A body traveled a distance of 20 meters in exactly 10s. What was your average speed on this trip?​

Answer:

4.8%

Step-by-step explanation:

28+12=40

40÷100=0.4

1% - 0.4 teachers

0.4×12=4.8

Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

The question asks for the term used to describe the process of repeatedly increasing a value by some amount. The answer choices provided are incrementing, accumulating, iterating, and scaling.

The term that describes the process of repeatedly increasing a value by some amount is iterating. Iteration involves performing a series of repeated steps or operations, often with the purpose of gradually changing or updating a value. It is commonly used in programming and mathematics to implement loops or repetitive processes. The other answer choices have different meanings and do not specifically convey the concept of incrementally increasing a value over multiple iterations. Incrementing typically refers to adding a fixed amount to a value, accumulating refers to the process of gradually gathering or collecting values, and scaling typically involves proportionally resizing or changing the magnitude of a value.

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The length of the rectangle is 9.05 feet. We can solve this problem using quadratic formula.

Let's call the length of the rectangle "x".

The width of the rectangle is x - 5.

So, the area of the rectangle is x * (x - 5) = 50.

Expanding, we have x^2 - 5x = 50.

Adding 5x to both sides, we get x^2 = 50 + 5x.

Subtracting 50 from both sides, we get x^2 - 50 = 5x.

Dividing both sides by 5, we get x^2/5 - 10 = x.

Expanding the left side, we have x^2/5 = x + 10.

Multiplying both sides by 5, we get x^2 = 5x + 50.

Subtracting 5x from both sides, we get x^2 - 5x = 50.

Adding 50 to both sides, we get x^2 - 5x + 50 = 100.

This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 1, b = -5, and c = 50.

Using the quadratic formula, we can find the solutions for x:

x = (-b ± √(b^2 - 4ac)) / 2a

x = (-(-5) ± √((-5)^2 - 4 * 1 * 50)) / 2 * 1

x = (5 ± √(25 - 200)) / 2

x = (5 ± √(-175)) / 2.Since the length cannot be negative, we ignore the negative solution.

x = (5 + √(175)) / 2

x = (5 + 13.1) / 2 = 9.05

So, the length of the rectangle is 9.05 feet.

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The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.

A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.

The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.

The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.

The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.

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Answer:

35 degrees

Step-by-step explanation:

for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?​

Let the given expression be equal to 1, hence;

csc (2x+30°)= cos (3y-15°) = 1

csc (2x+30°) = 1

1/sin(2x+30) = 1

1 = sin(2x+30)

sin(2x+30) = 1

2x+30 = arcsin(1)

2x+30 = 90

2x = 90-30

2x = 60

x = 60/2

x = 30 degrees

Get the value of y;

cos (3y-15°) = 1

3y - 15 = arccos (1)

3y - 15= 0

3y = 0+15

3y = 15

y = 15/3

y = 5

Sum of x and y;

x+y = 30 + 5

x+y = 35degrees

Hence the sum of x and y is 35 degrees

Answer:

to establish a point from which to measure future distance

Step-by-step explanation:

Answer:

The five rational numbers between -3 and -2 are : - -13/6, -14/6, -15/6, -16/6, -17/6. so, the rational numbers between -2 & -3 are -13/6, -14/6, -15/6, -16/6, -17/6.

Step-by-step explanation:

if it helped uh please mark me a BRAINLIEST :)

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1. Difference: \(\displaystyle\sf (-2) - (-3) = -2 + 3 = 1\).

2. Interval: \(\displaystyle\sf \frac{1}{6}\).

3. Rational Numbers:

a. \(\displaystyle\sf -3 + \text{Interval} = -3 + \left(\frac{1}{6}\right) = -\frac{17}{6}\).

b. \(\displaystyle\sf -3 + 2 \times \text{Interval} = -3 + 2 \times \left(\frac{1}{6}\right) = -\frac{16}{6}\).

c. \(\displaystyle\sf -3 + 3 \times \text{Interval} = -3 + 3 \times \left(\frac{1}{6}\right) = -\frac{15}{6} = -\frac{5}{2}\).

d. \(\displaystyle\sf -3 + 4 \times \text{Interval} = -3 + 4 \times \left(\frac{1}{6}\right) = -\frac{14}{6} = -\frac{7}{3}\).

e. \(\displaystyle\sf -3 + 5 \times \text{Interval} = -3 + 5 \times \left(\frac{1}{6}\right) = -\frac{13}{6}\).

Therefore, the five rational numbers between -3 and -2 are:

\(\displaystyle\sf -\frac{17}{6}, -\frac{16}{6}, -\frac{5}{2}, -\frac{7}{3}, \text{ and } -\frac{13}{6}\).

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Answer:

I need help

Step-by-step explanation:

I need help I need help

The equation of G which is a transformation of y = sin x is

The coordinates of point P is (3π/2, 1)

Equation of graph G is as a result of transformation of graph of y = sin  x. The transformation type is translation and the rule is: up, 4 units. This is written as:

y = sin  x

G(x) = y + 4 = sin  x + 4

G(x) = sin  x + 4

The plot of the graph of G(x) = sin  x + 4 shows that the coordinate of point P is

(3π/2, 1)

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The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.

