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Citrus2011 [14]
2 years ago
5

The diagonal of a square is 60 in, as shown

Mathematics
1 answer:
andre [41]2 years ago
5 0

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800

Taking square root on both sides

\sqrt{x^2}=\sqrt{1800}\\x=42.4

Hence,

The length of side is 42.4 inches.

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Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)
vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

d =   \sqrt{ ({ - 3 - 1})^{2}  +  ({2 + 6})^{2} }   \\  =  \sqrt{ ({ - 4})^{2} +  {8}^{2}  }  \\  =  \sqrt{16 + 64}  \\  =  \sqrt{80}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 4 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 8.9442719...

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

6 0
3 years ago
An american roulette wheel has 38 slots, of which 18 are red, 18 are black, and 2 are green (0 and 00). if you spin the wheel 38
Alexeev081 [22]
Intuitively, one would think the ball would land in the green spot 2 out of the 38 times, since there are 38 slots and 2 are green.

The probability that it lands in a green section is 2/38.  Multiplying this by the number of times the experiment is performed, we get (2/38)(38) = 2.
3 0
3 years ago
Which answer correctly estimates the product of 20.21 × 999.801? A. about 20,000 B. about 2,000 C. about 200 D. about 20
levacccp [35]

20.21 multiplied by 999.801 is 20,205.97821, so the correct answer would be A. about 20,000

8 0
3 years ago
Can someone help me with rounding this problem to the tenth? id appreciate it
mezya [45]

4/13.6 = 0

(X/3)/4 = 24

x^2-(7*x)+12 > 0

(1/2)*x^2 = -7

(1/3)*p^2 = 1/4

My friend did this one let me know if it's right or wrong. <3

4 0
3 years ago
Solve 6(x + 1) &gt; 2x - 1<br><br> x &gt; -1/2<br> x &gt; -7/4<br> x &gt; 0
Bond [772]

Answer:

x > - \frac{7}{4}

Step-by-step explanation:

Given

6(x + 1) > 2x - 1 ← distribute parenthesis on left side

6x + 6 > 2x - 1 ( subtract 2x from both sides )

4x + 6 > - 1 ( subtract 6 from both sides )

4x > - 7 ( divide both sides by 4 )

x > - \frac{7}{4}

6 0
3 years ago
Read 2 more answers
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