A) 30°
B) 36°
C) 42°
D) 55°
**Include explanation**
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Answer:

On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).

(see screenshot)

Step-by-step explanation:

The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.

(-4,3), (1,2) and (1,3) would also work as well.

Based on the options provided, the triangle with points (-4, 3), (-4, -2), (1, -2) would be the most helpful. Thus, the third option is correct.

To find the distance between the points (-4, 3) and (1, -2) on the coordinate plane, the most helpful triangle would be the one with points (-4, 3), (-4, -2), and (1, -2).

A triangle with points (-4, 3), (-4, -2), (1, -2):

This triangle includes both of the given points and can be used to calculate the distance between them.

Therefore, based on the options provided, the triangle with points (-4, 3), (-4, -2), (1, -2) would be the most helpful in finding the distance between the points (-4, 3) and (1, -2) on the coordinate plane.

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Answer:

15%

Step-by-step explanation:

9/60 = 0.15

The percentage of the club members voted for Teresa of approximately 15% of the chess club members voted for Teresa.

To calculate the percentage of club members who voted for Teresa, we can use the following formula:

Percentage = (Number of votes for Teresa / Total number of club members) × 100

Given that Teresa received 9 votes and the chess club has 60 members, we can plug these values into the formula:

Percentage = (9 / 60) × 100

Now, let's calculate the percentage:

Percentage = (0.15) × 100

Percentage ≈ 15%

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Answer:

y=-2x+9

Step-by-step explanation

you would subtract  2x on both sides resulting in y=-2x+9 and you have the answer. Your slope is is -2 and y-intercept is 9

Answer:

4,950

Step-by-step explanation:

Answer:

According to my calculations, my answer is $4,950.

Step-by-step explanation:

Given:

Surface area = 4,362 yards

Length = 36 yard

Width = 21 yard

Height = c

To find:

Volume of the rectangular prism.

Solution:

Surface area formula:

[tex]SA = 2(lw+wh+lh)[/tex]

Substitute the given values.

[tex]4362 = 2(36\times21 +21 \times c+36 \times c)[/tex]

[tex]4362 = 2(756+21 c+36 c)[/tex]

[tex]4362 = 2(756+57c)[/tex]

[tex]4362 = 1512+114c[/tex]

Subtract 1512 from both sides.

[tex]4362- 1512 = 1512+114c - 1512[/tex]

[tex]2850=114c[/tex]

Divide by 114 on both sides, we get

25 = c

Height = 25

Volume = length × breadth × height

             = 36 × 21 × 25

             = 18900

Volume of rectangular prism is 18900 cubic yards.

The alternate interior angle to ∠BEF is ∠DEB, which is on the opposite side of the transversal line t and lies between the parallel lines m and n.

In the context of geometry and specifically the study of parallel lines and transversals, alternate interior angles are pairs of angles on opposite sides of the transversal but inside the two lines.

Since line m is parallel to line n with transversal line t, the alternate interior angle to ∠BEF should also be on the opposite side of the transversal and inside the parallel lines, but not adjacent to ∠BEF. Considering the choices presented and assuming the standard notation for angles in geometric figures, ∠DEB would be the alternate interior angle to ∠BEF since it is non-adjacent and lies between line m and line n on the opposite side of the transversal.

Answer: 1/6 pi

Step-by-step explanation:

1. Formula: Volume of a sphere= 4/3pi x 1/2^3

2. Solve: 1/2^3 = 1/8

3. Place 1/8 into problem: 4/3pi x 1/8

4. Solve: 4/3pi x 1/8 = 4/24pi

5. simplify

Answer: 1/6pi

Answer:

65

Step-by-step explanation:

6+5=11

Answer:

E 551.625 ft^2

Step-by-step explanation:

We have a rectangle and a circle (2 1/2 circles)

The area of the rectangle is

A = l*w = 15*25 =375

The area of the circle

d =15 so r = d/2 = 7.5

A = pi * r^2

   = 3.14 (7.5)^2

   =176.625

Add the 2 together

375+176.625 =551.625 ft^2

Answer:

