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natka813 [3]
3 years ago
13

A car travels 1.9 miles from Point A to Point B. The car then turns at Point B and travels 1 mile to Point C, before heading bac

k to Point A. The distance from Point C to Point A is 1.4 miles. If the car's path is represented by a triangle, what degree of turn did the car make, at Point B?
Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0
If you represent the problem in a diagram, you will form a triangle with 3 known length of the sides. When you are given all sides, and you are asked to find an angle, you can use the cosine law.

b^2 = a^2 + c^2 - 2ac*cosB
1.4^2 = 1.9^2 + 1^2 - 2(1.9*1)(cosB)
B = 45.78°


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How would you find four points using an equation?<br><br> Use this as an example...<br> y = 40x + 30
Artemon [7]
Plug in random values for x and find y value

assume x = 10 then y = 430

Express as ordered pair:(10,430)
8 0
3 years ago
What is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)?
spayn [35]

Answer: 6,8 and 10

Step-by-step explanation:

To find the length , all we need to find is the distance between each point ,

the formula for calculating distance between two points is given by :

D = \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}

Let the points be :

A ( -5,-1)

B(-5,5)

C(3,-1)

Calculating the length AB , we have

D1 = \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}

D1 = \sqrt{(-5+5)^{2}+(5+1)^{2}}

D1 = \sqrt{36}

D1= 6

Calculating the length AC , we have

D2 = \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}

D2 = \sqrt{(3+5)^{2}+(-1+1)^{2}}

D2 = \sqrt{64}

D2 = 8

Calculating the length BC , we have

D3 = \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}

D3 = \sqrt{(3+5)^{2}+(-1-5)^{2}}

D3 = \sqrt{100}

D3 = 10

Therefore ,the length of the sides of the triangle are 6,8 and 10

3 0
3 years ago
Slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to c
Vitek1552 [10]

Answer:

0.9953, 3.3629<x<4.0371

Step-by-step explanation:

Given that slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to complete the form is normally distributed witha standard devait of the 30 minutes:

If X represents the time to complete then

X is N(3.7, 0.5) (we convert into uniform units in hours)

a) percent of people would you expect to complete the form in less than 5 hours

=100*P(x

b) P(b<x<c) = 0.50

we find that here

c = 4.0371 and

b = 3.3629

Interval would be

(3.3629, 4.0371)

6 0
3 years ago
If K is the midpoint of JL, JK = 8x+11 and KL = 14x-1, find JL.
gladu [14]

Step-by-step explanation:

Since, K is the midpoint of JL.

\therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\  \frac{12}{6}  = x \\ 2 = x \\  \\  \because \: JL = JK + KL \\   \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\  \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\  \therefore \:JL = 44 + 10 \\  \huge \red{ \boxed{\therefore \:JL = 54}}

7 0
3 years ago
Read 2 more answers
I’m confused. Can you help
labwork [276]

Answer:

Y=66

X=40

Z=106

7 0
3 years ago
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