Construct a Venn diagram to determine the validity of the argument (Use Euler's diagram)Some animals are dangerousA car is not an animalTherefore a car is not dangerous

We need to find the number of students that scored above 50.57.

That number is given by the sum of all heights of the bars after 50.5:

Heights of the bars with scores above 50.5:

• bar labeled 1: ,100

• bar labeled 2: ,250

• bar labeled 3: ,200

• bar labeled 4: approximately ,190

• bar labeled 5: approximately ,60

Then, adding those values, we obtain:

Answer: D. 800

The radius of the circular field with area 14400 square feet is 67.7ft

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

The radius of a circular field with an area of 14400 square feet can be calculated by the formula:

Area of a circle(A) = [tex]\pi r^{2}[/tex]

where A = 14400[tex]ft^{2}[/tex]

[tex]\pi[/tex] = constant which is 3.142

A = [tex]\pi[/tex][tex]r^{2}[/tex], where A = area of circle , r = radius

divide both sides by c

A/[tex]\pi[/tex] = [tex]r^{2}[/tex]

[tex]r^{2}[/tex] = A/[tex]\pi[/tex]

r = [tex]\sqrt{\frac{A}{\pi } }[/tex]

Substitute the values of A and [tex]\pi[/tex]

r = [tex]\sqrt{\frac{14400}{3.142} }[/tex]

r = 67.7ft

In conclusion the radius of the field is 67.7ft

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The measure of the angle ∠ABD is calculated as 138° from the given data and figure.

The total of a triangle's three internal angles is 180 degrees, according to the angle sum property. When the values of the other two angles are known, the angle sum property is utilized to compute the measure of an unknown interior angle.

SAS stands for Side-Angle-Side Similarity. If the proportion of the two sides of one triangle is the same as the proportion of the two sides of another triangle, and the angle inscribed by the two sides of both triangles is equal, two triangles are said to be similar. 

Given: ΔACD and ΔBCD are isosceles.

          AD ≅ AC

          BD ≅ BC

         ∠BAC = 18°

         ∠BDC = 48°

We need to determine the measure of  ∠ABD.

Since,   AD ≅ AC

∠DAB = ∠BAC = 18°

Since, BD ≅ BC

∠BDC = ∠BCD = 48°

By triangle's angle sum property,

∠BDC + ∠BCD + ∠DBC = 180°

48° + 48° + ∠DBC = 180°

∠DBC = 84°

Also, ∠ABD = ∠ABC  [By SAS rule of ΔABD + ΔABC]

From the figure we can see that,

∠DBC + ∠ABD + ∠ABC = 360°

84° + 2∠ABD = 360°  [∵ ∠ABD = ∠ABC]

2∠ABD = 276

∠ABD = 138°

Therefore, the measure of the angle ∠ABD is calculated as 138° from the given data and figure.

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Answer:

7/16

Step-by-step explanation:

To find the answer, simply just add the numbers together:

For the numerators:

4 + 3 = 7

For the denominators:

9 + 7 = 16

So, we have 7/16 because this cannot be simplified down anymore.

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Answer:

Exact Form:

55/63

Decimal Form:

¯¯¯¯¯¯¯¯¯¯¯¯

0.873015

Step-by-step explanation:

Answer:

-31.5

Step-by-step explanation:

36(0.25)+ 42(-1)-18(0.25)+6
9-42-4.5+6

=-31.5

Answer:

5rs^3t^2  cubed root rt

Step-by-step explanation:

so 5rs-cubed t-squared and inside the cube root is rt

Answer:

this was in the other room and the

Step-by-step explanation:

times to go home and amen and keep me

we have the equatiion

4x-5y=20

Convert to slope intercept form

y=mx+b

so

Isolate the variable y

step 1

subtract 4x both sides

4x-5y-4x=4x+20

simplify

-5y=-4x+20

step 2

Divide both sides by -5

so

-5y/-5=(-4x+20)/-5

simplify

There is no question, just some graphs, I can not explain if I don't know the question

ok

y = 2x

This is a positive line that increases from left to right, because the number 2 of the equation is positive.

So from the graphs that you send me, the right answer is the second one, it is an increasing line.

A graph increases from left to rigth if it goes up

A graph decreases from left to right if it goes down

Answer:

21.07

Step-by-step explanation:

a) Remember that the coordinates for any given point in the cartesian system have two components, one in the X axis and the secon one in the Y axis. (X,Y)

The coordinates for P and Q are:

P (b,a)

Q(d,e)

b) If you have the formula for the function, you'll se that to determine the value on the Y axis for a given value of X you have to replace that value in the formula. This means that Y= f(x).

