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3 years ago

What is the length of the diagonal?

Mathematics

2 answers:

Anon25 [30]3 years ago

4 0

The answer is $16\sqrt{8}$ i hope this answer helps you!

Naddik [55]3 years ago

4 0

All the angles of a square are 90°

So a diagonal divides a square into a right angled triangle.

All the sides = 8 ft

Applying Pythagoras theorem,
Length of diagonal = ✓8^2 + 8^2 = ✓(64 + 64)
= ✓ 128
= 8√2

Correct answer is 8✓2

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beks73 [17]

Answer:

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Step-by-step explanation:

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3 years ago

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The radius of a circle is 1 centimeter. What is the circle's circumference?

igomit [66]

Answer:

6.28 cm

Step-by-step explanation:

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2 years ago

Jackson used the process of completing the square to solve the equation 2x2−12x=−6.

Nikolay [14]

Answer:

$x=3-\sqrt{6},x=3+\sqrt{6}$

Step-by-step explanation:

we are given equation as

$2x^2-12x=-6$

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so, firstly we will complete square

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step-1:

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$2(x^2-6x)=-3\times 2$

step-2:

Simplify it

$x^2-6x=-3$

step-3:

Add both sides 3^2

$x^2-6x+3^2=-3+3^2$

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step-4:

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step-5:

Add both sides by 3

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3 years ago

Verify the identity. 4 csc 2x = 2 csc2x tan x

vlada-n [284]

Step-by-step explanation:

$4csc(2x) = 2csc^2(x) tan(x)$

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

$4 \frac{1}{sin(2x)}$

Also we use identity

sin(2x) = 2 sin(x) cos(x)

$4 \frac{1}{2sin(x)cos(x)}$

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

$2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}$

$2\frac{sin(x)}{sin^2(x)cos(x)}$

$2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}$

We know that sinx/ cosx = tan(x)

Also 1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified

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3 years ago

A rectangular prism is 3 ft long 4 ft wide and 2 ft tall. What is the length of the longest diagonal?

anzhelika [568]

Answer: Pythagorean Theorem in 3 D

sqrt ( 3^2 + 4^2 + 2^2) =

sqrt ( 9 + 16 + 4) =

sqrt( 29) = 5.3852 approximately

Step-by-step explanation:

The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.

8 0

3 years ago