The correct answer is the last one, that the 3rd nap is the least consistent in duration because its standard deviation is the highest.
Standard deviation is a measure of variation from the mean; it tells how different values are from the mean. For that nap to have a higher standard deviation means that its values were on average more different from the mean than the others.
The length of each side of the kite is 4 cm, 3 cm.
Answer:
735 cm²
Step-by-step explanation:
The figure is a trapezium .The area of the triangle section can be calculated using the Heron's formula.
The other part of the figure will be a square of sides 21 cm by 21 cm
<u>Area of the square section</u>
Area = l²
Area = 21* 21 = 441 cm²
<u>Area of the triangle using Heron's formula</u>
Sides of the triangle are ;
a= 28 cm
c= 35 cm
b = 21 cm -----height of the trapezium
The Heron's formula is given as;
where s is half the perimeter of the triangle
Perimeter of the triangle is given as ;
P= 35 + 28 + 21 =84 cm
s= 84/2 = 42 cm
Total area = 294 + 441 = 735 cm²
Answer:
<em>m</em>∠1 = 58°
<em>m</em>∠2 = 58°
<em>m</em>∠3 = 72°
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180°. The vertical angles at Point Z are congruent and therefore their measures are equal.
Answer:
x=17
Step-by-step explanation:
Since these angles are supplementary, they will add up to 180 degrees, so you can set up the equation like this:
4x+8+104=180
First, combine like terms:
4x+(8+104)=180
4x+112=180
Next, subtract 112 from both sides:
4x+112(-112)=180(-112)
4x=68
Then, divide each side by 4:
4x(/4)=68(/4)
x=17
17 is your answer.
