Answer:
The mass of the bag of sand must be equal to 
Step-by-step explanation:
<u><em>The complete question is</em></u>
In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platform on which the statue is placed is designed to detect the mass of the statue. If the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.
The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as a cylinder with height 25 cm and radius 8 cm.
In terms of pi, what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?
step 1
Find the volume of the gold statue
The volume of a cylinder is equal to

substitute the given values


step 2
Find the mass of gold
Remember that the mass is equal to multiply the density by the volume
so

step 3
what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?
we know that
The mass of the bah of sand must be equal to the mass of the statue
therefore
The mass of the bag of sand must be equal to

That's the simplest lololol
Answer:
5c + 3(8 - c) = 36
Step-by-step explanation:
A restaurant freezes a cherry and lime juice mixture to create slashes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice.
Therefore, if there are c quart of cherry juice, then the number of lime juice is (8 - c) quart as the total number of quarts is 8.
Now, the total cost is $36 and therefore, we can write the equation to find the number of quarts of cherry juice is
5c + 3(8 - c) = 36 (Answer)
Answer:
x=0
Step-by-step explanation:
The line is perpendicular to y axis and passes through origin. Thus it's x=0
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6) The graph in the attached figure
Step-by-step explanation:
Part 1) we have


The equation of the line into point slope form is equal to

substitute



Part 2) we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so

the slope of the line 1 is equal to

Find the slope m2


Find the equation of the line 2
we have


The equation of the line into point slope form is equal to

substitute



Part 3) we have

The equation of the line into point slope form is equal to

substitute



Part 4) we have

-----> y-intercept
we know that
The equation of the line into slope intercept form is equal to

substitute the values

Part 5) we have that
The slope of the line 4 is equal to 
so
the slope of the line perpendicular to the line 4 is equal to

therefore
in this problem we have


The equation of the line into point slope form is equal to

substitute



Part 6)
using a graphing tool
see the attached figure