What is the length of the base of a right triangle with an area of 24 square meters and a height of 4 meters

The term that best represents the intersection of two pages of an open book is point.

A third item made up of everything that is simultaneously contained in all of the other things is called an intersection of two or more objects in mathematics. In Euclidean geometry, for instance, the intersection of two lines in a plane that are not parallel is where they come together. More broadly, the set of elements that are a part of all of the sets is what is meant by the intersection of sets in set theory. The items being considered do not need to be in a shared space, unlike the Euclidean concept.

A point is the most frequent shape for an intersection in plane geometry, while there are other shapes that can be used as well. An intersection is an item of lesser dimension that is incident to each in incidence geometry, which is typically applied to flats.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

I can't see what you posted it's blocked off but I could probably answer it if I knew what the questions were

(-6, 14) and (2, -18)

The slope of the line that passes through the point.

y2 - y1 / x2 - x1

-18 - 14 / 2 + 6

= -32 / 8

= -4

Option D. -4

The second graph is correct

Answer:

second graph

Step-by-step explanation:

just wanted to help the first person who answered get brainlist

Answer:

1. 5/12 in exact form and 0.416 in decimal form

2. 26/3 in exact form and 8.6 in decimal form and 8 2/3 in mixed number form.

On each "6" there's a - on top!

Answer:

-1

Step-by-step explanation:

This question is based on the concept of equation of line.Therefore, the slope of the given graph is -1 and the y - intercept of the graph is  ( 0, 0.25).

Given:

Graph y = -x + 0.25

We need to determined the slope and y-intercept of the graph.

According to the question,

As we know that, the equation of line is y = m x +c,

Where, m = slope and c = y - intercept.

Now compare the given graph equation y = -x + 0.25 is with  y = mx +c.

We get,

Slope = -1

And, y - intercept = ( 0, 0.25)

Therefore, the slope of the given graph is -1 and the y - intercept of the graph is  ( 0, 0.25).

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The potential areas for Franklin's garden are 144ft², 36ft² and 196ft² hence options (b), (e), and (f) are correct.

To find the potential areas for Franklin's square garden, we need to find the perfect squares that can be expressed as the product of two identical whole numbers. These perfect squares will represent the areas of the square gardens with whole number side lengths,

a) 20 ft² = 2 x 2 x 5 = (2 x 2) x 5 = 4 x 5, not a perfect square

b) 144 ft² = 12 x 12 = (12 x 12), a perfect square

c) 1,000 ft² = 10 x 10 x 10 = (10 x 10) x 10 = 100 x 10, not a perfect square

d) 300 ft² = 10 x 10 x 3 = (10 x 10) x 3 = 100 x 3, not a perfect square

e) 36 ft² = 6 x 6 = (6 x 6), a perfect square

f) 196 ft² = 14 x 14 = (14 x 14), a perfect square

Therefore, the potential areas for Franklin's garden are 144 ft², 36 ft², and 196 ft². So, options (b), (e), and (f) are the potential areas for Franklin's square garden with whole number side lengths.

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Answer:

-3

Step-by-step explanation:

assuming that the x is the same in both problems, to get 2 as your solution, in the first problem x÷8 would have to equal 0. so x would have to be 0. sense 0 + 2 equals 2.

Then plug 0 into x in the first equation to check your work, and if it equals the answer givin to you (2), plug 0 into the equation you are trying to solve.

so 9×0 is 0, then 0 - 3 would give you -3

thanks for coming to my ted talk, lmk if it helped!! :)

Answer:

123

Step-by-step explanation:

(2+x)/8 = 2

Multiply both sides by 8 to eliminate the fraction

2+x =16

x=14

        9x14 = 126

    126-3 = 123

La solución de la ecuación de valores absolutos es x = - 1 y la solución de la inecuación de valores absolutos es x ≥ 9/2 ∨ x ≤ 3.

