Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =
1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?
55

Answers

Answer 1

Answer:

20 foot.....................


Related Questions

What is the first step in solving the following systrm of equations?
3x + y = 23 and 8x + 2y = 23
A. Substitute the value of y from one equation into the other equation
B. Solve the first equation for y
C. Subtract the second equation from the first equation
D. Substitute the value of x from one equation into the other equation ​

Answers

Hello!

{3x + y = 23 _ {y = 23 - 3x

{8x + 2y = 23 {8x + 2(23 - 3x)

The answer is A.

Good luck! :)

A marketing researcher interviews a large number of respondents and asks them a set of questions that are listed in a questionnaire. The respondents are required to select a response from a given set of options. In this case, the researcher is _____.

Answers

Answer: conducting quantitative research

Step-by-step explanation:

Quantitative research refers to the collection and the analysis of numerical data. Quantitative research can be used in making predictions, and testing casual relationships.

Quantitative research methods emphasize the numerical analysis of data which can be collected through questionnaires, polls, surveys etc.

Triangle D E F is reflected across D F to form triangle E G F. The lengths of sides E F and F G are congruent. To prove that ΔDEF ≅ ΔDGF by SAS, what additional information is needed? ∠DEF ≅ ∠ DGF ∠DFE ≅ ∠ DFG DE ≅ DG DG ≅ GF

Answers

Answer:

[tex]\angle DFE = \angle DFG[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

What makes DEF and DGF congruent

We have:

[tex]EF = GF[/tex] --- this is indicated by the single line on both sides

Also:

[tex]DF = DF[/tex] --- both triangle share same side

For SAS to be true;

2 sides and 1 angle must be equal in either triangles

So far, we have:

[tex]EF = GF[/tex] ---- S

[tex]DF = DF[/tex] ---- S

The additional to complete the proof is:

[tex]\angle DFE = \angle DFG[/tex] ---- angle between the above sides

Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG. Option B.

Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.

The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.

So that,

GF ≅ FE (given)

DF is the common side to triangles DEF and DFG.

DFG is the included side.

Thus;

∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)

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Which transformations could be performed to show that △ABC is similar to △A"B"C"?

a reflection over the x-axis, then a dilation by a scale factor of 3
a reflection over the x-axis, then a dilation by a scale factor of One-third
a 180° rotation about the origin, then a dilation by a scale factor of 3
a 180° rotation about the origin, then a dilation by a scale factor of One-third

Answers

Answer:

A 180° rotation of then a dilation by a scale factor of one-third

Step-by-step explanation:

The coordinates of the vertices of ΔABC are;

A(-9, 3), B(-9, 6), and C(0, 3)

The coordinates of the vertices of ΔA'B'C' are;

A'(3, -1), B'(3, -2), and C'(0, -1)

We note that for a 180° rotation transformation about the origin, we get;

Coordinates of preimage = (x, y)

Coordinates of image after 180° rotation about the origin = (-x, -y)

Therefore, a 180° rotation of ΔABC about the origin, would give ΔA''B''C'' as follows;

A(-9, 3), B(-9, 6), and C(0, 3) = A''(9, -3), B''(9, -6), and C''(0, -3)

The formula for a dilation of a point about the origin is given as follows;

[tex]D_{O, \, k} (x, \, y) = (k\cdot x, \, k\cdot y)[/tex]

Where;

k =The scale factor = 1/3, (one-third) we have;

A dilation of ΔA''B''C'', by a scale factor of 1/3, we get ΔA'B'C' as follows;

[tex]D_{O, \, \frac{1}{3} } A''(9, \, -3) = A'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -3) = A'(3, -1)[/tex]

[tex]D_{O, \, \frac{1}{3} } B''(9, \, -6) = B'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -6) = A'(3, -2)[/tex]

[tex]D_{O, \, \frac{1}{3} } C''(0, \, -3) = C'(\frac{1}{3} \times 0, \, \frac{1}{3} \times -3) = C'(0, -1)[/tex]

The coordinates of the vertices of ΔA'B'C' are A'(3, -1), B'(3, -2), and C'(0, -1), which is the same as the required coordinates of the image;

Therefore, the transformation that can be performed to show that ΔABC and ΔA'B'C' are similar are rotating ΔABC by 180°  then a dilating the image derived after rotation by a scale factor of one-third (1/3) we get ΔA'B'C'.

Answer:

D

Step-by-step explanation:

long division using place value

Answers

Answer:

this involves dividing numbers by making use of their place values or value

Step-by-step explanation:

hope this is helpful

Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. What is the radius of the ball?

