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An horse gallops 200ft turns and trots 350ft turns again and travels 410ft

bija089 [108]

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

<h3>What is the Heron's formula?</h3>

The Heron's formula is given as;

√s(s-a)(s-b)(s-c)

where s is half the perimeter of the triangle

WE have been given that horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.

Perimeter of the triangle is given as = 200 + 350 + 410 = 960 ft

Semi perimeter = 960 ft/ 2 = 480 ft

Area = √s(s-a)(s-b)(s-c)

Area = √480 (480 -200)(480 -350)(480 -410)

Area = √480 (280)(130)(70)

Area = √480 (2548000)

Area = 34971.98

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

Learn more about the Heron's formula;

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The complete question is

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.

6 0

9 months ago

NEED AWNSERS ASAP!!!

Naddik [55]

Answer:

3x+2x=95

5x=95

X=19

Step-by-step explanation:

it may help you to understand

5 0

3 years ago

At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equat

Step2247 [10]

Answer:

$y=8x-781$

Here, $x$ represents temperature and $y$ denotes rate of chirping per minute.

Step-by-step explanation:

Let $x$ represents temperature and $y$ denotes rate of chirping per minute.

At $106$ °F, a certain insect chirps at a rate of $67$ times per minute.

Take $(x_1,y_1)=(106,67)$

At $108$ °F, they chirp $83$ times per minute.

Take $(x_2,y_2)=(108,83)$

Slope intercept form:

$y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781$

3 0

2 years ago

Janelle and her best friend Carmen go shopping. the function p(t) = 5^4-3x^3 +2^2+24 represents how much money each girl spent b

emmasim [6.3K]

<h2>Hello!</h2>

The answer is:

They spent $176 together.

We are given an expression which represents the money spent for each girl, it's a function of time and it will show how much they can spend in terms of hours.

Assuming that you have committed a mistake writing the equation, otherwise, the given options would not fit, the expression is:

$p(t)=5x^{4}-3x^{3}+2x^{2}+24$

Now, from the statement we know that the function represents how much money each girl spent, so, if we need to calculate how much money they will spend together, we need to multiply the expression by 2, so we have:

$p(t)=2(5x^{4}-3x^{3}+2x^{2}+24)$