A woman hikes 503 m, turns and jogs 415 m, turns again and runs 365 m returning to her starting point.

What is the area of the triangle
formed by her path?

Round to the nearest tenth. ​

Answers

Answer 1

Answer:

74594.2 m

Step-by-step explanation:

Heron's formula

area=sqrt(p(p-a)(p-b)(p-c)) where p=(a+b+c)/2

Answer 2

[tex]\sqrt{641.5(641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]The total amount of area of the triangle which she has covered is 74594.17.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Area of triangle = 1/2 ×base ×height.

Given that A woman hikes 503 m, turns and jogs 415 m, turns again, and runs 365 m returning to her starting point

so the triangle which is made by the woman(no matter what kind of triangle is) has a side as

A = 503m , B = 415m , C = 365m

Now S = (A + B + C)/2

S = (503 + 415 + 365)/2

S = 641.5

Now the area of a triangle is given by

Area = [tex]\sqrt{S(S - A)(S -B)(S - C)}[/tex]

Area = [tex]\sqrt{641.5 (641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]

Area = 74594.17 hence, the area of the triangle will be this.

For more information about triangle

https://brainly.com/question/2773823

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Related Questions

A painted water tower is shown. What percent of the surface area of the water tower (not including the surface underneath the tower) is green? Round your answer to the nearest tenth of a percent.

Answers

Answer:

43.6%

Step-by-step explanation:

curved surface area (green) is found by circumference multiply by height

[tex]\pi[/tex] x d x h = [tex]\pi[/tex] x (15 x 2) x 12 = 360[tex]\pi[/tex]

total surface area is

blue circle + total curved surface area (blue + green)

= [tex]\pi[/tex][tex]r^{2}[/tex] + 15(2)(8)[tex]\pi[/tex] + 360[tex]\pi[/tex]

= [tex]15^{2}[/tex][tex]\pi[/tex] + 240[tex]\pi[/tex] + 360[tex]\pi[/tex]

= 825[tex]\pi[/tex]

percentage = 360[tex]\pi[/tex]/825[tex]\pi[/tex] x 100%= 22/55 x 100% = 43.63

Graph the Inequality.

Answers

Answer:

x ≤ -7

Step-by-step explanation:

There is a filled in circle which means that it is either ≤ or ≥.

The graph is going to the left, which means it is ≤

The starting number is -7.

x ≤ -7

divide 405 in to the ratio 3:12
give answer in the form ... and ...

Answers

Answer:

81:324

Step-by-step explanation:

3+12=15

405 div 15 =27

3 times 27 = 81

12 times 27 = 324

81:324

the altitude of a right circular cone is 8cm and the radius of the base is 6cm what is its total surface area​

Answers

Answer:

301.44 cm ^ 2

Step-by-step explanation:

We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.

the area of the base, being a circle is pi * r ^ 2

the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l

the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:

l ^ 2 = 6 ^ 2 + 8 ^ 2

l ^ 2 = 100

l = 10

Therefore, we can replace:

A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6

A = 301.44

It means that the total surface area is 301.44 cm ^ 2

Question 2
Move point B some more. As you move point B, the angle formed between AB and CD varles. If you want to make AB perpendicular to CD
what do you need to do? Explain in terms of BEC

Answers

Answer: to make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90 degree

Step-by-step explanation:

please answer asap for brainliest

Answers

Answer:

5/8

Step-by-step explanation:

count the squares between one point to the other

Answer:

slope= 7/4

Step-by-step explanation:

It is better to find a couple of line points on the plane whose coordinates are easy to read. two such points are: (-1,-3) and (3, 4) (see attached image).

Then use the slope formula with them:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-3)}{3-(-1)} =\frac{7}{4}[/tex]

Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing mathematical reasons and providing examples that you create In order to receive full credit for this prompt, please answer the following questions: What it multiplicity? What does it tell us? Why must we take multiplicity into account when talking about the number of roots a polynomial has? What does multiplicity tell us about how the graph behaves at the roots?

Answers

Answer:

Step-by-step explanation:

The multiplicity of a root of a polynomial equation is the number of times it appears in the solution.

Multiplicity is important because it can tell us two things about the polynomial that we work on and how it is graphed. first: it tells us the number repeating factor a polynomial has to determine the number of the real (positive or negative) roots and complex roots of the polynomial.

