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
Harrizon [31]
3 years ago
5

If the geometric mean of a and 28 is 16 sqrt 7 find a

Mathematics
2 answers:
kozerog [31]3 years ago
8 0

Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is \sqrt{ab} , then

\sqrt{28a} = 16\sqrt{7} ( square both sides )

28a = (16\sqrt{7} )² = 1792 ( divide both sides by 28 )

a = 64

adelina 88 [10]3 years ago
8 0

Answer:

a = 64

Step-by-step explanation:

The geometric mean for two numbers is given by :

GM = sqrt(ab)

16 sqrt(7) = sqrt(a*28)

Square each side

(16 sqrt(7))^2 = (sqrt(a*28))^2

256*7 = 28a

1792 = 28a

Divide each side by 28

1792/28 = 28a/28

64 = a

You might be interested in
.
Tamiku [17]
Using the Pythagorean theorem 

c^2 = a^2 +b^2
C^2 = 12^2 + 8^2
c^2 = 144 +64
c^2 = 208

c= sqrt(208)

c= 14.4 feet
8 0
4 years ago
Elliot made 5 more dollars than double what Bruce made. If Bruce earned x dollars, how much did
Naddika [18.5K]

Answer:

2x+5

Step-by-step explanation:

x+x+5

2x+5

4 0
3 years ago
Hi! It’d be really helpful if someone could explain he two questions below, thanks!
kow [346]
Okay sounds good thanks for the invite too but that’s okay I’m just watching the movie theater and I got my own business cards and then I’ll mail them
4 0
2 years ago
~!!!! HELPPPPPPPPP IM IN 7Th GRADE LEARNING 9TH AND 8TH HELP PLEASE !!!!~
Dafna1 [17]

Answer:

Step-by-step explanation:

Plug the point (-1,20) into the equation.

20 = a|-1|+7

13 = a|-1|

13 = a ⋅ 1

a= 13

:::::

(1,20) is another point on the graph.

5 0
3 years ago
a team played 99 games. if they won 15 more than twice as many games as they loss how many wins and losses did they have.
rusak2 [61]
Lost 26
Won 67
Total 93
3 0
3 years ago
Other questions:
  • Which equation represents a line that passes through (–2, 4) and has a slope of 2/5 ?
    6·1 answer
  • What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m?
    14·1 answer
  • Evaluate the following expression when n = -7.<br><br> -9|n + 5|
    11·1 answer
  • Can anybody help me learn trigonometry?<br> i have no idea how to do it.
    14·1 answer
  • 3x+4y&gt;=−8<br> Graph the inequality on the axes below.
    8·1 answer
  • The diameter of a circle 8 centimeters. What is the circles area?use 3.14 for n
    5·1 answer
  • Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many
    5·1 answer
  • Add 6/7 + 80/9. Enter your answer below as an improper fraction in lowest terms, using the slash (/) as the fraction bar.​
    6·1 answer
  • A photographer has a print that is 3.5 inches wide and 2.5 inches tall. If the photographer enlarges the print so that it is 7 i
    9·2 answers
  • 23^0 is equal to<br> O 23<br> 1<br> 23
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!