Answer:
I think it's C.
Step-by-step explanation:
A. and D. don't make any sense so I assume they're incorrect. B. just seems wrong also by a small margin.
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
To find the total of 3/4 and 4/5 is to add them together. However, in order to add them together you need to find the least common denominator (LCD). And the LCD of both denominators would be 20, because that is the smallest number both 4 and 5 can divide into. And here is the tricky part, now you have to change the numerators. So since 3/4th's now has a denominator of 20 you have to make the 3 match the 20. So 4 times what it 20? It is 5. So now multiply 5 by three and that will give you 15/20, which can reduce to 3/4 which means that you did this correctly! Now repeat the same steps with 4/5:
4/5=4/20
20÷5=4
4•4=16
16/20 (16/20 can reduce to 4/5 which means you did this correctly.
Now to add them keep the denominators the same and only add the numerators:
15/20 + 16/20 = 31/20
Now this as a mixed number would be 1 11/20. I hope this was helpful!
Answer:
Unit price of strawberries at Grocery Mart is $ 1.495 or 150 pennies
Unit price of strawberries at Baldwin Hills Market is $ 1.33 or 133 pennies.
Step-by-step explanation:
1 dollar = 100 pennies
Given:
Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99
Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99
∵ Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99
∴ Cost of 1 pound of strawberries at Grocery Mart = 
∵ Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99
Cost of 1 pound of strawberries at Baldwin Hills Market = 
Therefore, the unit price of strawberries at each grocery store is the cost of 1 pound of strawberries. So, unit rate at Grocery Mart is 150 pennies and at Baldwin Hills Market is 133 pennies.
Hello!
Let O be the center of the sphere, A the tangency point and B the location of the satellite.
m<ABO = 1/2m(b) = 1/2 * 138 = 69
m<OAB = 90
m<AOB = 180 - 90 - 69 = 21
21 * 2 = 42
The answer is 42°
Hope this helps!
