Answer:
side length of the square = 10 cm
Explanation:The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm
This means that the length of the side of the square is also 10 cm
Hope this helps :)
To the nearest ten, 829 would become <em><u>830</u></em> because the ones digit (9) is closer to 30 than it is to 20. So we would round up.
To round to the nearest hundred, we look at the tens and ones digit. 29 is less than 50 so we would have to round down to <em><u>800</u></em> instead of rounding up to 900.
Hope that helps :)
Answer:
s = 1
Step-by-step explanation:
4s + 6s - 4 = 6
10s - 4 = 6
+ 4 +4
10s = 10
10s/10=
s = 1
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
Answer:
99.7% of the sample proportions will fall between 0.133 and 0.307.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 0.22
Standard deviation = 0.029
99.7% of the sample proportions will fall within which of the following intervals?
Within 3 standard deviations of the mean.
Lower end: 0.22 - 3*0.029 = 0.133
Upper end: 0.22 + 3*0.029 = 0.307
99.7% of the sample proportions will fall between 0.133 and 0.307.
10 units right then 10 units down