A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.

Answers

Answer 1

Answer:

radius: 1460 micircumference: 9174 mi

Step-by-step explanation:

If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...

  82.6°/360° = 413/1800 ≈ 0.229444...(repeating)

The relation between the given distance and the circumference is ...

  0.294444C = 2105 mi

  C = 2105 mi/0.294444 ≈ 9174 mi

The radius of the spherical planet is this divided by 2π:

  r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi

The radius of the planet is about 1460 miles; the circumference is about 9174 miles.


Related Questions

12
rectia
14. Ne
10.) Lars has a current annual salary of $38,650.
If he gets a raise of $3,280, what percent is
the raise of his current annual salary? Round
to the nearest whole percent.
(1) 6%
(2) 7%
2 %
8%
(4) 9%
10%

Answers

Answer:

3,280/38650 x 100% = 8%

Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?

Answers

The number of hours Jeremy spent in the air is 16 hours.

How to find the number of hours he spend in the air?

He flew 8 times last week for work.

Each flight was two hours long.

Therefore, each flight, he spends two hours in the air.

Now he took this two hours flight for 8 times.

Therefore, the number of hours he spend in the air can be calculated as follows:

number of hours spent in the air = 8 × 2

number of hours spent in the air = 16 hours

Therefore, he spent 16 hours in the air.

learn more on hours here: https://brainly.com/question/14093155

#SPJ1

Find the slope of the line
A -3
B 3
C -2
D 2​

Answers

Y=-2x-10
So it would be -2

The table shows the relationship between the number of cups of cereal in the number of cups of raisins in a cereal bar recipe jake potter and equivalent ratio on the coordinate grid below which of these explains why the point jake plotted is incorrect

Answers

Answer:

c i think

Step-by-step explanation:

Will give brainliest if helpful and correct

Answers

Answer:

(-2, -1.5)

Step-by-step explanation:

hope this helps!

With a coupon, you can get a pair of shoes that normally costs $84 for only $71.40. What
percentage was the discount?

Answers

Answer:

85%

Step-by-step explanation:

71.40/84=0.85. multiply the decimal by 100 to get the percentage

A farmer had 21 goats all but 9 died how many survive ?

Answers

Answer:

9

Step-by-step explanation:

All but 9

Answer:

12

Step-by-step explanation:

I used a calculator I hhhhhhj

A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 33, where x represents the smaller number. Plug in the numbers from the set {3, 5, 7, 9} to find the value of x.
The value of x that holds true for the equation is?
So, the smaller number is?
and the larger number is?

Answers

Step-by-step explanation:

the numbers : x, y

x = 5 + 3y

x + y = 33

when using the first equation in the second we get the mentioned equation (it does not matter which of the 2 numbers is x and which is y, it can all be vice versa, as you can see) :

5 + 3y + y = 33

5 + 4y = 33

4y = 28

y = 7

so, when you try the numbers above in the unsimplified equation, you will also find that 7 is the right answer.

the other number is based on my equations (with the reversed names) :

x = 5 + 3y = 5 + 3×7 = 5 + 21 = 26

the smaller number is 7.

the larger number is 26.

82.1 / 7.8= What is the answer yall

Answers

Answer:

10.5

Step-by-step explanation:

Hope I helped please mark brainliest if I did and thanks! <3

- C C) C.P = Rs 20, profit Rs 2, S
.P. -​

Answers

Answer:

[tex]cp = p + sp \\ \\ cp = 2 + 20 \\ \\ cp = 22[/tex]

solve using quadratic formula
6x^2-x=2

Answers

[tex]6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]

[tex]x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}[/tex]

Sierra is getting a loan to purchase a car, but she has a few options for loan
comparing the cost of each loan to determine which loan will cost the least in terms of interest
paid. (Interest is the fee paid for the use of borrowed money, and it is expressed as a
percentage of the amount borrowed multiplied by the amount of time the borrower takes to
repay the loan.) All of the loan offers are for $10,000, and include an upfront fee of $200. They
are all simple interest loans (as opposed to compound interest loans). Loan A is to be paid back
over five years with an annual interest rate of 6 percent Loan B is to be paid back over four
years with an annual interest rate of 4 percent. Loan C is to be paid back over three years with
an interest rate of 5 percent. How Sierra figure out which loan will require the lowest interest
payments?