About graph behaves at the roots : Behavior of a polynomial function near a multiple root

The root −4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.

2 Points
Which unit of measure would be appropriate for the volume of a sphere with a
radius of 2 meters?
A. Square meters
B. Centimeters
C. Meters
D. Cubic meters
SUBMIT

Answers

Answer:

D. Cubic meters

Explanation:

Anytime you see a question asking about volume, the units will always have cubic in it.

Answer:

D

Step-by-step explanation:

For the volume of a sphere with radius of 2 meters, Since here, the unit is "meters", so the volume of this sphere would be in cubic metres.

what is the slope of the line shown below?

Answers

Answer:

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-2)/(-1-2)

m=-6/-3

m=2

To which set of numbers does the number –5 belong? Select all that apply. integers natural numbers rational numbers real numbers whole number.

Answers

Answer:

integers

rational numbers

real numbers

Step-by-step explanation:

i answered the question:)

Using number sets, it is found that the number -5 belongs to these following sets:

Integer numbers.Rational numbers.Real numbers.

----------------------------------

Numbers are classified as:

Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}. This set is also called natural. Integer numbers: Number without decimals, that can be positive or negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.

----------------------------------

-5 is a negative number, so it is integer.All integers are rational and real, and thus, -5 is integer, rational and real.

A similar problem is given at https://brainly.com/question/10814303

At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?

Answers

Answer is 2 °C
-1 + 3 = 2


1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve?
Is there enough information to enable you to find a solution to your problem?

Answers

yes it is a good thing you have to do that and then go to pick it out

Corresponding angles form when a transversal intersects with two parallel lines.
True
False



Please help

Answers

Answer: True

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.

Hi can anyone please help me I really need help please help me

Answers

Answer:

3811.2 cubic cm

Step-by-step explanation:

Formula for sphere volume: 4/3πr^3 and since r=10, then plugging it in will be 1000*4/3π≈4188.79. The cube has side length 10*2=20 and has a volume of 20^3=8000. 8000-4188.79=3811.21≈3811.2

Bryan's monthly Netflix subscription costs $10. If he charges it
to his credit card each month for 5 months without making any
payments, what will his debt be?

Answers

Answer:

$50

Step-by-step explanation:

If he pays $10 every month, and he pays for 5 months, it would be 10 x 5, which means he would be $50 in debt.

What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot

Answers

Answer:

it's 10

Step-by-step explanation:

i searched it up.

root 3 cosec140° - sec140°=4
prove that

Answers

Answer:

Step-by-step explanation:

We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]

Proof:

From trigonometry identity;

[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]

[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]

From trigonometry, 2sinAcosA = Sin2A

[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

[tex]\frac{4(sin(420-140)) }{sin280}[/tex]

= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]

El resultado de la siguiente adición (- 6 x ᶺ 4 – 4 x ᶺ 3 + 7 x ᶺ 2 – 2 x) + (- 6 x ᶺ 3 + 4 x ᶺ 2 – 8 x + 10) es (Procedimiento)

Answers

- 6 x⁴ - 4 x³ + 7 x² - 2 x

+ .. . . - 6 x³ + 4 x² - 8 x + 10

------------------------------------------------------

-6 x⁴ -10 x³ + 11 x² -10 x + 10

Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work

Answers

Answer: 12i + 21

Step-by-step explanation:

You want to apply foil to the first two terms.

3 x 1 = 35i x 3 = 15i-4i x 1 = -4i-4i x 5i = -20i^2

You get 3 + 11i - 20i^2. i is equal to the square root of -1, so when you square it, you will get -1. Then do -1 x -20 to get +20

So far you have (11i + 23) - (-i + 2).

11i + i = 12i23 - 2 = 21

Im 99% sure the answer is 12i + 21

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)

A) 2x-3
B)3x-3
C)4x+1
D)2x-1

Answers

Answer:

C.

Step-by-step explanation:

Which of the following are accepted without proof in a logical system check all that apply

Answers

U might want to include the possible answers because there is no way we can answer this question without the possible answers.

Answer:

postulates, common notions, and axioms

Solve.
a + 1 = Vb + 1 for b.

