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Nutka1998 [239]
4 years ago
13

The length of a rectangle is twice its width The perimeter of the rectangle is 43cm

Mathematics
1 answer:
boyakko [2]4 years ago
6 0

Answer:

7.17 cm

Step-by-step explanation:

If the width is x, the length is twice this  = 2x

And

Perimeter = 2 (W + L)

so

Perimeter =  2 ( x + 2x)

Perimeter  = 2 (3x)

Perimeter  = 6x

43  =  2 ( x + 2x )

43= 2 ( 3x)  

43  =  6x

= 7.17 cm

Hope this helps i'm pretty sure this is how you do it :-)

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A 12-foot support wire is attached to the top of a pole shown. The wire is anchored in the ground 4-feet from the pole.
Gnom [1K]

Equation D. 12^{2} = y^{2} + 4^{2} can be used to solve y in feet.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side opposite the right angle. So the hypotenuse of this given triangle is 12 feet.

The other two sides of the triangle are 4 feet long and y feet long.

Step 2:

Substituting the values we know in the Pythagorean theorem, we get

12^{2} =4^{2} + y^{2}, which can also be written as

12^{2} = y^{2} + 4^{2} .

This is option D.

4 0
3 years ago
Is square root 72 rational or irrational explain
Shalnov [3]

Answer:

irrational

Step-by-step explanation:

it is not a perfect square.

square root of 72= 8.48528137424...

7 0
4 years ago
The pyramid shown had a square base and congruent triangular faces. Calculate the surface area of the pyramid.
Nikitich [7]
Square base means the bottom is 6 x 6 = 36 in^2
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3 0
4 years ago
7. What is the solution to x2 + 10x + 27 = 0 when written in the form a ± bi? (1 point)
son4ous [18]

Answer:

<u>The correct answer is D. -5 +/- i√2</u>

Step-by-step explanation:

Let's solve for x, the equation given to us, this way, using the quadratic formula:

x = (- b +/- √b² - 4ac)/2a

Replacing with the real values, we have:

x = (-10 +/- √10² - 4 * 1 * 27)/2

x = (-10 +/- √100 -108)/2

x = (-10 +/- √-8)/2

x = (-10 +/- √-1 * 4 * 2)/2 Let's recall that √-1 = i

x = (-10 +/- 2i√2)/2

x = 2 (-5 +/- i√2)/2 (Dividing by 2 both the numerator and the denominator)

<u>x₁ = -5 + i√2</u>

<u>x₂ = -5 - i√2</u>

<u>The correct answer is D. -5 +/- i√2</u>

7 0
4 years ago
Read 2 more answers
the ratio of legs to dogs in the dog shelter was 4 to 1 if there was 40 legs than how many dogs were there
dexar [7]

Answer:

10

Step-by-step explanation:

10 dogs times 4 legs each

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