E is the correct answer

Step-by-step explanation:

176.71ft^2 for the two semicircles

375

Answer:

144 units^3

Step-by-step explanation:

The volume of a triangular prism is calculated like this : 1/2 ×b×h×l

1/2 × 12 × 8 × 3 = 144 units^3

Answer:

Division

Step-by-step explanation:

Certain Outcomes/Total Outcomes = Probability

The operation used is division

Answer:

X° + 2x° + 45° = 180°

X = 45°, 2x = 90°

Step-by-step explanation:

Since the angles in a triangle sums up to 180

And the angles in this particular triangle is measured as 2x° + x° + 45° = 180

With this equation, we can find the value of x and 2x

2x + x + 45 = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

Now divide both sides by 3

3x/3 = 135/3

X = 45

Therefore, the angles of that triangle are x° = 45, 2x°= 45 × 2 = 90° and the third angle which was given to us as 45°

Answer:

300-20x<100

Step-by-step explanation:

More than, is like greater than, making it a greater than sign,

$100 is the number that is being compared to the other two, so it goes on the other side

$300 is the inital price, so it has no variable

Last, the $20 represents the cost per shirt giving it an unknown variable

I hope this helps u

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Answer:

=15 square cm.

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Formula= base*height divide by 2

Answer:

No solutions. You can’t have a negative absolute value.

Answer:

B pi/4 the volume of the pyramid or pi/4 (2r)^2 (h)/3or 1/3 πr^2h.

Step-by-step explanation:

i did this b4

The solution is, the volume of the cone equals π/4  the volume of the  pyramid.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

As given in the question, we know that:

The ratio of the area of the circle to the area  of the square is π/4

The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*π

The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V =  1/3*h*4

=> the ratio of volume of the cone to the pyramid is:

= V1/V2

= (1/3*h*π ) / ( 1/3*h*4 )

= π/4

So, we can conclude that the volume of the cone equals π/4  the volume of the  pyramid.

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Answer:

( x+4) ( x-1)

Step-by-step explanation:

x^2 + 3x – 4

What two numbers multiply to -4 and add to 3

4 * -1 = -4

4+-1 = 3

( x+4) ( x-1)

The factors of x^2 + 3x - 4 are (x + 4) and (x - 1). To find the factors, identify two numbers that multiply to -4 and add up to 3. The factored form of x^2 + 3x - 4 is (x + 4)(x - 1).

The factors of x2 + 3x - 4 are (x + 4) and (x - 1).

To find the factors, you need to look for two numbers that multiply to -4 and add up to 3 (the coefficient of the x-term).

Therefore, x2 + 3x - 4 = (x + 4)(x - 1).

The scatterplot that shows the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.

When two variables increases together, they are said to have positive correlation.

Similary when one is increasing and another is decreasing, they are said to have negative correlation.

From the given options;

We can see that Option A, zero correlation

Option B, less than 1

Option C, 1 or greater than 1

Option D, -1 or less than 1

Therefore, the scatterplot demonstrates the strongest relationship between two quantitative variables is;

Option C, "A graph has x on the x-axis, and y on the y-axis. Points increase loosely together".

The complete question is below:

"A. A graph has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.

B. A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.

C. A graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

D. A graph has x on the x-axis, and y on the y-axis. Points decrease loosely together."

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Final answer:

A scatterplot that shows a strong relationship between variables x and y will have points tightly clustered around the regression line, indicating x has a strong influence on y. It is a key visual tool to assess the potential for linear regression, but caution is needed as it does not prove causation and outliers or non-linear trends can influence interpretations.

Explanation:

Understanding Scatterplot Relationships

When determining the strength of a relationship between variable x and variable y on a scatterplot, one looks for how closely the data points follow a particular trend or pattern. A scatterplot with a strong relationship between the variables will show that the points are tightly clustered around a line, known as the regression line, which passes through the mean of the data set. This clustering signifies that x has a strong influence on y.

