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Paladinen [302]
1 year ago
10

The perimeter of a triangle is 170 ft and the sides are in the ratio of 25:14:12. Find the area of the triangle

Mathematics
1 answer:
EastWind [94]1 year ago
8 0

using the ratio, the length of the sides are:

25x + 14x + 12x = 170

51x = 170

x = 170 / 51

x = 3 1/3

The lengths of the sides are: 25 * 3 1/3 = 83 1/3 feet

14 x 3 1/3 = 46 2/3 feet

12 x 3 1/3 = 40 feet

Using Heron's formula

the semi perimeter (S) = 170/2 = 85 ft.

The area of the triangle = SQRT(S*(S-83 1/3) * (S - 46 2/3) * (S-40))

= SQRT (85 * (85-83 1/3) * (85 - 46 2/3) * (85-40)

= SQRT (85 * 1 2/3 * 38 1/3 * 45)

= SQRT(244374)

= 494.34 square feet ( round answer as needed).

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mariarad [96]

Answer:

Insurance will pay $250,000 and Ronaldo will pay $90,000

Step-by-step explanation:

50/250 means 50 is the maxi9$50,000 per person for body injury liability while 250 means $250,000 maximum for one accident for body injury liability claim.

18 children each was awarded $20,000 as a result of lawsuit

Total amount of lawsuit=18×$20000= $360000

Ronald has 50/250 BI

Total amount insurance will pay =250,000

Ronald will have to pay= $(360,000-250000)=$90,000

8 0
2 years ago
You travel 5 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 6 miles upstream at a speed
Vlad1618 [11]
Kyle, d = rt, right? This means that t = d/r. If we call the rate of the current c, then her rate upstream is hindered by the current and is 3 - c. Downstream is 3 + c. The total time is 6 hours... 5/(3 - c) + 5/(3 + c) = 6 Once we put everything over the same denominator, we don't need it anymore. 5(3 + c) + 5(3 - c) = 6(3 - c)(3 + c) 15 + 5c + 15 - 5c = 54 - 6c2
30 = 54 - 6c26c2 = 24c2 = 4c = 2 2 mph 
3 0
1 year ago
Describe the graph represented by the equation r=5/(3+2 sin theta).
Yuki888 [10]
We have the following equation:

r= \frac{5}{3+2sin(\theta)}

If we graph this equation we realize that in fact this is an ellipse with major axis matching the y-axis. So we can recognize these characteristics:

1. Center of the ellipse: 

The midpoint C<span> of the line segment joining the foci is called the </span>center<span> of the ellipse. So in this exercise this point is as follows:
</span>
C(0, -2)

2. Length of major axis:

The line through the foci is called the major axis<span>, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:</span>

6 \ units

3. Length of minor axis:

The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:

4 \ units

4. Foci:

Let's find c as follows:

c=\sqrt{a^{2}-b^{2}}=\sqrt{3^{2}-2^{2}}=\sqrt{5}

Then the foci are:

f_{1}=(0, \sqrt{5}-2)

f_{2}=(0, -\sqrt{5}-2)

8 0
1 year ago
in 1990 automobile dealership sold certain model car for $14 and 649 cents in 2000 so the same model car for $23 and 609 cents f
Virty [35]
The original prize: 14.649

New prize: 23.609

(the years here are not relevant, just to confuse you with more numbers)

the increase is 23.609-14.649=8.960

If we want to know the percentage, we need to know what percentage of the original prize is 8.960.

this  is calculated like this:

\frac{8960}{14609}= 0.61164

ti make it into percentage, we multiply by 100%: 61.164%
3 0
1 year ago
Consider the system: y = 3x + 5 y = ax + b What values for a and b make the system inconsistent? What values for a and b make th
AnnyKZ [126]
<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>
7 0
2 years ago
Read 2 more answers
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