Answer:
Step-by-step explanation:
<u>Equation of a circle</u>
where:
- (a, b) is the center
- r is the radius
From inspection of the diagram, the center of the circle <em>appears</em> to be at point (-3, 2), although this is not very clear. Therefore, a = -3 and b = 2.
Substitute these values into the general form of the equation of a circle:
Again, from inspection of the diagram, the <u>maximum vertical point</u> of the circle appears to be at y = 5. Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:
⇒ radius (r) = 5 - 2 = 3
Substitute the found value of r into the equation:
Therefore, the final equation of the given circle is:
Answer:
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Step-by-step explanation:
Given that:
Fee charged by Fun Reads Bookstore = $40
Charges per book = $5
Let x be the number of books.
A(x) = 5x+40
Fee charged by Cool Covers Bookstore = $100
Charges per book = $2
B(x) = 2x+100
For making Cool Cover Bookstores club a better deal,
B(x) > A(x)
2x+100 > 5x+40
2x-5x > 40-100
-3x > -60
Dividing both sides by -3
Hence,
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Answer:
8/9 of a cup
Step-by-step explanation:
8 cups of icecream to be divided among 9 people, so they can't have full cups.
Each person will get 8/9 of a cup
Answer:
51 square units
Step-by-step explanation:
Area of a parallelogram = base x height
⇒ area = 4 x 3 = 12 square units
Area of a rectangle = width x length
width = √(2² + 3²) = √13
length = √(9² + 6²) = √117
area = √13 x √117 = 39 square units
Total area = 12 + 39 = 51 square units
See the attached figure to better understand the problem
we know that
in the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²
<span>AC=8 cm
AB=apothem
BC=9.4/2-----> 4.7 cm
AB</span>²=AC²-BC²-----> 8²-4.7²-----> 64-22.09------> AB²=41.91
AB=√41.91-------> 6.47 cm---------> 6.5 cm
apothem=6.5 cm
the answer is6.5 cm
