A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.

Answers

Answer 1

Answer:

[tex]Actual\ Length = 2.54\ cm[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae

Step-by-step explanation:

Given

The following scale measurements

[tex]Length = 7.62cm[/tex]

[tex]Width = 3.81cm[/tex]

[tex]Scale\ Factor = 3[/tex]

Solving (a): The actual length.

We simply divide the scale length by the scale factor.

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]

[tex]Actual\ Length = 2.54\ cm[/tex]

Solving (b): The actual width.

We simply divide the scale width by the scale factor.

[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]

[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]

[tex]Actual\ Width = 1.27\ cm[/tex]

Solving (c):

Given: Actual Length of the beetle's antennae is 0.2 cm.

Required: Determine the scale measurement.

This is solved using:

[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]

[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]

[tex]Scale\ Length = 0.2cm * 3[/tex]

[tex]Scale\ Length = 0.6\ cm[/tex]


Related Questions

I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each!

Answers

Answer:

1. (0,5) (16,21) (20,25) (36,41) (55,60)

Step-by-step explanation:

Hope this helped you!! Give brainliest

Answer:

nnrrharthtghgdzhgdhth

Step-by-step explanation:

The expression below represents Brianna’s age in
terms of m, Molly’s age.
3m − 5
Which of the following statements must be true?
A Brianna’s age is 3 less than 5 times Molly’s
age.
B Brianna’s age is 5 less than 3 times Molly’s
age.
C Molly’s age is 3 less than 5 times Brianna’s
age.
D Molly’s age is 5 less than 3 times Brianna’s
age.

Answers

Answer: B. Brianna’s age is 5 less than 3 times Molly age.

Step-by-step explanation:

We are informed that the expression below represents Brianna’s age in

terms of m, Molly’s age.

3m − 5.

This shows that 3m simply means that 3 times of Molly's age while the -5 represent less than 5. This will now be:

Brianna’s age is 5 less than 3 times Molly age.

On Thursday, 300 adults and children attended a show. The ratio of adults to children was 4 to 1. How many children attended the show?

Answers

Answer:

plz make it brainlisted

Step-by-step explanation:

Since the total is 300 and the ratio is 4:1,

Let us suppose the number of adults be 4x and children be x;

According to the question,

4x+x=300

or,5x=300

or,x=(300/5)

or,x=60

So, 60 students attended the show.

Answer:

75

Step-by-step explanation:

4:1 children meaning 1/4 of the population of 300 is 75

Please help me with this I’ll give you brainliest points and likes

Answers

Answer:

help with what

Step-by-step explanation:

Can anyone help me I’m struggling with this I would appreciate

Answers

I THINK 4x + 10y = -20 is the answer, bec there is no way u can answers that .

|-4 + 3| · 8.
iiiiiiiiiiiii nnnnnnnnnnneeeeeeeeeeeeeddddddddddd hhhhhhhheeeeeeelllllllllllllpppppppp nnnnnnnnnooooooowwwwwwwww!!!!!!!!!!!!!11

Answers

Answer:

8

Step-by-step explanation:

-4+3=-1

|-4+3|=1

|-4+3|•8=8

(|) the vertical line represent absolute value if it is a negative number inside the vertical lines it gives a positive number

Examples:

|-1|=1

|-4|=4

Hope you understand

Answer:

bruh are you seriously in 5th grade?

Step-by-step explanation:

Ez it's -1·8

Can someone please help me with this ? Dew in 5 mins .. I clicked the first answer on accident btw ..

Answers

Answer:

B The equation is 4x = -48. Ben's point total is -12.

Step-by-step explanation:

Ben's total + Olive's total = -48

x + 3x = -48

4x = -48

x = -48 ÷ 4

Ben's total (x) = -12

Answer:

D

Step-by-step explanation:

If the Olive's is 3 times x, this can be written as 3x. Ben's score is just x. Combine those to get the equation 4x=-48. Divide to get x=-12

Hope that makes sense!

2. What is the slope of the line that passes through the points M(-5,0) and N (6,8)?

Answers

Answer:

Hi how are you doing today Jasmine

The slope of the line that passes through the given points M(-5, 0) and N (6, 8) is [tex]\frac{8}{11}[/tex]

Given the following points:

Points on the x-axis = (-5, 6) Points on the y-axis = (0, 8)

To calculate the slope of the line that passes through the given points M(-5, 0) and N (6, 8), we would use the following formula;

The slope of a line can be defined as the gradient of a line.

Hence, a slope is typically used to describe both the direction and steepness of an equation of a straight line.  

