10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value) if needed.

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:

Answer:

it's A cus i made a good grade so A is the right answer

Answer:

What you have is correct :)

Step-by-step explanation:

Answer:

1/7y and 2/7

Step-by-step explanation:

Answer:37

Step-by-step explanation:You multiply the ones that are in the parenthes

The Answer is 37, hope this helps.

Answer:

Step-by-step explanation:

82 - 17 + 53

= 188

Answer:

118

Step-by-step explanation:

Answer:

The opposite of -8 is 0 and the absolute value in 8

Step-by-step explanation:

Answer:

The opposite of -8 is 8. The absolute value of -8 is 8.

Step-by-step explanation:

Hi there!

Fractions can be equivalent to a lot other fractions...

Explanation:

43/12x2 would be 86/24 so that would be equivalent.

Let do another one..

43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.

So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.

I also added how I got the equivalent fractions just in case you don’t understand still...

Answer: B 89 degrees

Step-by-step explanation:

The triangle angle sum theorem states that the angles of a triangle sum to 180 degrees. Since we know two of the angle measures we can find the missing angle. 60 + 31 = 91 degrees.

180 - 91 = 89 degrees

Answer:

If i'm correct, the answer is (B) 89

Step-by-step explanation:

Hope this helps.

Answer:

e/g

Step-by-step explanation:

It's e/g cosine is always the adjacent side divided by the hypotenuse

Step-by-step explanation:

Probability of Grey ball = 2/7 or 0.285. It is closer to 0

Probability of White marble = 1/7 or 0.142. It is closer to 0

Probability of Black marble = 4/7 or 0.571. It is closer to 1

Answer: 120

Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D

Answer:

In this example, if you buy an item at $18.99 with 25% discount, you will pay 18.99 - 4.7475 = 14.24 dollars.

Step-by-step explanation:

Answer:

step 2 is the answer. when you start the question it's already in pemdas order. 48÷6 equals 8 then multiply it by the other 8 then you can add that quotient to the 10 which is 74 then subtract it by 7 and you get 67. step 2 goes the wrong way and ads the 8 with the 10 before multiplying the 8 by the 8 making everything go in wrong turns.

Step-by-step explanation:

10x-40+15=-15

10x=-15-15+40

10x=10

x=1

Answer is 1

Answer:

x ≥-4

Step-by-step explanation:

-7x+13 ≥41

-7x ≥28 (subtraction property of equality on both sides-subtract 13)

x ≥-4 (division property of equality on both sides-divide by -7)

Answer:

3x^2+11x-20

Step-by-step explanation:

step 1 3x(x+5)-4(x+5)

step 2 3x(x+5)-4(x+5)= 3x^2+15-4(x+5)

step 3 3x^2+15x-4x+20

Answer:

It is not correct, but very, very close, so great job!!

Step-by-step explanation:

When doing graphing of this sort, I always use Desmos to check my answers, so just get the website and go to the graphing calculator, type in the function, and you should get your graph.

The only thing you missed was that the other two points are (-3,-1) and (3,-1), rather than 3 and -3.

Answer:

11

Step-by-step explanation:

Given that :

Number of adults = 24

Number of children = 64

Number of people per van = 8

Number of vans required :

Total number / number per van

(64 + 24). / 8

= 88 / 8

= 11 vans

Answer:

m EAD = 56

m EDA = 35

x = 4

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.

2x + 3 = 11

2x = 8

x = 4

Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35

Answer:

It is A

Step-by-step explanation:

I got it wrong because of the other guy and I got to see the answer.

Answer:

6

Step-by-step explanation:

Answer:

g(x) = |x + 4| - 2

I recommend next time you try substituting the x-values from points the line meets into each function until g(x) matches the y-value. For example, the line/function passes through the point (1, 3).  Substitute the x-value: 1 into the function where it says x. That would give you 3 = |1 + 4| - 2. (If you're wondering where I got 3 from g(x) is basically the same as y. Simplify the values in the "||" first. You should then get 3 = 5 - 2. Simplify that and you get 3 = 3 which means g(x) = |x + 4| - 2 is the correct answer. If you were to get anything else other than 3 such as "3 = 4", it would not be correct.

Answer:

A

Step-by-step explanation:

100 on my unit review