Answer:
19
Step-by-step explanation:
1st you will use a^2+b^2=c^2
next you plug them in so it would be a^2+16^2=25^2
next you would solve it to a^2+256=625
then you would get 369 and square root it
and your answer will be 19.2.
Answer:
t=+4.06
Step-by-step explanation:
when the baseball hits the ground, the height will be 0.
h=0we are given that h=−16t2+64t+4.
this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.
since time cannot be negative, only the positive value can be taken.
this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.
Let , current age of Juan and Mary is x and y respectively.
Currently :
x = y + 6 ......( 1 )
Six years ago :
( x - 6 ) = 2( y - 6 )
x - 6 = 2y - 12
x = 2y - 6 ......( 2 )
Solving equation 1 and 2 :
y + 6 = 2y - 6
y = 12
x = 12 + 6 = 18
Therefore, the age of Juan and Mary is 18 and 12 respectively.
Hence, this is the required solution.
Answer:
The volume of the cylinder is 904.32 cm³
Step-by-step explanation:
Answer:
Step-by-step explanation:
An equation in standard form is:
Solving (a):
Given
--- slope
--- y intercept
Required: Determine the equation
An equation has the form:
Substitute values for m and b
Multiply through by 5
Add 3x to both sides
Solving (b):
Given
--- slope
--- y intercept
Required: Determine the equation
An equation has the form:
Substitute values for m and b
Multiply through by 3
Subtract 2x from both sides