1. Find the area of the following two triangles. To find needed information use any of the strategies or procedures you have developed: -draw an altitude as an auxiliary line.
-use right triangle trigonometry
-use the Pythagorean theorem
-use the Law of Sines or the Law of Cosines to find needed information.​

Answer:

38%

Step-by-step explanation:

Answer:

the answer is 38%

Step-by-step explanation:

multiply 19 by 2 because 50 is half of 100

Answer:

Distributive Property of Addition

Step-by-step explanation:

The Distributive Property of Addition states that a(b+c) = ab + ac

Let me know if this helps!

Answer:

y = -2x + 9

Step-by-step explanation:

The slope of the line can be found from 2 points.

(y2-y1)/(x2-x1)

7-3/1-3

4/-2

= -2

-2 is the slope.

The y-intercept is 9.

The equation of a line is y=mx+b.

m is the slope, and b is the y-intercept.

y = -2x + 9

Outliers should be defined as values that are more than three standard deviations from the mean. Outliers are statistical points that lie outside the range of values normally found a particular dataset.

These are the values that have been marked as exceptional or rare compared to other data points.An outlier is any data point that stands out from the rest of the data in some way.

For example, an outlier can be a data point that is much larger or much smaller than the other data points, or a data point that is located far away from the other data points.The outliers can occur in any direction. They can be extremely high or extremely low. The important thing is that they are significantly different from the rest of the data and can have a significant impact on statistical analyses that are performed on the data.

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Therefore, the correct option is (b) 46 that is the number of students who like Twix and Reese's peanut butter cups only (region D) by principle of inclusion-exclusion, we need to subtract the number of students who like Snickers, as well as the number of students who like all three kinds of candy, from the number of students who like Twix and Reese's peanut butter cups along with one or both of the other kinds of candy.

We can start by using the principle of inclusion-exclusion, which tells us that:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

where |X| denotes the number of elements in set X.

Using the numbers given in the problem, we have:

|A| = 129

|B| = 118

|C| = 145

|A ∩ B| = 22

|B ∩ C| = 54

|A ∩ C| = 55

|A ∩ B ∩ C| = 8

Substituting these values into the formula, we get:

|A ∪ B ∪ C| = 129 + 118 + 145 - 22 - 55 - 54 + 8 = 269

This tells us that 269 students like at least one of the three kinds of chocolate candy.

To find the number of students who like Twix and Reese's peanut butter cups only (region D), we need to subtract the number of students who like Snickers, as well as the number of students who like all three kinds of candy, from the number of students who like Twix and Reese's peanut butter cups along with one or both of the other kinds of candy:

|D| = |B ∩ C| - |A ∩ B ∩ C|

= 54 - 8

= 46

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the area of the surface of this design is 31 in long

Answer:

392 inches²

Step-by-step explanation:

10 inches × 6 inches = 60 inches²

60 inches² × 2 = 120 inches²

----------------------------------------------------------------------------------------------------------

(6 inches + 4 inches) × 6 inches = 10 inches × 6 inches = 60 inches²

60 inches² × 2 = 120 inches²

----------------------------------------------------------------------------------------------------------

(10 inches × 6 inches) + (4 inches × 4 inches) = 60 inches² + 16 inches² = 76 inches²

76 inches² × 2 = 152 inches²

----------------------------------------------------------------------------------------------------------

Add them all together ~

120 inches² + 120 inches² + 152 inches² = 392 inches²

Answer:

C=pi x diameter

diameter=C/pi

I dont know what your teacher wants in terms of pi but lets use 3.14 and π

907.46/3.14=289.0 units

907.46/π=288.85

Answer:

Step-by-step explanation:

To find the perimeter of an equilateral triangle is equalled to 3s.

35 x 3

105

The probability of the event that exactly one of the colors that appears face up is red is 4/9.

The probability of the event that at least one of the colors that appears face up is red is 19/27.

(a) To find the probability of exactly one of the colors that appears face up being red, we can consider the different ways in which this can happen:

Red on the first roll, non-red on the second and third rolls.

Non-red on the first roll, red on the second roll, non-red on the third roll.

Non-red on the first and second rolls, red on the third roll.

For each of these cases, the probability can be calculated as follows:

Probability of red on first roll: 2/6 = 1/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (1/3) * (2/3) * (2/3) = 4/27

Probability of non-red on first roll: 4/6 = 2/3

Probability of red on second roll: 2/6 = 1/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (2/3) * (1/3) * (2/3) = 4/27

Probability of non-red on first roll: 4/6 = 2/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of red on third roll: 2/6 = 1/3

Total probability for this case: (2/3) * (2/3) * (1/3) = 4/27

Adding up the probabilities for each case gives us the total probability of exactly one of the colors that appears face up being red:

4/27 + 4/27 + 4/27 = 4/9

Therefore, the probability of the event that exactly one of the colors that appears face up is red is 4/9.

(b) To find the probability of the event that at least one of the colors that appears face up is red, we can consider the complement of the event, which is that none of the colors that appear face up is red. The probability of this can be calculated as follows:

Probability of non-red on first roll: 4/6 = 2/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (2/3) * (2/3) * (2/3) = 8/27

Therefore, the probability of at least one of the colors that appears face up being red is:

1 - 8/27 = 19/27

Thus, the probability of the event that at least one of the colors that appears face up is red is 19/27.

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Answer:

Step-by-step explanation:

3*√6 + 2√24 + 7√54= P

3√6 + 2√2*2*6 + 7√3*3*6

3√6 + 2*2√6+7*3√6

3√6 + 4√6 + 21√6

28√6 = the perimeter.

Answer:

Step-by-step explanation:

2x² - \(\frac{1}{2}\) x

x + 2

2x²

\(\frac{x}{2}\)

The frictional loss will be greater for aspect ratio of 2 as friction will be more when the height of the duct is higher compared to the increase in width.

In a straight duct with constant cross sectional area , the velocity of the water is changed. The change in static pressure is the frictional loss .

In the duct the energy is constant. Therefore when water moves upwards with the increase in height the frictional loss or the pressure loss will be more more.

When width increases there will be less pressure, So frictional loss will be increased with height.

Let the width and height be a and b respectively.

now area = ab

and a\b =2

or, a = 2b

again a\b = 4 or, a = 4b

if ab is constant then the height for the aspect ratio of 4 is greater.

Therefore there will be more frictional loss for the increased height.

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We know the slope intercept formula. Using the formula, we can find the slope.

Now, let's compare both equations to find out what is the slope.

            y = 4x - 6

We can clearly see that m is replacing with 4. That basically means the slope is 4.

Hoped this helped.

\(-BrainiacUser1357-\)

To flush twice the volume of water contained in the system, you would need to flush 18.2 gallons x 2 = 36.4 gallons of water through the system.

To calculate the volume of water contained in the system, you would use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the pipe (half the diameter), h is the length of the pipe, and π is approximately 3.14.

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Answer:

i dont know

Step-by-step explanation:

The correct identification is that Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A.

Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A.

In the given description, Graph B is described as having blue dots that are a much closer fit to the red line throughout the graph, except for slight deviations at the top-right of the graph. This indicates that the points in Graph B align more closely with the theoretical line, suggesting a closer approximation to a Normal distribution.

On the other hand, Graph A is described as having blue dots that start around the coordinate negative three, negative two, and approach the line around the coordinate negative one, negative one. Additionally, the description mentions that the blue dots waver a little above and below the line as the x-value increases. This implies that the points in Graph A do not align as closely with the theoretical line as in Graph B, indicating a lesser approximation to a Normal distribution.

The correct identification is that Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A.

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Answer:

11/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(5x + 4y)/2

x = 3

y = -1

Step 2: Evaluate

Answer:

\(\frac{11}{2}\)

Step-by-step explanation:

\(\frac{5x+4y}{2}\\=\frac{5(3)+4(-1)}{2}\\=\frac{15-4}{2}\\=\frac{11}{2}\)

Answer:

9.43 ft

Step-by-step explanation:

First, we need to find the area of the entire circle(shaded & unshaded), which is 12.57, with a radius of 2 ft. Next, we find the area of the white area, and NOT the shaded area, which is 3.14, with a radius of 1 ft. Now, we need to subtract the white area(3.14) from the total area(12.57), which is 9.43.

Hope this helps!

Both -5 and 1 are extraneous solution to the equation

A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

c²+2c-4-1-2c = 0

c²+2c-2c -4-1 = 0

c²-5 = 0

Therefore both -5 and 1 are extraneous solution in the equation.

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(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

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Answer:

C. y = |x| – 1

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

x

y

−

2

1

−

1

0

0

−

1

1

0

2

1

Answer:

x = 19

Step-by-step explanation:

The angles sum are complementary so they will sum to 180

(6x+9) +(4x-19) = 180

Combine like terms

10x - 10 = 180

Add 10 to each side

10x-10+10 =180+10

10x =190

Divide by 10

10x/10 = 190/10

x = 19

Answer:

Step-by-step explanation:

y = 3x+4

Let x = 0 to find the y intercept

y = 3*0+4

y =4

The y intercept is 4

Answer:

4

Step-by-step explanation:

Slope equation: y=mx+b

m=slope

x=rate of change

b=y-intercept

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The statements about the given bar graph that are false are Statments A and B while Statement C is is True.

From the bar graph attached, we can see the different amount of times that different lengths of ribbons occur. Thus, we can answer the questions;

A) From the given graphs, we see that the ribbon that occurs the most is ribbon with length 10⁴/₈ as it occurs 7 times. Thus, statement A is False.

B) From the graph, the shortest length is 9⁷/₈ while the longest length is 11²/₈. Thus;

Sum of the longest and shortest lengths = 9⁷/₈ + 11²/₈ = 22¹/₈

Thus, statement B is false.

C) Difference between the longest and shortest lengths = 11²/₈ - 9⁷/₈ = 11/8 = 2¹/₈

Thus, statement C is True

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

Step-by-step explanation:

The lengths of the tangents drawn from an external point tot he circle are equal.

RA = RB = 12.2

QA = QC = 5.9

PC = PQ - QC = 27.4 - 5.9 = 21.5

PC = PB = 21.5

QR = QA + RA = 5.9 + 12.2 = 18.1

PR = PB + RB = 21.5 + 12.2 = 33.7

Perimeter = PQ  +  QR + PR

                 = 27.4 +  18.1 + 33.7

                 = 79.2

Answer:

yes it is an integer because it is a number