The sides of an oblong are in the ratio of 4:3. The oblong has a length of 12 cm and is increased by a scale factor of 2.5. What will the increased width be

Answers

Answer 1

Answer:

If the scale factor is increased in 2.5, the increased width will be:

22.5 cm

Step-by-step explanation:

Remember that an oblong is longer than it is wide, by this reason, the ratio of 4:3 could mean, if we give a number, by each 4 cm in the length, there is 3 cm in the width, in this form, if the oblong has a length of 12 cm, the width is:

4 cm ⇒ 3 cm12 cm ⇒ x

So:

[tex]x=\frac{12 *3}{4}[/tex][tex]x=\frac{36}{4}[/tex][tex]x=9[/tex]

Then, the original width is 9 cm, as the scale factor must be increased 2.5, we can multiply the found width to obtain the increased width:

Increased width = 9 cm * 2.5Increased width = 22.5 cm

As you can see, the increased widt will be 22.5 cm.


Related Questions

Which of the following functions is graphed below?

Answers

The answer to this is D

Which of the following angles in standard position has a measure between 90° and
180°?

Answers

The answer is A

The angle is greater than 90 degrees but less than 180 degrees

A Baker has 88 muffins. He fills large boxes that hold 9 muffins each. Then,he puts the leftover muffins in a small box. How many muffins are in the small box? ​

Answers

Answer: 7

Step-by-step explanation:

9 x 9 =81

88-81=7

There will be 7 muffins in the small box.

A glass is 1/3 full.
Then 63cm3 of orange juice is poured in.
The glass is now 5/8 full.
What is the total volume of the glass?

Answers

Answer:

216 cm³

Step-by-step explanation:

1/3x + 63 = 5/8x

subtract 1/3x from each side; (1/3x = 8/24x  and  5/8x = 15/24x)

63 = 7/24x

7x = 63(24)

7x = 1512

x = 216

Given the function h(x)=-x^2 + X+4 determine the average rate of change of function over interval -1< x < 5

Answers

Answer:

- 3

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

[tex]\frac{h(b)-h(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 5 ] , then

h(b) = h(5) = - 5² +  5 + 4 = - 25 + 9 = - 16

h(a) = h(- 1) = - (- 1)² + (- 1) + 4 = - 1 - 1 + 4 = 2

average rate of change = [tex]\frac{-16-2}{5-(-1)}[/tex] = [tex]\frac{-18}{6}[/tex] = - 3

i need the answer to this question

Answers

Answer:

SR=1/2*PO

5x-38=1/2*7x-49

2(5x-38)=7x-49

10x-76=7x-49

10x-7x=-49+76

3x=27

x=27/3

x=9

substitute the value of x in RS

5x-38

5*9-38

45-38

7

Step-by-step explanation:

Answer:

RS = 7

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is

5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )

10x - 76 = 7x - 49 ( subtract 7x from both sides )

3x - 76 = - 49 ( add 76 to both sides )

3x = 27 ( divide both sides by 3 )

x = 9

Then

RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7

need math help please!

Answers

Answer:

14.1

Step-by-step explanation:

[tex]\frac{\pi *angle*radius}{180}[/tex] here is a formula for finding the answer for the future

We know that the angle is 54 degrees and the radius is 15 units

So now that we have the formula we can plug in the numbers which would like this:

[tex]\frac{\pi*54*15}{180}[/tex]

Calculate: 14.1371669412

Round to the nearest tenth = 14.1

Hope this helps :)

what fraction is bigger? 11/20 or 2/5

Answers

Answer:

Let's make both of them have a common denominator since we can't just identify by the looks of it.

2 x 4 =  8

          ___

5 x 4 = 20

11/20 > 8/20

11/20 is bigger.

Un submarino se encuentra 50m por debajo del nivel del mar y comienza a subir 2m cada 5 minutos ¿a que profundidad se encuentra a la hora de haber comenzado el ascenso?¿cuanto tiempo le faltara para llegar a la superficie?

Answers

Answer:

a) El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.

b) Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.

