Mars has an angular size of approximately 8. 0 arcseconds as is 175,000,000 km away. Use S = r x a to figure out the diameter of Mars

Answers

Answer 1

The diameter of Mars is 6825 kilometers.

First we quantify angular size a = 8. 0 arcseconds in radians.

a = ( 8/ 3600) × (π/180)

a = 0.000039 radians

also, the distance from Earth to Mars in kilometres is 175,000,000 km

So, r = 175,000,000 km

We use the formula S = r x a to find the diameter of Mars

Substitute r = 175,000,000 and a = 0.000039 in above formula

S = 175,000,000 × 0.000039

S = 6825 km

Therefore, the diameter is 6825 km

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Related Questions

What is the segment partition formula?

Answers

The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints of the segment and the ratio of the desired point from the first endpoint.

The formula is:

Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1))

Where x1 and y1 are the coordinates of the first endpoint, x2 and y2 are the coordinates of the second endpoint, and r is the ratio of the desired point from the first endpoint.

The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints and the ratio of the desired point from the first endpoint. The formula is given in the form of Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1)).

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Help me pleaseeeeeeeee

Answers

71

Step-by-step explanation:

that it is not 0 because i am a teacher mrs.brainly so there is the thing

Find the 35th term for the sequence: 12, 9.5, 7, 4.5...

Answers

Answer:

-73

Step-by-step explanation:

So to begin you must find where you start on a graph. To do this you can go backwards from your first number and in this situation it would be 14.5 because the slope is -2.5x. I will use y as the answer.

y=-2.5x+14.5

From here you plug in how many terms are neeeded for the correct answer. In this situation there is 35 terms needed.

y=-2.5(35)+14.5

Solve this equation to get your answer.

y=-73

Answer:

The 35th term is - 73.

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

Given sequence:

12, 9.5, 7, 4.5...

This is an AP with the common difference of:

d = 4.5 - 7 = 7 - 9.5 = 9.5 - 12 = - 2.5

The first term is a = 12.

Use the nth term equation to find the 35th term:

aₙ = a + (n - 1)da₃₅ = 12 + (35 - 1)(- 2.5) = 12 - 34*2.5 = 12 - 85 = - 73

acute ? right ? or obtuse ! Thank youu

Answers

Answer:

obtuse

Step-by-step explanation:

it's obvious if it was acute it would be tiny

Eric got home from work at 8:00 pm. He was traveling for 1 hour and 15 minutes. At what time did he start traveling home from work?

Answers

9:15 i think that’s the answer

Answer:

the answer is 6:45pm brain list me

Find the Vertex when x=-2

options:
(-2,-10)
(-2,6)
(-2,-6)
(-2,-34)

Answers

(-2, -10) just plug it in and you’ll get your vertex when you already know -2

Answer:

(--2, 6)

Step-by-step explanation:

Plugging -2 into the equation, you get -2(-2)^2-4(-2)-10 which is 6. This makes the coordinate (-2,6)


5-Which of the equłtions represents the circle below?
A) x2 + y² = 12
B) x2 + y2 = 36
o +vy=v12
D) Vx+vy=v6

Answers

Answer:

The equator the circle is;

x^2 + y^2 = 36

Step-by-step explanation:

The general equation of a circle is ;

(x-a)^2 + (y-b)^2 = r^2

(a,b) is the center of the circle which is the origin here

The radius is half the distance from edge to edge, passing through the center either in the vertical or horizontal direction

From the center to the edge of the positive x axis bounding the circle, we have 6 units

This would be the same for the left too

So, the diameter of the circle would be 6 + 6 = 12 units

The radius of the circle is half of this which would be 12/2 = 6 units

thus, we have the equation of the circle as;

(x-0)^2 + (y-0)^2 = 6^2

x^2 + y^2 = 36

Jeremy Earned $33 for four hours of work .how much would he earn for seven hours of work at the same rate

Answers

33/4= $8.25 an hour
8.25 x 7= 57.75

Jeremy would earn $55.75 if he works for seven hours

In a survey 1500 people , 775 of them like nepal idol , 975 like comedy chapion and 450 people like both the showes how many people didnot like both the show​

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

There will be 800 people who did not like either show.

What is a survey?

To find out how many people did not like either show, we need to subtract the number of people who liked both shows from the total number of people surveyed.

Let A be the number of people who liked Nepal Idol, B be the number of people who liked Comedy Champion, and C be the number of people who liked both shows.

According to the problem, we have:

A = 775

B = 975

C = 450

To find the number of people who did not like either show, we can use the formula:

Total number surveyed - (A + B - C)

Substituting the values given in the problem, we get:

1500 - (775 + 975 - 450) = 800

Therefore, 800 people did not like either show.

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9. A triangle with a height of 12 inches has an area of 36 square inches. How long is the base of the triangle?







If anyone knows this please tell me this is due tommorow!​

Answers

Area = 1/2(base)(height)

36 = 1/2(base)(12)
36 = 6(base)
6 = base

The base is 6 inches long.

