The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?​

Answers

Answer 1

Answer:

[tex]\boxed{6912 units^2}[/tex]

Step-by-step explanation:

Hey there!

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

[tex]\frac{3}{4}[/tex] = [tex]\frac{5184}{x}[/tex]

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

Hope this helps :)


Related Questions

What is the simplified sum of 3x/x-4 + x-3/2x

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

-1 - 1/2x

▹ Step-by-Step Explanation

3x ÷ x - 4 + x - 3 ÷ 2x

Divide and Rewrite:

3 * 1 - 4 + x - 3 ÷ 2 * x

Calculate:

3 - 4 + x - 3/2x

-1 + x - 3/2x

= -1 - 1/2x

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

[tex]\frac{3x}{x-4}+\frac{x-3}{2x}[/tex]

Make them into common denominators. To do so, multiply by the LCM of the denominators. The LCM of the denominators is (x-4)(2x). Thus, we multiply 2x to the first term and (x-4) to the second:

[tex](\frac{2x}{2x}) \frac{3x}{x-4}+(\frac{x-4}{x-4}) \frac{x-3}{2x}[/tex]

Simplify:

[tex]\frac{6x^2}{2x(x-4)}+\frac{x^2-7x+12}{2x(x-4)} \\=\frac{7x^2-7x+12}{2x(x-4)}[/tex]

And this cannot be simplified further (you can also distribute the denominator if preferred).

One day Shahed was playing with numbers. He wrote 15 fractions using all natural numbers from 1 to 30 exactly once- either as numerator or denominator. How many of these fractions, at most, are integers?

Answers

Answer:

30 i think because he has done numbers from 1 -30, which are all integers except for decimals...

3x - y = 0
2x - y = 1

Answers

Answer: See below

Explanation:
Solve this system of equation using elimination method:

3x - y = 0
2x - y = 1
________
3x - y = 0
-1(2x - y = 1)
_________
3x - y = 0
-2x + y = -1
_________
X = -1

We know that x = -1 now let’s plug it in the one of the equation to find y:

2x - y = 1
2(-1) - y = 1
-2 - y = 1
-y = 3
y = -3

Between which two integers on a number line does -√120 lie on?

Answers

-11 can be written as - root 121 and -10 can be written as -100. Since 100 < 120 < 121, it lies between -11 and -10.

Answer:

-11 and -10

Step-by-step explanation:

● -√120 = -1 × √120

● -√120 = -1 × 2√30

● 30 is close to 25 so √30 is close to five but greater than it.

Multiplying 5 by -2 gives -10

Multipluing √30 by -2 gives you a number that is close to -10 but smaller than it.

So -√120 lies between -11 and -10

Please answer now question

Answers

Answer:

              1664 yd²

Step-by-step explanation:

P = 2•(¹/₂•24•16) + 2•(20•20) + 24•20 = 384 + 800 + 480 = 1664 yd²

Winnie is 10 years younger than her boss Greg. In 8 years, Winnie will be half as old as Greg will be then. How old is Greg now?

Answers

Answer:

  12

Step-by-step explanation:

In 8 years, the difference in their ages will still be 10 years. If Winnie is half as old as Greg then, Greg will be 20 in 8 years (and Winnie will be 10).

Greg is 12 years old now.

___

Winnie is 2 years old now.

Compute the value of each expression: −4|−3−3|

Answers

Answer:-24

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

−4|−3−3|

First find the value inside the absolute value

−4|-6|

Absolute value means take the non-negative value

-4 * 6

Multiply

-24

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5? ​

Answers

Answer: y = -3x -7   or    3x + y = -7  

Step-by-step explanation:

For two lines to be the same, they need to have the same slopes but different y-intercepts. First convert the equation 3x+y =5 into slope intercept form.

3x + y = 5  subtract 3x from both sides

-3x          -3x

 y = -3x +  5   in this case we know that the slope is -3 and the y-intercept is 5.

Now since they will have the same slope input the x and y coordinates and find the equation that will be parallel to it.