Step-by-step explanation:

a) De acuerdo con el enunciado, la cantidad de metros ascendidos por el submarino es directamente proporcional al tiempo, entonces la profundidad del submarino a la hora de haber comenzado el ascenso se obtiene mediante la siguiente relación lineal:

[tex]h = 50\,m - \frac{2\,m}{5\,min}\times 60\,min[/tex]

[tex]h = 26\,m[/tex]

El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.

b) En primer lugar, calculamos el tiempo total del viaje mediante la siguiente relación:

[tex]\frac{2\,m}{5\,min} = \frac{50\,m}{t}[/tex]

[tex]t = 50\,m\times \frac{5\,min}{2\,m}[/tex]

[tex]t = 125\,min[/tex] ([tex]2\,h\,5\,min[/tex])

El tiempo faltante para alcanzar la superficie se calcula mediante la siguiente sustracción:

[tex]\Delta t = 125\,min - 60\,min[/tex]

[tex]\Delta t = 65\,min[/tex] ([tex]1\,h\,5\,min[/tex])

Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.

simplify: x'2-9/x'2-3x

Answers

Answer:

this is the answer Hope's it helps

What is the total area of the shape?

A 35 cm?
B 100 cm?
C 70 cm?
D 50 cm?

Answers

Answer:

C. 70 cm

Step-by-step explanation:

Split all the shapes, so, the square would be:

4 × 10 = 40

---------------------------------------------------------------------------------------------------------------

Each triangle has an area of 7.5:

7.5 × 4 = 30

---------------------------------------------------------------------------------------------------------------

30 + 40 = 70

---------------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

70

Step-by-step explanation:

square= 40 (10x4)

two triangles= another square with smaller dimensions= 15

there are two more triangles on the other side so 15x2=30

30+40=70

1) Does the table show a proportional relationship? *
1. Last summer, Milo sold water bottles at the park to raise money for his baseball
team.
He made the table below.
High
Temperature
(degrees)

50
85
85
90
100

Number of
Water Bottles
Sold

10

20

25

30

25
Does the table show a proportional relationship? How do you know?

Answers

Answer:it is 50. Degrees

Step-by-step explanation:

High

Temperature

(degrees)

50°

Number of

Water Bottles

Sold

10

20

25

30

25

85°

85

90°

100°

Does the table showa proportional relationship? How do you know?

PLEASE HELP I WILL GIVE BRAINLiST


Write the equation of the circle graphed below.

Answers

Answer:

(x+5)²+(y+5)²=18

Step-by-step explanation:

r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9

=√18

the equation is :

(x+5)²+(y+5)²=18

HELPPPPPP PLEASEEEEEEE

Answers

Ok I’ll bet it will work for me and you

HELP PLZ I LOVE YOU GUY LET GOOOOO

Answers

Answer:

9 no answer 10

10 no answer 630

11 no answer 12.56 ft^3

12 no answer 268.1 km^3

Step-by-step explanation:

Move a number to each box to create an equation to solve 8/100 + 9/10

Answers

Answer: the answer is 0.98.

Step-by-step explanation:

the equation 8/100 + 9/10 = 0.98.

MARK ME BRAINSET

A recipe that serves 4 people uses 3 potatoes. How many potatoes are needed to serve 20 people?

Answers

Answer:

14

Step-by-step explanation:

You need to count by 4´s. So:

4, 8, 12, 16, 20.

3, 6, 9, 12, 14.

I lined them up for you to understand it easier

Which value of x makes this equation true? -12x - 2(x+9) = 5(x+4)

Answers

x = -2

−12x−2(x+9)=5(x+4)

Use the distributive property to multiply −2 by x+9.

−12x−2x−18=5(x+4)

Combine −12x and −2x to get −14x.

−14x−18=5(x+4)

Use the distributive property to multiply 5 by x+4.

−14x−18=5x+20

Subtract 5x from both sides.

−14x−18−5x=20

Combine −14x and −5x to get −19x.

−19x−18=20

Add 18 to both sides.

