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aivan3 [116]
3 years ago
8

One more repair is needed to get the ferris wheel up and running! This one will require a cable to connect chair L to the ground

, and then continue back to chair J (as pictured). In the image, this is represented by the blue line. What is the angle that is formed by the cable at the ground?

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

<h2>15°</h2>

Step-by-step explanation:

We know that the central angle of a circle is 360°.

In this case, we have the circle divided into 12 equal parts, so each angle would be also the 12th part of 360°.

\theta = \frac{360\° }{12}= 30\°

Each circular sector has an angle of 30°, and each arc is equal to 30°.

Now, notice that tha angle formed by the two blue cables is an external angle formed by two secants, that means we can use the following relation

\alpha = \frac{1}{2}(60\° - 30\°)

Where \alpha is the angle formed by the two blue cables.

\alpha = \frac{1}{2}(30\°)=15\°

Therefore, the angle measures 15°.

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A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s
Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

H_o: \mu = 178

Alternative hypothesis:

H_1: \mu \neq 178

The t-test statistics is determined by using the formula:

t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}

t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}

t = \dfrac{-0.5}{\dfrac{2}{5}}}

\mathbf{t= -1.25}

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value  = 2.064

Decision rule: To reject the null hypothesis if the test statistics  is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that  the difference exists due to chance since the test statistic is small

5 0
3 years ago
For the given expression, which whole number (w) will make the expression true? 5/6
Sonja [21]

Answer:

D. 7

Step-by-step explanation:

The question is incomplete. Here is a possible complete question

For the given expression, which whole number (w) will make the expression true? 5/6 < w/6

A. 3

B. 4

C. 5

D. 7

Given the inequality expression:

5/6 < w/6

Cross multiply

5×6 < 6×w

30<6w

Divide both sides by 6

30/6 = 6w/6

5<w

Reciprocate both sides(this will change the sense of the inequality)

1/5>1/w

Cross multiply

w > 5×1

w>5

This shows that the value of w is a value greater than 5 but not 5. According to the option, the only value greater than 5 is 7. Hence the whole number (w) that will make the expression true is 7

7 0
3 years ago
If you were solving a system of equations and you came to a statement like 4 = 4, what do you know about the solution to the sys
k0ka [10]
There are infinitely many solutions
4 0
4 years ago
Read 2 more answers
What is the equation of the line that has a slope of 4 and passes through the point (3, -10?
irga5000 [103]
Hello 
the equation is y = ax+b
a the slop    a = 4
y = 4x+b
the line <span>passes through (3, -10) :  -10 = 6(3)+b
b = -28
</span>the equation is y = 6x-28
3 0
3 years ago
The main sail of a sailboat has the dimensions shown in the figure at the right. What is the height of the main sail?
levacccp [35]

Answer:

h = 16.1

Step-by-step explanation:

sin A /a = sin B / b = sin C/c   where A is angle and a is side opposite of angle

sin (49) / h = sin(41)/ 14       cross-multiply

h*sin(41) = 14 * sin(49)

h = (14*sin(49))/ sin(41)

h = 16.1

5 0
2 years ago
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