Answer:
Step-by-step explanation:
The circular city park has a sidewalk directly through the middle that is 111 - feet long. This means that the diameter of the park is 111 feet.
The formula for determining the the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circular floor.
π is a constant whose value is 3.14
From the information given,
Diameter = 111 feet
Radius = diameter/2 = 111/2 = 55.5 feet.
Area of park = 3.14 × 55.5² = 9671.985 feet²
If each bag of fertilizer covers 50 square feet, then the number of bags needed is
9671.985/50 = 193.44 bags
Answer:
66.341 Feet
Step-by-step explanation:
length 819
width 818
(Length x width)
divide both by 100.5
819/100.5
818/100.5
8.14925373134
8.13930348259
round
8.15
8.14
length times width
8.15*8.14
66.341
Answer:
Distance covered by the bird before meeting the water is: 51.264 ft
Step-by-step explanation:
Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:
So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.
Such hypotenuse is (using Pythagoras theorem):
Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.
The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:
So we make the proportion between known legs, and hypotenuses:
Answer:
There are 30 different types of shampoo.
Step-by-step explanation:
Each shampoo has a color-code bottle, lid, and label print.
For bottles, there are five different colors, so there are five different possibilities.
For lids, there are three different colors, so there are three different possibilities.
And for labels, there are two different colors, so there are two different possibilities.
To find how many different types of shampoo can be made, we just need to multiply all the possibilities for colors of bottle, lid and label:
Number of different types of shampoo = 5 * 3 * 2 = 30
The degree of the polynomial is 3
