Benjamin is planning to make scale drawings of bat wings. He wants all of his drawings to use the same scale. He says he can use the equation d=1.5w to find the length of a scale drawing, d, based on the length of the bat wing, w. What is fhe scale factor of a bat wing length to scale drawing length? Explain.

Answers

Answer 1

Answer:

[tex]1.5[/tex] is the scale factor of a bat wing length to scale drawing length.

Step-by-step explanation:

A scale factor is a number which multiplies (scales) , some quantity. In the equation [tex]y=kx[/tex], [tex]k[/tex] is the scale factor for [tex]x[/tex]. Here, [tex]k[/tex] is called as the constant of proportionality of [tex]y[/tex] to [tex]x[/tex].

Consider the equation [tex]d=1.5w[/tex]

Here, d denotes the length of a scale drawing and w denotes the length of the bat wing.

So,

[tex]1.5[/tex] is the scale factor of a bat wing length to scale drawing length.


Related Questions


What two perfect squares does 11 sit in
between?

Answers

I think the answer is 9 and 16

Five students write measurements for the three side lengths of various triangles.
Student
Side Lengths
1 3, 4, and 5
2 4, 7, and 10
3 5, 12, and 16
4 6, 8, and 10
5 7, 11, and 13
Which students' measurements form a right triangle? Select ALL that apply.
A Student 1
B
Student 2
С
Student 3
D
Student 4
I
E
Student 5

Answers

Answer:

student 3 i think yea

Step-by-step explanation:

HELP ME PLEASE I NEED BRAINLIEST

Answers

Answer:

11

Step-by-step explanation:

Here, we replace x and y with the values given that x = 6 and y = 2:

=[tex]\frac{3(6)+4}{(2)}[/tex]

= [tex]\frac{18+4}{2}[/tex]

=[tex]\frac{22}{2}[/tex]

=11

Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R

Answers

Answer:

The measure of ∠R = 60°

Step-by-step explanation:

The given parameters are;

Triangle XYZ is reflected across the y-axis to create triangle PQR

The measure of ∠Y = 30°

Triangle XYZ = A right triangle

The measure of ∠X = 90°

Where we have;

The image of the preimage of vertex X = P

The image of the preimage of vertex Y = Q

The image of the preimage of vertex Z = R

Therefore, given that a reflection is a rigid transformation, we have;

The measure of ∠X = The measure of ∠P

The measure of ∠Y = The measure of ∠Q

The measure of ∠Z = The measure of ∠R

Given that the measure of ∠Y = 30° and the measure of ∠X = 90°

∠X +∠Y + ∠Z = 180° (angle summation of a triangle property

∴ The measure of ∠Z = 180° - (∠X + ∠Y)  = 180° - (90° + 30°) = 60°

Therefore;

The measure of ∠Z = 60° = The measure of ∠R

The measure of ∠R = 60°.

Jim had three more than twice the number of doughnuts as Jane. Jim had 15 doughnuts. What is the equation to find out how many doughnuts Jane had?

Answers

Answer:

x = 15 * 2 + 3

Step-by-step explanation:

hope this helps!

A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?

Answers

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]

Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

1. f(x) = 3x - 2 for D = (-3, 1, 5}
Plzzz help plzzz help plzz help

Answers

Answer:

Step-by-step explanation:

3(-3) - 2 = -9 - 2 = -11

3(1) - 2 = 3 - 2 = 1

3(5) - 1 = 15 - 1 = 14

PLZZZ I NEED HELPP THANK YOU SO MUCH

Answers

Answer: A.) B.) D.)

Step-by-step explanation:

It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.

Find the inverse of f(x) = 3x + 7

Answers

Answer:

g(x)=(x-7)/3

Step-by-step explanation:

Answer:

The answer would be  [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse

Step-by-step explanation:

Problem Solving (M1) About 100,000 people live in a town. The number 100,000 can be written as 10n, where n is a whole number. What is the value of n? How can you prove your answer? Explain your thinking. (Look at your exponent chart. It can help you!!) The value is 6 because there are 6 zeros and you have to count the zeros to get the answer.

Answers

Answer:

n = 5

Step-by-step explanation:

100,000 = 10^n

Take the log of both sides

log 100,000 = log 10^n

log 100,000 = n * log 10

Dividing both sides by log 10

log 100,000 / log 10 = n * log 10 / log 10

n = log 100,000 / log 10

= 5 / 1

n = 5

Q5.
Here are two fractions.
7/5 and 5/7

Work out which of the fractions is closer to 1
You must show all your working.​

Answers

Answer:

5/7

Step-by-step explanation:

You can convert them to fractions to answer:

7/5=1.4

5/7=0.714

7/5 is 0.4 away from 1, while 5/7 is 0.3 away.

