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damaskus [11]
3 years ago
13

Please answer this in two minutes

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

tan(X) = 1.05

Step-by-step explanation:

The triangles WXY and VTU are similar using the case AA (angle-angle).

The angle X is equal the angle T, therefore they have the same tangent value.

The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:

tan(T) = UV / UT

tan(T) = 21 / 20 = 1.05

tan(X) = tan(T) = 1.05

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Solve for x in the hanger below
Eva8 [605]

Answer:

x=3

Step-by-step explanation:

5 0
2 years ago
Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o
Juliette [100K]

Answer:

95% Confidence interval:  (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)

(31.32%,47.04%)  is the required 95% confidence interval.

8 0
3 years ago
The sum of three consecutive even integers is 36. Let x represent the first integer, x + 2 represent the second integer, and x +
nikitadnepr [17]
To start this, try to place it all together.

(x)+(x+2)+(x+4)=36

Then you start to combine so that it looks like this:

3x+6=36

I believe that is one of the choices. Do you need more explanation? 
3 0
3 years ago
Read 2 more answers
Can you please help me ​
sergiy2304 [10]

Answer:

  x = 23

Step-by-step explanation:

The marked angles are "corresponding," hence congruent:

  8x -27 = 7x -4

  x = 23 . . . . . . . . . add 27-7x to both sides

5 0
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OLEGan [10]

Answer:

3.636 hour. dividing 200miles /55m/h =3.636h

3 0
2 years ago
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