Answer:
The volume of the larger solid is 
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar , then the ratio of its surface areas is equal to the scale factor squared
so
Let
z-------> the scale factor
x-------------> surface area larger solid
y-------------> surface area smaller solid
substitute
----> scale factor
step 2
Find the volume of the larger solid
we know that
If two figures are similar , then the ratio of its volumes is equal to the scale factor elevated to the cube
so
Let
z-------> the scale factor
x-------------> volume of the larger solid
y-------------> volume of the smaller solid
we have
substitute the values
Answer:
P (S∩E) = 0.1591
Step-by-step explanation:
Let the stockholders be donated by S then the P (s)= 0.43
Let the stockholders having some degree be donated by D then the P (d)= 0.75
Let the American having some college degree be donated by E then the
P (E)= 0.37
As the events are independent their joint probability can be found by multiplying the individual probabilities
P (S∩E) = P(s) . P (E)= 0.43 * 0.37= 0.1591
Answer:
1. x=±4
2. t=±9
3. r=±10
4. x=±12
5. s=±5
Step-by-step explanation:
1. x^2 = 16
Taking square root on both sides
x=±4
2. t^2=81
Taking square root on both sides
t=±9
3. r^2-100=0
r=±10
4. x²-144=0
x²=144
Taking square root on both sides
x=±12
5. 2s²=50
s=±5 ..
Answer: the hourly fee for the rototiller is $3
Step-by-step explanation:
Let h represent the hourly fee for renting the rototiller.
The rental company charged an initial fee of $43 with an additional fee per hour. Assuming that they rented the rototiller for x hours. This means that if they rented the rototiller for x hours, the total amount that they would pay is
43 + hx
If they paid $64 after renting the rototiller for 7 hours, the equation that models this problem would be
43 + 7h = 64
7h = 64 - 43 = 21
h = 21/7 = $3
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
f -----> the number of pounds of fertilizer
s ----> the number of pounds of seeds
we know that
The inequality that represent the situation is
using a graphing tool
see the attached figure
The solution is the triangular shaded area
