Identify the scale factor from A to B

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The time taken for the truck to travel on the course from A to B to C to D is 9.3 s.

The speed of an object is the ratio of the distance covered by the object while in motion to the time taken. It can be expressed as;

speed = distance/ time

So that given that ΔABD ≅ ΔCBD, then;

AB ≅ BC = 50 feet

Ad ≅ DC = 40 feet

BD = 30 feet

So that the total distance to be covered by the truck is;

AB + BC + CD = 50 + 50 + 40

                       = 140 feet

If the truck moves with a speed of 15 feet per second, time taken to cover the distance will be;

time = distance/ speed

       = 140/ 15

       = 9.3333

time = 9.33 seconds.

Therefore it will take the truck 9.3 seconds to cover the distance.

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Answer:

The coordinates of b are: B=(-7,-8)

Step-by-step explanation:

We are given the coordinates of the midpoint of \(\overline{\text{AB}}\) as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

\(\displaystyle x_m=\frac{x_a+x_b}{2}\)

\(\displaystyle y_m=\frac{y_a+y_b}{2}\)

We know xa=-3 and xm=-5. Solve the first equation for xb:

\(2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a\)

Substituting:

\(x_b=2\cdot (-5)-(-3)=-10+3\)

\(x_b=-7\)

We can solve the second equation for xb and get:

\(y_b=2y_m-y_a\)

Since ya=4 and ym=-2, then:

\(y_b=2\cdot (-2)-(4)=-4-4\)

\(y_b=-8\)

Thus, the coordinates of b are: B=(-7,-8)

Answer:4.62x10^13

Step-by-step explanation:

Types of quadrilaterals are parallelograms, rectangles, squares, rhombi, trapezoids, kites, and isosceles trapezoid.

A polygon having four sides and four angles are called a quadrilateral. Quadrilaterals come in a wide variety of forms, each with its own set of qualities and attributes.

Some of the most typical varieties are listed below:

Parallelogram - A quadrilateral has opposing sides that are equally long and parallel.

Rectangle - A parallelogram with all angles at 90 degrees is referred to as a rectangle.

Square - A rectangle with equally long sides.

Rhombus - A parallelogram with equal-length sides is referred to as a rhombus.

Trapezoid - A quadrilateral with just one set of diagonally opposed sides is called a trapezoid.

Kite - A quadrilateral has two sets of adjacent sides that are of equal length or a kite.

Isosceles trapezoid - An isosceles trapezoid is one with equally long non-parallel sides.

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Answer:

the answer is 173/7

hope this helps

Answer:

\(144\) cubic units

Step-by-step explanation:

We can assume that the truck is a rectangular prism since we're given its length, width, and height. To find the volume of a rectangular prism, simply multiply its length, width, and height together. As an algebraic expression, this would be \(l*w*h\), where \(l\), \(w\), and \(h\) are the prism's length, width, and height, respectively.

In this case, we are given that \(l=6\), \(w=4\), and \(h=6\). Therefore, the volume of the milk truck is \(6*4*6=144\) cubic units. Hope this helps!

Answer: 144 feet³

Step-by-step explanation: To find the volume, mutiply the Length, Width, and Height. Or we can use the formula.

Rectangular Tank Volume Formula: L x W x H

As we see, 6 is the Length. 4 is the Width and 6 is the Height.

So, we can multiply the Length, Width, and Height to get the volume.

6 x 4 x 6 = 144 feet³

Therefore, the answer is 144 feet³

Answer:

32+16√3 mm²

Step-by-step explanation:

Refer to pic attached: CD perpendicular and bisect AB at midpoint C, CD = ∨BD²-BC² = √12 = 2√3

FG = 2*4 = 8

GH = 2 + 2√3 + 2 = 4 + 2√3

area FGHI = 8 * (4 + 2√3) = 32 + 16√3  ...answer

12/44 = 4 × 3 / 4 × 11 = 3/11

_____________________

Thus 12/44 is less than 8/11

Answer:

IT IS LESS THAN 8/11

12/44 < 32/44

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Answer: -15=x

Step-by-step explanation: subtract 10 on each side then divide -5 on both sides to isolate the variable

-5x=+10-85

5x=-75

x=-75/5=> x= -15

Answer:

k = 10

Step-by-step explanation:

30+2k+5k=100

Combine like terms

30 + 7k = 100

Subtract 30 from each side

30+7k-30 = 100-30

7k  = 70

Divide each side by 7

7k/7 = 70/7

k = 10

Answer:

k=10

Step-by-step explanation:

We are given the equation:

30+5k+2k=100

We want to find k, therefore we must isolate k on one side of the equation.

First, combine like terms on the left side of the equation. 5k and 2k can be added together.

30+5k+2k=100

30+(5k+2k)=100

30+7k=100

30 is being added to 7k. The inverse of addition is subtraction. Subtract 30 from both sides of the equation.

30-30+7k=100-30

7k= 100-30

7k= 70

k is being multiplied by 7. The inverse of multiplication is division. Divide both sides by 7.

7k/7=70/7

k=70/7

k= 10

The solution to the equation 30+5k+2k=100 is k=10

Answer:

100.48

Step-by-step explanation:

π = 3.14

C = circumference

To find the circumference for a circle you must do 2 times pie times the radius.

(2·π·16)

In this case the radius is 16.

