A bicycle race follows a triangular course. The 3 legs of the race are, in order, 2.3 km, 5.9 km, 6.2 km. Find the angle between the starting leg and the finishing leg, to the nearest degree.
How did you get the answer?

Answers

Answer 1

Answer:

About 71.77 degrees

Step-by-step explanation:

The starting leg is 2.3 km and the finishing leg is 6.2 km.

Using the law of cosines C^2 = A^2 + B^2 -2AB*cos(c) where A = 2.3 km, B = 6.2 km, C = 5.9 km, and angle c is the opposite angle to side C, we get:

5.9^2 = 2.3^2 + 6.2^2 -2(2.3)(6.2)*cos(c)

cos(c) = -(5.9^2 - 2.3^2 - 6.2^2)/(2*2.3*6.2)

c = 71.77 degrees

Answer 2

Answer:

72°

Step-by-step explanation:

when we have all the sides and need an angle, we use the law of cosine (the extended Pythagoras) :

c² = a² + b² - 2ab×cos(C)

where c is the side opposite of the angle C.

so, since the starting leg is 2.3 km, and the finishing leg is 6.2 km, we know that 5.9 km is the side opposite of the angle between the starting and finishing legs.

so, we have

5.9² = 2.3² + 6.2² - 2×2.3×6.2×cos(C)

34.81 = 5.29 + 38.44 - 28.52×cos(C)

-8.92 = -28.52×cos(C)

cos(C) = -8.92/-28.52 = 0.312762973...

C = 71.77418076...° ≈ 72°

Related Questions

graph the linear equation y = -6x - 5

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here’s my answer from desmos!

this was my answer from demos

.
Simplify the radical expression.

−4x2

2x2

−2x2

4x2

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2x^2 ( the second one ) :-)

A newspaper invited readers to call a telephone number and record their comments. The next day they reported that readers overwhelmingly prefer two-way traffic flow to one-way streets. This is an example of: A. A convenience sample B. A self-selected sample C. A systematic sample D. A random sample does anyone know the answer

Answers

Answer: Self selected sample

Step-by-step explanation:

They people chose themselves

This is an example of: B. A self-selected sample , Option B is the answer.

What is a self-selected sample ?

A self selected sampling technique is one in which the researcher puts out a call or publicises so that individuals and organisations can take part in the survey on their own will which saves the time for searching for the appropriate people .

It is given that

A newspaper invited readers to call a telephone number and record their comments.

This is an example of: B. A self-selected sample

Therefore Option B is the answer.

To know more about Self Selected Sample

https://brainly.com/question/27383518

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how muck is in kilograms?

Answers

Answer:

1000grams= 1 kilogram

Step-by-step explanation:

Answer:

1000 grams = 1 Kilo

this question is hard help..........

Answers

Answer:

sorry i dont know

Step-by-step explanation:

Answer:

.OOF Sorry im not good in math

1. Which of the following equations would NOT contain the point (4,12)?
A. y=-1/2x+14
B. y=1/2x+8
C.y=-2x+20
D.y=3/4x+9

Answers

Answer:

the answer is b hope this helps :)

Distance between (-1,-2) and (8,0)

Answers

Answer:

9.219544

Step-by-step explanation:

(8 - -1)^2 + (0 - -2)^2 = 85, sqrt 85 = 9.219544

Answer:

Step-by-step explanation:

Distance formula : d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((8-(-1))²+(0-(-2))²)

d=√((9)²+(2)²)

d=√(81+4)

d=√(85)

d = 9.21954445729

Im willing to give 20 points maybe even more

A teacher purchased 20 calculators and 10 measuring tapes for her class and paid $495. Later, she realized that she didn't order enough supplies. She placed another order of 8 of the same calculators and 1 more of the same measure tape and paid $178.50.

The system represents the situation

`20c+10m=495`

`8c+1m=178.50`

Find the cost of one calculator and the cost of one measure tape using one of our methods of solving systems.

Answers

Answer:

Equations are

20c + 10m = 495..............(1)

8c + 1m = 178.5.................(2)

Now , equation (2) * 10 = 80c + 10m = 1785...........(3)

So, Eq. (3) - Eq(1) =

80c + 10m - 20c - 10m = 1785 - 495

60c = 1290

c= 21.5

********************************************************

Now place the value of c in Eq (2)

So , m =6.5

Mark my answer as brainlist answer

Step-by-step explanation:

Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.

Part A
Write a function for the amount that will be in the account after t years.

Part B
What is the value of the account after 8 years?

Answers

a) The function is given as follows: [tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]

b) The value of the account after 8 years is given as follows: $7,384.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.

The parameter values for this problem are given as follows:

P = 5280, r = 0.042, n = 12.

Hence the equation is given as follows:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]

The value of the account after 8 years is obtained as follows:

[tex]A(8) = 5280\left(1 + \frac{0.042}{12}\right)^{12 \times 8}[/tex]

A(8) = $7,384.

More can be learned about compound interest at https://brainly.com/question/24274034

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HELP ASAP! EXPONENTIAL FUNCTIONS

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it is the yellow one

Mrs. Beppu's property has four sides. An aerial view of her property is shown below. What term best describes the shape of her property?

Answers

Answer:

rectangle

Step-by-step explanation:

From the picture attached below of the aerial view of Mrs. Beppu's house we can see that it is a rectangle. That is because it has 4 sides with only the parallels being the same size. Meaning that both the width and the length of the house are not the same. This removes the possibility of it being a square. Since all the angles seem to be right angles it also removes the possibility of it being a trapezoid. The best choice would be that it is a rectangle.

I NEED HELP ASAP WILL GIVE BRAINLYEST

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Answer:

-8

Step-by-step explanation:

First simplify the expression to -(2^5)^3/5. Then you get -2^3, which is simplified again to -8.

coat is 20% off. If the regular price of the coat is $225, what is the sale price of the coat?

Answers

Answer:

$180

Step-by-step explanation:

$225 times .20 = 45 . 225-45=180

Answer:

$180

Step-by-step explanation:

Find 1% of the price.

100% = 225

1% = 225 ÷ 100 = 2.25

100 - 20 = 80% (Percentage of sale price)

80% = 2.25 x 80 = 180

CAN SOMEONE HELP LIKE RN I NEED IT QUICK

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I’m pretty sure it’s 60

You get scores of 72 and 88 on 2 science tests. You have to have an average of at least 85 to not be grounded by your parents. What score do you need to make on your next test to not be grounded?

Answers

Answer:

Step-by-step explanation:

72+88+95=255:3= 85

Answer: 95
1. Add both test scores (72 & 88) together. You get 160
2. Then you divide 160 by 2. You get an average of 80.
3. When you add 72, 88, and 95 together you get 255.
4. You then divide 255 by 3
5. You get an average of 85

Vincent had 97 rocks in his collection. He found 48 more at the beach. How many did he have in all ?

Answers

Answer:

145

Step-by-step explanation:

97+48

7+8=15

9+4+1=14

145

Solve the inequality:

-15 + 5x > 25

Answers

Answer:

x > 8

Step-by-step explanation:

-15 + 5x > 25

Add 15 on both sides

5x > 40

x > 8

Answer:

here

Step-by-step explanation:

inequality form ---- x>8

interval form ----- (8,infinite)

A 45 ounce box of cereal costs $3.99. Find the unit price. Round your unit
price to the nearest cent if needed.

Answers

Answer:

0.1125 ounces per cent

Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5,6
C.3/16,9/48
D.6/15,4/10

Answers

Answer:

b is correct

Step-by-step explanation:

as 7/8 can't be further simplified and it is not making equivalent with 5/6

hope it helps you

please mark me as brainlist

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 8463160

Step-by-step explanation:

Answer:

8463160

Step-by-step explanation:

https://byjus.com/rounding-to-the-nearest-tenth-calculator/

Si 2X -7 = 3, luego 3X + 1 =

(1) 4
(2)5
(3)7
(4)12
(5)16

Answers

Answer:

2x-7=3

2x=3+7

{2x=10}÷2

x=5

꧁꧁꧂꧂

3x+1=

{3x=1}÷3

x=1/3

Find the area of the circle 18in

Answers

1017.88in^2

You need to use pi

Answer:

1017.88inches^2

Step-by-step explanation:

Area of a circle=pi * radius^2

324*pi=1017.88

Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for

Answers

Ans: 1205.76 units^3

Explanation:

Volume of cylinder

= base area x height

= 3.14 x 8² x 6

= 3.14 x 64 x 6

= 1205.76 units^3

In this question, I used 3.14 instead of π.

Base area = πr²

Hope it helps :), mark me brainliest please!

Please I need help with these questions its Algebra

Answers

1. 14/3

2. 9

4. 5

5. 15

(Sixth one is confusing sorry! But I hope you do well on it since I can't help you :|)

What is the domain of the function y = 2e graphed below?

Answers

Answer:

All Real Numbers

General Formulas and Concepts:

Algebra I

Interval NotationDomain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph and function y = 2eˣ, we see that our x-values span from negative infinity to positive infinity. We also see that we can plug in any number x into our function:

(-∞, ∞)

All Real Numbers

Answer: D) all real numbers

Step-by-step explanation:

Dont be shy- drop the answer :)

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Answer:

-11x = -55

x = 5

Step-by-step explanation:

Hope that helps!

Write your question here (Keep it simple and clear to get the best answer) simplify (3x-4y)(5x+2y)-(x+y)

Answers

Answer:

15x^2−14xy−8y^2−x−y

Step-by-step explanation:

Combine like units.

Answer:

hope it helped

have a good day

10 + 2.5x > 35 please help meeee

Answers

[tex]x > 10[/tex]

Step-by-step explanation:

1) Subtract 10 from both sides.

[tex]2.5x > 35 - 10[/tex]

2) Simplify 35 - 10 to 25.

[tex]2.5x > 25[/tex]

3) Divide both sides by 2.5.

[tex]x > \frac{25}{2.5} [/tex]

4) Simplify 25/2.5 to 10.

[tex]x > 10[/tex]

Therefor the answer is, x > 10.

59:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
39
15
36
Find tan A
a
5
tan A =
13
C.
5
tan A -
12
b.
13
d.
12
tan A =
tan A -
5

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Answer:

Step-by-step explanation:

What is an equation of the line that passes through the points (4,-4) and (-4,-4)

Answers

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

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A bicycle race follows a triangular course. The 3 legs of the race are, in order, 2.3 km, 5.9 km, 6.2 km. Find the angle between the starting leg and the finishing leg, to the nearest degree. How did you get the answer?

Answers

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A bicycle race follows a triangular course. The 3 legs of the race are, in order, 2.3 km, 5.9 km, 6.2 km. Find the angle between the starting leg and the finishing leg, to the nearest degree.
How did you get the answer?