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Gemiola [76]
2 years ago
12

(50 points) What is the value of x in the triangle?

Mathematics
1 answer:
VashaNatasha [74]2 years ago
4 0

Answer:

x = 23.78 cm to the nearest hundredth

Step-by-step explanation:

In a right-angled triangle:

The opposite "O" is the opposite side to the angle

The adjacent  side "A" is adjacent side to the angle

The hypotenuse "H" is the long side that joins the 2 legs

For this triangle, we have:

angle = 18°

adjacent (A) = x

hypotensue (H) = 25

So we can use the trig formula:  cos(\theta)=\frac{A}{H}

Therefore,  cos(18)=\frac{x}{25}

Multiply both sides by 25:     25 cos(18) = x

Therefore, x = 23.77841291...

So x = 23.78 cm to the nearest hundredth

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0.5, 0.04, 0.133, 0.021
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3 years ago
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Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one mo
Ivenika [448]

Answer:

9/12 or 75%.

Step-by-step explanation:

Let's first add the choices all up.

5+4+3= 12.

We have 12 movie choices in total.

Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that.  We want the chance she will NOT choose drama, so that would be 9/12.

*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*

6 0
2 years ago
The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.
Free_Kalibri [48]

Answer:

1191.4 ; 34.5

Step-by-step explanation:

Given the data:

29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150

The sample variance and standard deviation can be obtained thus :

Σ(X - m)² / (n - 1)

Where, m = mean of the sample

n = sample size

The standard deviation equals, sqrt(variance )

Using a calculator:

The variance, σ² ;

Mean = Σx / n = 1681 / 20 = 84.05

(x -m)^2

[(29-84.05)^2 + (37-84.05)^2 + (38-84.05)^2 + (40-84.05)^2 + (58-84.05)^2 + (67-84.05)^2 + (68-84.05)^2 + (69-84.05)^2 + (76-84.05)^2 + (86-84.05)^2 + (87-84.05)^2 + (95-84.05)^2 + (96-84.05)^2 + (96-84.05)^2 + (99-84.05)^2 + (106-84.05)^2 + (112-84.05)^2 + (127-84.05)^2 + (145-84.05)^2 + (150-84.05)^2] / 19

22636.95 / 19

= 1191.4184 = 1191.42

Standard deviation = sqrt( Variance)

Standard deviation = sqrt(1191.4184)

Standard deviation = 34.516929 = 34.52

4 0
3 years ago
The sum of three numbers is 113 . The second number is 3 times the third. The first number is 7 less than the third . What are t
OLga [1]
Number 1 = 17
number 2 = 72
number 3 = 24


work:

the three numbers are symbolized as x, y, and z

x + y + z = 113

number 2 (y) is 3 times the third number (z) so 

y = 3z

so x + 3z + z = 113

the first number (x) is 7 less than than the third number (z) so

x = z - 7

so z -7 + 3z + z = 113

5z - 7 = 113
5z = 120

z = 24

x = 17
y = 72

Hope this helped :)
8 0
3 years ago
Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod
ICE Princess25 [194]

Answer:

Yes, the triangles are simirar with a scale factor of 3/2.

Step-by-step explanation:

We find the scale factor by dividing corresponding sides:

12/8=3/2

18/12=3/2

24/16=3/2

4 0
3 years ago
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