The area of the base of a cone is 16, and the height is 10. Find the area of a cross-section that is distance 5 from the vertex.
2 answers:
Answer: Area of cross section would be 4 square units.
Step-by-step explanation:
Since we have given that
Area of base of cone = 16 sq. units
Height = 10
We need to find the area of cross section that is distance 5 from the vertex.
So, Height of cross section = 5 units
total height of cone = 10
It means the cross section is half of the whole cone.
So, it becomes,
Hence, Area of cross section would be 4 square units.
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The required inequality is
<em><u>Solution:</u></em>
Given that,
Cost of 1 cap = $ 5
Cost of 1 t-shirt = $ 10
Let "x" be the number of caps sold
Let "y" be the number of t-shirts sold
The drama club needs to raise at least $500.00 for the trip
Based on this information, we can frame a inequality as:
number of caps sold x cost of 1 cap + number of shirts sold x cost of 1 shirt 500
Which means,
Here we used "greater than or equal to" symbol , because club needs to raise at least $ 500
They can raise 500 or more than $ 500 also
Thus the required inequality is
Answer:
B is correct.
Step-by-step explanation:
Compound Interest Formula:
Tasha invests in two ways
Case 1:
- Principal P=$5,000
- Rate of Interest r=0.06
- Time t=t
- n=1
Case 2:
- Principal P=$5,000
- Rate of Interest r=0.08
- Time t=1
- n=1
Total amount yield by Tasha =
Thomas Investment
- Principal P=$10,000
- Rate r= 0.07
- t=t
- n=1
Total amount yield by Thomas =
Now we make table for Tasha and Thomas different value of t
t Tasha Thomas
1 $10,700 $10,700
2 $11,450 $11,449
3 $12,254 $12,250
4 $13,115 $13,108
In table we can see Tasha investment will yield more from Thomas.
Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.