Using the equation of a line to obtain a new data point based on an existing collection of data points is known as linear interpolation in mathematics.

Now,

Since it employs a linear model to forecast the necessary point that does not reside between the given locations, this prediction technique is known as linear extrapolation.

Hence, The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.

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Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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The measure of tangent angle QIA is 180 degrees.

m/QIA = 180 degrees.

If IA is the diameter of the circle, it means that angle QIA is a right angle (90 degrees). Since QN is tangent to the circle at point I, it is perpendicular to the radius IA at that point.

Therefore, in triangle QIA, we have a right angle at Q and a right angle at I. This implies that angle IQA is also 90 degrees.

In a right triangle, the sum of the angles is 180 degrees. Since angles QIA and IQA are both right angles, the remaining angle in the triangle, angle QAI, must be:

180 degrees - 90 degrees - 90 degrees = 0 degrees

Angle QAI is a degenerate angle, which means it has a measure of 0 degrees. Therefore, the measure of tangent angle QIA is 180 degrees.

To summarize, m/QIA = 180 degrees.

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Answer:

$40.5

Step-by-step explanation

10% comes from selling biscuit:$ 9

remaining money: $81

50% of the remaining money comes from chocolate cakes: 81*50%=$40.5

Therefore, the indicated z-score is 2.45.

To find the indicated z-score, we need to use a standard normal distribution table. From the graph, we can see that the area to the right of the z-score is 0.9850.
Looking at the standard normal distribution table, we find the closest value to 0.9850 in the body of the table is 2.45. This means that the z-score that corresponds to an area of 0.9850 is 2.45.
It's important to note that the standard deviation of the standard normal distribution is always 1. This is because the standard normal distribution is a normalized version of any normal distribution, where we divide the difference between the observed value and the mean by the standard deviation.

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Answer: -27a + 10

Step-by-step explanation:

1

Distribute

- 9a - 2 ( 9a - 5 )

- 9a - 18a + 10

2

Combine like terms

- 9a - 18a + 10

- 27a + 10

Answer:

\(\frac{12}{7}\) or \(1 \frac{5}{7}\)

Step-by-step explanation:

If your question was \(6\) times \(\frac{2}{7}\), you just turn the 6 into \(\frac{6}{1}\), leave the \(\frac{2}{7}\) as it is. Multiply: \(\frac{6}{1} *\frac{2}{7}\) to get: \(\frac{12}{7}\). This can simplify to: \(1 \frac{5}{7}\).

Hope it helps!

Answer:

\( \frac{6}{133} \)

Step-by-step explanation:

\( \frac{6 \times 2}{76} \times \frac{2}{7} \\ = \frac{12} {76} \times \frac{2}{7} \\ = \frac{6}{19} \times \frac{1}{7} \\ = \frac{6}{133} \)

The slope of a line that is parallel to the line containing the points (3, 4) and (2, 6) is -2.

To find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6), we first need to find the slope of the line containing these points. We can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Where:

m = slope

(x1, y1) = coordinates of the first point (3, 4)

(x2, y2) = coordinates of the second point (2, 6)

Substituting the given values, we get:

m = (6 - 4) / (2 - 3)

m = -2

The slope of the line containing the points (3, 4) and (2, 6) is -2.

Since we are looking for a line that is parallel to this line, the slope of the parallel line will also be -2.

Therefore, the slope of the parallel line is -2.

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Answer:

Step-by-step explanation:

26.8

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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The area of the teacher workroom is 64 feet squared

Answer:

125 feet

step by step explanation:

i dont know how to explain it but you have to draw a line in the box where the shape is creating a small other rectangle if that makes sense. so it breaks it into 2 shapes, one that is 9 by 10 and one that is 5 by 7 because 16 - 9 is 7. its sounds confusing but 125 is the answer

The formula for the circumference of a circle is "c = 2 pi r", where "c" represents the circumference, "pi" represents the mathematical constant pi (approximately equal to 3.14159), and "r" represents the radius of the circle.

This formula relates the distance around a circle to its size, and is useful for calculating various measurements related to circles, such as arc length and sector area. It is important to note that the formula for the circumference of a circle assumes the circle is a perfect, unbroken curve, and thus may not be accurate for circles that are not perfectly round.

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To draw line HI perpendicular to JK we need to follow the given steps:

Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.

From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.

Use your ruler to join the given point (H) to the point where the arcs intersect (I).

HI is perpendicular to JK.

What is perpendicular?

Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.

Properties of Perpendicular Lines

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Semi perimeter:-

\(\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}\)

\(\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}\)

\(\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm\)

Apply heron s formula

Area:-

\(\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}\)

\(\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}\)

\(\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}\)

\(\\ \rm\rightarrowtail \sqrt{4.6656}\)

\(\\ \rm\rightarrowtail 2.16cm^2\)

Answer:

\(\sf Area \ of \ a \ Triangle=\dfrac12bh\)

(where b is the base of the triangle and h is the height)

Given:

Substitute the given values into the formula:

\(\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8\)

               \(\sf =2.16 \ cm^2\)

Answer:

15,813

Step-by-step explanation:

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional