Answer:
A. △ABC ~ △DEC
B. ∠B ≅ ∠E
D. 3DE = 2AB
Step-by-step explanation:
Transformation involves the reshaping or resizing of a given figure. The types are: reflection, dilation, rotation and translation.
In the given question, the two operations performed on triangle ABC are reflection and dilation to form triangle DEC. The length of each side of triangle DEC is two-third of that of ABC. Therefore, the correct statements about the two triangles are:
i. △ABC ~ △DEC
ii. ∠B ≅ ∠E
iii. 3DE = 2AB
Answer:
6cm
Step-by-step explanation:
Area of a square =
Where s = one side
s = ?
Square root both sides
Answer:option D is correct Log(1/3)
Step-by-step explanation:
Log2-Log6
Log(2/6)
Log(1/3)
95% C.I. = mean + or - 1.96(standard deviation / sqrt(sample size))
95% C.I. = 57 + or - 1.96(3.5/sqrt(40) = 57 + or - 1.085 = 57 - 1.085 to 57 + 1.085 = 55.92 to 58.09
Therefore, 95% of the mean will occur in the interval 55.92 to 58.09
Answer:
The Question is incomplete, here is the complete Question:
Think of the letter X as four vectors starting from the center
and pointing outward. Label the four vectors starting from the
top left and proceeding clockwise as U, V, W, Z.
- Does U x V point in or out of the page? (in/out)____
- Does U x Z point in or out of the page? (in/out)____
- Compute U x W= <___,___,___>
<u>ANSWERS</u>
- The Cross Product of U x V points inwards the page.
- The Cross Product of U x Z points outwards the page.
- U x W = <u>< 0, 0, 0 ></u>
<u></u>
Step-by-step explanation:
<h2>CROSS PRODUCT:</h2>
When we talk about vectors then we have the cross product of two vectors which is defined as the product of the magnitude of the two vectors and the sine of angle between them.
Mathematically,
|a|.|b|. sin∅
Thus when a and b are two non-zero vectors, then a x b = 0, if and only if a and b are parallel to each other. In order to find the direction of any two vectors we use the right hand rule and according to that we can predict the direction of the cross product of the two vectors whether they are inwards or outwards.
In this case for part (1) both the vectors are acting inwards as they are in same direction, in part (2) they are opposite in direction so it is acting outwards and in part(3) the cross product will be 0 for all the three planes as they both are parallel to each other.
