Answer:
Step-by-step explanation:
Given that there is a cone with radius r and slant height s.
We know that lateral surface area of the cone is
=
Alternately if instead of s, h is known we can write this in terms of h also.
Consider the right triangle formed by slant height, height and radius of the cone.
Using Pythagorean theorem we have
Or
Hence lateral surface area of the cone
=
Answer:
A And D
Step-by-step explanation:
Did The Quiz and got it right
Answer: $ 45898.68
Step-by-step explanation:
Given: Population =
GDP = $11,465.2 billion
Since we know that 1 billion = 1,000,000,000
Therefore, GDP = $11,465,200,000,000
Also, the per capita GDP is calculated by :-
Hence, the per capita GDP = $ 45898.68
Answer:
37 students are in the class
Step-by-step explanation:
There are 8 regions which the most inclusive clue is the inner one with 12.
now we look at this:
Just add up all the 8 numbers in the regions:
12+2+8+3+5+5+1+1=37
Answer:
Area of pizza whose longer side is of length is 14 inches = 218.5
Area of pizza whose longer side of rectangle is 18 inches=258.5
Area of pizza whose longer side is of length is 29 inches = 368.5
Step-by-step explanation:
Given A pizzeria makes brick-oven pizzas that are shaped like long rectangles with semi-circles at two ends. The pizzas come in three different sizes, which are measured by the longer side of each rectangle: 14 inches, 18 inches, and 29 inches. All of the pizzas are 10 inches wide, so the semi-circles at the ends have diameters of 10 inches. we have to find the area of each pizza.
First, let us find the area of pizza whose longer side of rectangle is 14 inches
Area of 2 semicircles whose diameter is 10 inches
Length = 14 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 14 inches = Area of rectangle + area of 2 semicircles
=140+78.5=218.5
Now, let us find the area of pizza whose longer side of rectangle is 18 inches
Length = 18 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 18 inches = Area of rectangle + area of 2 semicircles
=180+78.5=258.5
Now, let us find the area of pizza whose longer side of rectangle is 29 inches
Length =29 inches
Breadth = 10 inches
Area of rectangle =
=
∴ Area of pizza whose longer side is of length is 29 inches = Area of rectangle + area of 2 semicircles
=290+78.5=368.5
To calculate the area of pizzas shaped like rectangles with semi-circular ends, we calculate the area of the rectangle and adjacent semi-circles separately then sum both. The rectangle's area is calculated as length times width while the semi-circle area is calculated as half of (pi*radius^2).
The area of a pizza that's shaped like a long rectangle with semi-circles at the ends can be calculated by first looking at the rectangle and then the semi-circles. For the rectangles, we use the formula for the area of a rectangle that is, length multiplied by width.
For the 14 inch pizza, the rectangle part:
Area = Length x Width = 14 x 10 = 140 square inches
The area of the semi-circle can be calculated as Area=1/2πr². The diameter is given as 10. So, the radius (r) will be half of the diameter, which is 5. Therefore, Area of each semi-circle = 1/2 x π x 5² = 1/2 x 3.14 x 25 = 39.25 square inches. The combined area of two such semi-circles will be = 39.25 x 2 = 78.5 square inches.
Adding the area for the rectangle and the semi-circles, the total area of each pizza will be 140 + 78.5 = 218.5 square inches.
Following these same steps, we can calculate the areas for the 18 inch and 29 inch pizzas.
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Answer:
The number rounded to the nearest ten thousand is 710,000.
Step-by-step explanation:
We have the number 706,286. It is required to round this number to the nearest ten thousand.
1 - Unit.
10 - Ten
100 Hundred.
1,000 Thousand
10,000 Ten Thousand.
We need to round to the nearest number multiples of 10,000.
There are two simple rules to round numbers:
1- If the next number is equal or higher than 5, you should increase in 1 the previous number.
2- If the next number is less than 5, you can delete all the next numbers.
Analyzing the number 706,286 we can note that the number after 0 ten thousand is 6, as it is higher than 5, we should increase one unit.
706,286 rounded is
710,000.
Finally, we can conclude that the number rounded to the nearest ten thousand is 710,000.