Answer:

Step-by-step explanation

The triangle base would be 6

What is the product of 2x 3y )( 2x 3y )? *?

Answers

The product of (2x-3y)(2x+3y) is 4x^2-9y^2.

the solution of the question is as follows,

Product = (2x-3y)(2x+3y)

Product =2x(2x+3y)-3y(2x+3y)

Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)

{using distributive property of multiplication}

Product = 4x^2 +6xy - 6xy -9y^2

solving 6xy-6xy=0,

Product = 4x^2 - 9y^2

4x^2-9y^2 is the product of (2x-3y)(2x+3y).

distributive property of multiplication

This property states that  multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.

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f(x)=3^√x-1
Find f(27) and f(-343)

need to find cube root

Answers

On solving the provided question, we can say that - the value of the cube root is 19683 =  27

what is cube root?

In mathematics, y3 = x since the cube root of a number x equals a number y. Each non-zero real integer has precisely one real cube root, one set of complex conjugate cube roots, and three different complex cube roots. When a number is multiplied three times, the result is the cube root of that number. Three cube roots, the final cube root, is the symbol for the cube root. The opposite of cubing an integer is finding the cube root of that number. Prime factorization is a fairly straightforward technique that may be used to get a number's cube root. The sign stands for a cube root.

here,

we have f(27)

cube will be [tex]( 27 )^3[/tex] = 19683

and f(-343) = -7

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In the figure given alongside: O is the centre of circle. If
To
OP AB, write the relation between AP and AB.
plz help​

Answers

Answer:

[tex]AP = \frac{1}{2} AB \\ AB = 2AP[/tex]

raph of the function f(x) = (x+2)(x+6) is shown
-4 2
4
2+
N
-2
-6
2
4 6
X
What is true about the domain and range of the function?
O The domain is all real numbers, and the range is all
real numbers greater than or equal to -4.
O The domain is all real numbers greater than or equal
to
-4, and the range is all real numbers.
O The domain is all real numbers such that -6 ≤x≤-2,
and the range is all real numbers greater than or equal
to-4.
O The domain is all real numbers greater than or equal
to
-4, and the range is all real numbers such that -6 sx
≤-2.

Answers

The domain of a function is the set of all input values (x-values) for which the function produces a valid output (y-value). In this case, the function f(x) = (x+2)(x+6) is defined for all real numbers, so the domain is all real numbers.

What do a function example's range and domain mean?

A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...

The range of a function is the set of all possible output values (y-values) produced by the function. The function f(x) = (x+2)(x+6) is a polynomial, and all polynomials of the form (ax^2 + bx + c) with real coefficients (a,b,c) have range is all real numbers. The range of the function f(x) = (x+2)(x+6) is also all real numbers.

So the answer is

The domain is all real numbers, and the range is all

real numbers.

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What do 7th graders learn in math?

Answers

In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, equation and statistics.

In 7th grade math, students typically learn basic algebraic principles, including linear equations, variables, and functions. They also learn about ratios, proportions, and percents. Geometry is typically introduced, with topics such as angles, lines, triangles, and circles. Additionally, students may be taught more advanced topics such as graphing, probability, and statistics.In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, and statistics.

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What is the volume of the cone in the diagram?

Answers

Answer:










Step-by-step explanation:I need to see the picture

Answer:

A

Step-by-step explanation:

just did it on edmentum .

Simplifying algebraic expressions

Answers

The simplified form of the algebraic expression [tex]2c-7c[/tex] is [tex]-15[/tex]

The given algebraic expression is [tex]2c-7c[/tex] and we need to use [tex]c=3[/tex]

Let's substitute the value of [tex]c[/tex] in the given algebraic expression, that is

                      [tex]=2(3)-7(3)\\=6-21\\=-15[/tex]

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Answer:

-15

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

Given expression

2c - 7c

Simplify it:

2c - 7c = (2 - 7)c = - 5c

Find its value by plugging in the value of c:

- 5c = - 5*3 = - 15

simplify when x=4 3x^3+3

Answers

Answer:

The value is 195 When x = 4 in 3x³ + 3.

Step-by-step explanation:

3x³ + 3

Insert 4 for x.

3(4)³ + 3

Cube the 4.

3(64) + 3

Multiply 3 by 64.

192 + 3

Add.

195

Find the measures of all of the missing angles. FAST!!!

Answers

Answer:

angle BCD=58 degree

angle ACD=32 degree

angle DAC=58 degree

angle CDB=90 degree

Step-by-step explanation:

Hope it helps you!!

*15 points* will give brainliest

Yazmin is collecting data for her environmental science class. She catalogued all the trees in an acre of the nature preserve. She found 8 oak trees, 4 pecan tree, 2 crepe myrtle trees, and 2 magnolia trees. If the nature preserve covers 280 acres, how many pecan trees are likely to be in the park?​

Answers

Answer:

maybe 70

Step-by-step explanation:

Fwam went shopping for a new phone. Sales tax where he lives is 9%. The price of the phone is $33. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

$35.97

Step-by-step explanation:

33 × .09 = 2.97

33 + 2.97 = $ 35.97

Which point is in Quadrant III?

