Find the area of the regular polygon

Answer: 110

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary, so [tex]70+x=180 \longrightarrow x=110[/tex]

Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.

The Pythagoras theorem formula is expressed as:

[tex](\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}[/tex]

Now, let us take an example to understand the concept better.

A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?

We are given the following:

When we plug the hypotenuse and the base, in the formula, we get;

Subtract 9² on both sides of the equation to isolate (side₂)².

We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S

Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).

Therefore, the measure of the height is 12 centimeters.

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Answer:

should be the first one

Step-by-step explanation:

any point connected

Answer:

The answer is:

line segment D

Step-by-step explanation:

Points: A, B, C, D Line segments: Bar (AB), Bar (AC), Bar (BD)

Answer:A

Step-by-step explanation: because there is an association with the child’s hight and age so the answer is A ( plus I have did this before and got it wrong and the actual Answer was A when I picked B

Answer: A

Step-by-step explanation:

What I notice about the lines p and q that are parallel is that they are both supplementary angles. Lines p and q are parallel because alternate exterior angles are congruent Lines l and m are parallel because same side interior angles are supplementary Lines l and m are parallel because alternate interior angles are supplementary

Answer:

People can not be in fractions

Answer:

Step-by-step explanation:

"How many times does 26 go into 1793?" is the same as asking "How much is 1793 divided by 26?" Thus, the answer can be calculated as follows:

1793/26 = 68.96 ( you can round up to 69)

Answer:

69 times

Step-by-step explanation:

to get the number of times, divide 1,793 by 26

1793/26 = 68.96153846

= 69 times (approximately)

Answer:

midpoint: (3.65, -3.65)

Explanation:

[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

where (x1, y1), (x2, y2) are points

[tex]\rightarrow \sf (\dfrac{2.9+4.4}{2}, \dfrac{-4.4-2.9}{2})[/tex]

[tex]\rightarrow \sf (\dfrac{7.3}{2}, \dfrac{-7.3}{2})[/tex]

[tex]\rightarrow \sf (3.65, \ - 3.65)[/tex]

Answer:

2. [tex]-x^{2} +3x+15[/tex]

3. [tex]-x^{2} -x+9[/tex]

Step-by-step explanation:

We add like terms together to simplify

2.  3x²-4x²= -x²     -2x+5x= 3x  6+9= 15  all equal to -x²+3x+15

3.  2x²-3x²= -x²      6x-7x= -x    8+1=9      all equal to -x²-x+9

Answer:

-> Supplementary

-> Add up to 180°

Explanation:

       A straight line has a measurement of 180°. Supplementary angles are angles that, when added together, equal 180°.

       Since angles 5 and 6 make up a straight line, we know they will add up to 180°.

Answer:

1. 1296

2. 243

3. 64

4. 3125

Answer:

194.4

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 9 x 0.5 x 7.2 x 6 = 194.4

hope this helps :)

Answer: option 2 which is 1.825*10^-7

Step-by-step explanation:

Answer:

the function of y =×+1 is equal to (×,-4)

The graph that has the thinnest triangle is the correct one or C.

Step-by-step explanation:

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The nth term of the arithmetic series can be defined as hₙ = 4n - 2.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

The nth term of an arithmetic sequence is given by the formula,

aₙ = a₁ + (n-1)d

Since the first term of the arithmetic sequence is 2, while the difference is 4. Therefore, the definition for the nth term of arithmetic sequence,h can be written as,

hₙ = 2 + (n-1)4

hₙ = 2 + 4n -4

hₙ = 4n - 2

Hence, the nth term of the arithmetic series can be defined as hₙ = 4n - 2.

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The probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available is 0.02

The scenario meets the following requirements

The given parameters are:

n = 160

p = 0.91 i.e. 91%

x = 152

The distribution is a binomial distribution, and it is calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n -x}[/tex]

The probability is represented as:

P(x > 152) = P(153) + ..... P(160)

Using a technology tool, we have:

P(x ≤ 152) = 0.02

Probability values less than 0.25 are unlikely probabilities.

Because the probability value 0.02 is less than 0.25, then we can conclude that it is a wise business practice to oversell your flight in this manner.

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The value of the a and b will be 6 and 9 feet. Every 2 inches on the scale drawing represents 1.5 feet of the original house.

The process of converting the unit form is known as the unit conversion. For example, in the SI unit system, mass is in kg. While in CGS, it is represented in grams.

The given conversion is ;

[tex]\rm 2 \ inch = 1.5 \ feet \\\\ 1 inch = \frac{1.5}{2} \ feet[/tex]

For 8, 12 inches, the values in feet is;

[tex]\rm 8 \times \frac{1.5}{2} = 6 \ feet[/tex]

[tex]\rm 12 \times \frac{1.5}{2} = 9 \ feet[/tex]

Hence, the value of the a and b will be 6 and 9 feet.

