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xz_007 [3.2K]
3 years ago
14

Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.

Mathematics
1 answer:
NARA [144]3 years ago
6 0

9514 1404 393

Answer:

  10√5

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

  m = √(20×25) = √500 = √100 × √5

  m = 10√5

The geometric mean of 20 and 25 is 10√5.

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Show the working out
m_a_m_a [10]

Answer:

59.25 currency ; No. of cans rounded to next whole number

Step-by-step explanation:

Draw a perpendicular line frrom the 12m. line onto the 20m. line. We get a rectangle on the left and a right-triangle on the right.

Using Pythagorous theorem,

Fence = \sqrt{17^{2} - 8^{2}} m = 15 m

So, area of the lawn = ( 1/2 ) * ( 12 + 20 ) * 16 sqm = 240 sqm

So, number of cans needed = 240/100 = 2.4 ≈ 3 [Cause cans can't be partially bought ]

Total cost = 3 * 19.75 currency = 59.25 currency

( However, if cans can be partially bought, then total cost = 47.4 currency )

4 0
3 years ago
Please help me......
likoan [24]

Answer:

\frac{3}{8}

Step-by-step explanation:

A=6*\frac{1}{4} ^2\\\\A=6*\frac{1}{16} \\\\A=\frac{6}{16} \\\\A=\frac{3}{8}

7 0
3 years ago
Read 2 more answers
What is the solution to the system of equations graphed below? On a coordinate plane, 2 lines intersect at (2, negative 3). (2,
vlabodo [156]

Answer:

2, -3

Step-by-step explanation:

I think this is right.

Maybe just wait till someone else answers just to makae sure this is exactly the right answer.

8 0
3 years ago
Someone help me please!
andriy [413]

Answer:

To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, we first need to eliminate the fraction by multiplying both sides of the inequality by the denominator, obtaining 5n>n^2+4. Since this inequality involves a quadratic expression, we need to convert it into the form of an^2+bn+c<0 before attempting to solve it. In this case, we subtract 5n from both sides of the inequality to obtain n^2-5n+4<0. The next step is to factorise this inequality. To factorise we must find two numbers that can be added to obtain -5 and that can be multiplied to obtain 4. Quick mental mathematics will tell you that these two numbers are -4 and -1 (for inequalities that are more difficult to factorise mentally, you can just use the quadratic equation that can be found in your data booklet) so we can write the inequality as (n-4)(n-1)<0. For inequalities where the co-efficient of n^2 is positive and the the inequality is <0, the range of n must be between the two values of n whereby the factorised expresion equals zero, which are n=1 and n=4. Therefore, the solution is 1<n<4 and we can check this by substituting in n=3, which satisfies the inequality since (3-4)(3-1)=-2<0. Since n is an integer, the expressions n≤3 and n<4 are the same. Therefore, we can write the final answer as either 1<n<4, or n>1 and n≤3.

5 0
3 years ago
If m∠6=85° , what is the measure of ∠3 ?
gizmo_the_mogwai [7]

Answer:

42.5

Step-by-step explanation:

its easy not even needed to be explained!!

8 0
4 years ago
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