MATHEMATICS HIGH SCHOOL

Find the area of the regular 20​-gon with radius 13 mm.

Answers

Answer 1
Answer: Inside a circle with a radius of 2mm, a 20-sided regular polygon is inscribed.
Each of the 20 vertices is on the circuference of the circle, at 2 mm from the center.
Since the polygon is a regular 20-gon, all the sides an angles have the same measure, and you could connect all the vertices to the center and split that 20-gon into 20 isosceles triangles with 2mm legs.

As we are splitting, let's draw a line from the middle of each side to the center, spiltting each isosceles triangle into 2 right triangles.

The area of the 20-gon, made up of 40 of those little right triangles, will be 12.36mm^2

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The run is the _________ change between two points along a line

Answers

Run is the horizontal change between points. Run in slope means the change in "x" .

Answer:

The run is thehorizontal change between two points along a line

Step-by-step explanation:

The slope of a line can be defined as

\text{Slope}=\frac{\text{Rise}{\text{Run}=(\Delta y)/(\Delta x)

On comparing, we can say below mentioned things:

The run is always in the x direction and we take the horizontal axis as x-axis.

And rise is always in the y direction and we take the vertical axis as y-axis.

Therefore, we can conclude that  the run is thehorizontal change between two points along a line

To whitch subsets does the number - the square root of 25 belong select all that apply A)irrational numbers
B)rational numbers
C)integers
D)whole numbers
E)natural numbers

Answers

The square root of 25 belongs to the subsets of B. Rational numbers

What is a rational number in math?

Reasonable Numbers: Any number that can be written as the ratio (or fraction) of two integers is a logical number.

How do you recognize a rational number?

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, where both the number (number above) and denominator (bottom number) are whole numbers. The number 8 is a rational number because it can be written as a fraction of 8/1.

Learn more about Rational numbers at brainly.com/question/12088221

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sqrt 25 = 5....rational, integer, whole number, and natural

A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?

Answers

Answer:

Profit = $18.8 per meal

Step-by-step explanation:

Chef ordered beef = 4 pounds

Cost of beef = $3.25 per pound

Total cost of beef = 4 × 3.25 = $13

Amount of potatoes ordered = 6 pounds

Cost of potatoes = $1.96 per pound

Total cost of potatoes = 6 × 1.96

                                     = $11.76  

Amount of carrots ordered = 5 pounds

Cost of carrots = $1.81 per pound

Total cost of carrots = 5 × 1.81 = $9.05

Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05

                                                                        = $33.81

Number of meals prepared with material purchased = 28

Per meal cost = (33.81)/(28) = $1.2075

Selling price of one meal = $20

Profit per meal = Selling price - Cost price

                         = 20 - 1.2075

                         = 18.7925

                         ≈ $18.8

Therefore, he will make $18.8 for each meal.

Approximate the value of 44 to the nearest hundredth

Answers

I dont really understand the question. But from how u asked it then it would be 44.00

Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containg 55% spinach. The resulting salad contains 50% spinach. How many cups of salad are in the resulting mixture?

Answers

Answer: 12 cups of salad blend are in the resulting mixture

Explanation:

Since we have given that

4 cups of a salad blend contains 40% spinach

Using mixture allegation method, we get that

8 cups of a salad blend contains 55% spinach as shown in the figure below.

Now, we need to find the number of cups of salad in the resulting mixture,

0.4* 4+0.55* 8=0.5* x\n\n1.6+4.4=0.5x\n\n6=0.5x\n\n(6)/(0.5)=x\n\n12=x

Hence, 12 cups of salad blend are in the resulting mixture .

Answer:

Option C: 12 cups of salad

Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)

Thus, we have the following expression that shows the number of salad in the resulting mixture;

4(40%) + x(55%) = (4+x)(50%)

= 0.4(4) + x(0.55) = 0.5(4 + x)

= 1.6 + 0.55x = 0.2 + 0.5x

0.2 -1.6 = 0.55x-0.5x

0.4 = 0.05x

x = 0.4/0.05

x = 8 cups of salad

So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad

What are the coefficients in the expression, 9 - 4 + 3b + 7a?

Answers

The coefficients in the expression are 3 and 7.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

9 - 4 + 3b + 7a

So, from the given expression we can see that there are 4 terms, 2 constants and 2 coefficients.

The coefficient of b is 3,

and coefficient of a is 7.

So, there are 2 coefficients in the given expression.

Thus, the coefficients in the expression are 3 and 7.

To learn more about expressions :

brainly.com/question/11568837

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Answer:

The coefficients are b and a
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