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The value a= 6 and b=9.

The process of converting the unit form is known as the unit conversion.

For example, in the SI unit system, distance is in meter while in CGS, it is represented in cm.

Given that:

2 inch = 1.5 feet

1 inch = [tex]\frac{1.5}{2}[/tex]

then, 8 inches =[tex]\frac{1.5}{2} *8[/tex]

                        = 1.5*4

                        = 6 feet

again, 12 inches= [tex]\frac{1.5}{2} *12[/tex]

                          = 1.5*6

                         = 9 feet

and, 16 inches =[tex]\frac{1.5}{2} *16[/tex]

                          = 1.5*8

                          = 12 feet

The value of a & b is 6 and 9 respectively.

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Answer:

8.4852814

Step-by-step explanation:

x^2=11^2-7^2

x^2=121-49

x^2=72

x=8.4852814

A percentage is a way to describe a part of a whole. The percentage of 4c that is equal to 0.04c is 1%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The percentage of 4c that is equal to 0.04c can be found as,

x% of 4c = 0.04

(x/100) × 4c = 0.04

[tex]x = \dfrac{0.04c \times 100}{4c}[/tex]

x = 1%

Hence, the percentage of 4c that is equal to 0.04c is 1%.

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Answer:

1 1/10

Step-by-step explanation:

1/2 + 3/5

1/2 = 5/10

3/5 = 6/10

6/10 + 5/10 =

1 1/10

The length of the short and long diagonals of the parallelogram to 3 decimal places are 5.244 units and  14.370 units respectively.

Parallelograms are quadrilateral. They have opposite sides equal to each other. Opposite sides are also parallel. The opposite angles are equal to each other.

Therefore, the angles are as follows;

Hence,

length of small diagonal = √9²+ 6² - 2(9)(6) cos 34

length of small diagonal = √81 + 36 - 108(0.82903757255)

length of small diagonal = √117 - 89.5360578359

length of small diagonal = √27.5

length of small diagonal = 5.24404424085

length of small diagonal = 5.244 units

5.244² + d² = 2(9² + 6²)

27.499536 + d² = 2(81+36)

d² = 234 - 27.499536

d²= 206.5

d = √206.5

d = 14.3701078632

d = 14.370 units

length of the longer diagonal = 14.370 units

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The instantaneous rate of change in the percent of households that used the internet for electronic banking in the year 2000 is; 6.8%

Formula for instantaneous rate of change is;

f'(x) = (f(b) - f(a))/(b - a)

From the table showing the the percent of households that used the internet for electronic banking in the year 2000, we can find the instantaneous rate of change as;

f'(2000) = (f(2001) - f(1999)]/(2001 - 1999)

f'(2000) = (21.6 - 8)/(2001 - 1999)

f'(2000) = 13.6/2

f'(2000) = 6.8

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Answer:

The inequality is x is less than negative 3.

Answer:

x < -3

Step-by-step explanation:

. subtract 1 from both sides.

. subtract the numbers

. divide both sides by the same factor and flip the relation

because the factor is negative

. cancel the terms that are both in the numerator and the denominator

. divide the numbers

.then you get youre solution

An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.

SMBO is for Sales Management by Objective and is a selling technique or approach that focuses on achieving a specific set of goals. The entire quantity of products sold is known as the sales volume. It can also be expressed in monitory terms.

An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.

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Answer:  3

Step-by-step explanation:

3/1 or 3

hope it helps...!!!

Answer:

The correct answer should be C.

Step-by-step explanation:

A. is equal to x² -5.291503x +7

B. is equal to x² +5.291503x +7

C. is equal to x²2 -7

C. is the only one with a negative 7 since (-)(+)= -

Answer:

The answer is 6^6

Step-by-step explanation:

When you divide exponents, you actually substract the exponent from the equation

Answer:

[tex]6^4[/tex]

Step-by-step explanation:

Recall the exponent quotient rule [tex]\displaystyle \frac{x^a}{x^b}=x^{a-b}[/tex]

This means that [tex]\displaystyle \frac{6^{10}}{6^4}=6^{10-6}=6^4[/tex]

Answer:

B

Step-by-step explanation:

1.

- 9 < 2x + 1

- 10 < 2x

X > - 5

2.

2x + 1 < 5

2x < 4

X < 2

The range is $0.39 which is the difference of the max value and min value.

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data given:

Max: $2.42

Min: $2.03

Mean: $2.098

Median: $2.06

Mode: $2.04

Variance: 0.0121

As we know, the range = Max value—Min value

Here, Max = $2.42

Min = $2.03

Range = 2.42 - 2.03 = $0.39

Thus, the range is $0.39 which is the difference of the max value and min value.

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Answer:

(2) Graph 2

Step-by-step explanation:

Question 40