Please help me find x.

Answer:

1) The length of the third side is 5.607 units

2) The sum of the numbers from 1 to 100 is 5050

3) For the x-axis, foci: ((√15/28), 0) and (-(√15/28), 0)

For the y-axis, foci: (0, (√15/28)) and (0, -(√15/28))

Step-by-step explanation:

1) When two sides of the triangle are equal to 4 then the triangle is an isosceles triangle

Given that the included angle (the angle between the two sides) is 89°, we have;

The other two base angles are equal to {180 - 89)/2 = 91/2 = 45.5°

Therefore, we have from cosine rule;

a² = b² + c² - 2·b·c·cos(A)

We note that the angle opposite the third side is the included angle 89°, therefore, when we put a as the third side in the above equation, we have;

a² = 4² + 4² - 2×4×4×cos(89°)

a² = 31.44

a = 5.607

The length of the third side is 5.607 units

2) The numbers 1 to 100 form an arithmetic series with the first term, a = 1 and the common difference, d = 1 with the number of terms n = 100

The sum of an arithmetic progression, Sₙ, is given as follows;

\(S_n = \dfrac{n}{2}\cdot (2 \cdot a + (n - 1) d)\)

Therefore, by plugging in the values, we have;

Sₙ = 100/2*(2*1 + (100 - 1)*1) = 100/2*(101) = 5050

The sum of the numbers from 1 to 100 is 5050

3) The foci of an ellipse 7·x² + 8·y² = 30 is found as follows;

Dividing both sides of the equation by 30 gives;

7/30·x² + 8/30·y² = 30/30

7/30·x² + 8/30·y² = 30/30

7/30·x² + 4/15·y² = 1

Which is of the form;

x²/a² + y²/b² = 1

For the x-axis we have

c² = a² - b²

c² = 30/7 - 15/4 = 15/28

h = 0, k = 0

Foci: ((√15/28), 0) and (-(√15/28), 0)

For the y-axis, we have;

x²/b² + y²/a² = 1

The foci are then (0, (√15/28)) and (0, -(√15/28)).

Answer:

Slope:

7

Step-by-step explanation:

Answer:

Brainiest

Step-by-step explanation:

17 1/2

Answer:

hi

Step-by-step explanation:

Erik plans to run approximately 8.63 miles this week.

To find out how many miles Erik plans to run this week, we need to multiply the distance he ran last week (3 miles) by 2 7/8, which is the factor by which he plans to increase his distance. To do this, we first need to convert the mixed number 2 7/8 into an improper fraction:

2 7/8 = (2 x 8 + 7) / 8 = 23/8

Now we can multiply:

3 miles x 23/8 = (3 x 23) / 8 = 69/8 miles

This means that Erik plans to run 69/8 miles, or 8 5/8 miles, this week. This is a mixed number, which means that Erik plans to run 8 whole miles and 5/8 of a mile.

Alternatively, we can express 69/8 as a decimal by dividing the numerator (69) by the denominator (8):

69/8 ≈ 8.63

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Answer:

90,502,084.19 that's the answer

Step-by-step explanation:

Answer:

it should be the second one I hope this help

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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\(5p + 3 = 15 \\ Now bring 3 on the other side with its sign becoming negative.

\\ = > 5p = 15 - 3 \\ Subtracting 3 from 15 we get 12. \\ = > 5p = 12 \\ Now divide 12 by 5\\ => p = 12 \div 5 \\ Finally we get the value of p \\ = > p = 2.4\)

p = 2.4

Hope it helps.

Do comment if you have any query.

Answer:

P= 2.4

Step-by-step explanation:

5P+3= 15

bring 3 to the other side of the equal sign which makes it negative 3

5P=15-3

so 5P= 12

now bring 5 to the other side, since 5 is multiplying by p bringing it to the other side causes it to become a division:

\(p = \frac{12}{5} \)

which can be written as

\(2 \frac{2}{5} \)

or

2.4

Answer:

\(m\leq \frac{1}{4}\)

Step-by-step explanation:

\(\frac{1}{4}+m\leq \frac{1}{2}\)

Simplify both sides in the inequality:

\(m+\frac{1}{4}\leq \frac{1}{2}\)

Subtract 1/4 from both sides:

\(m+\frac{1}{4}-\frac{1}{4} \leq \frac{1}{2}-\frac{1}{4} \\m\leq \frac{1}{4}\)

m ≤ 1/4 is your final answer.

The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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In the given equation r = 2/5 t "r" is the dependent variable.

In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.

An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.

A dependent variable is a variable whose value depends on the value of one or more other variables in the equation

Here we have

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups.

She writes the equation r = 2/5 t to describe the relationship.

In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.

Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.

The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.

Therefore,

In the given equation r = 2/5 t "r" is the dependent variable.

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Complete Question:

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

The denominator of the z, t, and F calculations all contain a measure of sample variability. This is because these calculations are used to determine the significance of a difference between sample means or proportions, and the measure of sample variability in the denominator is used to standardize the difference between the sample statistics.

The measure of sample variability is usually expressed as a squared number, which is the variance or standard deviation of the sample.

