Answer
r = -20
Step-by-step explanation
4r-8=5r+12
subtract 4r from both sides of the equation
-8=r+12
subtract 12 from both sides of the equation
-20 = r
14.87
Step-by-step explanation:
use the Pythagorean theorem
a^2+b^2=c^2
C being the longest side of the triangle
14^2+5^2=C^2
196+25=C^2
221=C^
find the square root of 221
C=14.866
rounded to nearest tenth
C=14.87
Answer:
31 , 59
Step-by-step explanation:
a = b +28
a + b = 90 {Complementary}
b + 28 + b = 90 {Combine like terms}
2b + 28 = 90 {Subtract 28 form both sides}
2b = 90 - 28
2b = 62 {Divide both sides by 2}
b = 62/2
b = 31
a = 31 + 28
a = 59
Answer:
centimeters
Step-by-step explanation:
The numerator of the conversion factor always has the "to" units. The denominator has the "from" units. That way, when you multiply, the "from" units cancel:
(xx <em>from</em>) · (yy <em>to</em>)/(zz <em>from</em>) = xx·yy/zz · (<em>from/from</em>) · <em>to</em> = xx·yy/zz · <em>to</em>
Here, you want to convert to centimeters, so centimeters will be the units in the numerator.
10 in · (2.54 cm)/(1 in) = 25.4 cm
_____
The conversion factor is always "1". That is, the numerator and denominator are always <u>equal</u> in value. Here, 2.54 cm = 1 in, so (2.54 cm)/(1 in) = 1. You can multiply by 1 anytime you like. For units conversion, it only has the effect of changing the units.
3 blocks east and 2 blocks north should be the correct answer :)
