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lilavasa [31]
2 years ago
6

In the ellipse, if c=6cm, and b=8cm, what is the length of the major axis?

Mathematics
1 answer:
kondor19780726 [428]2 years ago
4 0

Answer:

Option B). 10 cm

Step-by-step explanation:

Distance between center and the focus of an ellipse is given by the formula,

c² = a² - b²

where, a = length of the major axis

b = length of the minor axis

and c = distance between focus and center

If c = 6 cm, b = 8 cm,

6² = a² - 8²

a² = 6² + 8²

a² = 36 + 64

a² = 100

a = 10 cm

Therefore, length of the major axis is 10 cm.

Option (B) is the answer.

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Dan's grandmother gave him $30 for his birthday. He decides to put $20 in a box for saving. Every week his parents give him $5 f
kozerog [31]

Answer:

y=4\cdot{x}+20

Step-by-step explanation:

Let the regresssion line be linear because of a constant amount of money coming in. Let y be the total amount of money in the box and x the weeks of adding to the box:

y=m\cdot{x}+c

We know that he puts $20 in the box from his birthday and $4 every week for x weeks. Therefore the total amount of money will be:

y=4\cdot{x}+20

7 0
3 years ago
You and your friend each construct triangles with the angle measures 15 degrees, 125 degrees, and 40 degrees. Will both triangle
xxTIMURxx [149]

The two triangles will be similar (same shape, and each side of one triangle the same multiple of the corresponding side of the other triangle), but not necessarily the same size.

The key word here is "similar;" be sure you understand what that means in trig.


3 0
3 years ago
How many fractions are equivalent to 4/5
Sidana [21]

There are an infinite number of them.

-- Think of any number.

-- Multiply  4  by your number.  Write it on top.

-- Multiply  5  by your number.  Write it on the bottom.

-- You have a new fraction that's equivalent to  4/5 .

How many different numbers can you think of ?
That's how many new fractions you can create
that are ALL equivalent to  4/5 .

6 0
2 years ago
Read 2 more answers
25. Tiffany deposited two checks into her account this month. One check was for $70 and the second was for $25. Her balance at t
Anna35 [415]

The first thing to do is to start with something not quite so

complicated, so you can get used to the ideas first.  But let's go

ahead with this one, to check your work.

Here's one way I write these to demonstrate how to think it through:

 (18/2){[(9 x 9 - 1)/ 2]-[5 x 20 - (7 x 9 - 2)]}

 \____/  \_________/               \_________/

    9  {[    80     / 2]-[5 x 20 -     61     ]}

        \______________/ \____________________/

    9  {       40       -           39         }

       \_______________________________________/

    9 *                  1

    \____________________/

               9

So you're correct, and your work was fine.  The only thing I did

differently was to evaluate 18/2 earlier, because nothing stood in its

way; I could have waited as you did.

What parentheses do is to contain a subexpression that has to be fully

evaluated before it can be used in any containing expression.  That's

why you work from the inside out: you can't use what's inside until

you evaluate it all, so you might as well start there.  But if you

forgot to, you'd still have a reminder.  Here's an example:

 2[(3 + 7)(3 - 2) - 3(2 + 2)]

If I didn't bother with the inside-out "rule", I  might just start

trying to evaluate at the left (paying attention to the order of

operations, of course): 2 times ... what?  Well, the second number in

that multiplication is the whole thing inside [...], so I have to put

it on hold until I do that.  So I focus on

 (3 + 7)(3 - 2) - 3(2 + 2)

Now I start that.  The first piece is (3 + 7), so I evaluate that

whole thing and get 10.  Now I have to multiply it by (3 - 2), so I

stop and evaluate that, which gives 1.  Now I can multiply 10 by 1 and

get 10.  So I keep going; I have to subtract something from that, but

since the next bit is a product, I have to do that first.  I'll have 3

times the next parenthesis; that's 3 times 4, so I have 12.  The

subtraction I put off is 10 - 12 = -2.

Now, this is what the whole [...] is, so I go back and do that last

multiplication:

 2*(-2) = -4


7 0
3 years ago
Solve seven square root three plus two square root nine and explain whether the answer is rational or irrational.
Leona [35]

Answer:

Option D. is correct.

Step-by-step explanation:

Let us assume that x = seven square root three plus two square root nine  

i.e. x = 7√3 + 2√9

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

⇒ x = 7√3 + 6

Here, 7√3 is an irrational number and 6 is a rational number.

The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D. is correct.

5 0
3 years ago
Read 2 more answers
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