Here we have some problems about circles, the solutions are:
- a) 490.6 yd^2
- b) x = 15
- c) x = 27
<h3>
How to find the area of a circle?</h3>
We know that for a circle of diameter D, the area is given by:
A = pi*(D/2)^2
where pi = 3.14
In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:
A = 3.14*(25yd/2)^2 = 490.6 yd^2
<h3>How to find the value of x?</h3>
<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:
180° = 37° + (9x + 8)°
180° - 37° - 8° = (9x)°
135°/9° = x = 15
So the value of x is 15.
For the last image:
Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>
270° = 54° + (2x + 21)° + (5x + 6)°
Now we solve this for x:
270 - 54 - 21 - 6 = 2x + 5x
189 = 7x
189/7 = x = 27
x is equal to 27
If you want to learn more about circles, you can read:
brainly.com/question/25306774
Answer:
I think it is 300.
Step-by-step explanation:
Answer:
Step-by-step explanation:
ΔADE & ΔABC are similar triangles.
Cross multiply,
12*x = 12*4
x = 4
Answer:
Hypothesis
Null hypothesis:
Alternative hypothesis:
Statistic
P value
The degrees of freedom are given by:
And the p value would be given by:
Conclusion
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 3.5
Step-by-step explanation:
Information given
represent the sample mean
represent the sample deviation
sample size
represent the value to test
t would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true mean is equal to 3.5, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Statistic
The statistic would be given by:
(1)
Replacing we got:
P value
The degrees of freedom are given by:
And the p value would be given by:
Conclusion
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 3.5