Answer:
36
Step-by-step explanation:
a² + b² = c²
a² + 77² = 85²
a² + 5929 = 7225
a² = 1296
a = 36
9514 1404 393
Answer:
8x +36 = 15
Step-by-step explanation:
The fractions can be made to disappear by multiplying the equation by their least common denominator. That number is 18.
18(4/9x +2) = 18(5/6)
8x +36 = 15
__
The solution is x = -21/8.
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)
Answer:
a) 1 in : 6 in
b) P=32 inches
A =60 inches ^2
c) P= 16 ft
A = 15 ft ^2
Step-by-step explanation:
The drawing is 6 inches tall, while the real flag is 3 ft tall
Change ft to inches
3 ft * 12 inches/1ft = 36 inches
drawing : real life
6 36
Divide each by 6
1 6
The scale is 1 to 6
So for every 1 inch on the drawing, there is 6 inches in real life
b) P= 2(l+w) = 2(10+6) = 2(16) = 32 inches
A = l*w = 10*6 =60 inches ^2
C)
The drawing is 10 inches by 6 inches
Multiply by the scale factor of 6
Real life is 60 inches by 36 inches
Divide by 12 to get back to ft
5ft by 3 ft
P= 2(l+w) = 2(5+3) = 2(8) = 16 ft
A = l*w = 5*3 =15 ft ^2
Answer:
Perimeter of the rectangle is 29x + 1 feet
Step-by-step explanation:
Length of the rectangle = 9.5x + 10 feet
Width of the rectangle = 5x - 9.5 feet
perimeter of rectangle = 2 ( length + width )
perimeter = 2 { (9.5x + 10) + (5x-9.5) }
perimeter = 2 ( 9.5x + 5x + 10 - 9.5 )
perimeter = 2 (14.5x + 0.5)
perimeter =29x + 1 feet
