Answer:
Step-by-step explanation:
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What shape is the cross section formed by the intersection of a cone and a plane parallel to the base of the cone?
1 answer:
<h2>Answer:</h2>
A circle
<h2>Step-by-step explanation:</h2>The representation of this problem is shown below. The cross-section is the name for a slice that cuts through a solid. If we move around the height of the cone through its volume, we will find that at every point the cross section will be a circle. The radius of that circle will depend on the point we are on. On the base of the cone, the circle will have the same radius of the cone and the radius will be decreasing when moving until we get to the apex.
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Answer:
The lemonade costs 1.4.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the cost of a cookie.
y is the cost of a lemonade.
Total cost for cookie and lemonade is 1.80.
This means that .
As we want y, we have that
Lemonade costs 1.00 more than the cookie?
This means that:
So
The lemonade costs 1.4.
Given:
John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.
Total interest in one year = $1230
To find:
The rates of the investments.
Solution:
Let x% be the rate of interest on investment $5000.
Then, (x+4)% is the rate of interest on investment $8000.
Total interest is $1230. So,
Divide both sides by 130.
Now,
Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.