Answer:
A dilation is a change in size of a shape
Step-by-step explanation:
to do a dilation you keep the angle measure of the angles of the shape the same while multiplying the length of the sides by the scale factor
Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:
The first one: 
is a geometric sequence of first term (
) "1" and common ratio (r) " 
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one: 
is a geometric sequence of first term "1", and common ratio (r) " 
". Again, since the common ratio is smaller than one, we can find its infinite sum:
now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
Cost Price for oil change =$27
Charge for the customers =$40
Markup cost = Difference between selling price and cost price =$40-$27=$13
To find the percent of markup, divide the markup cost by the cost price and multiply it by 100.
Markup percent = (13/27)*100
=48.15%
Ben's estimate gives 7 g of nickel; the actual amount is 8.03 g.
In 1 g of the substance, there is 0.52 g of copper and 0.25 g of zinc; this gives
0.52+0.25 = 0.77 g of the substance.
The remaining part of the substance is nickel:
1-0.77 = 0.23 g of nickel.
Using Ben's estimate, 0.2 g of nickel per gram of substance, we have
0.2(35) = 7 g of nickel in 35 g of the substance.
The actual amount is 0.23(35) = 8.03 g of nickel in 35 g of the substance.
Answer:
A. Cylinder, Shpere, Cone
Step-by-step explanation:
a cylander can be made by rotating a square.
for a sphere, a semi-circle.
for a cone, a right triangle.
hope this helped you
