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3 years ago

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Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides

on a scale of 1 to 50. What is the length and width of the scale drawing of Elena’s bedroom, using the scale of 1 to 50?

1 answer:

nikdorinn [45]3 years ago

3 0

Answer:

Length~ 25,000 cm Width~ 15,000

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A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing

yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

Speed = 12 Km/h
Time = t
Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

Time (t) = 3.5 hours
Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

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1 year ago

Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared .

MatroZZZ [7]

Answer:

1. y = sin(x²+C)

2. see below

Step-by-step explanation:

1. $\frac{dy}{dx} = 2x\sqrt{1-y^2}$

separation of variables

$\frac{dy}{\sqrt{1-y^2} } = 2xdx$

integration both sides $\int\frac{dy}{\sqrt{1-y^2} } = \int2xdx$

you should get :

$sin^{-1} (y) = x^2+C$ remember constant of integration!!

2. y = sin(x²+C)

3 = sin(0+C)

y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range

4 0

3 years ago

If a worker can do his job in 5 hours, and a student can do the same job in 8 hours, what part of the work is left to finish aft

Aleks [24]

Answer:

Part of work left to finish after two work hours is 7/20

Step-by-step explanation:

Firstly, we need to calculate their joint work rate

That will be;

1/(1/5 + 1/8) = 1/(13/40) = 40/13

This means that they will complete the task in 40/13 hours

1 whole part takes 40/13

x part will take 2 hours

x * 40/13 = 2

40x = 26

x = 26/40

So the part that will be completed in two hours is 26/40

This means that the part left to complete will be:

1 - 26/40 = 14/40 = 7/20

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2 years ago

Read 2 more answers

V125BC [204]

Answer: 7 π r² + π r³

Explanation:

1) The general formula for the volumen, V, of a cylinder with radius r and height h is:

V = π r² h

2) Now you have the condition that the height is 7 inches greater than the radius, that is:

h = 7 + r

3) Replace h with its expression

V = π r² (7 + r)

4) Expand the product (use distributive property):

V = π (7r²) + π r³ = 7 π r² + π r³

Answer: 7 π r² + π r³

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3 years ago

Read this excerpt from “Incidents in the Life of a Slave Girl.” Again and again I had [traveled] those dreary twelve miles to an

Kamila [148]

Answer:

i think its D but im not entirely sure, im sincerly sry if im wrong

Step-by-step explanation:

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2 years ago