Answer:
-1/ 4
Step-by-step explanation:
y = 4x-3 has a slope of 4 because the equation is in slope intercept form
y = mx+b where the slope is m
Perpendicular lines have slopes that are negative reciprocals
-1/ 4 is the slope of a line that is perpendicular to y = 4x-3
Answer:
if this is what you are asking... all you have to do is post those exact coordinates on the graph. :)
Step-by-step explanation:
Hello!
For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.
This means that to find 
, we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.
This means that 9 should also be the side length of side AD, which we're given a value of 
.
Solve.
Hope this helps!
Answer:
actual rate of interest is 2.08 %
Step-by-step explanation:
Given data
borrowed = $2100
time = 15 months
rate = 2.6%
to find out
interest and receive from the bank and actual rate of interest
solution
we know bank discounted the loan at 2.6%
so interest will be 2.6% of $2100
that is = 2.6/100 × 2100
interest = $54.60
so receive from the bank is borrowed money - interest
receive = 2100 - 54.60
receive from the bank is $2045.40
and we can say that interest is directly proportional to time
so interest of 12 months / interest of 15 month = 12 month time/ 15 month time
here interest of 12 months = 12/15 × interest of 15 month
interest of 12 months = 12/15 × 54.60
interest of 12 months is $43.68 (annually)
now we can calculate actual rate of interest
that is = interest / borrowed money × 100
actual rate of interest = 43.68/2100 × 100
actual rate of interest is 2.08 %
Answer:
Step-by-step explanation:
Since each tank is cylindrical, we would apply the formula for determining the total surface area of a cylinder which is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the height of the cylinder.
h represents the height of the cylinder.
π = 3.14
From the information given,
Height = 1.9
Diameter = 1.4
Radius = diameter/2 = 1.4/2 = 0.7
Total surface area = 2 × 3.14 × 0.7² + 2 × 3.14 × 0.7 × 1.9 = 3.0772 + 8.3524 = 11.4296 m²
Total surface area of the 3 cylinders = 11.4296 × 3 = 34.29 m²
Since a tin of paint covers 5 m², the number of tins paints that Tim will need to buy is
34.29/5 = 6.858
Since the tins of paint must be whole numbers, he needs to buy 7 tins of paints.
