Answer:
<h2>4</h2>
Step-by-step explanation:
A complex number in its rectangular form is expressed as x+iy where x is the real part of the complex number and y is the imaginary because it is attached to the imaginary number i.
Given the complex number 4-5i, comparing the complex number with x+iy
4 = x and iy = -5i
Hence x = 4 and y = -5.
Since x is the real part of the complex number x+iy,<em> hence 4 will be the real part of the complex number 4-5i based on comparison. </em>
1 ft = 12 inches
6 ft = 72 inches (multiply both sides by 6)
6 ft + 2 inches = 72+2 = 74 inches
6 ft, 2 inches = 74 inches
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1 ft = 12 inches
2 ft = 24 inches
2 ft + 1 in = 24+1 = 25 inches
2 ft, 1 in = 25 inches
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1 ft = 12 inches
3 ft = 36 inches
3 ft + 7 in = 36+7 = 43 inches
3 ft, 7 in = 43 inches
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To rewrite the problem a bit in equivalent form, we have a man who is 74 inches cast a shadow that is 25 inches long. The tree has a shadow of 43 inches. We want to find the height of the tree, which for now we'll call x
(tree height)/(tree shadow) = (person height)/(person shadow)
x/43 = 74/25
25x = 43*74
25x = 3182
x = 3182/25
x = 127.28 inches
The tree is 127.28 inches tall which is the same as 10 ft, 7.28 inches
because 127/12 = 10 remainder 7, then we add on the 0.28 portion
<h2>Part a)</h2>
You can name planes by one letter or using three points belonging to it that are <u>not</u> on the same line.
Another name for plane X could be:
- Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.
<h2>Part b)</h2>
Coplanar means 'on the same plane'.
The points on the same plane as point A are:
<h2>Part c)</h2>
Collinear means 'on the same line'.
Other points on the same line as point C are:
<h2>Part d)</h2>
The line that intersects ED is:
- AC, it can be also named AB or BC.
S(10) = a + (n-1)d
34 = a + 9d ---- Eqn 1
Sum(20) = n/2(2a +(n-1)d)
710 = 20/2(2a + 19d) ----- Eqn 2
Solve these two equations and find the value of a and d and put the values in the first eqn (a + (n-1)d) to find the 25th term
*n = the term
*a = the starting number
*d = the difference in the series for each number
Answer
Front yard is 20 square root 5 back yard and height is 40 square root 5
Step-by-step explanation:
1. set up A=1/2 H(b1+b2)
2. 6000=1/2 2x (2x+x)
3. 12000=6x^2
4.2000 = x^2
5. x=20 square root 5
