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


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Given g(x) = 3x + 14 , find x if g(x) = 20

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Answer: x = 2

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

y= 4x − 7 or 0=0

Step-by-step explanation:

4x−y+−4x=7+−4x

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Scale on a map of Ireland is 1.2 000000 how many square centimetres are represented on the map by the province of Munster.

Answers

Question is incomplete, we will however explain how the scale works using examples

Answer and explanation:

Given the map scale 1:2000000, the fraction from this 1/2000000 is the representative fraction. The representative fraction is the ratio of distance on the map to the real distance on ground.

With the representative fraction 1/2000000, we can find how many meters on the ground is represented by a unit of measurement in centimeters on the map thus:

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Representative fraction broken down = 1/2×10000×100

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Answers

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Step-by-step explanation:

Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.

Answers

Answer:

Well to start you already know the sandwich cost 5.25 and the total sales tax .92.

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Step-by-step explanation:

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Answers

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Answer:

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Answer:

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Step-by-step explanation:

This is the only true statement.

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answer:

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Step-by-step explanation:

TOPIC: You and two friends have $20 to spend on snacks after school.

Explain how you would divide the money between the three of you.

Explain where you would go and what you would buy with your money.​

Answers

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Answers

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Answers

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC<  AB+ BC =5+3=8 in

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Also, the  difference of the two sides must be smaller than the length of third side

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Answer:

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Answers

461+1=462

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Your answer is 461

Answer:

461

Step-by-step explanation:

Work backwards.

7 X 66=462

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1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points) Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)

Answers

Answer:

a.)x² + y² = 900

b.)y = √900 - x²

Step-by-step explanation:

P.S - The exact equation is as follows :

As given,

The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.

a.)

Equation of circle be x² + y² = r²

As given , leg of the roller coaster is 30 feet above the ground.

⇒ r = 30

⇒x² + y² = 30²

⇒x² + y² = 900

∴ we get

Equation of height of Roller coaster - x² + y² = 900

b.)

As we have,  x² + y² = 900

⇒y² = 900 - x²

⇒y = √900 - x²

The equation that models the height of the roller coaster is [tex]y = \sqrt{900 -x^2[/tex]

The general equation of a circle is:

[tex]x^2 + y^2 = r^2[/tex]

From the complete question, the radius of the circle is 30 units.

This means that:

r = 30

So, we have:

[tex]x^2 + y^2 = 30^2[/tex]

Express 30^2 as 900

[tex]x^2 + y^2 = 900[/tex]

Subtract x^2 from both sides

[tex]y^2 = 900 -x^2[/tex]

Take square roots of both sides

[tex]y = \pm \sqrt{900 -x^2[/tex]

Remove the negative root

This is so because the roller coaster is above the ground, and the height will be positive.

So, we have:

[tex]y = \sqrt{900 -x^2[/tex]

Hence, the required equation is [tex]y = \sqrt{900 -x^2[/tex]

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Answers

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y = -x
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y = x + 4

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Answers

Answer:

X=10

Step-by-step explanation:

What is the solution to the equation −4(2y − 4) − 4y = 4? (put number answer only)

Answers

-8y + 16 - 4y = 4
-12y + 16 = 4
-12y = -16
Y = 1.3333333

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step by step.

Step 1: Simplify both sides of the equation.

−4(2y−4)−4y=4

(−4)(2y)+(−4)(−4)+−4y=4(Distribute)

−8y+16+−4y=4

(−8y+−4y)+(16)=4(Combine Like Terms)

−12y+16=4

−12y+16=4

Step 2: Subtract 16 from both sides.

−12y+16−16=4−16

−12y=−12

Step 3: Divide both sides by -12.

y=1

Tori bought 5 bricks. Altogether, the bricks weighed 58.35 pounds. How much did each brick weigh?​​

Answers

Answer:

6433333356789

Step-by-step explanation:

Answer:

the poounds is of number

Step-by-step explanation:

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Answers

Answer:

60

Step-by-step explanation:

Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each. Linear Function A Points: (–5, –2), (–5, 7) Linear Function B Points: (7, –5), (–2, –5) Function A has a slope of -7a slope of 0a slope of 9no slope. The equation of line A is x = -5y = -5x = -2y = 7. Function B has a slope of -7a slope of 0a slope of 9no slope. The equation of line B is x = -5y = -5x = -2y = 7.​

Answers

Answer:

5

Step-by-step explanation:

The difference between 3/4 of a number (n) and 8 is 5/8 of the number. Wut is the number

Answers

Answer:

n = 64

Step-by-step explanation:

3/4n - 8 = 5/8n

-8 = 5/8n - 6/8n

-8 = -1/8n

-n = -64

n = 64

The unknown number is 64.

Important information:

The difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{5}{8}[/tex] of the number.Linear Equation:

[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].

Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].

[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].

Using the given information form a linear equation.

[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]

Now, solve the equation.

[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]

[tex]\dfrac{6n-5n}{8}=8[/tex]

[tex]\dfrac{n}{8}=8[/tex]

Multiply both sides by 8.

[tex]n=64[/tex]

Therefore, the unknown number is 64.

Find out more about 'Linear Equation' here:

https://brainly.com/question/7244488

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