The Hexagon below is split into equal parts. What is the area of each part of the Hexagon ?

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer:

x = (-1, 3)

Step-by-step explanation:

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

5

Step-by-step explanation:

because it takes 4 1/5 paint for each canvas 5 times 4 1/5 is 21.

Answer:

A. V: x = 2; H: y = –2

Step-by-step explanation:

you start at 0 and then you have to go right first til you get to 2 then go down til you get to -2

**I got this correct on test also :))

Answer:

56

Step-by-step explanation:

Arithmetic mean is simply the sum of the all the number present divide by the total number.

From the question, we obtained the following information:

The arithmetic mean = 5.6

Total number present = 10

Sum of the numbers =?

Arithmetic mean = sum of the numbers / total number

Sum of the numbers = arithmetic mean x total number

Sum of the numbers = 5.6 x 10 = 56

The sum of the other four numbers is equivalent to -200.

Given is that the arithmetic mean of ten numbers is -10. The sum of six of the numbers is 100.

We can write -

{a + b + c + d + e + f + g + h + i + j}/10= - 10

{a + b + c + d + e + f + g + h + i + j} = - 10 x 10

{a + b + c + d + e + f + g + h + i + j} = - 100    .... Eq{1}

and

{a + b + c + d + e + f} = 100             .... Eq{2}

We can write Eq{1} as -

{a + b + c + d + e + f} + {g + h + i + j} = - 100

100 + {g + h + i + j} = - 100

{g + h + i + j} = - 100 - 100

{g + h + i + j} = - 200

Therefore, the sum of the other four numbers is equivalent to -200.

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The given  expression √(a³-7)+ | b |, when a = 2 and b = -4, the value of the expression is, 5

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression,

√(a³-7) + | b |

where, a = 2

b = -4

Now, by putting values of a and b in the given equation,

⇒ √(a³-7) + | b |

⇒ √(2³-7) + | -4 |

For whatever value of x, |x| will give always positive value

So, now it can be further written as,

⇒   1  + 4

⇒   5

Hence, the value is 5

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The salary $50,780 per year is lower than the yearly median.

The yearly median earnings for a male with a bachelor's degree are $40,404 higher than those for a male with a high school diploma.

a. As, the median weekly earnings for males with a bachelor's degree are $1,384.

To convert this to yearly earnings, we can multiply by the number of weeks in a year (52):

= $1,384 x 52

= $71,968

So, the salary $50,780 per year is lower than the yearly median earnings for a male with a bachelor's degree.

b. Now, The yearly median earnings for a male with a high school diploma (no college) are $607 per week. Converting this to yearly earnings:

Yearly median earnings for a male with a high school diploma

= $607 x 52 = $31,564

The difference between the yearly median earnings for a male with a bachelor's degree and a male with a high school diploma is:

= $71,968 - $31,564 = $40,404

So, the yearly median earnings for a male with a bachelor's degree are $40,404 higher than those for a male with a high school diploma.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

Answer:

33

Step-by-step explanation:

the value of x can be calculated using the given data.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given a triangle, with two known angles of 42-degree and 26-degree

Let the triangle be ABC

This is, in fact, exactly what the Law of Sines tells you:

a/sinA = b/sinB = c/sinC = m

where m is that scale factor and also the diameter of the triangle's circumcircle.

in our case,

∠A = 26°

∠B = 42°

thus,

a/sinA = b/sinB

4/sin26 = b/sin42

b = 4* (sin 42 /sin26)

b =6.12

or x = 6.1 cm

therefore, the value of x can be calculated using the given data.

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The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Therefore, we need 16 tables for both 94 and 95 people.

In mathematics, a fraction is a number that represents a part of a whole. It is a way of expressing a quantity that is not a whole number or an integer. A fraction consists of two numbers separated by a horizontal or a diagonal line, called the fraction bar or a vinculum. The number above the fraction bar is called the numerator and represents the part of the whole. The number below the fraction bar is called the denominator and represents the total number of equal parts that make up the whole.