Answers

Answer:

b = a² + 2a

Step-by-step explanation:

a + 1 = √(b + 1)

(a + 1)² = b + 1 (Square both sides)

a² + 2a + 1 = b + 1 (Expand left side)

a² + 2a = b (Subtract 1)

HELP MARK AS BRAINLIST

Answers

Answer: Area for trapezoid= 1/2(4+5×1)=4.5 m

Area of triangle= Iam not exactly sure

hope this helped you a bit

Step-by-step explanation:

Explain how to find the value of y that would make segment OP parallel to segment LN.

Answers

Answer:

[tex]y = 36[/tex]

Step-by-step explanation:

Given; the triangle above

Required

Find y

This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'

But first, it should be noted that triangle MOP is similar to triangle MLN

This implies that

Side MP is similar to MN

Side MO is similar to  ML

Mathematically; This can be represented as follows;

[tex]\frac{MP}{MN} = \frac{MO}{ML}[/tex]

Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14

Substitute these values in the above expression

[tex]\frac{y}{y+18} = \frac{28}{28+14}[/tex]

[tex]\frac{y}{y+18} = \frac{28}{42}[/tex]

Multiply both sides by 42

[tex]42 * \frac{y}{y+18} = \frac{28}{42} * 42[/tex]

[tex]\frac{42y}{y+18} = \frac{28*42}{42}[/tex]

[tex]\frac{42y}{y+18} = 28[/tex]

Multiply both sides by y + 18

[tex](y+18)*\frac{42y}{y+18} = 28 * (y+18)[/tex]

[tex]42y = 28 * (y+18)[/tex]

Open Bracket

[tex]42y = 28 * y+28 * 18[/tex]

[tex]42y = 28y+504[/tex]

Subtract 28y from both sides

[tex]42y - 28y = 28y - 28y +504[/tex]

[tex]14y = 504[/tex]

Divide both sides by 14

[tex]\frac{14y}{14} = \frac{504}{14}[/tex]

[tex]y = \frac{504}{14}[/tex]

[tex]y = 36[/tex]

Answer:

y= 36

Step-by-step explanation:

also ily, no homo

Cookies are rejected if they weigh more than 44 g or less than 36 g. How many cookies would you expect to be rejected in a sample of 10,000 cookies?

Answers

Answer:

its 456

Step-by-step explanation:

The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?


They can set up
_______ tables in 5 hours.

Answers

30 tables in 5 hours 6x5=30

Answer:

To find this out, you simply multiply 6x5 which is 30

factorize p^2+pq-pqr​

Answers

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2+pq-pqr​

Factor out a p

p(p+q-qr)

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2 +pq-pqr

= p(p+q-qr)

What is 2 with an exponent of -2 equal to?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

[tex] \boxed{\frac{1}{4} } [/tex]

Step-by-step explanation:

[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]

[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]

pls help i cant find​

Answers

Answer:

Let's see the first two points: (-7, 5) and (-5, 9)

The line passes these points has a form of: y = Mx + b

=> 5 = (-7)M + b

   9 = (-5)M + b

Subtract the 1st equation from 2nd equation, we have:

4 = 2M

=> M = 2

Substitute M back into 1st equation:

=> 5 = (-7)*2 + b

=> b = 19

=> y = 2x + 19

or y - 5 = 2x + 14

or y - 5 = 2(x + 7)

=> Option A is correct

Hope this helps!

:)

Answer:

A

Step-by-step explanation:

The difference between the values of y are constant, that is

17 - 13 = 13 - 9 = 9 - 5 = 4

This indicates the relationship is linear.

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table

m = [tex]\frac{9-5}{-5+7}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Use any ordered pair from the table for (a, b)

Using (a, b) = (- 7, 5), then

y - 5 = 2(x - (- (- 7)) , that is

y - 5 = 2(x + 7) → A

PLZ PLZ HELP QUICK PLZ PLZA
circle with radius of
3

cm
3cmstart color #1fab54, 3, start text, c, m, end text, end color #1fab54 sits inside a
8

cm
×
7

cm
8cm×7cmstart color #11accd, 8, start text, c, m, end text, times, 7, start text, c, m, end text, end color #11accd rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Answer:

27.73 cm^2

Step-by-step explanation:

Answer:

Guys its 27.73- Please trust me i have done this one on khan multiple times

Step-by-step explanation:

Please please please like my answer or vote one of my answers brainliest.

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