In this example the value of Y for X=b is equal to a, so f(b)= a

c) For f(x)=e, you have to identify the value of x that croses to Y=e, in this grapfic that value is d

d) f(z)=c and f(x)=z

If you watch the graphic, c is in the y-axis, this means that the x value of its coordinate is zero. So z=0

Now for f(x)=z, this means that you have to find the value of x when the value of Y is zero. To determine this value you have to see where the function crosses the X-axis.

The function crosses the X-axis in point h, so when f(x)= z, x=h

e) If f(b)=-f(d) this means that both |b| and |d| are equal, you can express it as:

b=-d

For all three given expression; No, b is not equivalent to a and c.

For the given question, the three expressions are-

a: 3(x - 1) + 4

Simplify the expression;

= 3x - 3 + 4

Add the constant

= 3x + 1  .....1

b: 3x - 1 ......2

c: 3(x - 2) + 7

Simplify the expression;

3x - 6 + 7

Add the constant

3x + 4 .....3

The result from eq 1, 2 and 3 are-

a = c ≠ b

Thus, No, expression b is not equivalent to a and c.

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a. Since the vertical component of velocity v' = 241.05 mph > v" = 229.43 mph, the first plane is rising faster

b. I would change the angle of elevation of both planes

Two planes at started to take off at the same time. Plane One took off from the tarmac going 375 mph at an angle of elevation of 40° and Plane Two took off from the tarmac going 400 mph at an angle of elevation of 35°, to fidn which plane is rising faster, we compute their vertical component of velocity of the plane .

The vertical component of velocity is v' = vsinФ where

For the first plane

So, v' = vsinФ

= (375 mph)sin40°

= (375 mph) × 0.6428

= 241.05 mph

For the second plane

So, v" = vsinФ

= (400 mph)sin35°

= (400 mph) × 0.5736

= 229.43 mph

Since v' = 241.05 mph > v" = 229.43 mph

So, the first plane is rising faster

To make both planes rise at the same rate, I would change the angle of elevation of both planes

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Answer:

81x because 9x9=81x so 81x is your answer

Recall that the equation of a line that passes through two points is given by the following formula:

Notice that the above formula gives us the equation of the line in point-slope form. Substituting the given values in the above formula, we get:

Simplifying the above result, we get:

Now, taking the above equation to its standard form, we get:

We will have the following:

So, its zeros are x = -3, x = 0 & x = 3.

Answer:14

Step-by-step explanation

The answer is PROBABLY a whole number.

(2) 10^3 = 1000; 20^3 = 8000. So the number is between 10 and 20; and closer to 10.

(3) Of the possible answers 11, 12, 13, and 14, only one of them has units digit 4 when raised to the 3rd power.

Answer:

L=14m

Step-by-step explanation:

volume of a cube =L×L×L

V=L³

2744=L³

L=³√2744

L=14m

Answer:

Step-by-step explanation:

The data set that is represented in the histogram is {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} Definition of a histogram An histogram is a graph that organises numerical data. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.Explaining the graphLooking at the histogram,the age group of 5 - 10 have 3 children in the carpool. the age group of 11 - 13 have 7 children in the carpool. the age group of 14 - 18 have 4 children in the carpool. This means that there are 14 children in the carpool. The correct option should have 14 ages that range between 5 and 18. Here are the options of this question: A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}To learn more about histograms, please check: brainly.com/question/13053780

Step-by-step explanation:

answer

Are you clear your doubt with my answer?

Consider the system of inequalities,

Simplify the first inequality as follows,

So, the solution to this inequality will be the set of points including and lying on the left of point 4 on the number line.

Simplify the second inequality as follows,

So, the solution to this inequality will be the set of points including and lying on the right of point -6 on the number line.

The solution to the compound inequality will be the common solution of both the inequalities, that is, the set of real numbers ranging from -6 to 4.

The solution can be seen on the number line as follows,

Answer:

x=2

Step-by-step explanation:

The required equation x = 2 has a linear graph that is parallel to the graph of the y-axis on the Cartesian coordinate system. which is the correct answer would be option (A).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A vertical line is a line on the coordinate plane with all of its points having the same x-coordinate. When we plot the points for a function x = an on a coordinate plane, we discover that connecting the coordinates results in a vertical line.

As per the given question, we have

The required equation x = 2 is the required vertical line.

Thus, the required equation x = 2 has a linear graph that is parallel to the graph of the y-axis on the Cartesian coordinate system.

Hence, the correct answer would be an option (A).

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The measures of the interior and exterior angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠7, ∠8, and ∠9 are 90°, 90°, 90°, 122°, 58°, 58°, 148°, 32°, and 148°, respectively.

