See the attached figure to better understand the problem
we know that
1) First way to find the value of ain the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²--------> BC²=AC²-AB²-----> BC²=25²-15²-----> BC²=625-225
BC²=400--------> BC=20 units
a=BC
a=20 units
2) Second way to find the value of a
in the triangle ABD
AB²=AD²+BD²--------> BD²=AB²-AD²-----> BD²=15²-9²---> BD²=144
BD=12 units
in the triangle BDC
a=BC
BC²=BD²+DC²-----> 12²+16²----> 144+256------> BC²=400
BC=20 units
a=20 units
Answer:
<u>The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 30 square meters
2. Find the length and width if the length is 1.45 times the width.
Width of the rectangle = x
Length of the rectangle = 1.45x
Now substituting in the formula of the area of a rectangle, this way:
30 = x * 1.45x
30 = 1.45x²
x² = 30/1.45
x = √30/1.45
x = 10 √6/29 or 4.55 (Rounding to two decimal places)
1.45 x = 14.5 √6/29 or 6.6
<u>The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.</u>
Answer:
length = 194 (97+97)
Step-by-step explanation:
p= 312 width= 59
= 59×2-312
= 118 - 312
= 194
I'll assume the question is whether the tourists will all fit.
15 vans × 9 tourists each van = 135 tourists can fit so he needs another van or 5 of them have to hold on to the roof of the car
The sample standard deviation is (B) $3.16.
<h3>
What is the sample standard deviation?</h3>
- The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
- The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
- For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.
Therefore, the sample standard deviation is (B) $3.16.
Know more about sample standard deviation here:
brainly.com/question/475676
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The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?
A. $4.67
B. $3.16
C. $1.96
D. $10.00
