Answer:
11/7 is the lowest the fraction can be reduced.
Step-by-step explanation:
Since the numerator and denominator don't have a common factor that they can be divided by, the fraction is already simplified.
Answer:
27 miles.
Step-by-step explanation:
Here I attach the draw of the coordinates.
Tony traveled 3 segments. The first was from (12,6) to (12, 15), where, leting 12 constant, he moved from 6 to 15 in the ordinates axis, which implies 9 units. This is the section 1 in the draw.
Then he moved from point B to C. If you notice, this distance is the hypotenuse on the the triangle DBC. We can find this value using Pitagoras' theorem:
DB^2 + CD^2 = CB^2
With DB=15 and CD=8 (12 minus 4 = 8)
15^2 + 8^2 = 289
So CB^2=289
Applying sqr root:
CB = 17
So, the second section has a measure of 17 units.
Finally, the 3rd section is the hypotenuse of the DAC triangle and we can use Pitagoras to solve it:
CD^2 + AD^2 = CA^2
8^2 + 6^2 = CA^2
64 + 36 = 100
So, CA=10
In the 3r section we traveled 10 units.
So, in total he traveled 10 + 17 + 9 = 36 units
As every unit is 0.75 miles he traveled 36*0.75 miles:
36*0.75 = 27 miles
He traveled in total 27 miles!!
Answer:
<h2>x = -9 and x = -10</h2>
Step-by-step explanation:


Answer:
- 278.4°F
Step-by-step explanation:
Temperature of Object ( T ) = 1200° F
Temperature of surrounding ( M ) = 80°F
Time ( t ) = 1 hour
dT / dt ∝ ( M - T )
dT /dt ∝ | ( 80 - 1200 ) |
dT / dt = k ( 1120 )
(1200 - 830 ) / 1 = k ( 1120 )
hence k = ( 1200 - 830 ) / 1120
= 370 / 1120 = 0.33
<u>what is the object's temperature (x )after 4 hours </u>
( 1200 - x ) / 4 = 0.33 ( 1120 )
( 1200 - x ) / 4 = 369.6
hence x = 1200 - ( 4 * 369.6 )
= - 278.4 ° F