Answer:
13 units
Step-by-step explanation:
Distance formula: 
Simply plug in your variables




d = 13
y=70(vertically opposite angle)
70+50+X =180 (sum of angles in triangles)
120+x=180
X=60 //
Answer: You need to wait at least 6.4 hours to eat the ribs.
t ≥ 6.4 hours.
Step-by-step explanation:
The initial temperature is 40°F, and it increases by 25% each hour.
This means that during hour 0 the temperature is 40° F
after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:
T = 40° F + 0.25*40° F = 1.25*40° F
after another hour we have another increase of 25%, the temperature now is:
T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2
Now, we can model the temperature at the hour h as:
T(h) = (40°f)*1.25^h
now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.
So we have:
(40°f)*1.25^h = 165° F
1.25^h = 165/40 = 4.125
h = ln(4.125)/ln(1.25) = 6.4 hours.
then the inequality is:
t ≥ 6.4 hours.
Answer:
- The cabinets have the same base area.
- The cabinets may have the same base dimensions.
- The cabinets may have different base dimensions.
Step-by-step explanation:
The volume of a prism is the product of its base area and height. It doesn't matter whether the prism is right or oblique, and the shape of the base is immaterial.
Both the given prisms have the same volume and height, so their base areas must be the same. The dimensions of the base may be the same, but do not have to be the same.
Answer:
Step-by-step explanation:
D