Answers

Answer:

3

Step-by-step explanation:

Volume of sphere:

4/3 * pi * r^3

Surface Area of Sphere:

4 * pi * r^2

So if V = SA

4/3 * pi * r^3 = 4 * pi * r^2

4/3 * pi * r^3 = 4 * pi * r^2

1/3 * r^3 = r^2

1/3 * r = 1

r = 3

Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere is given by the formula,

V = (4/3)πR³

The surface area of the sphere is given by the formula,

Surface area = 4πR²

Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,

(4/3)πR³ = 4πR²

R³/3 = R²

R = 3

Hence, the radius of the ball is equal to 3 units.

Learn more about Volume:

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Ming drew the model below to represent the equation 24+12=_x(8+4) What is the missing value in Ming's equation?

Answers

Given:

The equation is:

[tex]24+12=\_\_\times (8+4)[/tex]

To find:

The missing value.

Solution:

We have,

[tex]24+12=\_\_\times (8+4)[/tex]           ...(i)

Taking left hand side, we get

[tex]24+12=3\times 8+3\times 4[/tex]

Taking 3 common, we get

[tex]24+12=3\times (8+4)[/tex]             ...(ii)

On comparing (i) and (ii), we get

Missing value = 3

Therefore, the missing value in the given equation is 3.

Is the discriminant of g positive, zero, or negative?

Answers

Your answer is Zero

Harvey has a 5- gallon container of gasoline to fill all of his small engne tanks. He uses 1/2 gallon of the gasoline to fill each small engine tank he owns. How many small engine tanks does Harvey own? (give a reason) who ever helps me thank you

Answers

Answer:

10

Step-by-step explanation:

the small engine tanks that Harvey have = 5 ÷ ½ = 10

What is the next term in the sequence below?
1, 2, 4, 8, 16, . . .
A. 24
B. 32
C. 34
D. 64

Answers

B. 32 is the correct answer

B

the number doubles by itself

Express the following the number indecimal
form - 25
36​

Answers

Answer:

0.6944

Step-by-step explanation:

25/36 is 0.6944 in division

whats the function for y=-4x+3

Answers

Answer:

the function for y=-4x+3

= soln,

y=mx+b"

Can someone help me with this math homework please!

Answers

Answer:

option 3. (4, -2)

Step-by-step explanation:

For a relation to be a function there should be exactly one output value for a given input.

In the given relation :-

4 has 2 outputs, -2 and 2, so if we remove the pair (4, -2) 4 will have only one output value ,i. e., 2. And hence the relation will be a function.

So the answer is option 3. (4, -2)

The role of the Federal Open Market Committee is to:
A. appoint the Federal Reserve Board of Governors.
B. enforce Federal Reserve rules on banks.
C. set monetary policy for the United States.
D. establish new Federal Reserve districts​

Answers

Correct answer is c

Which of the following has the same ratio as sin A?

Answers

Cos B
SOH CAH TOA
Sin: opposite/hypotenuse
Cos: adjacent/hypotenuse
Tan: opposite/ adjacent

Quadrilateral ABCD is a rectangle. FindBD ifAO = 6x - 22 and OC = 2x + 6.

40 units
20 units
7 units
10 units

Answers

The answer would be 40 because
6x-22=2x+6
4x-22=6
4x=28
X=7

So plug 7 in instead of x for both AO and OC
6(7)-22=20
2(7)+6=20

20+20=40
And since it’s the same answer for both sides the answer is 40

input output f(x)= -5(x+7)

Answers

Answer:

x= -7

Step-by-step explanation:

f(x) = -5(x+7)

0 = -5x -35

5x = -35

equals to x= -7

What is the value of d?
A.100 B.84 C.50 D.80

Answers

Answer:

A. 100

Step-by-step explanation:

84

Step-by-step explanation:

c + 100 =180

c=180-100

c=80

100+96+d+c=360

100+96+d+80=360

276+d=360

d=360-276

d=84

How to find the frequency in a histogram

Answers

Answer:Para preparar la tabla de frecuencia para un histograma, es necesario primero establecer el número de intervalos que se desea tener.

Luego, se debe determinar el ancho común de los intervalos (interval width). Para esto, se calcula la diferencia del dato mayor y el dato menor, y se divide entre el número de intervalos deseados. Este resultado se redondea al entero mayor más cercano.

Por ejemplo, si se desea tener 10 intervalos y encontramos que el dato mayor es 35 y el menor es 12,

Step-by-step explanation:

PLS HELP ASAP IS THIS TRUE OR FALSE?

