Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?

Answers

Answer 1

Answer:

Yuron's painting is 36 inches wide.

Step-by-step explanation:

Given that Yuron is sketching a scale drawing of a famous painting which is 54 inches wide and 72 inches long. He used a scale factor of [tex]\frac{2}{3}[/tex] to make his sketch.

We are given to find the width of Yuron’s sketch.

Let, w and w' represents the width of the famous painting and  Yuron's painting.

Then, w = 54 inches,  w' = ?

We know that the scale factor is defined by

[tex]S=\frac{Length of a side of a dilated figure}{Length of the corresponding side of the original figure}[/tex]

Therefore, we have

[tex]\frac{2}{3} =\frac{Width og Yuron's painting}{Width of the famous painting}[/tex]

[tex]\frac{2}{3} = \frac{w}{w}[/tex]

[tex]\frac{2}{3}=\frac{w}{54}[/tex]

[tex]\frac{2}{3}=\frac{2*54}{3}[/tex]

[tex]w= 36[/tex]

Thus,  Yuron's painting is 36 inches wide.

Answer 2

Answer:

Yuron's painting is 36 inches wide.

Step-by-step explanation:


Related Questions

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

x = 11

Step-by-step explanation:

(-x + 11)(x + 3)= 0

-x + 1 1 = 0 or x+3 = 0

-x = -11 or x = -3

x=11 or x=-3 (rejected cos negative)

Angle b measures 60 what is the measure of the angle that is complementary to angle b ?

Answers

Answer:

30°

Step-by-step explanation:

Complementary is they add up to 90°

90° - 60° = 30°

Answer:

30 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees.   Thus, 60 and (complementary angle) = 90 degrees.  Thus, the angle that is complementary to 60 degrees is 30 degrees.

Please do number 2 QUICK

Answers

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

write the equation for a parabola with a focus at (0,-5) and a directrix at y=-3

Answers

-4y -16 = x^2
All done

Ok so I wanted to make sure my math was correct
Is 274.43 - 20.46 - 25.89 = 228.08

Answers

========================

yes you are absolutely correct....

mark it as brainliest...

the answer which you have done is correct !

Please help meeeeeeee only answered this if you know geometry

Answers

Answer:

Step-by-step explanation:

AL is congruent to EK, and angle K is congruent to angle L. The only other congruency not marked but you know to be true is that, by the reflexive property, side AE is congruent to side AE. But that would give us a congruency statement SSA which is not actually a way to prove triangle congruency (you'll learn why if you take pre-calculus). So none of the choices work for what you're given.

Can u guys pls help me with my maths

Answers

Answer:

um what's your math on??

We need the question so that we can help...

How much money must be deposited to T
earn $200.00 in simple interest in 6 months at an annual
rate of 5.5%?
Can someone help me please?!

Answers

Answer:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 200(1 + (0.055 × 0.5)) = 205.5

A = $205.50

Step-by-step explanation:

HELP?! ASAP PLEASE! !!!

Answers

Answer:

In an isosceles triangle the base angles are congruent, meaning that the "missing" angle is also a. This means that 40 + a + a = 180 because the sum of angles in a triangle is 180.

40 + a + a = 180

40 + 2a = 180

2a = 140

a = 70°

If you used 0.5 ml of sample and 2.5 ml of diluent what is your dilution ratio?

Answers

Answer:

1/6

Step-by-step explanation:

I think it is:

0.5/(0.5+2.5) = 0.5/3 = 1/6

Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, an identical watch costs £145. Given that £1=1.55CHF a) In which city is the watch cheaper. b) By how much is it cheaper (in £) i need help on part b , pleeeeaseeee help;(

Answers

Answer:

The watch is cheaper in Geneva, Switzerland by a value of £20

Step-by-step explanation:

To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.

Since pounds is also used in the b part of the question, it would be easier working with it.

In Geneva, the price of the watch is 193.75 CHF

from our conversion formula;

£1 = 1.55 CHF

£x = 193.75 CHF

We cross multiply to get the value of x

(193.75 * 1)/1.55

= 193.75/1.55 = £125

We can see that the watch costs less in Geneva and higher in Manchester

By how much is it cheaper?