We are given a triangle. One of the angles is 122 degrees, as shown in the diagram. We need to find all the interior and exterior angles. The vertically opposite angles are equal. The angle ∠4 is vertically opposite to the given angle. So, ∠4 = 122°. The angle ∠5 and the given angle form a linear pair. So, the angle ∠5 = 180° - 122° = 58°. The angle ∠6 is vertically opposite to the angle ∠5. So, the angle ∠6 = 58°. The angles ∠1, ∠2, and ∠3 are angles made by coordinate axes that are perpendicular to each other. So, the angles ∠1 = ∠2 = ∠3 = 90°. Now we use the angle sum property of a triangle. The sum of all the interior angles of a triangle is 180°. So, we can write the equation : ∠6 + ∠1 + ∠8 = 180°. So, ∠8 = 180° - (∠6 + ∠1) = 180° - (58° + 90°) = 180° - 148° = 32°. The angles ∠8 and ∠9 form a linear pair. So, ∠9 = 180 - 32° = 148°. The angle ∠7 is vertically opposite to the angle ∠9. So, the angle ∠7 = 148°.

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By definition, you know that dilations have a scale factor, this is labeled k. To dilate something in the coordinate plane, multiply each coordinate by the scale factor.

If there is a reduction, then 0 < k < 1.

If there is an enlargement, then k > 1.

So, you have

Therefore, the correct answer is

Answer:

There's nothing that can be done with the given information

Step-by-step explanation:

The perimeter of the given rectangle is 16r-14s centimeters.

Let width be represented by=w

Let length be represented by=l

Let perimeter be represented by=p

Then,

l=(r-5s)centimeters (Given in the question)

while w=(7r-2s)centimeters (Given in the question)

The formula for the perimeter of a rectangle= 2(l+b)

where l is the length while b is the breadth of the rectangle.

On putting values in the equation:

p=2(l+b)

p=2(l+w)

p=2[(7r-2s)+(r-5s)]

on opening the bracket 2 is multiplied by both terms.

p=2(7r-2s)+2(r-5s)

p=(2x7r-2x2s)+(2xr-2x5s)

p=(14r-4s)+(2r-10s)

p=14r-4s+2r-10s

p=14r+2r-4s-10s

p=14r+2r-(4s+10s)

p=14r+2r-(14s)

p=16r-(14s)

Thus,

p=16r-14s centimeters

The perimeter of the given rectangle is 16r-14s centimeters.

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[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-19}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-19}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{2}}} \implies \cfrac{-19 +7}{3} \implies \cfrac{ -12 }{ 3 } \implies - 4[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{- 4}(x-\stackrel{x_1}{2}) \implies y +7 = - 4 ( x -2) \\\\\\ y+7=-4x+8\implies {\Large \begin{array}{llll} y=-4x+1 \end{array}}[/tex]

In this exercise we have to use the knowledge of depth to be able to calculate the depth that is being seen by the telescope, in this way we can say that:

45 feet deep

First, knowing that the formula for the parabola is:

4py=x²

Now P is the distance from the vertex to the focus or to the directrix which is equal to 20, we can say that:

4(20)y=x²

80y=x²

Now we just should use individual knwon financial worth of X fashionable the maximum point of the dish, exist the measurement across object of the eating receptacle exist 120 extremities that is to say the maximum x, and we understand information that 120 extremities is heavy distance middle from two points the expansive -x and x, so those hopeful: -60 and 60.

80y=x²

80y=60²

80y=3600

y=45

Answer:

75ft

Step-by-step explanation:

We can let the parabola open upward......so we will  have the form

4a ( y - k)  =  (x - h)^2

The distance from the vertex to the focus =  20   = a

We can let the vertex be   ( 80, 30)

So we have the form

4(20) ( y- 30)  = (x - 80)^2   simplify

80 ( y - 30)  = ( x - 80)^2

Since the diameter  is 120 ft...the radius is 60 ft.....so we can let one point on the parabola be   ( 80 + 60 , a) =

(140 , a)......where a  is the height of the dish....so we have that

80 ( a - 30) = (140 - 80)^2

80 ( a - 30)  = (60)^2

80 ( a - 30) = 3600      divide both sides by  80

a -  30 =  45      add 30 to both sides

a = 75 ft  = the height of the dish

Answer:

The correct answer is B

Step-by-step explanation:

Other than the unit of measurement i am genuinely confused by this because (as far as I know) there is no possible way of figuring this out. The unit is obviously meters but I have no idea what the answer is. You should ask your teacher to explain it to you because it's confusing.