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VMariaS [17]
2 years ago
11

Use Heron's formula to find the area of the triangle. Round to the nearest square foot.

Mathematics
1 answer:
Sphinxa [80]2 years ago
8 0

Answer:

A ≈ 2 ft²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = \sqrt{s(s-a)(s-b)(s-c)}

where s is the semiperimeter and a, b , c the sides of the triangle.

s = \frac{a+b+c}{2} = \frac{4+4+1}{2} = \frac{9}{2} = 4.5

Then

A = \sqrt{4.5(4.5-4)(4.5-4)(4.5-1)}

   = \sqrt{4.5(0.5)(0.5)(3.5)}

   = \sqrt{3.9375}

   ≈ 1.9843...

   = 2 ft² ( to the nearest square foot )

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Answer:

305 degree

Step-by-step explanation:

As AD and CE are the diameters of circle P, so that they intersect each other at point P.

=> So that ∡CPA and ∡DPE are two vertical angles.

=> ∡CPA = ∡DPE = 93 degree

As we can see, ∡CPA = ∡CPB + ∡BPA =38 + ∡BPA

=> ∡BPA = ∡CPA - 38 = 93 - 38 = 55 degree

As P is the centre of the circle, so that ∡BPA is equal to the measure of the arc AB, equal to 55 degree.

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2 years ago
The Schmidts brought a house 10 years ago and took out a mortgage. They are considering selling and want to know how much they s
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Step-by-step explanation:

The present value of the payments for the servicing of the loan is the amount of the loan that is still owed because the payments include both the interest and the principal repayments.

The Schmidts can therefore find out the amount they still owe by checking the present value of the remaining 20 years worth of payments.

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Step-by-step explanation:

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3 years ago
Use absolute value notation to represent the following: all numbers x whose distance from 6 is no more than 7.5 units
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Answer:

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Step-by-step explanation:

We have to use absolute value notation to express the given statement.

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|x| = x, ~x > 0\\~~~~=-x, ~x < 0

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We want to write a absolute value function for all numbers x whose distance from 6 is no more than 7.5 units.

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|x-6| \leq 7.5

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