We can calculate this by subtracting the value in Geneva from the value in Manchester

That would be 145-125 = £20 cheaper

A candy company claims that 25% of the candies in its bags are colored green. Steve buys 32 bags of 32 candies, randomly selects one candy from each, and counts the number of green candies. If there are 7, 8, or 9 green candies, Steve will conclude that the company's claim is correct. What is the probability of Steve agreeing with the company's claim? Use Excel to find the probability.

Answers

Answer:

45.88%

Step-by-step explanation:

We have in this case a binomial distribution when p = 0.25, since the probability is 25%

. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.

In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:

P (X = 7) + P (X = 8) + P (X = 9)

Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)

P = 0.1546 + 0.1610 + 0.1431

P = 0.4588

Probability that steve agrees with the company's claim 45.88%

A photographer takes a picture of a train travelling at the speed of 40m/s.If the camera takes 0.01sec to take picture,how far did the train travel in this time?

Answers

Answer: 0.4m

Step-by-step explanation:

From the question, photographer takes a picture of a train travelling at the speed of 40m/s and the camera takes 0.01sec to take picture. We want to know the distance that the train travelled in this time.

Distance = speed × time

Distance = 40m/s × 0.01s

= 0.4m

Olivia has $143 in the bank. She withdraws $40. Then she deposits $92. Write an addition expression to represent the situation.Then find the sum.

Answers

Answer:

The addition expression to represent the situation is $143 + ( - $40 ) + ( $92)

Sum is $195

Step-by-step explanation:

Given: Olivia has $143 in the bank. She withdraws $40. Then she deposits $92

To find:  addition expression to represent the given situation. Also, to find the sum

Solution:

Amount in the bank = $143

Amount withdrawn from the bank is denoted by the minus sign

So, amount withdrawn from the bank = - $40

Amount deposited in the bank is denoted by the plus sign

So, amount deposited in the bank = +$92

Therefore,

the addition expression to represent the situation is $143 + ( - $40 ) + ( $92 )

Also,

$143 + ( - $40 ) + ( $92 ) = $143 - $40 + $92 = $195

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!

Answers

the answer is 2.

when u solve 4-4x+ x^2

you will get your answer 2..

a line with the a slope of -1 passes through the point 0, -3 what is its equation in slope intercept form​

Answers

Answer:

y = -x -3

Step-by-step explanation:

Slope intercept form is in the form y= mx+b where m is the slope and b is the y intercept

Plug in the values from the problem

The answer would be Y= -x - 3

What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)?

Answers

Answer:

Step-by-step explanation:

(3-7)/(-2+1)= -4/-1= 4

y - 7 = 4(x + 1)

y - 7 = 4x + 4

y = 4x + 11

Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?

Answers

Answer:

128

Step-by-step explanation:

Answer:

I think its C: 102

Step-by-step explanation:

78 + x = 180

180-78 = 102

One recipe calls for 1/3 cup of flour per batch and the other calls for 1/2 per batch. How much flour will Marcy use if she makes 12 batches for each type of cookie?

Answers

Answer:

The answer would be 10 cups

Step-by-step explanation:

Hey there!

We have 1/3 cup per patch for twelve batches for one recipe.
1/3(12)=4

And we have 1/2 cup for each recipe for another twelve batches.

1/2(12)=6

We add these two....
6+4=10

Therefore, Marcy uses ten cups of the flour.

I hope this helps!

E is between D and F. DE = 4x + 2, EF = 3x, and DF = 16.

Answers

Answer:

x=2

Step-by-step explanation:

DE=4x+2, EF=3x, and DF=16

DE=4(2)+2, EF=3(2), and DF=16

DE=10, EF=6, and DF=16

How do I do this?
I really need help and I don’t understand

Answers

Answer:

I think its a trapezium

area of trapezium= 1/2×(sum of parallel sides) ×height

1×(28+26)×18

2

1/2×54×18

54×9

= 586 km²

hope it helps

Find the area of a circle whose circumference is 24 pi.

Answers

Answer:

452.39 sq.unit is the area of that circle.

Which graph represents the function f(x) = 2 (2)X?

Answers

Where are the graphs

Answer:

C.) Third graph

Step-by-step explanation:

BeCaUsE i KnOw :P

A farmer wants to plant peas and carrots on no more than 300 acres of his farm. If x represents the number of acres of peas and y represents the number of acres of carrots for solution (x, y), then which is a viable solution? (−25, 100) (380, −160) (150, 145) (100, 250)

Answers

Answer:

The answer is C.