En esta pregunta debemos resolver una ecuación de valores absolutos y una inecuación de valores absolutos, cuya resolución requiere la aplicación de la definición de valor absoluto y procedimientos algebraicos:

|3 x - 1| = |3 · x + 7|

\(\left|\frac{3\cdot x - 1}{3\cdot x + 7} \right| = 1\)

Por definición de valor absoluto:

\(\frac{3\cdot x - 1}{3\cdot x + 7} = 1\,\lor\,-\frac{3\cdot x - 1}{3\cdot x + 7} = 1\)

\(3\cdot x - 1 = 3\cdot x + 7\,\lor \,- 3\cdot x + 1 = 3\cdot x + 7\)

\(NaN \,\lor \, 6\cdot x = -6\)

x = - 1

|4 · x + 3| ≤ 15

Por definición de valor absoluto:

- 4 · x + 3 ≥ - 15 ∨ 4 · x + 3 ≤ 15

- 4 · x ≥ - 18 ∨ 4 · x ≤ 12

x ≥ 9/2 ∨ x ≤ 3

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Answer:

b

Step-by-step explanation:

64 = 2x^2

32 = x^2

x = 4√2

ans is b

Answer:

a. (c+h)(d) represents the cost of renting a car and a hotel room for d days.

  (c+h)(d) = 96d+25

b. d = 5.99. d represents the number of days renting a car and a hotel room.

Step-by-step explanation:

a. (c+h)(d) = 22d+25+74d

                = 96d+25

b. 600 = 96d+25

575=96d

d = 5.99

Answer:

2/6

1/6

2/6

0/6

Step-by-step explanation:

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

\(5(x + 3y) \\ y(2x - 3)\)

Answer:

y=-4/3+2

Step-by-step explanation:

Sin the slope is going up to the left we can already infer that it is going to be a negative. Still we do the equation y2-y1/x2-x1. In this case 0 is x1 and 2 is y1, 3 is x2, and -2 is y2. Once inserted into the equation you get -2-2/3-0 which equals -4/3 and the y intercept is 2 since thats the point shown were it intercepts the y-axis

The other two angle measures of a right triangle with side lengths 5, 12, and 13 can be found using trigonometric ratios. Let's label the sides of the triangle as follows:

- The side opposite the angle we are looking for is 5.
- The side adjacent to the angle we are looking for is 12.
- The hypotenuse is 13.

To find the first angle, we will use the inverse tangent function (tan^(-1)). The formula is:
Angle = tan^(-1)(opposite/adjacent)

Plugging in the values, we get:
Angle = tan^(-1)(5/12)

Using a calculator, we find this angle to be approximately 22.6 degrees (rounded to the nearest degree).

To find the second angle, we will use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, the second angle can be found by subtracting the right angle (90 degrees) and the first angle from 180 degrees.
Second angle = 180 - 90 - 22.6

Calculating this, we find the second angle to be approximately 67.4 degrees (rounded to the nearest degree).

Therefore, the other two angle measures of the right triangle are approximately 23 degrees and 67 degrees.

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Answer:

$36.50

Step-by-step explanation:

To find the price she paid, plug in 14 as m and simplify:

8.5 + 2m

8.5 + 2(14)

8.5 + 28

= 36.5

So, Polly paid $36.50

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

  41.12 square units

Step-by-step explanation:

You want the area of the attached figure showing a triangle of height 4 atop a semicircle of diameter 8.

The area of a triangle is given by ...

  A = 1/2bh

where b is the base and h is the height.

The area of a semicircle is given by ...

  A = (π/2)r²

where r is the radius, half the diameter.

The figure shows a triangle with a base of 8 units and a height of 4 units. Its area is ...

  A = 1/2(8)(4) = 8·2 = 16

The semicircle has a radius of 4, so its area is ...

  A = π/2(4²) = 8π ≈ 25.12

Then the total area of the figure is ...

  triangle area + semicircle area = 16 +25.12 = 41.12 square units

__

Additional comment

Since the triangle and the semicircle have the same width, we can sum the "equivalent" heights of each and consider the result as a rectangle. You are familiar with the fact that a triangle has half the area of a rectangle the same height, so a triangle of height 4 is equivalent to a rectangle of height 4/2 = 2.

Similarly, the equivalent height of the semicircle can be found to be π/4 times its radius. Here, the radius is 4 units, so the semicircle of diameter 8 is equivalent to a rectangle 8 units by 4(π/4) = π units.

This means the entire figure is equivalent to a rectangle 8 units wide and (2+π) units high. That is the calculation shown in the attachment.

<95141404393>

Answer:

(0,21)

Step-by-step explanation:

when you want to find the x intercept make y=0

to find the y intercept make x=0

Answer:

Remember that 6x^2 and -4x are not like terms. I drew a circle around them since those two will come first then goes the 5 and 3. Hopw this helps, thank you !!

Equations are used to express equal expressions, while inequalities are used to unequal expressions.

The equation

A word problem for equation can be represented as:

Four more than twice the age of Alex is equal to one less than three times the age of his brother.