Additionally, the denominator represents what would be expected if the null hypothesis were true, as it reflects the amount of variability that would be observed in the sample if the null hypothesis were true and there was no real difference between the groups being compared.

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The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.

These factors are often represented as the three sides of a triangle, with fraud being the result at the center.

Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.

In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.

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The correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).


The formula that shows how to calculate the number of tires, t, needed for c cars per day is option b) t = c/4.

To understand this formula, let's break it down step by step:

1. Each car needs four regular tires and one spare tire for the trunk. So, the total number of tires needed for one car is 4 + 1 = 5.

2. If we want to calculate the total number of tires needed for c cars, we can multiply the number of cars by the number of tires needed per car, which is 5. So, the formula becomes t = 5c.

3. However, we need to find the number of tires needed, which is represented by t. Since we have t on the left side of the equation, we can rearrange the formula by dividing both sides by 5: t/5 = c.

4. Now, we have the number of tires needed (t) expressed in terms of the number of cars (c), but we want to find the number of cars needed given the number of tires (t).


To do this, we can rearrange the formula again by dividing both sides by 4: t/4 = c/4.

Therefore, the correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).

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Answer:

1.true

2.false

3.false

4.true

5.true

6.false

Step-by-step explanation:

just graph it and look at it

Answer:

p=7

Step-by-step explanation:

use inverse operation

add 6 to both sides

you get

-3p=-21

divide -3 from both sides

p=7

Answer:

p=7

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

The price for the ski = $2000

The payments made each = $250

percentage of the total cost that the payment is = ?

The percentage will be calculated as

the ratio of the payments made to the price of ski times 100%

250/2000 x 100%

==> 0.125 x 100% = 12.5%

The biconditional statement is a polygon has four sides if and only if it is a quadrilateral. Option C

A biconditional statement is defined as a statement that combines both an converse and conditional statement.

It is written in the "if and only if" from.

It is a statement that states a condition depends on another being and vice versa.

From the statement given;

"if a polygon has four sides, then it is a quadrilateral

The biconditional statement is ;

Polygon has four sides if and only if it is a quadrilateral.

Thus, the biconditional statement is a polygon has four sides if and only if it is a quadrilateral. Option C

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No, because AB is 2/5 the length MN but CD is 1/3 the length QP.  

What is Dilation transformation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.

Enlargement is the term used when a dilatation results in a bigger picture.

Reduction occurs when a dilatation results in a smaller picture.

Comparing the corresponding sides, the length of AB is 4. The length of MN is 10.  This makes their ratio 4/10 = 2/5.

The length of CD is 2. The length of QP is 6.  this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

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Answer:

5x-y=-9

Step-by-step explanation:

Answer:

your answer is in the screenshot cuz you didn't show the graph

Step-by-step explanation:

mrk me brainliest plz

Answer:

Equation of the line (slope-intercept form):  y = 2/3x + 4

Step-by-step explanation:

We can find the equation in slope-intercept form, whose general form is

y = mx + b, where

y-intercept, b:  We see on the graph that the line intersects the y-axis at the point (0, 4).  Thus, the y-intercept (b in the slope-intercept equation) is 4.

Slope, m:  We can find the slope using the slope formula, which is

m = (y2 - y1) / (x2 - x1), where

We see from the line intersects the x-axis at (-6, 0).  Thus, we can allow (-6, 0) to be our (x1, y1) point and (0, 4) to be our (x2, y2) point:

m = (4 - 0) / (0 - (-6))

m = (4) / (0 + 6)

m = 4 / 6

m = 2/3

Since the slope of the line is 2/3 and the y-intercept is 4, the equation of the line is y = 2/3x + 4

The area of the resulting shape is 90 sq meters

The cylinder represents the given parameter

Such that we have the following dimensions

Radius = 6 cm

Height = 15 cm

When the solid cylinder is cut vertically through its center, we have a rectangle with the following dimensions

Length = 6 cm

Width = 15 cm

The area is then calculated as

Area = Length * Width

So, we have

Area = 6 * 15

Evaluate

Area = 90

Hence, the area is 90 square meters

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Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

D is correct.

Step-by-step explanation:

\(3 |x + 1| < 6\)

\( |x + 1| < 2\)

\( - 2 < x + 1 < 2\)

\( - 3 < x < 1\)

x > 3 and x < 1, so D is correct.

Step-by-step explanation:

(1.7x10^4) x (8.5x10^-2)

17000 × 0.085

= 1445

Answer:

Step-by-step explanation:

number 2: the one that says opposite

The statement describes a set of interest in a study, which is the set of all elements being investigated or under consideration. It is not a sample, which refers to a subset of the population being studied.

The set of all elements of interest in a study is called the population. It refers to the entire group of individuals, objects, or measurements that are being studied and from which data can be collected. The population can be finite or infinite and can include people, animals, plants, materials, or any other object or concept of interest. In statistical analysis, researchers use samples of the population to make inferences or draw conclusions about the entire population. By selecting a representative sample, researchers can reduce the cost and time required for data collection and analysis while still obtaining valid and reliable results.

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