−19x=20+18

Add 20 and 18 to get 38.

−19x=38

Divide both sides by −19.

x=  

−19

38

 

Divide 38 by −19 to get −2.

x=−2

The required simplified value of x for the given equation is -2/19.

To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

-12x - 2(x + 9) = 5(x + 4)
-12x -2x  - 18 = 5x + 20
-14x - 18 = 5x  + 20
-14x - 5x = 20 - 18
-19x  = 2
x = -2/19

Thus, the required simplified value of x for the given equations is -2/19.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Frozen apple juice comes in a cylindrical can. A can is 12 cm high and has a radius of 3.5 cm. What is the capacity of the can? b. Apple juice expands when it freezes the can is filled to 95 % of its volume. What is the volume of the apple juice in the can.

Answers

Answer:

438.501cm^3

Step-by-step explanation:

Given data

Height of can= 12cm

Radius= 3.5cm

The capacity of the can is expressed as

V= πr^2h

V= 3.14*3.5^2* 12

V= 3.14*12.25*12

V= 461.58cm^3

Hence the capacity is 461.58cm^3

We are also given that the juice amount to 95% of the capacity of the can

95/100*461.58= x

0.95*461.58=x

x=438.501cm^3

This means that the volume of the juice is 438.501cm^3

What is the area in square centimeters of the triangle below?

Answers

Answer:

it's 10 times 7 divided by 2

please explain asap :(

Answers

Answer:

x = 40

Step-by-step explanation:

Both angles are opposites and will therefore have the same measurements.

Set your formula up as

142 = 3x + 22

142 - 22 = 3x

120 = 3x

120/3 = x

40 = x

You can also test this by placing 40 in place of x in your formula to check your work

3 * 40 + 22 = 142



3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla

Answers

Respuesta:

2x - 0.5x = 30

x = 20

Explicación paso a paso:

Llamemos "x" a la incógnita, el número desconocido.

Cuando nos referimos al doble de un número, es lo mismo que 2x.

Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.

Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:

2x - 0.5x = 30

1.5x = 30

x = 30/1.5 = 20

Tom and Sophie travel from home to school and back once a day. How many kilometres more does Sophie travel in 5days than Tom?

Answers

Answer:

1000 m

Step-by-step explanation:

Tom's distance = 400 m

Sophie's distance = 600 m

Hence. Distance per day = 600 - 400 = 200 m per days

In 5 days ;

200 m * 5 = 1000 m

Sophie travels 1000 m more

What is another name for 22?

Answers

You can rule out both EGF and GEF because they are representing another segment of the graph.

The answer should be DGE. If you use DGE to draw a triangle starting from the first letter (D) and then go to E and then G, then E will be in the middle.

I was taught that the middle letter of any sequence of letters is the angle of said sequence because line DG and line GE connect to form it.

A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?

Answers

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

1/2 of 5 for my Khan Academy answer

Answers

Answer:

...

Step-by-step explanation:

The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.

Answers

Answer:

A.) combination

B.) 167,960 ways

C.) 58,344 ways

Step-by-step explanation:

A.)

Choosing 11 players out of 20 available is a cbinationtuon problem simply because the order of choice of the 11 players does not matter on this scenario.

B.)

Here, the coach wants to select her 11 from all available 20:

We apply the combination formula :

nCr ; where ; n = 20 ; selection, r = 11

nCr = n! / (n-r)!r!

20C11 = 20! / 9!11!

20C11 = 167,960

C.)

1 goalie 10 players

1 goalie is selected from the 3 available goalies AND 10 players from the 17 available players :

This gives :

3C1 * 17C10

3C1 = 3

17C10 = 19,448

3C1 * 17C10 = 3 * 19448

= 58,344 ways

no work needed! pythagorean theorem.

Answers

2) x = 4

4) x = sqrt(106) = 10.3

find the gradient of line ab

Answers

Please give more clear explanation for this question so I can help you.

Which of the following graphs corresponds to the following function?

Answers

Answer:

3

Step-by-step explanation:

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