Solve for x and all missing angles

Writing x^4 + 5x^2 - 8 in quadratic form will result to

Quadratic equation involves having the variables to be in exponents of 2 as the maximum. That is making the equation degree 2

The equation x^4 + 5x^2 - 8 is rewritten by say

x² = y

then we have

y² + 5y - 8

The  equation in quadratic form is  y² + 5y - 8

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The perimeter of the polygon is 250m

A polygon is a closed, straight-sided two-dimensional plane shape in geometry. There are no curves on the polygon's surface. The polygon can be divided into two different types, such as regular polygons and irregular polygons, depending on its sides and angles.

The total of a polygon's sides is referred to as the polygon's perimeter. If a polygon has regular sides, its perimeter may be calculated using the formula Perimeter of Regular Polygon = (Number of Sides) x (Polygonal Side Length) units.

Given the sides of the polygon are 10 m, 55 m, 60 m, 90 m, 20 m and 15 m.

The perimeter of the polygon = sum of all sides

The perimeter of the polygon = 10m + 55m + 60m + 90m + 20m + 15 m.

The perimeter of the polygon = 250m

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Answer:

The first one is largest volume: 27

Step-by-step explanation:

1) 3*3*3=27

2)4*4*1=16

3)2*4*2=16

4)1*6*2=12

The area of figure ABCDE is 26.5 square units.

Three angles, three sides, and three vertices make up the closed shape of a triangle. It is one of the most fundamental geometric shapes, and the symbol for it is.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape

Given:

Area of triangle ABC = 7.95 square units

Area of triangle ACD = 9.8 square units

Area of triangle AED = 8.75 square units

To calculate the area of the figure we have to add the area of the individual triangles together.

So, Area of figure ABCDE

= Area of triangle ABC + Area of triangle ACD + Area of triangle AED

= 7.95 + 9.8 + 8.75

= 26.5 square units

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0.3814  is the probability that a standard normal random variable .

What is the probability equation?

The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula.

                      P(E) = positive outcomes/total outcomes is how it's expressed mathematically. The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula. Mathematically speaking, it seems as follows: P(E) stands for positive outcomes/total outcomes.

P(0.3 < z < 3.2)

= P(z < 3.2) - P(z < 0.3)

= 0.9993 - 0.6179

 = 0.3814

Probability = 0.3814

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Answer:

tan(64)= x/11

Step-by-step explanation:

if we make 64 degrees are central angle then that means the side along the right angle is the adjacent and side x is the opposite

since tan∅ = opposite/adjacent

we know angle is 64 and adjacent is 11

thus,

tan 64 = x/11

The unit of measurement for coding the length of lacerations d)centimeters.

Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.

Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.

Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.

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Answer:

$24

Step-by-step explanation:

30 times .80=24

If the difference of two numbers is 52 and larger number is six times the smaller number , then the smaller number is 11 , larger number is 63 .

Let  the smaller number be denoted by  "x".

according to the information that, "larger number is three less than six times the smaller number" ;

So,  the larger number can be represented as 6x - 3.

The difference between the two numbers is 52,

that means ; (6x - 3) - x = 52

On Solving for x ;

we get ;

⇒ 5x = 55

⇒ x = 11

Therefore , the smaller number is 11, and the larger number is 6×11-3 = 63.

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which measure of center can you most accurately estimate from this information: Median

The median divides the data into equal-sized groups. So approximately 50% of the data is above the median and approximately 50% of the data is below the median.

Calculating the median

The median is the value in a data set, implying that half of data focuses have a value more modest or equivalent to the median and half of data focuses have a value higher or equivalent to the median.

For a little data set, you first count the quantity of data focuses (n) and organize the data focuses in expanding request. Assuming the quantity of data focuses is lopsided, you add 1 to the quantity of places and separation the outcomes by 2 to get the rank of the data point whose value is the median.

The rank is the place of the data point after the data set has been organized in expanding request: the smallest value is rank 1, the second-smallest value is rank 2, and so forth.

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the complete question is:

The dotplot above shows the distribution of calf measurements for 507 adults who attend a local gym. The data is divided into equal-sized subgroups with 25% of the adults in each subgroup.

Which measure of center can you most accurately estimate from this information?

1. mean

2. median

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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The distance of Main Street is given by the equation D = 319.25 feet

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the distance of Main Street be D

Now , let the triangle be represented as ΔABC

The base of the triangle BC = 300 feet

The hypotenuse of the triangle AC = distance between First avenue and Canal street

The measure of angle ∠BAC = 70°

From the trigonometric relations , we get

sin θ = opposite / hypotenuse

Substituting the values in the equation , we get

sin 70° = 300 / D

Multiply by D on both sides of the equation , we get

D ( sin 70° ) = 300

Divide by sin 70° on both sides , we get

D = 300 / ( sin 70° )

On further simplification , we get

D = 300 / 0.939692

D = 319.2535

D = 319.25 feet

Hence , the distance is 319.25 feet

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An explicit formula for aₙ, the nth term of the arithmetic sequence is aₙ = 19 - 6(n - 1).