Answers

Answer:

B

Step-by-step explanation:

B is in Quadrant III.

B is the answer.

The point is Quadrant 3 is (-2,-3)

On Thursday, a local hamburger shop sold a combined total of 429 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Thursday?
hamburgers

Answers

Let H be the number of hamburgers sold and C be the number of cheeseburgers sold.

The total number of hamburgers and cheeseburgers sold is given by the equation: H + C = 429

The number of cheeseburgers sold is given by the equation: C = 2H

Substituting the second equation into the first equation, we get: H + 2H = 429

Combining like terms, we get: 3H = 429

Dividing both sides by 3, we get: H = 143

On Thursday, 143 hamburgers were sold.

How many solutions does 5x 2 7x 4 0 have?

Answers

The given equation gives two solution. We can find solution by using quadratic formula or discriminant.

How do you find the number of solutions?

A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R. So a and b ≠ 0. When we consider a system of linear equations we can find the number of solutions by comparing the coefficients of the variables of the equations.

How do you find how many solutions are in a quadratic equation?

if the discriminant is positive. Then the quadratic equation has two solutions.

if the discriminant is equal. Then the quadratic equation has one solution.

if the discriminant is negative. Then the quadratic equation has no solution.

Here we have

a=5    b=-7   c=4

Disc= [tex]b^2[/tex]-4ac

Disc= [tex](-7)^2[/tex]-4(5)(4)

Disc= 49+80

      =129

Disc >0    it has two solutions.

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Complete question is: How many solutions are there for 5x^2+7x-4=0?

a) 0

b) 1

c) 2

d) 3

Select the correct answer from each drop-down menu.
A certain distribution has a mean value of 100 and a standard distribution of 15,
Assuming the values are distributed normally, 95% of values will fall between
and

Answers

Answer:

70, 130

Step-by-step explanation:

Just took the Mastery test on PLATO and this answer was correct.

CAN SOMEONE PLZ HELP ME!!!​

Answers

Answer:

hope this helps

Step-by-step explanation:

Strawberry = 14

blueberry = 14

cherry = 7

chocolate = 7

apple = 14

Strawberry: 14
Blueberry: 14
Apple: 14
Cherry: 7
Chocolate: 7

What will be the coefficient of XYZ in the product of 2xy 3zx and Y 2z )?

Answers

The coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.

The formula for coefficient is C = a*b, where a and b are the coefficients of the terms being multiplied.

In the given example, the coefficients for the terms being multiplied are 2 for 2xy, 3 for 3zx, and 0 for Y 2z. Since 0 multiplied by any number is 0, the coefficient of XYZ in the product is 0.

Mathematically, this can be expressed as:

C = 2*3*0 = 0

Therefore, the coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.

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solve the inequality and explain how

Answers

Answer:

  B.  (see attached)

Step-by-step explanation:

You want the solution and graph of the inequality |x+3| > 2.

Solution

The inequality resolves to two inequalities with different domain definitions:

  |x +3| > 2

When the argument is negative, (x+3) < 0, this is ...

  -(x +3) > 2

  -x -3 > 2 . . . . . . eliminate parentheses

  x +3 < -2 . . . . . . multiply by -1

  x < -5 . . . . . . . . . subtract 3; consistent with the domain definition

When the argument is positive, (x+3) > 0, this is ...

  x +3 > 2

  x > -1 . . . . . . . . subtract 3

  -1 < x . . . . . . . . same thing using the < symbol

These differing solution sets do not overlap, but elements of either set are solutions to the inequality. The appropriate conjunction is "OR":

  solution: x < -5 or -1 < x

The graph is attached.

__

Additional comment

We like to use the < or ≤ symbols when expressing the solution to an inequality. That way, the relation of the variable to the boundary value is the same as its relation on a number line. Solution values are left of -5 or right of -1:

  x < -5  or  -1 < x

It helps provide a check that the graph is properly drawn.

The inequality can be rewritten as ...

  |x -(-3)| > 2

which can be interpreted as saying the positive distance from x to -3 is more than 2. This tells you the graph will have two disjoint branches, and the appropriate conjunction is OR.

If the problem were different, and the inequality were ...

  |x -(-3)| < 2

it would be telling you the solution values have a distance less than 2 from -3. They will be in one continuous band from -5 to -1, so the appropriate conjunction is AND. The solution in this case is usually written as a compound inequality with no conjunction: -5 < x < -1. (Note the use of < symbols puts the variable value in the middle, between the boundary values, as in graph D.)

Can anyone please help with this?

Answers

Answer:

$200

Step-by-step explanation:

The y-intercept is where the line meets the y-axis (vertical).  The line on the graph appears to go through the point (0, 200).


Help!! find the inequality represented by the graph

Answers

Answer:

y < (3/4)x

Step-by-step explanation:

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