However, it's important to note that a strong relationship does not confirm causation. For a scatterplot to represent a good candidate for linear regression, the pattern of points should not only be tight but also linear. If the data shows an obvious non-linear relationship, or if there are outliers that significantly affect the correlation coefficient, one should be cautious in interpreting the results. The decision to use linear regression is best made after a visual inspection of the scatterplot and consideration of the relationship's linearity.

To visualize a correlation and assess the potential influence one variable may have on another, a researcher can use a scatterplot. This graph plots points at the intersection of the paired values on Cartesian coordinates, providing a clear image of the relationship.

Answer:

b and d  

Step-by-step explanation:

Points B and D are 4 units apart in the given coordinate plane so option (D) will be correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Given the coordinates A, B, C, and D

Now,

Distance between any two coordinates can be measured by a number of grids between them if they are colinear but if they are not we need to find the inclined distance.

Since A and C are 4 grids up and down but C is not co-linear with A so distance will be more than 4.

Coordinate B and D are colinear and has four grid distance so it will be the answer.

Hence "Points B and D are 4 units apart in the given coordinate plane".

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The given question has missing graph and option which is shown below ;

Answer:

-6, -7, -8

Step-by-step explanation:

Let's isolate the x by dividing both sides by -2. However, we need to be careful because when we divide or multiply an inequality by any negative number, we MUST switch the inequality sign. So, after we divide by -2, we get:

x < -5

So, we can just list any values of x that are smaller than -5, and they'll work. For example, we can have: -6, -7, -8, -9, ...

nothing just that the person above me deserves brainly

Answer:

Angles F and C are congruent

Step-by-step explanation:

In the figure attached, the missing image is shown.

From the figure, it can be seen that Angles F and C are opposite angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent .

Answer:

Step-by-step explanation: f and c should be correct i just took the test

Answer:

The area of sail A is One-fourth the area of sail B.

Step-by-step explanation:

Answer:

i feel like it might be one half because it says that the sides of triangle A is half of the sides on triangle B and it asks what area do these have in common

Step-by-step explanation:

Answer:

[tex]Length\,\, of\,\, the\,\, track=420.44\,m\\\\Area\,\,covered \,\,by\,\, the\,\, track=5893.06\,m^2[/tex]

Step-by-step explanation:

Length of the Track:

Perimeter of the rectangle + Circumference of the two semicircle

Perimeter of the rectangle= [tex]2(Length+Width)[/tex]

[tex]Length=92\,m\\Width=46\,m[/tex]

Perimeter of the rectangle:

              [tex]=2(92+46)\\\\=2(138)\\\\=276\,m[/tex]

Circumference of Two Semicircle with same radius:

[tex]r=\dfrac{46}{2} =23\,m[/tex]

[tex]Circumference=2\times \pi \times r\\\\[/tex]

   [tex]=2\times 3.14\times 23\\\\=6.28 \times 23\\\\=144.44\,m[/tex]

Total Length of the track is :

[tex]=276+144.44\\\\=420.44\,m[/tex]

Area Covered by the track is :

Area of the two semicircle + Area of the rectangle

         [tex]=(\pi \times r^2) + (Length\times Width)\\\\=(3.14\times (23\times 23 ))+(92\times 46)\\\\=1661.06 +4232\\\\=5893.06\,m^2[/tex]

The total length of the oval track is 420.51m and the area enclosed by the track is 5893.90m².

The dimensions of the rectangular part of the track are 46m and 92m respectively. Thus, the total distance around the rectangle (perimeter) is 2*(46m + 92m) = 276m. The two semicircles on either end of the rectangle form a complete circle with a diameter of 46m. The circumference of this circle (which equates to the remaining path length of the race track) is given by the formula πd or π*46m ≈ 144.51m. Thus, the total length of the track is 276m + 144.51m = 420.51m.

As for the area enclosed by the track, it consists of two main parts: the area of the rectangle and the area of the circle. The area of the rectangle is given by the formula L*W, or 46m*92m = 4232m². The area of the circle is given by the formula π(r²), where r is the radius of the circle. So, π(23m²) equals approximately 1661.90m². Adding the two results together, the total area enclosed by the track is 4232m² + 1661.90m² = 5893.90m².

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Answer:

14

Step-by-step explanation:

As you are only pulling out one marble, the colors are irrelevant; each marble has exactly one 'chance' at getting pulled out. There are 14 marbles, so there are 14 possible outcomes. [Based on how basic the problem is, I tried to stick to basic mathematical terms].

Answer:14

Step-by-step explanation:

I just did it :)

The perimeter of square ABCD is 8√13 units

from the question, we have the following parameters that can be used in our computation:

The square

The side length (x) of the square is calculated as

x² = 4² + 6²

So, we have

x = 2√13

The perimeter is calculated as

P = 4 * 2√13

Evaluate

P = 8√13

Hence, the perimeter is 8√13

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For this case we have that by definition, the density is given by:

[tex]d = \frac {M} {V}[/tex]

Where:

M: It is the mass of the diamond

V: It is the volume of the diamond

According to the data of the statement we have:

[tex]d = 3.5 \frac {g} {cm ^ 3}\\M = 0.10 \ g[/tex]

So the volume is:

[tex]V = \frac {M} {d}\\V = \frac {0.10 \ g} {3.5 \frac {g} {cm ^ 3}}\\V = 0.02857\\V = 0.03 \ cm^3[/tex]

Thus, the volume of the diamond is approximately [tex]0.03 \ cm ^ 3[/tex]

Answer:

[tex]0.03 \ cm ^ 3[/tex]

Step-by-step explanation:

On the left:  possible outcome has the value of 1 (1) = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 1 (1)= [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 2

= [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{3}[/tex]

=  [tex]\frac{1}{6}[/tex]

On the left:  possible outcome has the value of 1  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 2 = [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 1 = [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 3

=  [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]  + [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]

= [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 1  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 3 = [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 2= [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 4

= [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]  + [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]

= [tex]\frac{1}{3}[/tex]

On the left:  possible outcome has the value of 2  = [tex]\frac{1}{2}[/tex]

On the right: 1 possible outcome has the value of 3 = [tex]\frac{1}{3}[/tex]

=> the probability of possible P(sum)= 5

= [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{3}[/tex]

=  [tex]\frac{1}{6}[/tex]

The probability of getting sum 2 is [tex]\frac{1}{6}[/tex]

The probability of getting sum 3 is [tex]\frac{1}{3}[/tex]

The probability of getting sum 4 is [tex]\frac{1}{3}[/tex]

The probability of getting sum 5 is [tex]\frac{1}{6}[/tex]

Two spinners shown in the question.

First spinner is divide into two equal parts.

Second spinner is divided into three equal parts.

The probability of getting sum 2 is,

             [tex]P(sum=2)=\frac{1}{2} *\frac{1}{3}\\ \\P(sum=2)=\frac{1}{6}[/tex]

The probability of getting sum 3 is,

             [tex]P(sum=3)=(\frac{1}{2}*\frac{1}{3}) +(\frac{1}{2}*\frac{1}{3})\\\\P(sum=3)=\frac{1}{3}[/tex]

The probability of getting sum 4 is,

             [tex]P(sum=4)=(\frac{1}{2}*\frac{1}{3}) +(\frac{1}{2}*\frac{1}{3})\\\\P(sum=4)=\frac{1}{3}[/tex]

The probability of getting sum 5 is,

             [tex]P(sum=5)=\frac{1}{2} *\frac{1}{3}\\ \\P(sum=5)=\frac{1}{6}[/tex]

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Answer:

81

Step-by-step explanation:

Finally thank you bro

Answer:

81

Step-by-step explanation:

9 + 9 + 9 + 9 + 9 + 9 +9+9+9

or

9^2 = 81

Hope this helps