Answer:
The specific weight is
Step-by-step explanation:
The question in English
A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed
step 1
Find the radius of the cone
we know that
The lateral area of a cone is equal to
we have
substitute the values
Simplify
step 2
Find the height of the cone
Applying the Pythagoras Theorem
substitute the values and solve for h
step 3
Find the volume of the cone
The volume of the cone is equal to
substitute the values
step 4
Find the specific weight
Divide the mass by the volume
<span>The number of x-intercepts that appear on the graph of the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)
Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0
Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2
(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2
(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
x+2-2=0-2→x=-2 Multiplicity 2
4x/15 = 60/x
4x^2 = 900
x^2 = 225
x = 15
Answer:
38 mpg
Step-by-step explanation:
Initial efficiency = 39 mpg
Initial speed = 40 mph
Final speed = 50 mph
The efficiency drop between 40 mph and 50 mph is given by:
The total efficiency drop from 40 to 50 mph is:
Therefore, the efficiency at 50 mph is:
Answer:
700,000
Step-by-step explanation:
okay so to increase something by 7% you have to multiply it by 1.07
so if you divide it by 1.07, you'll find the original price
749,000 ÷ 1.07 = 700,000