MATHEMATICS HIGH SCHOOL

If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units, how far from the center are the foci located?

Answers

Answer 1

Answer:

Answer:

2.365 unit far away the center are the foci located.

Step-by-step explanation:

Given : If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units.

To find : How far from the center are the foci located?

Solution :

The eccentricity of an ellipse is defined as

$e=(c)/(a)$

Where, e is the eccentricity

c is the distance from center to focus

a is the distance between focus to vertex.

We have given,

Eccentricity of an ellipse is 0.43 i.e. e=0.43

The distance between focus to vertex is the half of the length of its major axis.

i.e. $a=(11)/(2)$

Substitute in the formula,

$0.43=(c)/((11)/(2))$

$c=0.43* (11)/(2)$

$c=2.365$

Therefore, 2.365 unit far away the center are the foci located.

25

Step-by-step explanation:

Lettheunknown number bex

$40 \% * x = 10 \n (40x)/(100) = (10)/(1)$

CrossMultiply

$40x = 100 * 10 \n 40x = 1000$

Divide both sides of the equation by40

$(40x)/(40) = (1000)/(40)$

Simplify

$x = 25$

I am an array made with 40 tiles I have an odd number of rows and an even number of tiles in each of my rows the number of my rows plus the number of tiles in each of my rows equals 13 how many rows do I have .

Answers

There are 5 row and 8 tiles in each row calculated using two equation.

What are System of equation?

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given I am an array made with 40 tiles I have an odd number of rows and an even number of tiles in each of my rows the number of my rows plus the number of tiles in each of my rows equals 13

Let "r" be the number of row and "t" be the number of tiles in each row.

Since, array has total 40 tiles

Thus,

r * t = 40

Also given

r +t = 13

From comparing these equation

r = 5 or 8

Since row is odd given

thus, r = 5

and t = 8

therefore, Two equations are used to determine the five rows and eight tiles in each row.

Learn more about System of equation here:

brainly.com/question/12628931

#SPJ5

8 by 5. The odd number of rows is 5 rows and the even number of tiles is 8

in one baseball season, Peter hit twice the difference of the number of homeruns Alice hit and 6. Altogether, they hit 18 home runs. How many home runs did each player hit that season?

Answers

Peter hit 12 home runs because 18 - 6 = 12

A band leader randomly selects 2 students out of 100 band members. If you and your brother are band members, what is the probability that you are bothselected?
a. 1/2500
b. 1/9900
c. 1/4950
d. 2/100
need right now please

Answers

Answer: Hello mate!

There are 100 students, and each one has the same probability of being selected, which is 1/100

The chances that the band leader selects you is 1/100

now the chances that the band leader selects your brother is one over the total number of people in the band, but you have already been selected, so there are 99 people right now in the band, this probability is of 1/99.

The joint probability of both events is the product of the probabilities, this is:

P = (1/100)*(1/99) = 1/9900

But there is also the chance where your brother is picked first and you second, which also has a probability of 1/9900.

Then the total probability of you and your brother to being selected is:

P = 1/9900 + 1/9900 = 2/9900 = 1/4950

te right option is option C.

That probability is 1/4950 .

(Geometry), homework please help

Answers

4.That first one sounds familiar; I think I did it yesterday.

The sides don't matter (except that they're equal) so the base angle b satisfies

b + b + 38 = 180

2b = 142

b = 71

Choice a

42 + 42 + v = 180

v = 180 - 84 = 96

choice d

6. That's three acute angles, an acute triangle

7. We need to satisfy the triangle inequality which means the sum of the two smaller sides needs to be bigger than the largest

10+15>24 so choice b

SRT = RTS = 180 - STU

3x - 50 = 180 - 7x

10 x = 230

x = 23

choice a

Round the decimal number to the nearest hundredth 5.6192

Answers

the 1 is the digit in te hundredths place, so you need to look at the digit directly to the right of that, the 9. When rounding, if the digit to the right pf the place you're rounding is 0-4, the number you're rounding stays the same, and all digits to the right become zeros. If that digit is 5-9, the digit you're rounding goes up to the next number, and all digits to the right become zeros. So, because the digit to the right of the hundredths place is a 9, that tells you that the 1 has to go up to the next number in counting order, so the number 5.6192 becomes 5.62 when rounded to the hundredths place.

Other Questions

What is the vertex of the quadratic function f(x)=(x-6)(x+2)

Rewrite the rational exponent as a radical expression 2 and 7 over 8 and 2 and 1 over 4

What is the next two numbers for the pattern 0.006, 0.06, 0.6, and 6?

The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 202 feet. Find the length of the garden.

If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units, how far from the center are the foci located?

Answers

Related Questions

Answers

25

Answers

What are System of equation?

Answers

Answers

Answers

Answers