for the first question
he has a index card that is 3 inches wide and 5 inches long. in order to make it fifteen inches long he is going to increase it by a scale factor of 3
It will be 9 inches long
for the second question
it will be 12 inches long
Answer:
Step-by-step explanation:
step 1
Find the slope of segment HI
The formula to calculate the slope between two points is equal to
we have
H (-4,2), and I (2,4)
substitute the given points
simplify
step 2
Find the slope of the perpendicular line to segment HI
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
we have
so
step 3
Find the midpoint segment HI
we know that
The formula to calculate the midpoint between two points is equal to
we have
H (-4,2), and I (2,4)
substitute
step 4
we know that
The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI
Find the equation of the perpendicular bisector of HI in point slope form
we have
substitute
step 5
Convert to slope intercept form
Isolate the variable y
step 6
Convert to standard form
where
A is a positive integer
B and C are integers
Adds 3x both sides
see the attached figure to better understand the problem
Answer- 971.76 yd^3 (btw I used pi not 3.14)
Explanation:
Solve for the volume of the cone
V=pi*r^2*h/3
V=pi*10^2*22/3
V= 2408.55
Next solve for the volume of the sphere
V=4/3*pi*r^3
V=4/3*pi*7^3
V=1436.76
The last step it to subtract the volume of the sphere from the volume of the cone
2408.55-1436.76=971.76
Answer:
The answers 4 quarts.
Step-by-step explanation:
5-1=4 or you can add 4+1=5.
Answer:
Step-by-step explanation: