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FrozenT [24]
4 years ago
14

What is the length of a diagonal of a square with a side length of 6?

Mathematics
2 answers:
Luda [366]4 years ago
6 0
D = 8.49 

I- - - - - - - - - - - - I
I                          I
I            d            I a
I                          I 
I                          I
I- - - - - - - - - - - - I
vfiekz [6]4 years ago
3 0
By the Pythagorean Theorem:

d^2=x^2+y^2, where x and y are the dimensions of the rectangle, however this is just a square, so x=y=s so

d^2=s^2+s^2

d^2=2s^2, and we are told that s=6 so

d^2=2(6^2)

d^2=2(36)

d=√(2(36))

d=6√2  units

d≈8.49 units (to nearest hundredth of a unit)
You might be interested in
From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.
Colt1911 [192]

Given:

• AD = 3

,

• DC = 27

,

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

\frac{AD}{BD}=\frac{BD}{DC}

Where BD is the altitude.

Cross multiply:

BD^2=AD*DC

Plug in the values and solve for x:

\begin{gathered} (x+3)^2=3*27 \\  \\ (x+3)^2=81 \end{gathered}

Take the square root of both sides:

\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\  \\ x+3=9 \\  \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\  \\ x=6 \end{gathered}

Therefore, the value of x is 6 .

ANSWER:

d. 6

4 0
1 year ago
Easy question and easy point <br><br><br> what is 2+2-2+6*8
oksian1 [2.3K]
The answer is 46 thank you
7 0
3 years ago
Read 2 more answers
Write the equation of the line represented on the graph.
Marianna [84]

Answer:

y=-\frac{3}{2} x+3

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Does anyone know this?
Marina CMI [18]
1.37x10^9 is the correct answer:)
3 0
3 years ago
Read 2 more answers
Use the formula for the difference of cubes to show that 125 - 27 = 98
IrinaVladis [17]

The formula is

a^3 - b^2 = (a - b)(a^2 + ab + b^2)  so plugging in  the given values:-

a = cube root of 125 = 5 and b = cube root of 27 = 3 ,  we get:-

125 - 27 = (5 - 3)(5^2 + 5*3 + 3^2)

= 2 * 49

= 98   answer

3 0
3 years ago
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