Answers

Answer:What would be the interest cost(simple interest) for a $3000 loans with a 8% rate for nine months of a years? [Simple interest= Principal Rate Time. In this case, time is 9/12(for 0.75 of a year).

Step-by-step explanation: The cost to borrow the money, expressed as a percentage of the loan. After you enter the details, the auto loan payment calculator automatically ...A finance charge is the dollar amount that the loan will cost you. Lenders generally charge what is known as simple interest. The formula to calculate ...

Calculate: 7×9-22+31=

Answers

Answer:

72

please mark brainlest

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

7x9=63

63-22=41

41+31= 72

Hope this helps

Hello, Sorry To bother you nice ppl but more questions awaits u :)

Answers

Answer:

B. -2x + 10 is the correct answer

Answer:

(C) -2x + 10

Step-by-step explanation:

This is going to be multiplication from the first number outside the "Bubble"

                              -2 multiplied by x = -2x ,

why ? because a negative times a positive makes a negative    

                      Next is -2 multiplied by -5 = 10

why ? because a negative times a negative = equals a positive !

now .. you add up all of the sums together to make an equation ..

                            Answer would be -2x+10

one of the acute angles of a right angle triangle is 35 degree find the measure of the acute angle.​

Answers

Answer:

55°

Step-by-step explanation:

One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°

125°+ Unknown acute angle = 180°

Unknown acute angle = 180°-125°

Unknown acute angle =55°

Answer:

55°

Step-by-step explanation:

One triangle 180° 90+35 =125-180=55°

Where , the distance between the points ( a, c) and ( b, c) is ( ) units

Answers

Answer:

I would love to help but there is no upload. Would you mind creating a new question with a picture or data of the graph

Step-by-step explanation:

solution set of (3x+7)^2+5=(7x-9)^2x+5

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(3*x+7)^2+5-((7*x-9)^2*x+5)=0

Step by step solution :

STEP1:

Equation at the end of step 1

(((3x+7)2)+5)-(x•(7x-9)2+5) = 0

STEP2:

Checking for a perfect cube

2.1 -49x3+135x2-39x+49 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: -49x3+135x2-39x+49

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -39x+49

Group 2: -49x3+135x2

Pull out from each group separately :

Group 1: (-39x+49) • (1) = (39x-49) • (-1)

Group 2: (49x-135) • (-x2)

Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.

The factor(s) are:

of the Leading Coefficient : 1,7 ,49

of the Trailing Constant : 1 ,7 ,49

Let us test ....

Equation at the end of step

2

:

-49x3 + 135x2 - 39x + 49 = 0

STEP

3

:

Cubic Equations:

3.1 Solve -49x3+135x2-39x+49 = 0

Future releases of Tiger-Algebra will solve equations of the third degree directly.

Meanwhile we will use the Bisection method to approximate one real solution.

Approximating a root using the Bisection Method :

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is F(x) = -49x3 + 135x2 - 39x + 49

At x= 3.00 F(x) is equal to -176.00

At x= 2.00 F(x) is equal to 119.00

Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero

Procedure :

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

(6) Loop back to Step (3)

(7) Done!! The approximation found is Middle

Next Middle will get us close enough to zero:

F( 2.596896529 ) is 0.000000414

The desired approximation of the solution is:

x ≓ 2.596896529

Note, ≓ is the approximation symbol

One solution was found :

x ≓ 2.596896529

Dan received 64 dollars for his birthday. He went to a sporting goods store
and bought a baseball glove, baseball, and bat. He had 31 dollars left over,
how much did he spent on the baseball gear?

