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zvonat [6]
3 years ago
15

Find the geometric mean of sqrt 77 and sqrt 343.

Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

12.75

Step-by-step explanation:

The computation of the geometric mean of sqrt 77 and sqrt 343 is given below:

As we know that

Geometric mean = \sqrt{ab}

where

a is the first number = \sqrt{77}

And, the b is the second number = \sqrt{343}

Now first we have to convert into a number

For a it, is = 8.78

And, for b, it is = 18.52

Now the geometric mean is

= \sqrt{8.78 \times 18.52}

= 12.75

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Two cars are 400 km apart. One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same
Alja [10]

Answer:

Two cars are 400 km apart. One car is traveling at 55 km/h, and the other cars are traveling at 45 km/h; if they start at the same time and are driving toward each other, the two cars will meet after 4 hours.

Solution:

Let the two-car be A and B.

Given that two cars are 400 km apart.  

Let us assume The distance traveled by A to meet B = x km.

 

The distance traveled by B can be found by subtracting the total distance x from a length is traveled by A.

So distance travelled by B = (400-x) km

Time taken will be the same for A and B

We know that,  we get

Let us consider the time taken by car. So time is taken by A to travel x km =

Similarly, time is taken by B to travel distance (400-x) km =  

When the two cars meet, .hence we get,

On solving above equation,

9x = 11(400 – x)

9x = 4400 – 11x

9x + 11x = 4400

20x = 4400

X = 220

After 220 km of travel, the car with a speed of 55 km will meet other cars traveling at a rate of 45 km. Now the time taken for two cars to meet each other is given as,

Time is taken for cars to meet =  

Hence the two cars will meet after 4 hours.

Step-by-step explanation:

4 0
3 years ago
If point P partitions the segment<br> AB in a 1:2 ratio, where is point P located?
Gwar [14]

If AP and PB are in a 1:2 ratio, it means that PB is twice AB.

So, AP must fit three times into AB, meaning that P must be at one third of the way between A and B.

6 0
3 years ago
3. The school library has 475 books.
galben [10]

Answer:

The school will have 535 books.

Step-by-step explanation:

12 books a month * 5 months = 60 additional books.

60 + 475 = 535 books.

7 0
3 years ago
Read 2 more answers
What is the value of x? <br> X=
brilliants [131]

Answer:

x=7

step-by-step explanation:

\frac{5}{40}  =  \frac{3}{2x + 10}

5(2x+10) =3×40

10x + 50 = 120

10x =120-50= 70

x = 70/10= 7

5 0
3 years ago
Please help asap, thank youuu
sveticcg [70]

Hence the correct final answer is:

\frac{4y^3}{x^3}

Further explanation:

Given

Line\ 1: \frac{4}{1}.\frac{x^{-2}}{1}.\frac{1}{x}.\frac{y}{1}.\frac{1}{y^{-2}}

The student made the mistake in line two. There was no need to move 4 in the first term, from numerator to denominator

The correct line 2 will be:

Line\ 2: \frac{4}{1}.\frac{1}{x^2}.\frac{1}{x}.\frac{y}{1}.\frac{y^{2}}{1}}\\Line\ 3: \frac{4y^3}{x^3}

Hence the correct final answer is:

\frac{4y^3}{x^3}

Keywords: Fractions, exponents

Learn more about exponents at:

  • brainly.com/question/5014716
  • brainly.com/question/5147732

#learnwithBrainly

3 0
3 years ago
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