2·π = 6.28

6.28 · 16 = 100.48

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

Solution: (-3,-1)

Answer:

x = -3

Step-by-step explanation:

x + 2 and -x-4 is equal, because they are both y

we want to move the variables to one side and the numbers to the other side

x+x = 2x, and -4-2 = -6

so 2x = -6

and x = -3

The weight of th baby elephant in the month of March would be 247.5 Kg.

Weight of a body is the force exerted by the earth on the body on the surface of the earth towards its center.

Given is that in January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜.

Assume the weight of the baby elephant in March would be {x} Kg. We can write -

{x} = 180 + 3/8 of 180

{x} = 180 + 3/8 x 180

{x} = 180 + 67.5

{x} = 247.5 Kg

Therefore, the weight of th baby elephant in the month of March would be 247.5 Kg.

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Answer:

Kennan will be from home approximately an hour and 48 minutes.

Step-by-step explanation:

We must know that total time (\(t_{T}\)) that Keenan will be from home is the sum of run (\(t_{R}\)), hang out (\(t_{H}\)) and walk times (\(t_{W}\)), measured in hours:

\(t_{T} = t_{R}+t_{H}+t_{W}\)

If Keenan runs and walks at constant speed, then equation above can be expanded:

\(t_{T} = \frac{x_{R}}{v_{R}}+t_{H}+ \frac{x_{W}}{v_{W}}\)

Where:

\(x_{R}\), \(x_{W}\) - Run and walk distances, measured in miles.

\(v_{R}\), \(v_{W}\) - Run and walk speeds, measured in miles per hour.

Given that \(x_{R}=x_{W} = 2.5\,mi\), \(v_{R} = 6\,\frac{mi}{h}\), \(v_{W} = 4\,\frac{mi}{h}\) and \(t_{H} = 0.75\,h\), the total time is:

\(t_{T} = \frac{2.5\,mi}{6\,\frac{mi}{h} } + 0.75\,h+\frac{2.5\,mi}{4\,\frac{mi}{h} }\)

\(t_{T} = 1.792\,h\) (\(1\,h\,48\,m\))

Kennan will be from home approximately an hour and 48 minutes.

For the function f(x)=1/2sin(2x-4)+3, the Domain: (-∞, ∞) and the Range: [2.5, 3.5].

The range of values that can be plugged into a function is known as its domain. In a function like f, this range corresponds to the x values (x).

The collection of values that the function assumes is known as its range. Following the insertion of an x value, the function outputs this set of values. The values of y are those.

An assembly line's machines can be compared to functions in this way. The machine in the middle performs the function. On one end of the assembly line are a few screws and bolts, and on the other end is a car.

Given that

F(x)=1/2sin(2x-4)+3

For the given function graph is sinewave (see attachment)

For which

Range: [2.5, 3.5]

Domain: (-∞, ∞)

Thus, For the function f(x)=1/2sin(2x-4)+3, the Domain: (-∞, ∞) and the Range: [2.5, 3.5].

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Answer:

90 degrees

Step-by-step explanation:

Answer:

90 degrees.

Step-by-step explanation:

50 degrees (NJ) + -40 degrees (Antarctica) = 90 degrees.

Answer: 69, -69

Step-by-step explanation:

it is easy buddy not lies

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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Answer: a = 122*

The three angles added together form a circle or 360*.

Set a + b + c = 360 and solve for a

a + 66 + 172 = 360

Subtract 238 from both sides to get a

a = 122*

Answer:

1. 33%

2. 16%

3. 50%

Step-by-step explanation:

Answer:

its c ! just took the test :)

Option C is correct. The equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

The general formula for a sine function is expressed as;

y = Asin(x+Ф)

A is the amplitude i.e the maximum point on the curve. From the diagram, we can see that the maximum point is at 3 (factor 3 elongates the curve).

A = 3

Also, since the graph translates to the right by π, hence Ф = -π

Substituting the resulting values into the formula, we will have;

y =3sin(x+ (-π))

y = 3sin(x-π)

Hence the equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

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We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

The trigonometric ratio for the tangent of an angle indicates that the tangent of the angle ∠B expressed as an improper fraction is expressed in the form;

tan(∠B) = \(2\frac{2}{39}\)

The tangent of an angle in a triangle is the ratio of the facing side to the adjacent side of the triangle.

The type of triangle in the figure with an interior angle of 90 degrees is a right triangle, therefore, according to the Pythagorean Theorem, we get;

(AC)² + (AB)² = (BC)²

Therefore, we get;

(AC)² + 39² = 89²

(AC)² = 89² - 39² = 6400

AC = √(6400) = 80

The tangent of an angle is the ratio of the opposite side to the adjacent side, therefore;

tan(m∠B) = AC/AB

tan(m∠B) = 80/39 = \(2\frac{2}{39}\)

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Answer:

2 1/3

1 4/3

2.333...

233.3...%

Step-by-step explanation:

B. Make a histogram of the data.It can also be used to detect outliers and to compare distributions of different data sets.

A histogram is a type of graph used to visualize the distribution of a given set of data. It is created by plotting the frequency of occurrence of each data point on a graph, with the x-axis representing the data points and the y-axis representing the frequency of occurrence. The height of the bar above each data point indicates how often the value appears in the data set. The shape of the histogram gives an indication of the underlying distribution of the data. By plotting the frequency of occurrence of each data point, a histogram can provide insights into the mean, median, mode, and other characteristics of the data set. It can also be used to detect outliers and to compare distributions of different data sets.

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Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

3 times 3 is 9

9 times 3 is 27

27 times 3 is 81

Step-by-step explanation: