Phil's height is 51.2 cm, suzanne's height is 5'4", and suzanne's shadow lengthat gobblers knob is 76.2

Answers

Answer 1

Answer:

[tex]P_1 = 24cm[/tex]

Step-by-step explanation:

Represent:

Phil's height with P

Suzanne's height with S

Phil's shadow with P1

Suzanne's shadow with S1

So, we have:

[tex]P = 51.2cm[/tex]

[tex]S = 5'4"[/tex]

[tex]S_1 = 76.2cm[/tex]

Required

Calculate the length of Phil's shadow --- Missing part of question

To do this, we make use of the following equivalent ratio.

[tex]P:S = P_1 : S_1[/tex]

Convert [tex]S = 5'4"[/tex] to cm

[tex]S = 5ft\ 4in[/tex]

[tex]S = (5*30.48+ 4*2.54)cm[/tex]

[tex]S = 162.56cm[/tex]

Substitute values for P, S and S1

[tex]51.2cm : 162.56cm = P_1 : 76.2cm[/tex]

Express as fraction

[tex]\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}[/tex]

Make P1 the subject

[tex]P_1 = 76.2cm * \frac{51.2cm}{162.56cm}[/tex]

[tex]P_1 = 76.2cm * \frac{51.2}{162.56}[/tex]

[tex]P_1 = \frac{76.2cm * 51.2}{162.56}[/tex]

[tex]P_1 = \frac{3901.44cm}{162.56}[/tex]

[tex]P_1 = 24cm[/tex]

Hence, the length of Phil's shadow is 24 cm


Related Questions

What is -5 more than 2?

Answers

2 is more because -5 is in the negatives and 2 is in the positives

Step-by-step explanation:

no 2 is more than -5 because 2 is positive but -5 is negative

Can I please have some help with this question

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Answer:

60

Step-by-step explanation:

2a is more than 90 so it is more likely to be 120

so divide that by 2 and 60

Answer:i think a=120

The perimeter of the square below can be described by the expression 64 + 12y. A square. Which of the expressions describes the length of one side of the square? A square has 4 equal sides. StartFraction 64 over 4 EndFraction = 16; StartFraction 12 y over 4 EndFraction = 3 y 16 + 12y 4 + 12y 4 + 3y 16 + 3y

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Answer:

D

Step-by-step explanation:

I got it right on the instruction

EDGENUTIY 2021

Answer:

D

-by-step explanation:

I will give brainliest if correct !!

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Answer:

d) 8

Step-by-step explanation:

Answer:

d-8

Step-by-step explanation:

This table shows the population of caribou in an area over a period of years . a. What is the growth factor? b. Write an equation to model the population growth. C. How many caribou will there be in the area after 10 years? d. this model continues to hold true, how long until the caribou population exceeds one million?

Answers

Answer:

I Think its B

Step-by-step explanation:

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Find (4.2) x (1.6) by drawing an area diagram or using another method. Show your reasoning

Answers

awnscer is 6.72 sorry could not find a diagram

Answer:

The answer is 6.72

Step-by-step explanation:

what you can do is 42 x 16 (you can add the decimal if you want) btu after your done solving it you should get 672 and if your doing decimals just count how many behind the decimal and count it and you will get 6.72! hope this helps.

which line is perpendicular to the line y=2x+3

Answers

Answer:

d

Step-by-step explanation:

b. the x intercept is 3 and b is the only one where the line crosses 3 on the x axis

Work out the reciprocal of 4

Answers

0.25

Step-by-step explanation:

Reciprocal of a number is 1÷ that number

1÷4= 0.25

Beth went on vacation for 4 1/2 days in June and 8 1/2 days in July. How many days was Beth on vacation altogether?

Answers

Hi there,

Answer is: 4 months, because 4 plus 4 is 8.

Explanation: 4/1/2 ; 8/1/2

How to get 4/1/2 ; 8/1/2

So you add 4 to get 8 and 4 plus 4 is 8.

Can you please help me with this question

Answers

The answer is 9-7i :). .-. :)

Whatis the answer to the problem

Answers

Answer:

slope = [tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex]  are x and y values of another point.

So, use the x and y values of the points given and substitute them in the correct order into the formula:

[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]

Thus, the slope is [tex]-\frac{1}{8}[/tex].

Pls help for my math class!

Answers

Answer:

i think it is b but i am not 100%

sorry if i am wrong

Step-by-step explanation:

✨☆Easy math 9th grade☆✨

Answers

B. 28, you get that after you substitute the c and y values for 2 and 4

Answer:

268 but the closest is 104 so D

Step-by-step explanation:

4*4*4*4+12=268

40
9
41
Find the ratio for tan(A)
041/40
09/41
040/9
09/40
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Answers

Find the ratio for tan 42/9

mag Aral ka wag ka mag hanap Ng sagot

Daniella made gift bows from 3 yards of ribbon. The bows are
all the same size. If she made 9 bows, how much ribbon did
she use for each one?
A yard
B yard
C 3 yards
D 9 yards

Answers

Answer:

1/3 yard

thats the answer im pretty sure

but you cant see the first two question options

If 4 tickets cost $16 how much does one ticket cost?

Answers

Answer:

$4

Step-by-step explanation:

$16 divided by 4 which equals $4

16/4 so $4 each ticket is 4 quid

write 2+3n=4n in a sentence for the equation

Answers

Two plus three times n equals 4 times n

The given equation can be written in the form of the expression "The sum of two and three times a number is equal to four times the number".

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be broken into expressions and then can be written in form of phrases such as,

2 + 3n → Sum of two and three times a number4n → Four times the number

Hence, The given equation can be written in the form of the expression "The sum of two and three times a number is equal to four times the number".

Learn more about Equation here:

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Dante buys his lunch every day at school. After 15 days, Dante has spent $37.50 on school
lunches. At this rate, how much did Dante spend on school lunches after 5 days?

Answers

Answer:

12.5

Step-by-step explanation:

37.50÷15=2.5

2.5×5=12.5

Answer: $12.50

Step-by-step explanation:

You have to divide 37.5 by 15 which is 2.5 then multiply that by 5 which is 12.5.

this is a algebra question, please help if you can

Answers

9514 1404 393

Answer:

  (c)  output increases, then decreases ...

Step-by-step explanation:

The given function is quadratic, so it has a turning point. Neither linear nor exponential functions have a turning point, so are always increasing or decreasing.*

The second attachment shows a plot of the function with input on the x-axis and output (area of the rectangle) on the y-axis.

_____

* A linear function that is a horizontal line will be neither increasing nor decreasing.

A-line includes the points (8,9) and (9,1). What is its equation in point-slope form?

Answers

Answer:

[tex]y-(9)=(-8)(x-8)\\[/tex]

Step-by-step explanation:

[tex](x_1, y_1) = (8, 9)\\(x_2, y_2) = (9,1)\\[/tex]

Step one: Find the slope (m)

[tex]slope=m=\frac{rise}{run} =\frac{y_2-y_1}{x_2-x_1} = \frac{1-9}{9-8} =\frac{-8}{1} =-8[/tex]

Step two: Plug your known values into the point-slope equation

[tex]m=-8\\y_1=9\\x_1=8\\[/tex]

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(9)=(-8)(x-8)\\[/tex]

If you want to convert point-slope form to general form, isolate for y.

[tex]y-9=-8x+64\\y=-8x+73[/tex]

Find the least common multiple (LCM) of 2x^4 – 6x^3 – 8x^2 and 4x^3 – 4x.
You can give your answer in its factored form.

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \text{1. \: First \: expression} : \tt{2 {x}^{4} - 6 {x}^{3} - 8 {x}^{2} }[/tex]

⤑ [tex] \tt{2 {x}^{2}( {x}^{2} - 3x - 4) }[/tex]

⤑ [tex] \tt{2 {x}^{2} \{ \: {x}^{2 } - \: (4 - 1)x - 4 \} }[/tex]

⤑ [tex] \tt{2 {x}^{2} \{ {x}^{2} - 4x + x - 4 \} }[/tex]

⤑ [tex] \tt{2 {x}^{2} \{ x(x - 4) + 1(x - 4) \} }[/tex]

⤑ [tex] \tt{2 {x}^{2} (x - 4)(x + 1)}[/tex]

[tex] \text{2. Second \: expression} : \tt{4 {x}^{3} - 4x }[/tex]

⤑ [tex] \tt{4x( {x}^{2} - 1)}[/tex]

⤑ [tex] \tt{4x(x + 1)(x - 1)}[/tex]

L.C.M = Common × Remaining

= ( x + 1 ) × ( x - 1 ) × ( x - 4 ) × 2x² × 4x

= 8x³ ( x + 1 ) ( x - 1 ) ( x - 4 )

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt \: 8 {x}^{3} (x + 1)(x - 1)(x - 4)}}}}}}[/tex]

Hope I helped !