-4 = -3(-1) + b

-4 = 3 +b  

-3     -3

b=  -7  

Since the y intercept is -7 the equation will be  y = -3x -7   or   3x + y = -7

Equation of the line through (-1,-4) and parallel to the line 3x + y = 5 is

3x + y + 7 = 0

What is slope intercept form?

The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as:

y = mx + b.

Given, equation of line

3x + y = 5

y = -3x + 5

Comparing to y = mx+c

slope m = -3

slope of parallel lines are equal

∴ slope m' of the line which passes through (-1,-4)  is -3

Equation of the line

y-(-4) = m'(x - (-1))

y + 4 = -3x - 3

y = -3x - 7

3x + y + 7 = 0

Hence, 3x + y + 7 = 0 is the equation of the line passing through (-1,-4)  and parallel to 3x + y = 5.

Learn more about slope intercept form here:

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A machine fills 680 bottles in 5hours how many bottles will it fill in three hours?

Answers

Answer:

408 bottles

Step-by-step explanation:

the machine can fill 136 bottles in 1 hour, 136×3=408

Answer:

408

Step-by-step explanation:

680 bottles in 5 hours

in three hours:

1 hour =680/5=136

in three hours:it will be 136*3=408

how do you work out 28.4 x 1.92

Answers

Answer:

54.528

Step-by-step explanation:

How to do this question plz answer me step by step plzz ​

Answers

Answer:

  4 cm

Step-by-step explanation:

At 12 cm depth, the depth is 12/15 = 4/5 of the height of the container.

When the container is tipped on its side, so its height is 5 cm, the depth will still be 4/5 of the height.

  (4/5)(5 cm) = 4 cm

The depth will be 4 cm.

Find the area of the shaded region . RQ= 71.5 inches and PO=93.4 inches . Use 3.14 as necessary

Answers

Answer:

25,886.01 in²

Step-by-step explanation:

The area of shaded region = Area of the outter circle (the larger circle) - area of the inner circle (the smaller circle)

Area of a circle = πr²

Radius of larger circle = PO = 93.4 in

Area of the larger circle = 3.14*93.4² = 27,391.98 in²

Radius of smaller circle = PO - RQ = 93.4 - 71.5 = 21.9

Area of smaller circle = 3.14*21.9² = 1,505.97 in²

Area of shaded region = 27,391.98 - 1,505.97 = 25,886.01 in²

Factorise using suitable identities (0.1x-0.2y)^2 plzzz help!!!!!

Answers

Answer:

0.1  exponent2  ( x − 2 y )  exponent 2

Step-by-step explanation:

2. Which of the following number is divisible by 6?
O. A. 672
O B. 813
O C. 7312
O D. 1234​

Answers

Answer:

A - 672

Step-by-step explanation:

Any number divisible by both 3 and 2 is divisible by 6.

BRAINLIEST, 5 STARS AND THANKS IF ANSWERED CORRECTLY.

How many real solutions does the equation 2p^2 + 9p - 7 = 0 have?

A. 0
B. 1
C. 2
D. 3

Answers

Answer:

C

Step-by-step explanation:

Determine the nature of the solutions using the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct solutions

• If b² - 4ac = 0 then 2 real and equal solutions

• If b² - 4ac < 0 then no real solutions\

Given

2p² + 9p - 7

with a = 2, b = 9, c = - 7 , then

b² - 4ac = 9² - (4 × 2 × - 7) = 81 +56 = 137

Since b² - 4ac > 0 then there are 2 real solutions → C

Answer:

C. 2

Step-by-step explanation:

2p² + 9p - 7 = 0

p = {-9±√((9²)-(4*2*-7))} / (2*2)

p = {-9±√(81+56)} / 4

p = {-9±√137} / 4

p = {-9±11.7} / 4

p₁ = {-9-11.7} / 4 = -20.7/4 = -4.55   aprox.

p₂ = {-9+11.7} / 4 = 2.7/4 = 0.67     aprox.

This equation have 2 real solutions:

-4.55   aprox.

0.67      aprox.

Enter a counterexample for the conclusion. If x is a prime number, then x + 1 is not a prime number. A counterexample is x = .

Answers

you can say x=2

2 is prime and 3 is also prime

Answer:

x = 2

Step-by-step explanation:

If x is a prime number, then x + 1 is not a prime number.

A counterexample is x = 2.

x = 2

2 is prime

x + 1 = 2 + 1 = 3

3 is also prime

A recipe needs two and one sixth cups of walnuts and eight and one eighth cups of peanuts. How many cups of nuts are needed for the recipe in all? please answer!!!

Answers

Answer:

10 and seven twenty-fourths (10 7/24)

Step-by-step explanation:

2 1/6 + 8 1/8 =

2 4/24 + 8 3/24 =

10 7/24

Determine the equation of the perpendicular bisector of the line segment with endpoints A(-1, 4) and B(7, -2)

Answers

Answer:

y = 4/3x - 3

Step-by-step explanation:

slope = (-2 - 4)/(7 - -1) = -6/8 = -3/4

perpendicular slope  = 4/3

midpoint (-1 + 7)/2, (4 + -2)/2

(3, 1)

y = mx + b

1 = 4/3(3) + b

1 = 4 + b

-3 = b

y = 4/3x - 3

100 2/3 as a decimal

Answers

Answer:

100.66 is the decimal.

Step-by-step explanation:

100⅔ = 302/3

302 ÷ 3 = 100.66 to infinity.

A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. Could you use lines and text to draw and label a diagram that represents this situation?

Answers

Greetings from Brasil...

Its attached the diagram of the situation.....

The ground is 8 feet from the bottom edge of the window

How far up from the ground is the bottom edge of the window?

We start by representing the building, the ladder and the ground in a sketch.

See attachment for diagram

From the diagram, the distance (d) from ground to the bottom edge of the window is calculated using Pythagoras theorem:

10^2 = d^2 + 6^2

Evaluate the squares

100 = d^2 + 36

Evaluate the like terms

d^2 = 64

Take the square root of both sides

d = 8

Hence, the ground is 8 feet from the bottom edge of the window

Read more about Pythagoras theorem at:

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how many are 6 raised to 3 ???​

Answers

Answer:

216

Step-by-step explanation:

When you say "6 raised to 3", it means you multiply 6, 3 times. Meaning:

6✖️6✖️6=216

Hope this helped!

Have a nice day:)

What is the answer!!

Answers

Answer:

∠ G = 121°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 3x + 25 + x - 5 = 180 , that is

5x + 20 = 180 ( subtract 20 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

Thus

∠ G = 3x + 25 = 3(32) + 25 = 96 + 25 = 121°

Answer:

121

Step-by-step explanation:

An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?

Answers

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Answer:

Step-by-step explanation:

Octagonal pyramid has 8 sloping faces and the base.

Total 9 faces.

Also 8 slope edges and 8  base edges

Total 16 edges.

It has 1 + 8

Total 9 vertices.

A Triangular prism has 5 faces and  9 edges.

Also 6 vertices.

Triangular pyramid has  4 faces, 4 vertices and 6 edges.

Note: The relation betseem faces, vertices and sdges in a polyhedron is given by Euler's formula:

T + V - E = 2

So we see, for an octagonal pyramid:

9 + 9 - 16 = 2.

Please help.. I'm really stuck

Answers

Answer:

C. C only

Step-by-step explanation:

Well to determine if the given graphs are functions we need to do the vertical line test to all the graphs,

A. This fails the vertical line test because the vertical line could pass through 2 points on the lines.

B. this also fails because a vertical line could pass through 2 points.

C. This passes because the vertical line doesn’t touch 2 points.

Help need work shown ASAP

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

From the table attached,

x          y            Difference [tex][d=(y_2-y_1)][/tex]

-1         -1                   -

0          1              1 - (-1) = 2

1           3             3 - 1 = 2    

2          5             5 - 3 = 2

Since,there is a common difference 'd' = 2

Therefore, this table represents a linear equation.

Let the equation is,

y = mx + b

where 'm' is the slope and 'b' is the y-intercept.

Two points lying on the linear equation are (-1, -1) and (0, 1)

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{1+1}{0+1}[/tex]

m = 2

And y-intercept 'b' = 1 unit

Therefore, equation of the line will be,

y = 2x + 1

I REALLY NEED HELP ASAP WITH THESE 3 QUESTIONS!!!!!!!!!

Answers

5. Some
None
Some
None
None

6. Y= -x-14.50

7. x<11, in words x is less than eleven.it has infinite solutions.

8.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

I believe the answer is 39.368, if we round that it makes it, 39.4

Step-by-step explanation:

The temperature dropped 15 degrees in an hour. If the starting temperature was 10 degrees, what was the final temperature?

Answers

Answer: If we're talking about the final temperature in 1 hour, then the final temperature would be -5 degrees. 10-15= -5.

Using the subtraction approach, the projected end temperature will be -5.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the application of those symbols.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

In an hour, the temperature plummeted by 15 degrees. assuming that the initial temperature was 10 °.

Then the final temperature is given by subtracting the numbers 10 and 15.

Using the subtraction approach, the projected end temperature will be -5.

More about the Algebra link is given below.

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If the function 5x + y = 1 has the domain {-2, 1, 6}, then what is the corresponding range?

Answers

Answer:

{ 11, -4, -29}

Step-by-step explanation:

5(-2) + y = 1

-10 + y = 1

y = 11

5(1) + y = 1

y = -4

5(6) + y = 1

30 + y = 1

y = -29

Answer:

The Range is the set: { -29, -4, 11 }

Step-by-step explanation:

You need to apply the given function to the x-values of the Domain, to find what values of the Range they are associated with. So let's start by isolating y on one side of the expression:

y = 1 - 5 x

Now let's find what values they result when x = -2, 1, and 6:

y = 1 - 5 (-2) = 1 + 10 = 11

y = 1 - 5 (1) = 1 - 5 = -4

y = 1 - 5 (6) = 1 - 30 = -29

Therefore the Range is the set: { -29, -4, 11 }

0. A submarine was at sea level and
then dove 752 ft. It then rose at a rate
of 12 ft. per minute. What was the
depth of the submarine after 8
minutes?
Also idk the equation so if u could help me out with that id be grateful

Answers

Answer: depth is 656 feet

One equation you can use is y = -12x+752 and you plug in x = 8 to find y.

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

Explanation:

x = number of minutes

y = depth of the submarine

Being at sea level means the depth is y = 0. Diving 752 ft below sea level means the depth is y = 752. It's tempting to make this negative since we're below sea level, but depth values are always positive. They are simply distances you are from the surface of the water. Negative distances are never possible. So this concept might be a bit tricky to get used to.

Possibly equally confusing is the fact that the "12 ft per minute" means the slope is -12. This is because the depth is getting smaller as the submarine gets closer to the surface (aka the sub is rising).

The equation is y = -12x+752. The equation is in the form y = mx+b with m = -12 as the slope and b = 752 as the y intercept. Note how the y intercept is the starting depth value.

From here, we plug in x = 8 to find where the sub is

y = -12x+752

y = -12*8+752

y = -96+752

y = 656

The submarine's depth after eight minutes is 656 feet

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

An alternative equation to use is

y = 12x-752

which is very similar to the other one used earlier. All I did was flip the sign of each term. Now y represents the height of the sub. Negative y values indicate we're below the surface of the water. The slope being positive means the submarine is going upward. The negative y intercept indicates we're starting 752 feet below sea level. Plugging in x = 8 will lead to y = -656, which you'll need to make positive (since all depth values are positive).

As you can probably guess, the change from y = -12x+752 and y = 12x-752 is simply multiplying the right hand side by -1, which explains why the signs flip (and explains how the y value sign flips as well)

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