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Brums [2.3K]
2 years ago
10

Tyler has a rectangular garden measuring 12m by 20m that he wants to split diagonally from corner to corner using a fence. How l

ong does his fence need to be? Round your answer to the nearest tenth.
Mathematics
2 answers:
VARVARA [1.3K]2 years ago
8 0

Answer:

Length of diagonal of the rectangle=

√( length) ²+( breadth) ²

=√(20) ²+(12) ²

=√400+144

√544 m

. '. Length of fence= √544 m

Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)

=(32+√544) m

Sergeeva-Olga [200]2 years ago
5 0

Answer:

23.32 m to the nearest hundredth.

Step-by-step explanation:

Use the Pythagoras theorem:

The diagonal is the hypotenuse of the right angled triangles formed.

x^2 = 12^2 + 20^2

x^2 = 544

x = 23.32 m.

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How many terms in the arithmetic sequence(2,4,6,8....) will give sum of 600
andriy [413]

Answer:

  24 terms

Step-by-step explanation:

The sum of an arithmetic sequence is the average of the first and last terms, multiplied by the number of terms. The last term is given by ...

  an = a1 + (n-1)d

We have a sequence with first term a1 = 2 and common difference d = 2. So the last term is ...

  an = 2+ 2(n -1) = 2n

Then the average of first and last terms times the number of terms is ...

  Sn = 600 = n(2 + 2n)/2 = n(n+1) . . . . . . close to n²

We can solve the quadratic in n, or we can estimate the value of n as the integer just below the square root of 600.

  √600 ≈ 24.5

so we believe n = 24.

_____

<em>Check</em>

  S24 = 24·25 = 600 . . . . . . as required.

8 0
2 years ago
Jared is placing chairs around of rectangular stage. The stage is 10 feet long and 22 feet wide. He wants to put a chair at each
marishachu [46]
Hi there, I believe the answer is 20. Because, each corner is 4 chairs plus every two feet, equals 20. Hope this helps!
3 0
2 years ago
Read 2 more answers
Giuliana has 22 quarters and dollar coins worth a total of $10.75. Which equation can be used to find d, the number of dollar co
vovangra [49]

Answer:

Option (3). 0.25(22 - d) + d = 10.75

Step-by-step explanation:

Total number of coins Giuliana has = 22

Let the number dollar coins Giuliana has = d

Number of quarters with Giuliana = (22 - d)

Value of dollar coins and quarters = $10.75

So the equation will be,

Number of dollars coins × $1 + Number of quarters × $0.25 = $10.75

d + 0.25 × (22 - d)  = 10.75

Therefore, to determine the number of dollars with Giuliana equation will be used,

d + 0.25(22 - d) = 10.75

Option (3) will be the answer.

4 0
2 years ago
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Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a negative number
Orlov [11]

That would be a false statement

6 0
2 years ago
The density of gold is 19.3 g/cm3. A weight of 1 ounce is equivalent to a mass of about 28.35 g. Which of these is closest to th
cluponka [151]

Answer: The side length of the cube is 2.27cm

Step-by-step explanation:

The options are not given, then let's solve this in a general way.

We know that the density of gold is 19.3g/cm^3.

We also know that 1 oz = 28.35g.

And we know the relation:

Density = mass/volume.

Now, let's find the volume of 8 ounces of gold.

First, let's rewrite the density changing the units, from grams to ounces.

We know that:

1 oz = 28.35g

(1 oz/28.35g) = 1.

Then if we multiply the density by this ( that is equal to 1) we can change the units and leave the actual quantity invariant.

d =  19.3g/cm^3 =  19.3g/cm^3*(1 oz/28.35g) = 0.68 oz/cm^3

Now let's use the equation for the density, knowing this time that the mass is 8 ounces.

0.68 oz/cm^3 = mass/volume = 8oz/V

Let's find the value of V

0.68 oz/cm^3 = 8oz/V

V = 8oz/0.68 oz/cm^3 = 11.76 cm^3

Now, we know that this is a cube.

Remember that the volume of a cube of side length L is:

V = L^3

Then we have:

L^3 = 11.76 cm^3

L = ∛11.76 cm^3 = 2.27 cm

The side length of the cube is 2.27cm

8 0
1 year ago
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