Have a wonderful day / night !

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Your teacher has disabled instant marking. Your marks will appear after the due date.
727
The perimeter of a right-angled triangle is 96 cm.
The lengths of its sides are in the ratio 6:8:10
Work out the area of the triangle in cm”.
B x W x = 2
Total marke: 4

Answers

Answer:

[tex]A=384\ cm^2[/tex]

Step-by-step explanation:

Let the sides of a triangle be 6x,8x and 10x.

Perimeter of the triangle, P = 96 cm

We need to find the area of the triangle.

P = sum of all sides

6x+8x+10x = 96

24x = 96

x = 4

Sides are :

6x = 6(4) = 24 cm

8x = 8(4) = 32 cm

10x = 10(4) = 40 cm

Area,

[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 24\times 32\\A=384\ cm^2[/tex]

So, the area of the triangle be [tex]384\ cm^2[/tex].

A certain forest covers an area of 4800 km^2 . Suppose that each year this area decreases by 5.25% . What will the area be after 6 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

the area after 6 years is  3,473 km^2

Step-by-step explanation:

The computation of the area after 6 years is as follows:

= Area × (1 - decreased percentage)^number of years

= 4,800 km^2 × (1 - 5.25%)^6

= 4,800 km^2 × 0.9475^6

= 3,473 km^2

Hence, the area after 6 years is  3,473 km^2

please help me ASAP!

Answers

12.50 dollars per hour, because at 4 hours you’re earning 50, so 50/4 is 12.50 or the unit rate.

A square picture has a 3-in. frame around it. If the area of the frame alone is 96 in.2 , what is the area of the picture?

Answers

Answer:

[tex] {25in}^{2} [/tex]

Step-by-step explanation:

see attached image

Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test 0 1 2 3 5 Hours How long did Jordan spend studying for each test?​

Answers

Answer:

The actual answer would be 1.67. So if 0,1,2,3,5 are your choices then none of them are right.

Step-by-step explanation:

I need points.

Please help.
Is algebra.

Answers

Answer: 2m^4 n^2 it’s option D

The correct answer is D.

Which coordinate in this ordered pair is the X coordinate? (5,-8)

Answers

Answer:

5

Step-by-step explanation:

The x coordinate is always listed first

The coordinate in this ordered pair (5, -8) the X coordinate will be 5.

What is an ordered pair?

An ordered pair is made up of the ordinate and abscissa coordinates, with the two values given in parenthesis in a certain order.

Paired in order. Two numbers that must be provided in a specific order are considered ordered pairs. A set of two integers used to locate a point in a coordinate plane is typically referred to as an ordered pair.

The coordinate is given below.

(5, -8)

The y-coordinate is -8 and the x-coordinate is 5.

The ordered pairs are written in a form of (x,y).

Therefore, the ordered pair corresponding to the given coordinates is (-8,9).

Learn more about the ordered pairs;

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Find the area of this shape? HELP Radius is 2 area is 3.14​

Answers

You shouldn’t need radius but the area is 46

you make the thing hanging of a square and the other big shape a triangle then 2x3 is 6 and 8x10 decided by 2 is 40 and 40+6 is 46

Answer:

Step-by-step explanation

what I learned was to separate the two shapes.

So the rectangle and the triangle will be multiplied separately.

We will make the 10 an 8 because of the 2 on top of the rectangle.

5*8= 40 because the shape is a triangle we divide the area of it by 2, and that would make 20. The triangles area is 20.

Now the rectangle: 2*3=6    

Add both of those numbers and the answer is 26 ft.

Esther takes 50 Gatorade's and 30 waters to a soccer game

Answers

Answer:

ok what else i need the whole question because good for her she has gaterade and water

Step-by-step explanation:

fix it

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