Step-by-step explanation:

You can't have a negative number of peas or carrots, so A and B are out. 1

00+250=350 which is more than 300.

150+145 = 295 which is less than 300.

So the answer is C.

The solutions of an equation are the true values of the equation.

The only viable solution is (c) (150, 145)

Let x represent peas and y represents carrots.

So, the constraints are:

[tex]\mathbf{x , y \ge 0}[/tex] ---- i.e. the values of x and y cannot be 0

[tex]\mathbf{x + y \le 300}[/tex] ---- i.e. the sum of x and y cannot exceed 300

[tex]\mathbf{x , y \ge 0}[/tex]  means that options (a) and (b) are wrong.

This is so, because:

(-25, 100) and (380, -160) contain negative values of x or y

[tex]\mathbf{x + y \le 300}[/tex] means that option (d) is wrong.

This is so, because:

The sum of (100, 250) exceeds 300

Hence, the only viable solution is (c) (150, 145)

Read more about viable solutions at:

https://brainly.com/question/16057582

QUICK!! Identify the parts of this prism. A is ___ B is ___ C is ___

Answers

Answer:

c=face. b=vertex. a=line

Step-by-step explanation:

Answer:

a= edge   b=vertex    c=face

Step-by-step explanation:

And the area
Plz help me anyone.

Answers

34 units is your perimeter

Explanation:
From (1,2) to (9,2) is 8 units
From (9,2) to (9,11) is 9 units
8 * 2 = 16
9 * 2 = 18
18 + 16 = 34 units
34 units that the answere

There were more dragons than knights in the battle. In fact, the ratio of dragons to knights was 5 to 4. If there were 60 knights, how many dragons were there?

Answers

Answer:

75 Dragons

Step-by-step explanation:

We know that the ratio is 5 dragons and 4 knights.

Now, there are 60 knights, meaning the original number of knights (4), was multiplied by 15. So, if one side is multiplied by 15, the other side must follow the same rule. So, 15 x 5 = 75.

There are 75 Dragons.

Answer:

75

Step-by-step explanation:

thats a lot of flipping dragons, you better hope they are the size of a dog or youre flipping dead

Make v the subject of the relation KE = ½mv²

Answers

Answer:

[tex]v=\sqrt{\frac{2KE}{m} }[/tex]

Step-by-step explanation:

[tex]KE = 1/2mv^2[/tex]

[tex]KE/1/2=mv^2[/tex]

[tex]2KE=mv^2[/tex]

[tex]2KE/m=v^2[/tex]

[tex]\sqrt{2KE/m} =v[/tex]

A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8° to the horizontal. The total height of the bank is 2.8 m. How long must the sloping section of the ramp be? Give your answer to the nearest centimetre.

Answers

Answer:

The length of the sloping section of the ramp is 20.12 m

Step-by-step explanation:

Given;

the total height of the bank, h = 2.8 m

The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°

Let the length of the sloping section = L

let the horizontal distance between the height of the bank and sloping section = b

Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h  (height of the triangle) as the opposite side and b  (base of the triangle) as the adjacent side.

We determine L by applying the following formula;

Sinθ = opposite / hypotenuse

Sin θ = h / L

L = h / Sin θ

L = 2.8 / Sin 8

L = 2.8 / 0.13917

L = 20.12 m

Therefore, the length of the sloping section of the ramp is 20.12 m

The price of a rare collection car has increased exponentially
over the past few years with a rate of increase estimated at 5% per year.
At the start of 2015 the value of the car was estimated at £265000.
Estimate the value of the car at the start of 2010.
Round your answer to 3 significant figures.​

Answers

Answer: £208,000

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original price

r = increase rate (decimal form)

t= years  (2015-2010 =5 years)

A = price after t years

Replacing with the values given:

265,000 = p (1+ 0.05)^5

Solving for p

265,000 = p (1.05)^5

265,000 = p (1.05)^5

265,000/ (1.05)^5 =p

p =  £207,634. =208,000 (rounded)

Feel free to ask for more if needed or if you did not understand something.

Answer:

208,000

Step-by-step explanation:

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