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scZoUnD [109]
2 years ago
14

In what situations (if any) is Heron’s formula useful for finding the area of a triangle.

Mathematics
1 answer:
Inga [223]2 years ago
5 0
Heron’s formula is useful when we know all three sides of triangle
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Step-by-step explanation:

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Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tent
Anvisha [2.4K]

Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

d =   \sqrt{ {10}^{2} -  {5}^{2}  }  \\  =  \sqrt{100 - 25}  \\  =  \sqrt{75} \\  =  8.66025404 \\  = 8.7 \: units

3 0
3 years ago
I need the answer fast please !
Ahat [919]

Answer:

30

Step-by-step explanation:

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Sum of Co interior angles are equal to 180°

180°-60° =120°

90°+60°+ x = 180°

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6 0
3 years ago
What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x?
Nataliya [291]
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What is the compounded interest after 3 years if you invest $10 000 and earn an interest rate of 5% per year?
denis23 [38]

Compound Interest is the interest that is <em>compounded on a particular sum of money or investment over a given period of time.</em>

  • The interest for the first year is $1,576.25
  • The sum of money after adding the original to the interest is $11,576.25
  • The interest on the new total is $13,400.96

  • Step 1: Find the interest for the first year.

The formula is given as:

A = P(1 + r/n)^nt

P = Principal = $10,000

R = Rate = 5%

n = 1

t = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 10,000(1 + 0.05/1)^(1)(3)

A = 10,000.00(1 + 0.05)^(3)

A = $11,576.25

I = A - P

Hence:

I = $11,576.25 - $10,000.00

I (interest) = $1,576.25

  • Step 2: Add the interest to the original amount.

$10,000 +  $1,576.25

= $11,576.25

  • Step 3: Determine interest in the new total

The formula is given as:

A = P(1 + r/n)^nt

P = Principal = $11,576.25

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 11,576.25(1 + 0.05/1)^(1)(3)

A = 11,576.25(1 + 0.05)^(3)

A = $13,400.96

Therefore,

  • The interest for the first year is $1,576.25
  • The sum of money after adding the original to the interest is $11,576.25
  • The interest on the new total is $13,400.96

To learn more, visit the link below:

brainly.com/question/16020930

5 0
3 years ago
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