*image below*

Answers

Answer:

true

Step-by-step explanation:

idek

Answer:

True

Step-by-step explanation:

If we say x-1=0

x=1

F(1)=(1)^3-7(1)^2+15(1)-9

=1-7+15-9

=-6-9+15

=0

So this proves that it's a factor by factor theorem

A factor must give 0 if it's substituted to the equation

It would be great if someone could help me with this problem

Answers

y-intercept (0, 1)
Equation of asymptote y=0

Equation of asymptote can also be called horizontal asymptote.
It means the place where the line almost meets but actually not touching the place. The line almost touches y=0 but it actually does not touch it.

Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)?
Find the slope at AB

Answers

Answer:

Slope of AB = 2

Slope of CD = 2

equal slopes means the lines are parallel

Step-by-step explanation:

Use slope formula

m = [tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]

line AB = [tex]\frac{(5-1)}{(2-0)}[/tex] = [tex]\frac{4}{2}[/tex] = 2

line CD - [tex]\frac{(15-7)}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

define the following key terms relating to a circle, diameter and radius

Answers

Answer:

Diameter: the straight distance from one edge of a circle to the other

Radius: the straight distance from one edge of a circle to the center

I hope this helps :)

Answer:

Diameter - a straight line that goes straight through the center of the circle to one point on its outline to another point on it's outline

Radius - a line that starts at the center and goes to anywhere on the circles circumference

determine which statement or statements are true. If none write “none”.

By accident I circled D for question 1 and C for question 2 I’m not sure if they are correct. But if anybody can help me with 1-3 that will be a life saver!!!

THANK UUUUUU

Answers

Answer:

number 1 is C number 2 is A and number 3 is D

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

How many 20 can lengths of a pipe can be cut from a pipe 8.7 m long?

Answers

Answer:

(8.7×100)cm=870cm

870cm/20cm=43.5

so 43 20cm can be cut

Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordinates of point B?
.
.
.
May you please show me the work?

Answers

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

[tex](\frac{-8+(-2)}{2},\frac{3+1}{2})[/tex]

3. solve

[tex](\frac{-8-2)}{2},\frac{3+1}{2})[/tex]

[tex](\frac{-10}{2},\frac{4}{2})[/tex]

[tex](-5,2})[/tex]

أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد . ​

Answers

Answer:

سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد

Step-by-step explanation:

الارتفاع = 24 سم

نصف القطر = 14 ÷ 2 = 7 سم

ارتفاع مائل = L =؟

L2 = R2 + H2

م 2 = 72 +242

م 2 = 49 + 576

م 2 = 625

L = 25

الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24

الحجم = 1232 سم

مساحة السطح المنحني = 22 × 7 × 7 × 25

مساحة السطح المنحني = 550

إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7

مساحة السطح الكلية = 704 سم

يرجى وضع علامة لي على أنه أذكى

Find the length of PL


A. 23
B. 19
C. 30
D. 46

Answers

The answer is B) 19.

3. The following are the scores you shot in five rounds of golf: 70,80,75,75,80. The variance is: A. 3.74 C. 14 B. 196 D. 70​

Answers

Answer:

Option C.

Step-by-step explanation:

For a given set of N elements:

{x₁, x₂, ..., xₙ}

The mean is given by:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the variance is given by:

[tex]v = \frac{(x_1 - M)^2 + (x_2 - M)^2 + ... + (x_n - M)^2}{N}[/tex]

Then for our set:

{70, 80 ,75, 75, 80}

We have 5 elements, then N = 5

The first thing we need to find is the mean.

[tex]M = \frac{70 + 80 + 75 + 75 + 80}{5} = 76[/tex]

Then the variance will be:

[tex]v = \frac{(70 - 76)^2 + (80 - 76)^2 + (75 - 76)^2 + (75 - 76)^2 + (80 - 76)^2}{5} = 14[/tex]

The correct option is C, 14.

marcela tardo dos horas menos que roberto en recorrer una distancia en bicicleta, SI el producto de los dos tiempos es de 48 horas ¿cuanto trado cada uno?

Answers

Answer:

Marcela tardó 6 horas y Roberto tardó 8 horas.

Step-by-step explanation:

Dado que Marcela tardó dos horas menos que Roberto en recorrer una distancia en bicicleta, y sabiendo que el producto de los dos tiempos es de 48 horas, para determinar cuánto tardó cada uno se debe realizar el siguiente cálculo:

M = X

R = X + 2

X x (X + 2) = 48

8 x 6 = 48

Por lo tanto, Marcela tardó 6 horas y Roberto tardó 8 horas.

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