Answers

Answer:

the answer is 33 bucks because you have subtract the 64 -31 =33

He started with a total of $64 and $31 remained after his expenses.

We can create an Algebraic equation to represent the scenario. The variable “x” is equal to how much of his birthday money he spent.

64-x=31 [Equation]

64-64-x=31-64 [Subtract 64 from both sides to cancel it out and isolate x]

-x=-33 [Simplification after subtraction]

-x/-1=-33/-1 [Divide by -1 on both sides to cancel it out and solve for x]

x=33 [Defined Variable]

*Recall that “x” is equal to his expenses.

Therefore, Dan spent $33 of his $64.

We can check this because 64-33=31.

Please give Brainliest

Rational numbers on the number line

Answers

Answers:

A = -5/4B = -0.5C = 2

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

Explanation:

The fraction -5/4 converts to -1.25 after using your calculator or long division. It represents the mixed number -1 & 1/4. So we go 1 full unit to the left to arrive at -1, then we move another 1/4 unit to the left to get to point A. That's why point A is located at -5/4 = -1.25 = -1 & 1/4.

Point B is directly midway between 0 and -1, so it must be at -0.5; you can use the midpoint formula.

Pre college need help

Answers

Answer:

f(-8) = 169

Step-by-step explanation:

27) Function.

reasoning: it only touches the curve/line once. that’s a trick my old teachers taught me.

28) f(-8) =169

I hoped I helped. #28 is confusing so I sincerely apologize if I’m incorrect.

If g(x)=x^2-5x+8, find g(8)

Answers

Answer:

Option A) 32

Step-by-step explanation:

Given the quadratic function, g(x) = x²- 5x + 8:

In order to evaluate and determine the output value given g(8), substitute the input value into the function:

g(x) = x²- 5x + 8

g(8) = (8)²- 5(8) + 8

g(8) = 64 - 40 + 8

g(8) = 32

Therefore, the correct answer is Option A) 32.

x/-5+6 is greater than or equal to 2

Answers

Answer:

[tex]x\geq 2[/tex]

Step-by-step explanation:

Write out the problem

[tex]\frac{x}{-5+6} \geq 2[/tex]

Simplifiy -5 + 6 = 1

[tex]\frac{x}{1} \geq 2[/tex]

Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so

[tex]\frac{x}{1} =x[/tex]

[tex]x\geq 2[/tex]

The enrollment in summer stuff camp went from 10 people to 28 in 5 days. What was the percent of the increase in enrollment

Answers

Answer:

140%

Step-by-step explanation:

28-10 = 14 person enrolled

14/10 = 140%

A color printer prints 5 pages in 9 minutes.
How many minutes does it take per page?

PLS HELPPPPPP

Answers

Answer: 1.8

Step-by-step explanation: Divide 9/5

310.11 divided by 2????

Answers

Answer:

155.055

Step-by-step explanation:

hope this helps

Answer:

155.055

Step-by-step explanation:

Which lines are parallel? Why?
A) No lines are parallel
B) a || b by the same side interior angles
C) c || d by the same side interior angles
D) c || d by the converse of the same side interior angles
E) a || b by the converse of the same side interior angles

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The correct Choice is ~ D

a || b by the converse of the same side interior angles

(x-3)(2x+1) Can someone help me on this please

Answers

2x^2-5x-3

This is the answer I believe, I apologize if it’s incorrect

Help on this fast?? Thank you

Answers

The answer is 17.5 divide 70 by 4 that’s what u get them multiples 17.5 by 4 to check your answer

Answer:

The answer is 17.5 dollars an hour, if you were to divide 70 by 4 that is what you would get as a result.  

Step-by-step explanation:

Do y’all know the answer ….???

Answers

Answer:

$500

Step-by-step explanation:

John earns $100 per night.

He works 5 nights a week.

Therefore his weekly gross wage = $100 × 5

= $500

Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?

Answers

28 units i think. Since they are similar
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