Answer:
It will take 8 minutes for the temperature to reach 76°
Step-by-step explanation:
The expression for the total temperature in degrees at time t can be written as;
T=I+EM
where;
T=total temperature
I=initial temperature
E=temperature increase per minute
M=number of minutes
This can also be written as;
total temperature=initial temperature+temperature increase per minute×number of minutes
In our case;
T=76°
I=40°
E=4.5°
M=m
replacing;
76=40+(4.5×m)
4.5 m=76-40=36
(4.5 m)/4.5=36/4.5
m=8
It will take 8 minutes for the temperature to reach 76°
Answer:
x=3
Step-by-step explanation:
Since both triangles are similiar, this means they can have different sized sides, but they are just scaled versions of each other. This also means that no matter what sides they have, their angles are going to be the exact same
Knowing this, it helps to draw them out side by side so you can match them up easier. Both of them have a 90 degree angle, and more specifically they are 45-45-90 triangles (45-45-90 is a special right triangle). You can point this out since they give us a 90 degree angle and two angles that are congruent in the same triangle. In order for that to work, they HAVE to be 45-45-90
With this, we can find out what x equals. Since the two angles markings line up with the two side angles in the other triangle, we know that they are equal to each other.
we can use the equation 15x = 45, since 45 is what the side angle should equal.
now, we just divide 45 by 15, and we should get 3
so x = 3!
I hope this helps :)
You would do 40/x=x/15, therefore you get x^2=600. to find x you find the square root of each side. Rounded to the nearest tenth, you get 24.5. If you put it in simplest radical form you should get 10 times the square root of 6
