1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alekssandra [29.7K]
3 years ago
8

An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as a center, a circle is drawn t

hat is tangent to the ellipse, with no part of the circle being outside the ellipse. Compute the radius of the circle.

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

  2

Step-by-step explanation:

The distance between foci is the root of the difference of the squares of the axes lengths:

  d = √(10² -8²) = √36 = 6

Then the radius of the circle is half the difference between this and the length of the major axis:

  r = (10 -6)/2 = 4/2

  r = 2

You might be interested in
One bread recipe calls before 2 1/3 cups of flour. another bread recipe calls for 2 1/2 cups of flour. tim has 5 cups of flour.
sesenic [268]
He will have 1/6 of a cup left
3 0
3 years ago
What is 4/9 - (-2/9)
Citrus2011 [14]

Hello!


\frac{4}{9}-\frac{2}{9}

First you had to used apply rule -(-b)=b

\frac{4}{9}+\frac{2}{9}

Since the denominators are equal to it should be combine by the fractions.

\frac{4+2}{9}

Then add 4+2=6

\frac{6}{9}

\frac{4}{9}-\frac{-2}{9}

Finally you had to cancel by the common factor of 3.

=Answer--->\frac{2}{3}

Hope this helps! And thank you for posting at here on Brainly. And have a great day! -Charlie :)

4 0
3 years ago
-18-6k=6(1+3k) <br> how do I find k
Brut [27]

Answer:

k=-1

Step-by-step explanation:

-18-6k=6(1+3k)

-18-6k=6+18k

+6k          +6k

-18=6+24k

-6    -6

-24=24k

/24   /24

k=-1

8 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP NEED TO GET GRADE UP AND I NEED ANSWERS!!!!
skelet666 [1.2K]

Answer:

1. B) 7

2. B) {y|y ≤ -1}

Step-by-step explanation:

1. Put -4 where x is in the function definition and do the arithmetic.

... 3 - (-4) = 3 +4 = 7

2. If the maximum function value is -1 and the values extend to -∞ from there, then the range is (-∞, -1]. In your notation, that is ...

... {y | y ≤ -1}

8 0
3 years ago
Read 2 more answers
The shear strength of each of ten test spot welds is determined, yielding the following data (psi).
Mumz [18]

Answer:

a) Mean = 382.3 psi

Standard deviation = 20.8 psi

b) 392.7 psi

c) P(X<400)=0.8026

Step-by-step explanation:

a) The population mean can be estimated as equal to the mean of the sample, and the population standard deviation can be estimated from the sample standard deviation:

M=\frac{1}{n}\sum x_i=\frac{1}{10}(389+405+409+367+358+415+376+375+367+362)\\\\M=\frac{1}{10}(3823)=382.3\\\\\mu\approx M=382.3

s=\sqrt{\frac{1}{n-1}\sum (x_i-M)^2}=\sqrt{\frac{1}{10-1}(389-382.3)^2+...+(362-383.2)^2}\\\\\\s=\sqrt{\frac{1}{9}(3906.1)}=\sqrt{434}=20.8\\\\\\\sigma\approx s=20.8

b) We start by searching for the z-value for the 95th percentile. This value is

z=1.645:

P(z

Then, the strength value below which 95% of all welds will have their strengths is:

X=\mu+z\cdot \sigma/\sqrt{n}=382.3+1.645*20.8/\sqrt{10}\\\\X=382.3+32.9/3.2=382.3+10.4\\\\X=392.7

c) We calculate the probability of X being equal or less than 400 as:

z=(X-\mu)/\sigma=(400-382.3)/20.8=17.7/20.8=0.851\\\\\\P(X\leq400)=P(z

6 0
3 years ago
Other questions:
  • A student simplified -(2-n) to the expression n-2. Did the student simplify correctly? Why or why not?
    6·1 answer
  • Help me i will give you 50 points
    10·2 answers
  • What is the perimeter of a 5cm cube. help i`m stuck.
    12·1 answer
  • SOMEONE PLS HELP PLS PLS PLS PLS I DONT UNDERSTAND ANYTHING AND I WANT TO SCREAM THIS IS SO DIFFICULT ILL GIVE BRAINLIEST AND AL
    15·2 answers
  • Kaley cuts half of a loaf of bread into 4 equal parts. What fraction of the whole loaf does each of the 4 parts represent?
    6·2 answers
  • Enter an algebraic expression for the word expression.<br><br> The quotient of −8 and y
    5·1 answer
  • The number of students enrolled at a college is 12,000 and grows 6​% each year. Complete parts ​(a) through ​(e).
    8·1 answer
  • Please help me need ASAP
    14·2 answers
  • 318.8 - 94.63 answer and how to do it
    10·1 answer
  • Solve for u<br> 262=-u+67
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!