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dedylja [7]
3 years ago
5

Kayla walked 4 kilometers due east before turning left and walking 2.5 kilometers due north. She turned again and returned to he

r starting point by walking a straight path. What was the angle of the last turn? Round to the nearest degree.
Mathematics
1 answer:
tatiyna3 years ago
8 0
<span>Kayla walks a path with a triangle shape with three corners, starting point A, point where turns north, B, and point where head towards start, C. The question is calculate the angle in the point C, knowing that A-B distance is 4 km and B-C is 2.5 To do this calculation we are going to use the trigonometry function tangent: tangent C = opposite/adjacent = 4/2.5 = 1.6 Then C angles is: C = arctan (1.6) = 57.99Âş So the solution is round to 58Âş</span>
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The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2
Darina [25.2K]

Answer:

a) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 0 are x_{1}\approx -0.25 and x_{2} \approx 1.25.

b) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 2 are x_{1}\approx -0.5 and x_{2} \approx 1.5

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial y = 4\cdot x^{2}-4\cdot x -1, where x is related to the horizontal axis of the Cartesian plane, whereas y is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) 4\cdot x^{2}-4\cdot x -1 = 0

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.25, x_{2} \approx 1.25

b) 4\cdot x^{2}-4\cdot x -1 = 2

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.5, x_{2} \approx 1.5

5 0
3 years ago
In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m
elixir [45]

Answer:

<u><em>Measure of angle A is 27 7/9 degrees.</em></u>

Step-by-step explanation:

Lets call measure of angle A is <em><u>X-10</u></em>

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0
3 years ago
What is 5 x 5 in expanded form<br>​
NikAS [45]

Answer:

5×10°

Hope this helped you!!!

3 0
4 years ago
Pls help with this ile give brainlist who ever answers first
katrin [286]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which ordered pair (p,r) is the solution to the given system of linear equations?
Misha Larkins [42]

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

8 0
3 years ago
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