4

240

Now adding the 15 it'll be 255.

DOUG WORKED MORE.

DIFFERENCE IS 1 MINUTE.

Answer:

C. 100 1/4

Step-by-step explanation:

Just finished the test

Based on the information given in the table, the price of the XYZ bond on the previous day was $100 and three-fourths is 100Three-fourths. The correct option is b.

A stock, also known as equity, is a financial instrument that represents ownership of a portion of the issuing corporation.

As per the information given in the table, the price of the XYZ bond on the previous day was $100 and three-fourths.

This is because the table indicates that the current yield for the XYZ bond is 8.4, the volume is 17, the close price is 100 and one-half, and the net change is + one-fourth.

To calculate the previous day's price, we can use the following formula:

Previous day's price = Today's price - Net change

Plugging in the values from the table, we get:

Previous day's price = 100 and one-half - one-fourth

= 100 and three-fourths

Therefore, the answer is b. 100Three-fourths.

For more details regarding stocks, visit:

https://brainly.com/question/29992015

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Answer: it’s 10.0

Step-by-step explanation:

Answer:

17.2 meters

Step-by-step explanation:

This is a right triangle problem

a^2 + b^2 = c^2

The 1st triangle:

a^2 + 10.1^2 = 12.2^2

a^2 = 12.2^2 - 10.1^2

a^2 = 46.83

a = 6.8432448444

The 2nd triangle

a^2 + 6.4^2 = 12.2^2

a^2 = 12.2^2 - 6.4^2

a^2 = 107.88

a = 10.3865297381

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

Width = 6.8432448444 + 10.3865297381

Width = 17.2297745825

Width ≈ 17.2 meters

Answer:

I think red

Step-by-step explanation:

SRY i I am wrong

Answer:

(-4,0)

Step-by-step explanation:

coordinate (x,y)

x=-4

y=0

Answer: (-4,0)

Step-by-step explanation: so its set up as (x,y) for coordinating points!

Answer:

$7120 or $7565 is the minimum average premium they should charge per policy holder

Step-by-step explanation:

Small business can charge 80-85% of the total value of the policy as premium.

In this case the spending per policy holder is $8900

Hence, per policy holder has to pay a premium of

80-85% of $8900

$7120 or $7565 is the minimum average premium they should charge per policy holder

Answer:

48 pounds is correct

Step-by-step explanation:

In order to find the amount of food for 60 days, we must find how much the cat eats in 1 day.

We are given the ratio: 4 pounds, 5 days

To find the pounds for 1 day, we must divide 4 by 5, which will give us 4/5 or 0.8.

Now, to find the number of pounds for 60 days, we have to multiply by the amount of food eaten in one day, which is 4/5.

4/5 times 60 is 48.

Therefore, 48 pounds of food will be eaten in 60 days.

Answer:

The correct answer is C. 54.

Step-by-step explanation:

Since Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France, and Danielle's uncle sends her 2 more cards each month as he travels for business, and the table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has.

Number of Months Danielle

Has Been Collecting Cards Number of Cards in the

Collection

2 10

4 14

8 22

24?

To determine how many cards Danielle can expect to have after 24 months, the following calculation must be performed:

(24 x 2) + 6 = X

48 + 6 = X

54 = X

Therefore, after 24 months Danielle will have 54 cards.

Answer:

Because it only has one answer and there are no variety of answers.

hope this helps

Answer:

Third option. -2

Step-by-step explanation:

the y change is -2

the x change is +1

slope is change in y/ change in x. So it would be -2/1 or -2

Answer:

Step-by-step explanation:

25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=

π = 490.87 x 4= 1963.48

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

Answer:

Good question could someone answer it. I would like to know also

(a) y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex]

(b) y = 2x + 3

(a) The equation of a line given by points M(x₁, y₁) and N(x₂, y₂) is given by:

y - y₁ = m(x - x₁)            -------------------(i)

Where;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = slope or gradient of the line  ---------------(ii)

Given points on the triangle are:

A(2,5)

B(1,-2)

C(-5,1)

To find the equation of line BC, we use the formulas in equations (i) and (ii) where the points of the line are B(1,-2) and C(-5,1) and;

x₁ = 1

y₁ = -2

x₂ = -5

y₂ = 1

==> First get the gradient using equation (ii) as follows;

m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]\frac{1 - (-2)}{-5 -1}[/tex]

m =   [tex]\frac{3}{-6}[/tex]

m = [tex]\frac{-1}{2}[/tex]

==> Now, use equation (i) to find the equation of the line as follows;

y - (-2) = [tex]\frac{-1}{2}[/tex](x - 1)

y + 2 = [tex]\frac{-1}{2}[/tex](x - 1)

Multiply both sides by 2

2(y+2) = -1 ( x - 1 )

2y + 4 = -x + 1

2y = -x + 1 - 4

2y = - x - 3

y =  [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex]

Therefore, the equation of the line is y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex]

(b) To find the perpendicular line from A to BC, note that

i. two lines are perpendicular if they meet at 90°

ii. the general equation of a line could also be written as y = mx + c where m is the slope and c is the intercept.

iii. when one line has a slope of m, then a perpendicular line to that line will have a slope of [tex]\frac{-1}{m}[/tex]

The equation of line BC is y = [tex]\frac{-1}{2}[/tex]x -  [tex]\frac{3}{2}[/tex].

This means that BC has a slope of [tex]\frac{-1}{2}[/tex]

A perpendicular line from A to BC will have a slope of 2.

Now to get the equation of this perpendicular line from A(2, 5) to BC, we use the general equation of a line given in equation (i)

where;

m = 2

x₁ = 2

y₁ = 5

Substitute these values into equation (i)

y - 5 = 2(x - 2)

Solving by simplification gives;

y - 5 = 2x - 2

y = 2x + 3

Therefore, the equation of the perpendicular line is y = 2x + 3

Answer:

1/2

Step-by-step explanation:

hope it helped u alot

Answer:

1/3 is not greater than 2/5

Step-by-step explanation:

Answer:

answer: z = 0.3

Step-by-step explanation:

1.86 ÷ 6.2 = 0.3 and 0.3 × 6.2 = 1.86 So x = 0.3 Hope that explains well!

Answer:

[tex]390ft^2\\[/tex]

Step-by-step explanation:

Ok so we have 2 (congruent) triangles and 3 rectangles.

Your main approach to this problem should be to find the area of each of the faces and adding them up to get to your final answer. Your question makes a point of including the correct unit in your answer. Since this is surface area, the unit would be [tex]ft^2[/tex]

Now let's start:

First, I am going to start with finding the area of the rectangles.

[tex]12\cdot11=132\\13\cdot11=143\\5\cdot11=55\\\\55+143+132=330[/tex]

Alright, next lets move on to the triangles.

They are both the same, if you notice. So find one and double it.

[tex]12\cdot5=60\\\frac{60}{2}=30\\30\cdot2=60[/tex]

now lets add em all

330+60

= 390 and thats your final answer, dont forget to include the unit, ft^2

Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.

Step-by-step explanation:

Answer:add all the numbers together then divide the answer by 10

Step-by-step explanation: