Help 24 points plssssssssss

35 cents

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40 cents

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If a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

In forensic science, the angle of impact is the angle at which a blood droplet strikes a surface. It has a range of 0 to 90 degrees and is, by definition, an acute (or right) angle.

Police can partially reconstruct a crime scene by connecting the "strings" that lead from the spatter to an origin area and knowing the angle of contact.

If a bloodstain has a tail or pattern, the angle of impact can be used to forecast how the subsequent bloodstain would look.

So, bloodstain pattern analysis examines the patterns of bloodstains found at crime scenes in an effort to piece together the sequence of events that led to the bloodshed.

Mathematically, we will have:

The angle of impact = sin⁻¹ (wide stain/length stain)

The angle of impact = sin⁻¹ (1.5/3.0)

The angle of impact = 30°

Therefore, if a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

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Answer:

2

Step-by-step explanation:

The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is \(\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\), to use this plug in any two points and solve.

Answer:

The slope is a 2/1 slope.

Step-by-step explanation:

If you look at the slope and pick 2 points, let's say (1,1) and (2,3)

find the difference between the two points by y2-y1/x2-x1

The equation would be 3-1/2-1

The answer to the slope would be 2/1.

Answer:

9/10

Step-by-step explanation:

9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333

Answer: 5/6

Step-by-step explanation:

because with fractions if the bottom is less than it is more than a number bigger tha it

The measure of the largest exterior angle of the quadrilateral is 120 degrees

Quadrilateral are polygons that have four sides. They are regarded as a four sided polygon.

Therefore, the measures of the exterior angles are as follows;

The sum of all the exterior angles of a quadrilateral is 360°. Therefore,

3x + 8x + 9x + 10x = 360°

30x = 360

x = 360 / 30

x = 12

Therefore, the greatest/largest exterior angle is as follows;

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Answer:

Step-by-step explanation:

6^2+B^2=3^2X5

36+b^2=9x5

b^2=9

b=3

Answer:

A

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 64° + 45° = 109° → A

Answer:

A

Step-by-step explanation:

64+45=109

180-109=71

180-71=109 *

*This step is only if you want to check your work!

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices.

10. In the given figure,

l ║m

(3x - 29)° + (8y + 17)° = 180° [Because they are linear pairs]

⇒ 3x -29 + 8y + 17 = 180

⇒ 3x + 8y - 12 = 180

⇒ 3x + 8y = 192 ............ (1)

Now,

8y + 17 = 6x -7 [Alternate interior angles]

⇒ 6x - 8y = 24 ..............(2)

On adding (1) and (2),

(3x + 8y) + (6x - 8y) = 192 + 24

simplifying the above equation, we get

⇒9x = 216

⇒ x = 216/9 = 24

⇒ x = 24

Now, 6x - 8y = 24

⇒ 8y = 6(24) - 24

⇒ y = (144 - 24)/8

⇒ y = 120/8 = 15

So, x = 24 and y = 15

11. In this given figure,

l ║m

7x - 23 = 49 + 3x ...... (Alternate interior angles)

⇒ 7x - 3x = 49+23

⇒ 4x = 72

⇒ x = 18

11y -1 = 3x [Alternate exterior angles]

⇒ 11y - 1 = 3 x 18

⇒ 11y = 54 + 1

⇒ 11y = 55

⇒ y = 5

Therefore, the value of x = 18 and y = 5

12. 11. In this given figure,

l ║m

3x - 4 = 5x - 38 [Alternate interior angles]

⇒ 5x - 3x = 38 - 4

⇒ 2x = 34

⇒ x = 17

7y - 20 + 5x - 38 + 90° = 180° [Angle sum property of a triangle]

⇒ 7y - 20 + 85 - 38 + 90 = 180

⇒ 7y + 117 = 180

simplifying the above equation, we get

⇒ 7y = 180 - 117

⇒ 7y = 63

⇒ y = 63/7 = 9

Therefore, the value of x = 17 and y = 9

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Answer:

3600

Step-by-step explanation:

3x(y+4) 3 x ( y + 4 ); x = 2 and y = 6

Evaluate the value

3(2)[(6) + 4] 3(2)[(6) + 4 ]

6 × 10 × 6 × 10

3600

-TheUnknownScientist

Answer:

\(g^-1(g(13)) = 13\)

Step-by-step explanation:

Step 1: Solve g(13)

g(13) = 3(13) - 4

g(13) = 35

Step 2: Solve \(g^-1(35)\)

g^-1(35) = 35 = 3x - 4

39 = 3x

x = 13

the values of the six trigonometric functions are:

1. Sine (sinθ) = √7/√(x^2 + y^2)

2. Cosine (cosθ) = -3/√(x^2 + y^2)

3. Tangent (tanθ) = (√7)/-3

4. Cosecant (cscθ) = √(x^2 + y^2)/√7

5. Secant (secθ) = -√(x^2 + y^2)/3

6. Cotangent (cotθ) = -3/(√7)

To find the values of the six trigonometric functions for the angle in standard position determined by the point (-3, √7), we can use the following formulas:

Let's label the coordinates of the point (-3, √7) as (x, y).
We can calculate the values as follows:

1. Sine (sinθ) = y/r = √7/√(x^2 + y^2)

2. Cosine (cosθ) = x/r = -3/√(x^2 + y^2)

3. Tangent (tanθ) = y/x = (√7)/-3

4. Cosecant (cscθ) = 1/sinθ = √(x^2 + y^2)/√7

5. Secant (secθ) = 1/cosθ = -√(x^2 + y^2)/3

6. Cotangent (cotθ) = 1/tanθ = -3/(√7)

Therefore, for the angle in standard position determined by the point (-3, √7), the values of the six trigonometric functions are:

1. Sine (sinθ) = √7/√(x^2 + y^2)
2. Cosine (cosθ) = -3/√(x^2 + y^2)
3. Tangent (tanθ) = (√7)/-3
4. Cosecant (cscθ) = √(x^2 + y^2)/√7
5. Secant (secθ) = -√(x^2 + y^2)/3
6. Cotangent (cotθ) = -3/(√7)

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Answer:

It is a function

Step-by-step explanation:

The x-values do not repeat so it is a function.

Answer:

The answer is letter A

Step-by-step explanation:

Area of a circle in terms of radius:

A circle of radius = 6.996 or 7, or diameter = 13.99 or circumference = 43.96 meters

Area = π · r^2 = 3.14 * 7^2 = 153.86 square meters

Answer:

3/50

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

i took the assignment<3

Answer:

29

Step-by-step explanation:

i think this is helpful

Translating the phrases into algebraic equation, peter's number would be: 29.

Let the unknown value be variable x, then translate the phrases given into algebraic expressions and solve for the unknown variable.

Let Peters number be x

-6(x - 14) = -90

Solve for x

-6x + 84 = -90

-6x = -90 - 84

-6x = -174

x = 29

Therefore, translating the phrases into algebraic equation, peter's number would be: 29.

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Answer:

B: 3

Step-by-step explanation:

The expression would be 14m + 23 = 65.

14m + 23 - 23 = 65 - 23 =

14m = 42

14m ÷ 14 = 42 ÷ 14 =

m = 3

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Answer: f(x) = 3

Step-by-step explanation: because if you substitute 2(1) = 2 and 2+1 equals 3.

If an auditorium has 20 rows of seats. there are 20 seats in the first row, 21 seats in the second row, 22 seats in the third row, and so on. then,  there are 39 seats present in the 17th row.

The given data is as follows:

Number of rows of seats = 20

Number of seats in the first row = 20

Number of seats in the second row = 21

Number of seats in the third row = 22 and so on.

Let's calculate the common difference between the seats,

common difference = 21-20 = 1 or 22-21 = 1

Therefore common difference = 1

Then the number of the seats in 17th row will be

The number of the seats = 20 + (20 - 1)* 1

The number of the seats= 39 seats.

Therefore, there are a total of 39 seats present in the 17th row.

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Answer:

60 degrees each

Step-by-step explanation:

180/3=60

The amount of 20% and 50% solution that Samantha needs to mix is 70 milliliters and 30 milliliters respectively.

Let the amount of 20% solution that Samantha needs to mix be x millileters.

Therefore, the amount of 50% solution Samantha needs to mix will be (100 - x) millileters.

According to the question, Samantha needs to create 100 millileters of a 29% solution.

The expression below can be used to calculate the volume of the mixture obtained after mixing x milliliters of the 20% solution and (100 - x) milliliters of the 50% solution:

0.20x + 0.50(100 - x) = 0.29(100)

Simplifying and solving for x:

0.20x + 50 - 0.50x = 29

x = (29 - 50) / (-0.30)

x = 70 milliliters

Therefore, the amount of 20% solution that Samantha needs to mix is 70 milliliters.

And, the amount of 50% solution that Samantha needs to mix is 30 milliliters.

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Answer: We have to find the sin(theta) provided the cos(theta) function, the visualization of the problem is as follows:

The diagram visualization is:

Therefore the x is:

Therefore the answer is:

The answer is Option(C).

(a) The expected value of the height obtained using the instrument once is 200 feet and the variance is 400 square feet.

Let X be the height obtained using the instrument once.

Then X can take on the values of 198, 199, 200, 201, or 202 with equal probabilities of 1/5 each.

The expected value of X is given by:

E(X) = ΣxP(X=x) = (198)(1/5) + (199)(1/5) + (200)(1/5) + (201)(1/5) + (202)(1/5) = 200

The variance of X is given by:

Var(X) = E(X^2) - [E(X)]^2

To find E(X^2), we have:

E(X^2) = Σx^2P(X=x) = (198^2)(1/5) + (199^2)(1/5) + (200^2)(1/5) + (201^2)(1/5) + (202^2)(1/5) = 40000/5 = 8000

Thus, the variance of X is:

Var(X) = 8000 - (200)^2 = 400

Therefore, the expected value of the height obtained using the instrument once is 200 feet and the variance is 400 square feet.

(b) The estimated probability that in 18 independent measurements of the tower, the average of the measurements is between 199 and 201, inclusive, is approximately 0.8664.

Let X1, X2, ..., X18 be the heights obtained in 18 independent measurements of the tower. Then, the sample mean of these measurements, denoted by X-bar, is given by:

X-bar = (X1 + X2 + ... + X18)/18

The expected value of X-bar is the same as the expected value of a single measurement, which is 200 feet. The variance of X-bar is given by:

Var(X-bar) = Var(X1 + X2 + ... + X18)/18^2

Since the measurements are independent, we have:

Var(X1 + X2 + ... + X18) = Var(X1) + Var(X2) + ... + Var(X18)

                                    = 18(400) = 7200

Therefore, the variance of X-bar is:

Var(X-bar) = 7200/18^2 = 20/9

To estimate the probability that X-bar is between 199 and 201, we standardize X-bar by subtracting its mean and dividing by its standard deviation:

Z = (X-bar - 200)/(2/3) = 3(X-bar - 200)/2

Then, we have:

P(199 ≤ X-bar ≤ 201) = P(-1.5 ≤ Z ≤ 1.5) ≈ 0.8664

Therefore, the estimated probability that in 18 independent measurements of the tower, the average of the measurements is between 199 and 201, inclusive, is approximately 0.8664.

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Here are all possible rolls:  Count them, there are 36

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)  

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)  

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Answer:

Step-by-step explanation:

Rolling 2 dice gives a total of 36 possible outcomes.

Here is the sample space when we roll 2 dice:

Answer: because it's is involved in everyday life, without math we would never have a fraction of the technology we have today

Step-by-step explanation:

Answer: we have to use our brain- =w=

Step-by-step explanation:

so basically right we should only need to know how to count money and maybe multiply bc thats what u do in life why do we need to do algebra for real life ocasions- smh

Step-by-step explanation:

PYTHAGORAS THEOREM

\( {c}^{2} - {b}^{2} = {a}^{2} \\ {7}^{2} - {5}^{2} = {x}^{2} \\ 49 - 25 = 24 \\ \sqrt{24} = 4.89897948557\)

To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

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Answer:

4

Step-by-step explanation:

42*2=84

84/21

The coterminal angle to -ㅠ/2 in the range between 0 and 2ㅠ radians is 3ㅠ/2.

For any angle A, all the coterminal angles are of the form:

B = A + n*(2ㅠ).

Where n is an integer different than zero.

In this case, the angle is A = -ㅠ/2

So the coterminal angles are of the form:

B = -ㅠ/2 + n*(2ㅠ)

We want it to be between 0 and 2ㅠ, so we can define n = 1, then we get:

B = -ㅠ/2 + (2ㅠ) = -ㅠ/2 + ((4/2)ㅠ) = 3ㅠ/2

Then we can conclude that the correct option is b.

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