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2 years ago

Please help! this one keeps getting me.

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

3 0

Answer:

C. √16,200 feet

Step-by-step explanation:

According to Pythagorean theorem

c^2 = a^2 + b^2

Home First and Third is formed a right triangle with 2 equal sides = 90 ft

c^2 = 90^2 + 90^2

c^2 = 8100 + 8100

c^2 = 16,200

c = √16,200

Answer

C. √16,200 feet

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crimeas [40]

Answer:

The base and height of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, A = 24 ft².

The base height of the garden are:

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height (h) = x + 3

Compute the value of x as follows:

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The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

$x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{ 3 } \pm \frac{ \sqrt{139}\, }{ 3 }\\x = 1.59661\\x\approx 1.60$

The value of base and height are:

$\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}$

Thus, the base and height of the garden are 4.60 ft and 5.60 ft.

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2 years ago

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3 years ago

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hichkok12 [17]

Answer:

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Step-by-step explanation:

we have

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Adds equation A and equation B

2x-3y=-1

3x+3y=26

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x=25/5

x=5

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