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
Charra [1.4K]
3 years ago
5

Insert two geometric means between 729 and 64​

Mathematics
1 answer:
Liula [17]3 years ago
8 0

Answer:

324 and 144

Step-by-step explanation:

We require

a₁, a₂, a₃, a₄

where a₂ and a₃ are the required geometric means

The n th term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 729 and a₄ = 64, thus

729(r³) = 64 ( divide both sides by 729 )

r³ = \frac{64}{729} ( take the cube root of both sides )

r = \sqrt[3]{\frac{64}{729} } = \frac{4}{9} , then

a₂ = 729 × \frac{4}{9} = 81 × 4 = 324

a₃ = 324 × \frac{4}{9} = 36 × 4 = 144

Thus

729, 324, 144, 64

You might be interested in
It is colder than −7 ºF outside. Which inequality represents the temperature t?
bekas [8.4K]

Answer:

-7>t

Step-by-step explanation:

If the temperature is lower than -7 degrees Fahrenheit, then the inequality must show a number less than -7. Or in other words, -7 is greater than what the temperature is, thus the answer is -7>t

3 0
3 years ago
The diameter of Jim’s circular flower bed is 10 feet. What is the area, in square feet, of Jim’s flower bed?
Setler79 [48]
The area of a circle is PiR^2
Divide 10 by 2, to get the radius.
Square the radius, 5, which gives you 25.
25Pi is your answer, which is C.)
8 0
4 years ago
Read 2 more answers
There are 25 questions on your math test. You have completed 5 questions so far. What fraction of the total questions do you sti
maksim [4K]

Answer:

\frac{4}{5}

Step-by-step explanation:

If you have completed 5 questions, you still have 25-5=20 more questions to answer. We need to find what fraction 20 is of 25, if that makes sense. A fraction is simply a part over a whole. In this case, the part is 20 and the whole is 25. Therefore, the fraction we are looking for is \frac{20}{25}, which simplifies to \frac{4}{5}. Hope this helps!

6 0
3 years ago
Read 2 more answers
Why is coal a non-renewable energy source​
Ratling [72]
1. It is extracted from the ground.
2. It took years to form.
5 0
3 years ago
Solve for the values of x and y in the diagram
qaws [65]

Answer: y = 0.5, x = 50

Step-by-step explanation: Both triangles in the picture are isosceles, telling us that the 2 angles at the bottom are congruent. With this, we can find y by doing the following:

a triangle has 180 degrees so we subtract the given 50 which gives us 130

2(2y + 64) = 130

4y + 128 = 130

y = .5

This means that the bottom 2 angles are both 65. Since the top angle of the second triangle is supplementary to the bottom angle of the first one, the top angle of the second triangle is 115. So, we find x by:

2(45 - x/4) = 65

x = 50

This means the bottom 2 angles of the second triangle are both 32.5.

7 0
3 years ago
Read 2 more answers
Other questions:
  • A factory makes rectangular sheets of cardboard, each with an area of 212 square feet. Each sheet of cardboard can be cut into s
    7·1 answer
  • 16,473 rounded to the nearest thousand
    7·2 answers
  • Pls help me, the assignment is on the g00gle docs. I cant put it on here. Pls I need ligit help (remember in g00gle put o s inst
    8·1 answer
  • Directions: Solve for the missing proportion in each of the following problems.
    6·2 answers
  • Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
    6·2 answers
  • A square playground has an area of 279 ft. ² What is the approximate length of each side of the playground?
    7·1 answer
  • Equations definitions
    7·1 answer
  • Solve using substitution. x − 6y = –8 x + 6y = 16 please help imma fail
    13·2 answers
  • 23 students want pancakes and 25 students wants waffles .what is the ratio of the number of students who want pancakes to the nu
    11·1 answer
  • Which of the following best describes the slope of the line below?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!