Answer:

5/7 is closer

Step-by-step explanation:

7/5= 49/35=1 14/35

5/7= 25/35

7/5 is 14/35 away from one whereas 5/7 is 10/35 away.

What is the slope of the line through (3, 2) and (-3, 4)?
3.4)
(32)
1
2
14
A. -3
O B.
O D. 3

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)

m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C

The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).

What is slope of line?

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.

Given,

Points of line is (3, 2) and (-3, 4)

Let

x₁ = 3, y₁ = 2

x₂ = -3, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

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

m = 2/(-6)

m = -1/3

Hence, the slope of the line is -1/3

Learn more about Slope of Line here :

brainly.com/question/14511992

#SPJ5

What is -14x+28+6x=-44 and show your work pls and thankyou.

Answers

Answer:

x=2

Step-by-step explanation:

-14x+28+6x=-44

-8x+28=-44

-8x= -16

x=2

combine like terms

-8x+28 = -44

subtract 28 from both sides

-8x = -72

divide both sides by -8

x = 9

Which of the following is not a way to represent the solution of the inequality?
7 - 9x - (x + 12) <= 25?

A: x => -3
B: x <= -3
C: -3 <= x
D: a number line with a closed circle on negative 3 and shading to the right

Answers

Answer:

B) x <= -3

Step-by-step explanation:

B is the only answer that shows x being less than -3.

all of the other answers show x being greater than -3.

PLSSS HELPPP I BEG , it’s geometry

Answers

Answer:

x = 30°, y = 90°

Step-by-step explanation:

[tex](y + x) + (y - x) = 180 \\ 2y = 180 \\ y = 90 \\ [/tex]

[tex]2x + y + x = 180 \\ 3x + 90 = 180 \\ 3x = 90 \\ x = 30[/tex]

Solve each equation for x.
8. d= f+ fx

Answers

Answer:

(d/f)-1=x

Step-by-step explanation:

d=f+fx

d-f=fx

(d-f)/f=x

(d/f)-1=x

Which of the following statements are FALSE when identifying the type of slope of a line.
A Positive slope increases from left to right.
B Negative slope decreases from left to right.
C Undefined slope is when there is no vertical change.
D No or Zero slope is a horizontal line.

Answers

Answer: Choice C) Undefined slope is when there is no vertical change

If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.

This is because the slope formula

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

has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.

I need help please it’s due in a couple of minutes

Answers

Answer:

1. 16=v    top left

2. n=5.8   bottom left

3. n= -31.9   top right

4. b= 6 .   bottom right

If I am wrong I am sorry

From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.



What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?

Answers

Answer: help plz

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

the place value of 2 in 5.32 is​

Answers

Answer: hundredths

Step-by-step explanation:

The second number past the decimal point is the hundredths place

It is in the hundredths place hope this helps

Please helppppo thanksss!!!

Answers

Answer:

Your answer is (4,-3)

Step-by-step explanation:

You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.

Please explain your answer.

Answers

Answer:

.

Step-by-step explanation:

A population of largemouth bass is 950 this year and the rate of decrease is 35% per year. How many bass will remain after 15 years of decay at this rate?
425
617
1
525
332

Answers

Hi! I think it’s 425

18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product? ​

Answers

Answer:

48

Step-by-step explanation:

8

Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.

y = 0
y = 1
x = 1
x = –1
no vertical asymptotes
no horizontal asymptotes

Answers

Answer:

y = 0 , x = 1

Step-by-step explanation:

jdbdjdajhsbsbs

Answer:

Step-by-step explanation:

The graph has both a vertical and horizontal asymptote to which the value

of the function approaches as the y-values and x-values approaches

infinity respectively.

The horizontal asymptote is; y = 0The vertical asymptote is the line x = 1

Reasons:

The horizontal asymptote is the horizontal line that the function's graph

tends towards as the value of the input variable approaches infinity.

The horizontal line that the graph of the function approaches is y = 0

Therefore;

The horizontal asymptote is; y = 0

Similarly, the vertical asymptote is the vertical line that the graph of the

function approaches but never meets.

Therefore;

The graph of the function on the bottom left approaches the line x = 1 from

the left, while the graph of the function with the domain 0 < x < ∞,

approaches the line x = 1 from the right.

Therefore;

The vertical asymptote is the line x = 1

Learn more here:

https://brainly.com/question/13939972

What is the value of the expression below when x=3 and y=8?
6x + 10y

Answers

Answer: Answer: 98

6(3) + 10(8) = 98

Step-by-step explanation:

plz help me with this ty

Answers

Answer: $0.14 per fluid ounce.

Step-by-step explanation: $4.48 divided by 32 = $0.14

The difference between four times a number and six is -46

Answers

Answer: 4x-6=-46

4x-6=-46

Which expression will be easier to simplify if you use the community property to change the order of the numbers ​

Answers

Answer:

the answer is c beucse yses

Step-by-step explanation:

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