Triangle
Area = 1/2 b * h
Area = 1/2*15 * 9 = 1/2 * 135 = 67.5
Rectangle
Area = b * h
Area = 15 * 4
Area = 60
Trapezoid
Area = (1/2) * (b1 + b2)* h
Area = (1/2) * (15 + 18) * 4
Area = 1/2 * 33 * 4
Area = 66
Total Area
Total Area = 66 + 60 + 67.5 = 193.5 Answer
The y-intercept is (0, -12).
Hope that helped. :)
It is triangle ACK by the rule of AAS.
Angle, Angle, Side
9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
Step-by-step explanation:
The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.
1. $6.00 to 95 cents:
This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00
Convert $6 .00 to cents to make both quantities be in the same unit.
$1 = 100 cents
$6.00 = 6*100 = 600 cents
\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)
2. 3 hours to 35 minutes:
Convert 3 hours to 35 mins
1 hr = 60 mins
3 hrs = 3*60 = 180 mins
180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)
3. 42 inches to 2 feet:
Convert 2 ft to inches
1 ft = 12 inches
2ft = 2*12 = 24 inches
42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75