Mathematically, the slope of a line is given by the following formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope. \;m = \frac{8 - 0}{6 - [-5]}\\\\Slope. \;m = \frac{8}{11}\\\\Slope. \;m = \frac{8}{11}[/tex]

Read more: https://brainly.com/question/14096662

f(x) = (1/6)^x for x =3

Answers

Answer:

1/216 is the answer hope it's right

Jordan went shopping last weekend and bought a pair of shoes. The shoes were originally priced at $124.00, but are now on sale for 30% off the regular price. The sales tax is 7%.

What is the sales tax?

Answers

Answer:

8.68

Step-by-step explanation:

just multiply 124.00 times 0.07 and that's it

please does anyone know the correct answer choice!?!?

Answers

Answer:

I believe the answer would be b

Step-by-step explanation:

Solve equation 1 for the variable  y  

y = -5x  

 Plug this in for variable  y  in equation

4•(-5x) + 12x = 16

- 8x = 16

Solve equation 2 for the variable  x  

8x = - 16  

x = - 2  

so far we know this

y = -5x

x = -2

Use the  x  value to solve for  y  

 y = -5(-2) = 10

which would give us the answer B

PLS HELP!!! I WILL MARK!!!

Answers

(-9, 9)

(-6, 4)

(-3,-1)

(0,-6)

9,4,-1,-6

Answer:

See Explanation

Step-by-step explanation:

[tex]f(x) = - \frac{5}{3} \times - 6 \\ \\ \begin{vmatrix} x & \: \: \: \: \: \: f(x) \\ \\ - 9 & \: \: \: \: \: \: \boxed{9 }\\ \\ - 6 & \: \: \: \: \: \: \boxed4\\ \\ - 3 & \: \: \: \: \: \: \boxed{- 1}\\ \\ 0 & \: \: \: \: \: \: \boxed{- 6 }\end{vmatrix}[/tex]

Hdjdndbeiekenen ANSWERRRRREEEEEEEEEEEEEEE

Answers

Answer:

It stays open because |-45.50| > 30

Step-by-step explanation:

Given that :

Balance in Linda's account = - 45.50

If she owes more than $30, her account gets closed

The absolute value of any number returns a positive value of that same number :

Hence,

|-45.50| = 45.50

Comparing the options :

|-45.50| > 30

Once, the account does not fall below - $30, Lindsay's account stays open.

Therefore,

The true statement is ;

It stays open because ;

|-45.50| > 30

Gino and Milla each open a savings account with an initial deposit of $6,300. Gino's account pays 2% simple interest annually. Milla's account pays 3% simple interest annually. If Gino and Milla make no other deposits or withdrawals, how much more interest will Milla's account earn than Gino's after 1 year?

Answers

Answer:

Milla's account would earn $63 more that Gino's account after 1 year.

Step-by-step explanation:

Both Gino and Milla made an initial deposit of $6300.

Principal = $6300

Gino's rate = 2% = 0.02

Milla's rate = 3% = 0.03

number of years = 1

Interest = Principal x Rate x Time

So that,

for Gino;

Interest = 6300 x 0.02 x 1

            = 126

The interest on Gino's savings after a year is $126.

for Milla;

Interest = 6300 x 0.03 x 1

             = 189

The interest on Milla's savings after a year is $189.

Milla's interest - Gino's interest = 189 - 126

                                                   = 63

Milla's account would earn $63 more that Gino's account after 1 year.

Please help!
Stephen had his scooter repaired for a total of $90. The cost for the parts was $25. The cost for the labor was $15 an hour. If h represents the number of hours, which of the following shows an equality between two different ways of expressing the total cost of Stephen's scooter repairs?

A. 40h = 90
B. 15 + 25h = 90
C. 90 + 25h = 15
D. 15h + 25 = 90

Answers

Answer: D

Step-by-step explanation:

Answer:D

Step-by-step explanation:

...

A drawing has a scale of 1:40 on the drawing a bedroom is a rectangle measuring 10 cm x 18 cm a kitchen has an actual area of 300,000 cm² which has the bigger actual area of the kitchen or the bedroom

Answers

Answer:

The kitchen has a bigger actual area than the bedroom

Step-by-step explanation:

Here, we want to know the compartment with the bigger area

Since the bedroom has a drawing measure of 1 to 40; compared to the actual measurement;

The real dimensions will be;

10 * 40 and 18 * 40

= 400 by 720

So, its area which is length * width will be;

400 cm * 720 cm = 288,000 cm^2

we can see that the kitchen with an area of 300,000 cm^2 is bigger than this area of the bedroom

IM RUNNING OUT OF TIME AND I ONLY HAVE A FEW MINUTES LEFT PLEASE HELP ME!!! IM GIVING 15 POINTS

Answers

Answer:

what is l and multiply l by 4 my guy

Step-by-step explanation:

Answer:

x = 25

<HKL  = 102

Step-by-step explanation:

<LKH + <HKJ = 180 since the two angles form a straight line

<LKH + <HKJ = 180

4x+2 + 78 = 180

Combine like terms

4x+80 =180

Subtract 80 from each side

4x+80-80=180-80

4x= 100

Divide by 4

4x/4 = 100/4

x = 25

<LKH  = 4x+2 = 4*25 +2 = 100+2 = 102

The ratio of plastic bags to paper bags in a grocery store was 5/7. There were 276 bags. How many were plastic bags?

Answers

Answer: 115 bags

Step-by-step explanation: 115/161 eqauls 5/7

Which is the graph of y – 3 = (-2/3)(x + 6)?

Answers

Answer:

The points are on (-1.5,0) and (0,-1)

Step-by-step explanation:

Hope this helps!

Brain-List?

can i have help plz i rally need it

Answers

The answer is D. 4:3

QUESTION 15!1!!11!JAKQKQKAKAKS

Answers

Answer:

2 groups of 3 boys = 6

Step-by-step explanation:

A hockey player has a total record of 90 points earned based on goals and assists. If his ratio of goals to assists is 7:3, how many goals did he get?

Answers

Answer:

[tex]63[/tex] goals

Step-by-step explanation:

Given information:

Total points earned from goals and assists = [tex]90[/tex]

Goals : assists = [tex]7:3[/tex]

Finding the number of goals:

Goals  [tex]=\frac{7}{3+7}\times90[/tex]

[tex]=\frac{7}{10}\times90[/tex]

[tex]=63[/tex]

∴ The hockey player earned [tex]63[/tex] goals.

Hope this helps :)

The answer: 63 goals

Reason: because it is

Mr. Lin writes the expressions
-20 - 8 and 8 - (-20) on the board.
He asks his class which result is greater. How can his class decide without finding
the value of each difference?

Answers

Answer:

Just see that the first expression has all negative, meaning the total will be a negative, but the second expression the subtraction sign and the negative sign are together, there's a rule when two negative sign's are together/next to each other, they turn into a addition sign, so it basically 8 + 20 for the second expression, so 8-(-20) has a higher result

Step-by-step explanation:

There's no work needed to be done :P

The first one will be all negative and the second one will be all positive

I need help with this ​

Answers

12
y=27
p=5
a=28
r=32
c=4
q=11
u=5
w=30
z=1
sorry if these are wrong or mixed up

Can anybody do this for me please

Answers

Answer:

it very simple actually, just do it what its saying from any point it wont really matter youll still get it right

Step-by-step explanation:

A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%

Answers

Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Please help really quick, I'll give Brainliest. You only have to do Q1, but more is welcome.

Answers

Answer:

1) 90+30+x=180

x= 60

2) 2x+90=180

x= 45

3) angle SPQ

90+55+ SPQ=180

SPQ= 35

Therefore as op=os=radii= isosceles triangle

angles OPS=OSP

SPQ +QPO=OSP

35 + x = 55

x=20

4)110+ 90+90 +x=360

x=70

5)90 +90 +45+x=360

x=135

hope it helped.

PLS I NEED HELP ASAP

Answers

Answer:

Answer C

.....,.................

Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?

Answers

Step-by-step explanation:

h = 64t - 16t².

When the ball reaches the ground, h = 0.

Therefore 64t - 16t² = 0, 16t(4 - t) = 0, t = 0 or t = 4.

Therefore the ball reaches the ground 'again' at t = 4.

t=4 thank me later :)

What is the sum of first k+1 even numbers

Answers

Answer:

[tex]Sum = (k+1)(k+2)[/tex]

Step-by-step explanation:

Given

k + 1 even numbers

Required

Their sum

This question will be solved using the sum of nth term of an AP

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Where

a = the first even number

[tex]a = 2[/tex]

n = number of terms

[tex]n =k +1[/tex]

d = difference between consecutive even numbers

[tex]d = 2[/tex]

So, the expression becomes:

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]

[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]

Factorize 4 + 2k

[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]

[tex]Sum = (k+1)*(2 + k)[/tex]

[tex]Sum = (k+1)*(k+2)[/tex]

[tex]Sum = (k+1)(k+2)[/tex]

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