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ = a₁ + (n - 1)d

Where:

From the information provided, we have the following parameters:

First term, a₁ = 19

Second term, a₂ = 13

Next, we would determine the common difference as follows:

Common difference, d = a₂ - a₁

Common difference, d = 13 - 19

Common difference, d = -6

Substituting the parameters into the mathematical expression, we have;

aₙ = 19 + (n - 1)(-6)

aₙ = 19 - 6(n - 1).

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The number of new cases of a disorder in a population that emerge in a particular time interval is called the incidence.

Incidence refers to the rate at which a new event occurs in a population. Incidence takes into account the variable time period during which a disease-free individual becomes at risk of spreading the disease.

In incident calculations, the quantifier is the number of events that have occurred in a given time. Then the quantifier of the denominator is the population that is at risk of experiencing the event during this period.

Simply put, incidence refers to new cases and is used to determine the etiology of the disease. While prevalence is more widely used to refer to health status in certain populations.

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The total distance between lisle and Linda will be 10.4 kilometers.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that lisle and Linda walk in opposite directions from the same point. lisle walks 0.8 kilometers every 10 minutes, and Linda walks 2.8 kilometers every 30 minutes.

lisle's distance in an hour:-

0.8 x 6 = 4.8 Km

Linda's distance in an hour:-

2.8 x 2 = 5.6 Km

Total distance = 4.8 + 5.6 = 10.4 Km

Therefore, there will be 10.4 kilometers between Lisle and Linda overall.

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The largest a bedroom can be and still be among the smallest 20% of bedrooms in a home is around 271 square feet.

To understand this answer, we have to use the concept of standard deviation, which is a measure of how spread out the data is from the mean. In this case, the average area of a bedroom is 219 square feet, with a standard deviation of 32.5 square feet. To calculate the 20th percentile, we need to find the value of X such that P(X < x) = 0.20, where P(X < x) is the cumulative distribution function of X.

We can use a standard normal table to find the Z-score corresponding to 0.20 and then convert it back to the original scale. The Z-score for 0.20 is -0.84. Therefore, x = 219 + 32.5 * (-0.84) = 271, which is the largest a bedroom can be and still be among the smallest 20% of bedrooms in a home.

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Answer:

x = 60°

Step-by-step explanation:

the 'x' angle and the adjacent 120° angle form a straight line

a straight line consists of 180°

Answer: The probability of the spinner stopping at a green section and then rolling a 3 is 1/22

Step-by-step explanation: A spinner stopping at a green section

B: rolling a 3

the spinner is divided into 11 parts, 3 of them are green, then:

P(A) = 3/11

the number cube has 6 numbers, then:

P(B) = 1/6

The two events are independent, then:

P(A∩B) = P(A)*P(B) = 3/11 * 1/6 = 1/22

The speed of the air or water increases and its pressure decreases as it circles the longer-path side of the sail or keel. The air or water will attempt to migrate from the side of high pressure to the side of low pressure as it moves along the sail or keel in response to the consequent pressure difference.

Theoretical displacement hull speed is determined by the following equation: velocity in knots = 1.35 x waterline length in feet squared.

Use x to symbolise the slower boat's speed.

Therefore, the faster boat's speed would be x + 20 mph.

They met for 8 hours, hence the distance they travelled overall during that period is depicted as

Distance: (x + 20) * 8 + x * 8

Thus, we have

Distance: 16x plus 160

At twilight, the two boats were separated by 400 kilometres.

The distance equation is as follows.

400 = 16x + 160

Analyze similar terms

16x = 240

multiply by 16

x = 15

Remember that

20 mph faster boat equals x.

Thus, we have

Speedier boat = 15 plus 20

Speedier boat = 35

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Yes, the given statement is true if the variance of the population 'a' is smaller than the variance of population 'b' it represents that population 'b' is more variable than 'a'.

Therefore, the given statement is true for the variance of population 'a' and 'b'.

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Answer: ion know

Step-by-step explanation: 1 + 2 = 3

Answer: 13, 21, 34...

Step-by-step explanation: 1+2 = 3, 2+3 = 5, 3+5 = 8, 5+8 = 13, 8=13 = 21, etc.

The frequency of winning numbers you can match, determines your chance of winning a prize.

The likelihood of earning some money is one if you can match three or more of the winning numbers (certain). However, the probability of winning any prizes is zero if you can only match two or fewer of the winning numbers (impossible).

Probability distribution: The probability that a random variable will take on a specific value or range of values is expressed mathematically as a probability distribution. It is often referred to as a probability mass function or a probability density function (PDF) (PMF). Each result of a random event, such as the roll of a dice, the toss of a coin, or a stock market return, is given a probability by the probability distribution.

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The predicted number of barrels of crude oil for October is given as follows:

19.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

y = -0.02x² + 0.14x + 19.6.

October is the 10th month, hence the prediction is obtained as follows:

y = -0.02(10)² + 0.14(10) + 19.6

y = 19.

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The percentage of preference of tennis or football is, 13.6%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

The total number of students who prefer tennis is 20.

And the total number who prefer football is 14,

so the total number who prefer either tennis or football is

⇒ 20 + 14

⇒ 34

To find the percentage of students who prefer either tennis or football, we can divide the number of students who prefer either by the total number of students and multiply by 100:

(34 / 250) x 100 = 13.6%

So, approximately 13.6% of the 8th grade class prefer either tennis or football.

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Jill should expect an additional 30 to 45 hours of homework each week.

As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.

However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.

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