Here,

Based on the seating arrangement in the image, each table can seat 6 people.

a. For 94 people, we need to divide the number of people by the number of people per table to determine how many tables are needed:

94 / 6 = 15.67

Since we cannot have a fraction of a table, we must round up to the nearest whole number. Therefore, we need 16 tables for 94 people.

b. For 95 people, we follow the same process:

95 / 6 = 15.83

Again, we must round up to the nearest whole number, so we need 16 tables for 95 people as well.

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Answer:   d.) a perfect square

Step-by-step explanation:

a.) number divisible by 2

There are three numbers divisible by 2:   2, 4, and 6. The odds of spinning one of these is 3/6.

b.) prime number

A prime number is a number that is divisible by 1 and itself. There are three prime numbers:   1, 3, 5. The odds of spinning one of these is 3/6.

c.) an odd number

There are three odd numbers:   1, 3, and 5. The odds of spinning one of these is 3/6.

d.) a perfect square

a perfect square is a number that has a whole number as a square root. There are two numbers that are perfect squares:   1 and 4. The odds of spinning one of these is 2/6.

The least likely is a perfect square with a probability of 2/6.

Answer:

700,000

Step-by-step explanation:

700,000 is already a 100,000, therefore there is no rounding to do.

Answer:

700,000 is the answer

Step-by-step explanation:

Answer:

11.5 feet

Step-by-step explanation:

We can set the porportions of pole height/shadow length equal

13/6.5=23/x

We can cross multiply,  13x=149.5 and divide to get x=11.5

Or we could have seen that the shadow is half the height of the pole.

\( \large \mathfrak{Answer : }\)

The above statement can be represented algebraically as :

Answer:

-18.75 is a rational number. A rational number is any number that has either a repeating decimal or one that ends. It doesn’t no go on, so it is considered rational. Hopefully this helps! Feel free to mark brainliest!

-18.75 is a rational number

Rational numbers are numbers that can be expressed as the fractions of two integers

That is, R is a rational number if it can be expression as:

R  =  p/q

where p and q are integers

-18.75 can be expressed as -1875/100 where both -1875 and 1000 are integers.

Since -18.75 can be expressed as the fraction of two integers, it is a rational number.

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Answer:

B. -6b-4

Step-by-step explanation:

-6(b+2)+8

Distribute

-6b-12+8

Combine like terms

-6b-4

Answer:

It would be C and E

Step-by-step explanation:

I know I'm extremely late but for anyone else who needs to know here you go :)

Answer:

Variable: t

Constant: 18

Step-by-step explanation:

A constant is the number that is known, the variable is unknown. A variable is usually denoted with a letter and a constant  with digits. I hope this helps  :0)

Answer:

58

Step-by-step explanation:

4 × 5 to the power of 2 + 3 × 5 + 3

Answer:

Option B

118

Step-by-step explanation:

\(4{x}^{2} + 3x + 3\)

By putting the value of x = 5

\( = 4 {(5)}^{2} + 3 \times 5 + 3\)

= 4 × 25 + 15 + 3

= 100 + 18

= 118 (Ans)

Answer:

the son age is 13band Evans age is 52 years old at present day

Dan is 12 years old.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the Age of Dan is x years

Mr. Evans Age = 4x

If Mr. Evans was 46 years old 2 years ago

The, Present age of Mr. Evans = 48 years

So, Dan's Age = 48/4

                        = 12 years.

Hence, Dan is 12 years old.

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Answer:

43 10/19

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge 2021

Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.

In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.

Here,

If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:

k = xy

If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:

k = xy

= 8(24)

= 192

Now we can use this value of k to write the inverse variation function:

xy = 192

or

y = 192/x

To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:

(x, y)

(1, 192)

(2, 96)

(4, 48)

(8, 24)

(16, 12)

(24, 8)

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Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Answer:

Regression equations can help you figure out if your data can be fit to an equation.This is extremely useful if you want to make predictions from your data- either future predictions or indications of past behavior.For example,you might want to know what your savings are going to be worth in the future.There are several types of regression equations,some of the more common include exponential and simoke linear regression.In elementary statistics,the regression equation you are most likely to come across is the linear form.