Answer:
x=24
Step-by-step explanation:
-5x+12x-8x=-24
Add like terms
12x-13x=-24
-x=-24
divide by 1
x=24
Answer:
a) 0.012ft³
b)2.09 lb
c)0.791 lb
d) 0.012ft³
e) 6 inches
Step-by-step explanation:
a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:

Where r is the inside radius and R the outer radius.

convert to cubic ft:

The volume of the glass shell is 0.012 ft³
b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

The weight of the jar is 2.09 lb
c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

0.791 lb of water will be displaced.
d) The volume of the water displaced is:
[tex]=0.791/62.5=0.01266
e) The jar will be fully submerged because the density of the jar is larger than water.
The awnser for question 5 is 4/6
Answer:
i. 30 degrees
ii. 30 degrees
Step-by-step explanation:
The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.
3y+4y+5y=360
y=30 degrees
The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!
Answer:
Change in height of the parasail after 5 minutes = 79.8 feet.
Explanation:
Change in height = Absolute value of the differences of the initial height and final height.
Initial height of parasail = 200.6 feet.
Final height parasail = 120.8 feet.
Change in height of the parasail = 200.6 - 120.8 = 79.8 feet.
Change in height of the parasail after 5 minutes = 79.8 feet.