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ICE Princess25 [194]
3 years ago
10

. Janea has a square garden with an area of 1600 square feet. Sheplans to create a straight path from the middle of one side tot

he middle of the opposite side. If the path is 3 feet wide, howmany square feet of garden will be turned into path?
Mathematics
1 answer:
kvasek [131]3 years ago
8 0

120 sq.feet of the garden will be turned into path.

<u>Step-by-step explanation</u>:

  • Area of a square garden = 1600 sq.feet.
  • length of the side = a

Area of square = a²

⇒ 1600 = a²

⇒ a = √1600

a = 40

  • The length of the path = 40 feet
  • The width of the path = 3 feet

The area of the path = length\timeswidth

⇒ 40\times3 = 120 sq.feet

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3 is the 10 billions place
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3 years ago
Use the quadratic f(x)=x²+3x-4 and use any method to solve for the Zeros. Use the same function to solve for x when y is 6. F(x)
Katyanochek1 [597]

Answer:

a) f(x) = (x+4)\cdot (x-3), b) x = -5 or x = 2, c) x \approx 2.531 or x \approx -5.531

Step-by-step explanation:

a) The function is solved by factorization:

f(x) = (x+4)\cdot (x-3)

b) The function has the following form:

x^{2} + 3\cdot x - 4 = 6

x^{2} + 3\cdot x - 10 = 0

The roots of the polynomial are found by factorization:

(x+5)\cdot (x-2) = 0

x = -5 or x = 2

c) The function has the following form:

x^{2} + 3\cdot x - 4 = 10

x^{2} + 3\cdot x - 14 = 0

The roots of the polynomial are determined by the General Formula for the Second-Order Polynomial:

x_{1} = \frac{-3+\sqrt{3^{2}-4\cdot (1)\cdot (-14)}}{2\cdot (1)}

x_{1} \approx 2.531

x_{2} = \frac{-3-\sqrt{3^{2}-4\cdot (1)\cdot (-14)}}{2\cdot (1)}

x_{2} \approx -5.531

8 0
4 years ago
What is 3.1 divided by 25.42
Crank

Answer:

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Step-by-step explanation:

3.1 / 25.42 = 0.12195121951

4 0
3 years ago
Read 2 more answers
HELP ASAP !!
masya89 [10]

Answer:

y

Step-by-step explanation:

The graph in the attached figure

<em>Find the equation of the dashed line</em>

we have

points (0,2) and (5,3)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{3-2}{5-0}

m=\frac{1}{5}

<em>Find the equation of the dashed line in slope intercept form</em>

y=mx+b

we have

m=\frac{1}{5}

b=2

substitute

y=\frac{1}{5}x+2

Remember that

The solution of the inequality is the shaded area below the dashed line

therefore

The equation of the inequality is

y

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3 years ago
Your brother eats 1/6th of your birthday pizza. If the pizza has a diameter of 12 inches, what is the area that he ate
Kipish [7]

Answer:

18.84 in^2

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he diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

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1/6 x 113.04 = 18.84

7 0
3 years ago
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