Let us assume then that the center is the origin. If the major axis is 18, then a = 9 and a^2=81. If the minor axis is 16, then b = 8 and b^2=64. Now you can write the equation. Remember that this ellipse is vertical and so a^2 goes under y^2
To find the percent of the total that George collected, you need to create a ratio with the number of pounds George collected compared to the number of total pounds that were collected.
You will then divide these to find the part (decimal) that George collected. You can convert the decimal to a percent.
3 1/4+6 1/3+11 1/6 = 20 3/4 total pounds of cans.
11 1/6 George
20 3/4 total
11 1/6÷20 3/4 = 0.538
0.538 is approximately 54%.
George collected proximately 54% of the total amount of cans.
Answer:
D
Step-by-step explanation:
Answer:
OG = 8.7
Step-by-step explanation:
The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.
The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.
OG² = OH² +GH²
OG² = 6² +6.3² = 75.69
OG = √75.69 = 8.7
The length of OG is 8.7 units.
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<em>Additional comment</em>
You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).
Answer:
market
Step-by-step explanation:
<u>Market</u>
1 dozen bagels = 12 bagels
⇒ Cost per bagel = $7.00 ÷ 12 = $0.58 (nearest cent)
<u>Bagel shop</u>
Cost per bagel = $0.60
As $0.58 < $0.60 the market is a better buy
