Please help me with this Ps: no part b
2 answers:
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Answer:
56 number of Nectarines are needed
Step-by-step explanation:
Let number of Fruit-pie be x and number of nectarines be y.
Since the fruit pie recipe calls for twice as many peaches as nectarines.
then we have,
It is also given that total of 168 pieces fruit for all pies.
⇒
Substitute x=2y in above equation to solve for y:
or
3y=168
Divide both sides by 3, we get
Simplify:
y = 56
Therefore, 56 nectarines are needed.
Answer:
The ratio for the surface areas is equal to 4
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z -----> the scale factor
In this problem
The scale factor is equal to
----> the ratio of its corresponding radii or its corresponding altitudes
step 2
Find the ratio for the surface areas of the cones
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z -----> the scale factor
x ----> the surface area of the larger cone
y ----> the surface area of the smaller cone
we have
substitute
The ratio for the surface areas is equal to 4
That means-----> The surface area of the larger cone is 4 times the surface area of the smaller cone