i have a few questions on volume of prisims,and pyrimds

4. EA ≅ MA

In ΔTAE and ΔTAM,

TE = TM (Given)

∠ETA = ∠MTA (Given)

TA = TA (Common)

∴ ΔTAE ≅ ΔTAM

∴ EA = MA

Hope it helps you....

Please mark as brainlliest

The solutions for the inequality "y is greater than one fifth times x plus 3" lies in both quadrant I and quadrant II.

In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate and y-coordinate of a cartesian coordinate.

Generally speaking, there are four (4) major quadrants in any graph and these include the following:

y is greater than one fifth times x plus 3 ⇒ y > x/5 + 3.

Next, we would use an online graphing calculator to plot the given inequality. Therefore, the required solution is the shaded area above the dash line as shown in the graph attached below.

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Answer:

21   24   9

6    18   30

27   12   15

Step-by-step explanation:

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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This bar graph represents the percentage of the public's trust in the Federal Government from year 1960 to 2015. The public trust was highest in year 1960 at 74% and it was at its lowest in 2015 at 18%.

Answer:

$246.42

Step-by-step explanation:

13.69(4+4+4+4) + 27.38

    13.69(16) + 27.38

     219.04 + 27.38

         246.42

You should make $246.42.

The linear function that models the situation is given as follows:

d = 0.85t.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant ratio for this problem is given as follows:

k = 0.83, as each division of d by t has a result of 0.83.

Hence the equation is given as follows:

d = 0.83t.

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Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

Answer:

hope it helps

Step-by-step explanation:

the inside angles of a triangle are always 180 so, 43+60=103+59=162 180-162=18

A=59

B=103

CandZ=18

now we follow the same rule but with the smaller triangles

x=78

y=102

z=18

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

From the question, we have the following ordered pairs

x intercepts = (6,0) and (18, 0)

Vertex = (12, -36)

Points (21, 41.25)

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using

m = [f(21) - f(18)]/[21 - 18]

This becomes

m = [f(21) - f(18)]/3

Substitute the known values in the above equation

m = [41.25 - 0]/3

Evaluate the difference

m = 41.25/3

Evaluate the quotient

m = 13.75

Approximate

m=14

Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

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Complete question

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?

See attachment for graph

Answer:

sin a = cos C

sin C = AB/AC

tan a = BC/AB

The formula for y in terms of x is y=160​/x^2.

We are given that;

y = 20 when t=4

And t = 8 when x = 2

Now,

To find the value of k by using the fact that y = 20 when t = 4:

20=k⋅4

k=5

Also, y=5t

Next, we use the fact that t is inversely proportional to the square of x. We can write:

t=x2k​

where k is a constant of proportionality. We can find the value of k by using the fact that t = 8 when x = 2:

8=22k​

k=32

Now we know that:

t=x232​

Substituting this into the equation for y:

y=5t=5⋅x232​=160​/x^2

Therefore, by proportions the answer will be y=160​/x^2.

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Answer:

-36/7

Step-by-step explanation:

-22-14=6x+x

-36=7x

-36/7=7x/7

x=-36/7

We have shown that AC:BC is indeed in the ratio 2:1 or 2:3. The ratio is 2:3 because AC is twice the length of AB, and BC is one-third the length of AB.

To show that AC:BC is in the ratio 2:3, we need to compare the lengths of AC and BC in terms of their respective expressions.

Given AB:AC = 1:2, we can represent the lengths of AB and AC as follows:

AB = 3x - 4

AC = 2(3x - 4) = 6x - 8

Next, we need to find the length of BC. Since AB and BC are segments of the same line, we can express BC in terms of AB and AC using the fact that the sum of two segments is equal to the length of the whole line. Therefore:

AB + BC = AC

Substituting the expressions we have for AB and AC:

(3x - 4) + BC = 6x - 8

Now, let's solve this equation for BC:

BC = 6x - 8 - (3x - 4)

BC = 6x - 8 - 3x + 4

BC = 3x - 4

We have found the length of BC, which is 3x - 4. Now we can compare the ratios of AC:BC:

AC:BC = (6x - 8):(3x - 4)

To simplify the ratio, we can factor out a common factor of 2:

AC:BC = 2(3x - 4):(3x - 4)

Notice that we have a common factor of (3x - 4) in the numerator and denominator. We can cancel out this common factor, resulting in:

AC:BC = 2:1

Therefore, we have shown that AC:BC is indeed in the ratio 2:1 or 2:3. The ratio is 2:3 because AC is twice the length of AB, and BC is one-third the length of AB.

