Answer:
2412 mm³
Step-by-step explanation:
In the figure attached, the composite figure is shown.
Dimension of top rectangular prism:
Volume of top rectangular prism: length*width*height = 13*12*12 = 1872 mm³
Dimension of bottom rectangular prism:
Volume of bottom rectangular prism: length*width*height = 15*12*3 = 540 mm³
Volume of the composite figure: 1872 + 540 = 2412 mm³
Answer:
Standard deviation of given data = 3.16227
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given sample size 'n' = 5
Given data 4, 6,8,10,12

Mean of the sample x⁻ = 8
Standard deviation of the sample

<u><em>Step(ii)</em></u>:-
Given data
x : 4 6 8 10 12
x-x⁻ : 4 - 8 6-8 8-8 10-8 12-8
(x-x⁻) : -4 -2 0 2 4
(x-x⁻)² : 16 4 0 4 16

S.D = √10 = 3.16227
<u><em> Final answer</em></u>:-
The standard deviation = 3.16227
Answer: SAS similarity postulate
Step-by-step explanation:
According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.
In triangles, QNR and MNP,



Also,
(Reflexive)
Thus, By SAS similarity postulate,

⇒ Option first is correct.
Answer: X= 16
Step-by-step explanation:
Answer:
x=38wh + 16
Step-by-step explanation:
multiply both sides of the equation by 2
move the constant to the right
find the final solution