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madam [21]
2 years ago
12

If the perimeter of a square is 5 feet, how many inches long is each side of the square?

Mathematics
2 answers:
Rashid [163]2 years ago
5 0
The whole square would be a total of 60 inches(5 feet)

Each side would be 15 inches(1 foot and 3 inches)
marysya [2.9K]2 years ago
3 0
Well since we know that the perimeter of a square is four times the length of one of its sides. We just have to divide 5 by 4 to get the length of one side:

5feet /4 sides = 1.25 feet

And to finish off, we have to convert feet to inches:

<u>1 foot      </u>= <u>12 inches</u>
1.25 feet    x inches

x inches = 12 inches x 1.25 feet ÷ 1 foot
x inches = 15 inches

Therefore, each side is 15 inches long.

Hope this helps!
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Expand (3 - 2x)6. What is the coefficient of the sixth term?
stich3 [128]
To expand (3 - 2x)^6 use the binomial theorem:

(x + y)^ n = C(n,0) x^ny^0 + C(n,1)x^(n-1) y + C(n,2)x^(n-2) y^2 + ...+ C(n,n+1)xy^(n-1) + C(n,n)x^0y^n


So, for x = 3, y = -2x , and n = 6 you get:

(3 - 2x) ^6 = C(6,0)(3)^6 + C(6,1)(3)^5 (-2x) + C(6,2) (3)^4 (-2x)^3 + C(6,3) (3^3) (-2x)^4 + C(6,4)(3)^2 (-2x)^4 + C(6,5) (3) (-2x)^5 + C(6,6) (-2x)^6

So, the sixth term is C(6,5)(3)(-2x)^5 =  6! / [5! (6-5)! ] * 3 * (-2)^5 x^5 = - 6*3*32 = - 576 x^5.

The coefficient of that term is - 576.

Answer: - 576
5 0
2 years ago
A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle
kherson [118]

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

5 0
2 years ago
Geraldo wants to start a group bike ride on Sunday mornings for students at his school. He asked 30 students in the lunchroom ho
blsea [12.9K]
4 is the answer because there are only 4 numbers greater than 10.Those are the people who ride bikes ore than 10 times.
3 0
2 years ago
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Fill in missing information to make the equality true: <br> (... +2a)2 = … +12ab2+4a2.
BigorU [14]

Answer:

I suppose it should be

6b² and (6b²)²

or

6b² and 36b^{4}

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

therefore

(6b²+2a)² = (6b²)² + 12ab² + 4a²

3 0
2 years ago
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Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5
Ksenya-84 [330]
Solve for x over the real numbers:
x^2 - 4 x = 5

Subtract 5 from both sides:
x^2 - 4 x - 5 = 0

x = (4 ± sqrt((-4)^2 - 4 (-5)))/2 = (4 ± sqrt(16 + 20))/2 = (4 ± sqrt(36))/2:
x = (4 + sqrt(36))/2 or x = (4 - sqrt(36))/2

sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (4 + 6)/2 or x = (4 - 6)/2

(4 + 6)/2 = 10/2 = 5:
x = 5 or x = (4 - 6)/2

(4 - 6)/2 = -2/2 = -1:

Answer:  x = 5 or x = -1
8 0
2 years ago
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