Let the variables be x and y, where:

\(x \to\) Alex's age

\(y \to\) His brother's age

So, the equation is:

\(2x + 4 = 3y - 1\)

In the above equation;

The inequality

A word problem for inequality can be represented as:

Four less than twice the age of Alex is greater than two less than three times the age of his brother.

Let the variables be x and y, where:

\(x \to\) Alex's age

\(y \to\) His brother's age

So, the inequality is:

\(2x - 4 > 3y - 2\)

In the above inequality;

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1)

a. 4

b. 9

c. -7

d. -23

2)

a. F

b. F

c. T

d. F

3)

a. 100 -66 =34

b. 78 x 3 = 234

c. 36 + 24 = 60

d. 4 x 17 x 3 = 204

21)

a. -9 + (-12)

= - 9 - 12

= - 21

b. -17 + (3)

= -17 + 3

= - 14

c. 24 + ( -11 )

= 24 - 11

= 13

d. - 15 + (-10)

= - 15 - 10

= - 25

e. - 63 + ( -42) + 8

= - 63 - 42 + 8

= - 97

f. 101 + ( -11 ) + ( -100 )

= 101 -11 - 100

= - 10

a. Null hypothesis: H₀: µ ≤ 74

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30.

c. The value of Test statistic is -6.325

d. At a 0.05 significance level, the critical value for a right-tailed test is  -1.664.

e. The test statistic (-4.38) is less than the critical value (1.645). Hence we can reject the null hypothesis.

a. Null hypothesis, H0: µ = 74, alternative hypothesis, H1: µ > 74  (there is no significant difference in the mean job satisfaction scores of employees after the telecommuting policy is adopted).

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30. This is a one-tailed test because the alternative hypothesis is directional (i.e., it states that the mean level of satisfaction will increase with telecommuting).

c. The test statistic is calculated using the formula: t = (X - µ) / (s / √n), where X is the sample mean, µ is the population mean, s is the sample standard deviation, and n is the sample size.  Substituting the values given in the question: t = (56 - 74) / (8 / √80) = -6.325

d. The critical value for a one-tailed t-test with 79 degrees of freedom at the 0.05 level of significance is -1.664. Since the calculated t-value of -6.325 is less than the critical value of -1.664, we reject the null hypothesis.

e. Based on the calculated t-value and critical value, we reject the null hypothesis that the mean level of satisfaction is the same before and after telecommuting and accept the alternative hypothesis that telecommuting increases the mean level of satisfaction among employees.

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Answer:

64 degrees

Step-by-step explanation:

The measure of the exterior angle should be that same as the measures of the two remote interior angles. The remote interior angles are 37 & 27, so when you add them together, you get 64.

Hope this helps :-)

The best description for the lines on the graph is OPTION d. Not enough information to tell

To determine the best description for the lines on the graph, it's important to understand the characteristics of each option: skew, perpendicular, parallel, not enough information to tell, or neither.

Skew lines are lines in three-dimensional space that are not parallel and do not intersect. They have different slopes and are not in the same plane. However, since the graph is not described in detail, it is difficult to determine if the lines on the graph are skew.

Perpendicular lines are two lines that intersect at a right angle (90 degrees). If the lines on the graph intersect at a right angle, they can be described as perpendicular. However, without the specific details of the graph, it is impossible to ascertain if the lines meet this criterion.

Parallel lines are lines that do not intersect and are always equidistant. If the lines on the graph appear to run side by side without intersecting, they can be described as parallel. Nonetheless, this can only be confirmed if there is sufficient information about the graph's axes, scales, and line equations.

Without additional information about the graph, it is not possible to determine if the lines are skew, perpendicular, or parallel. Hence, the correct answer is d. Not enough information to tell.

It is important to note that the description of the lines on the graph may be subject to change or refinement based on the specific characteristics and context provided.

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Therefore, the first quartile of the given dataset is 12.

To find the first quartile of a dataset, determine the value that separates the lowest 25% of the data from the rest.

Arrange the data in ascending order:

10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38.

Calculate the position of the first quartile:

The first quartile corresponds to the 25th percentile, which can be calculated as

(25/100) * (n + 1),

where n is the total number of data points.

In this case, n = 11, so (25/100) * (11 + 1) = 3.

Determine the value at the calculated position:

Since the position is a whole number, the first quartile falls between the third and fourth data points.

The third data point is 12, and the fourth data point is 15.

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