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The calculated value of x is 3/2

The lengths of all three sides of the triangle are 11, 11 and 14

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

The triangle

The triangle is an isosceles triangle

So, we have

8x - 1 = 4x + 5

Evaluate

4x = 6

So, we have

x = 3/2

Recall that

x = 3/2

So, we have

4x + 5 = 4 * 3/2 + 5

4x + 5 = 11

Also, we have

2x + 11 = 2 * 3/2 + 11

2x + 11 = 14

Hence, the lengths of all three sides of the triangle are 11, 11 and 14

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The correct Option is A. Equation that can be used to find the number of dogs in the shelter is StartFraction 60 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 30 Over 50 EndFraction.

In order to do that, we first need to determine the number of dogs in the shelter.

We can do that by multiplying the total number of animals by 60% (0.60):60% of 50 = (60/100) × 50 = 30

Therefore, there are 30 dogs in the shelter.

Now, we can look at the answer choices to see which equation can be used to find the number of dogs in the shelter.

A. (60/2 ÷ 100/2) = 30/50This equation simplifies to (30 ÷ 50) = 0.6, which is the decimal equivalent of 60%. T

his equation is correct.

B. (100 × 2 ÷ 50 × 2) = 200/100

This equation simplifies to 1, which is not the correct answer.

C. (50 ÷ 1 ÷ 60 ÷ 1) = 50/60

This equation simplifies to 5/6, which is not the correct answer.

D. (60 × 2 ÷ 50 × 2) = 120/100

This equation simplifies to 6/5, which is not the correct answer.

Therefore, the equation that can be used to find the number of dogs in the shelter is A. (60/2 ÷ 100/2) = 30/50.

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The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

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Answer: Width: 56 yards, Length: 108 yards

Step-by-step explanation:

What we know:

- Perimeter is 328 yards

- The length is 4 less than double the width

In this answer, I will use w as the variable for width.

Find the equation for the length.

The length of the field is double the width, 2w, minus 4.

We get: 2w - 4

A rectangle has four sides, two for width, two for length. So now we need to add width to width and length to length

Length: (2w - 4) + (2w - 4) = 4w - 8

Width: w + w = 2w

To find perimeter, you need to add all sides. So now we add our length and width

4w - 8 + 2w = 6w - 8

Now that we have our final equation, we need to solve for w.

6w - 8 = 328

Add 8 to both sides.

6w - 8 + 8 = 328 + 8

Combine like terms.

6w = 336

Divide 6 from both sides.

w = 56

The width is 56, now that we have solved w, we can plug it into our length equation

2(56) - 4 = 108

The length is 108.

Answer: 56 yards x 108 yards (width x length)

To check your work, you can easily add up all the sides and see if it matches the perimeter given.

108 + 108 + 56 + 56 = 328

I hope this helped!

Logical error example can be people without reasoning out thoughts supporting people who promised them their betterment.

What is Logical Error/Fallacies?

Common thinking flaws called fallacies will impeach the logic of your argument. Fallacies can be irrelevant or invalid arguments, and they are frequently recognised since they don't have any supporting data.

Basic Logic - knowing the study of current reasoning is basic logic.

Logic pertains to all subjects, since people can reason about anything they can think about politics, the art , Literature, business, the sciences and every day problems are all subject open to reasoning.

Few times ago , I was in a political party rally. I observed that one think clever politician knows very well how to manipulate public opinion , contestant addressing and promising about that is not in even going to possible but many of them endorse strong convictions , that whatever he told is going to be true , people don't even think for reason with the  promises that he did.

Legislative assembly member's contestant told in his addressing that we  promises to all of you we will provide free petrol, diesel, free rice and now he is in the member of legislative assembly, but no promises are fulfilled. How people can't even reason their thought .

Therefore, this is an example of logical error.

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\(\sf{14(\sqrt[3]{x}) }\)

Step-by-step explanation:

\(5(\sqrt[3]{x})+9(\sqrt[3]{x})\\\\(5+9)(\sqrt[3]{x})\\\\14(\sqrt[3]{x})\)

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

Answer:

y= -1/3x + -5

Step-by-step explanation:

y= mx + b

b= y-intercept, which is -5. (x-value where the lines goes through the y-axis)

To find the slope, you take the

Change of y/ Change of x

Take two points (I did, (0,-5) and (3, -6) ).     (x,y)

-6 - (-5)= -1

3 - 0= 3

-1/3= m

Answer:

.31

Step-by-step explanation:

Answer:

0.31

Step-by-step explanation:

Answer:

Step-by-step explanation:

(9x-1)^-1/2 - (x+2)(9x-1)^-1/2

= (9x-1)^-1/2( 1 - (x + 2))

= (9x-1)^-1/2(-1 - x)

= -(x + 1)(9x-1)^-1/2

= -(x + 1) / (9x-1)^1/2

Answer:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count

Step-by-step explanation:

Solve with yourself

Answer:

v = 196.25

Step-by-step explanation:

v = 3.14*r^2*h

v = 3.14*5^2*2.5

v = 196.25

Answer:

47

Step-by-step explanation:

Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.