The table below gives the dimensions of a bridge
and a scale model of the bridge.
Find the scale factor of the model to the real bridge.
Write your answer as a fraction in simplest form.
Model
Bridge
Width (feet)
5
40
Height (feet)
7
56
Length (feet)

64
Help please and please dont play bc its due in 3 min

Answer:

55.5 cm

Step-by-step explanation:

[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{5550}{115+85} \\\\h=2*\frac{5550}{200} \\\\h=2*\frac{111}{4} \\\\h=55.5[/tex]

Answer:

D

Step-by-step explanation:

x^2-12x+36

type into desmos and see where it touches the the line

Answer:

56cm³

Step-by-step explanation:

A triangular prism also known as tetrahedron is a polyhedron. It consists of  of four triangular faces, six edges and four vertexes

Area of a triangular prism = 1/3 x area of base x height

1/3 x 14 x 12 = 56 cm³

Answer:

58

Step-by-step explanation:

To get the average, you add all of the numbers and then divide by the amount of numbers.

51 + 70 + 97 + 63 + 50 + 31 + 59 + 51 +59 + 50 = 581.

581 ÷ 10 = 58.1

Then, rounding 58.1 is 58

150.72

...............

Answer:

[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]

Step-by-step explanation:

Area of Rectangle:

Length = 11.8 in.

Width = 3.6 in.

Area = Length * Width

Area = 11.8 * 3.6

Area = 42.48 in.²

Area of 3 circles:

Diameter = 3.6 in.

Radius = D/2 = 3.6/2 = 1.8 in.

[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]

Area of 3 circles = 3(10.18) = 30.5 in.²

Area of the figure when the 3 circles are cut:

= Area of the rectangle - Area of 3 circles

= 42.28 - 30.5

= 11.74 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Given:

The given expression is

[tex]-4(x+2)-2x+4[/tex]

To find:

The two other equivalent expressions.

Solution:

We have,

[tex]-4(x+2)-2x+4[/tex]

Using distributive property, we get

[tex]=-4(x)-4(2)-2x+4[/tex]

[tex]=-4x-8-2x+4[/tex]

So, one equivalent expression is [tex]-4x-8-2x+4[/tex].

On further simplification, we get

[tex]=(-4x-2x)+(-8+4)[/tex]

[tex]=6x-4[/tex]

Therefore, the second and fully simplified equivalent expression is [tex]6x-4[/tex].

The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

What is counterclockwise ?

Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.

According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:

(x', y') = (-y, x)

where (x, y) is the original point and (x', y') is the new point after the rotation

Plugging in the values from the given point, we get:

(x', y') = (-(-8), -7)

Simplifying this expression, we get:

(x', y') = (8, -7)

Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

To know more about counterclockwise visit:
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Answer:

a) 20ft

Step-by-step explanation:

just multiply the model length and the scale factor

Step-by-step explanation:

with which problem....not visible

Answer:

What is the problem?

Answer:

201.6

Step-by-step explanation:

y varies directly as x

y = kx... "k" is the constant

y = 25, x = 140

25÷140 =k × 140÷140

k = 0.17857

y = 0.17857 × x

when y = 36 what is x

36 = 0.17857 × x

x =36÷0.17857 =201.6

Answer:

a > 14

Step-by-step explanation:

I hope this helps!

The solution to the inequality expression a + 4/2 > 16 is a > 14

The inequality expression is given as:

a + 4/2 > 16

Divide 4 by 2

a + 2 > 16

Subtract 2 from both sides

a > 14

Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14

Read more about inequality at:

https://brainly.com/question/25275758

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Answer:

(-3-1)^2+(0+3)^2=r^2

radius is 5 units

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2

We know values of all variables except r at the moment.

h is the x-coordinate of the center of the circle, and k is the y-coordinate.

x and y are coordinates of a point the circumference touches.

From there, just plug in the numbers and solve!

Answer:

See explanations below

Step-by-step explanation:

The root of a quadratic equation is determined by its discriminant

D = b²-4ac

If D > 0, the roots are real and unique

If D < 0, the roots are complex

If D= 0, the roots are real and equal

a) For the quadratic equation

y=3x^2+7x+8

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 3,  b = 7 and c = 8

Get the discriminant

D = 7²-4(3)(8)

D = 49 - 96

D = -47

Since the discriminant value is less than 0, hence the roots are complex roots

b) For the quadratic equation

y=2x^2-7x-2

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 2,  b = -3 and c = -2

Get the discriminant

D = (-3)²-4(2)(-2)

D = 9 + 16

D = 25

Since the discriminant value is greater than 0, hence the roots are real and unique.

c) For the quadratic equation

y=9x^2+30x+25

Since the highest degree of the equation is 2, hence the equation will have 2 roots

From the equation, a = 9,  b = 30 and c = 25

Get the discriminant

D = 30²-4(9)(25)

D = 900 - 900

D = 0

Since the discriminant value is equal to 0, hence the roots are complex real and equal

Answer: 2/5

Step-by-step explanation:  Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

put 12.4* 20 and you get D

Answer:

Yes of course I love this too

Step-by-step explanation:

Answer:

hahahahah lol..........btw thnks❤️

Answer:

Step-by-step explanation:

Circle A has center (-2, 3)

Circle B has center (2, -2)

Circle A can be mapped to Circle A' by a translation:

Center         Rule of translation   New center

 (x, y)                 (x+4, y-5)

A(-2, 3)           A'(-2+4, 3-5)           A'(2, -2)

Circle A with radius r 1=2

Circle B with radius r 2=3

Scale factor= r 2/r 1 = 3/2 = 1.5

Since any two circles can be translated to have the same center, the dilation r2/r1 proves  the circles are similar where r1 and r2 are the radii of the circles.

The Circle A' and circle B both have center (2, -2). Then circle A' can be mapped to circle B by a dilation with center (2, -2) and a scale factor 3/2=1.5. So circle A and circle B are similar.

Therefore:  Translation right 4, down 5, and then a dilation of 1.5 is true.

                   Translation down 5, right 4, and then a dilation of 1.5 is true.

Answer:irl

Step-by-step explanation:

Answer:

0.125 meters

Step-by-step explanation:

Eloise's aunt cut 9.5 meters of ribbon into 4 equal sections and gave one of those sections to Eloise.

The length of the ribbon given to Eloise

= 9.5 meters/4

= 2.375 meters

Her friend Amelie has 2.5 meters of ribbon.

How much more ribbon does Amelie have than Eloise?

This is calculated as:

Number of meters of ribbon Amelie has - Number of meters if ribbon Eloise has

= 2.5 meter - 2.375 meters

= 0.125 meters

Therefore: Amelie has 0.125 meters of ribbon more than Eloise

Answer: The bird would fly 3 meters in 1 second. Have a good day!!

30 divided by 10 is 3. Therefore, 3 is your answer!

Answer:

I love you 3566267840 and pas 123456

Answer:

D. 1.3

Step-by-step explanation:

5(1.3) = 6.5

Since the value of r is .2 less than b, b would be 1.5

2(1.5) = 3

6.5+3=9.5

The prices which the school would collect $0 revenue are $0 and $ 40 respectively.

Since the revenue R(p) = p(200 - 5p).

The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.

So, p(200 - 5p) = 0

p = 0 or 200 - 5p = 0

p = 0 or 200 = 5p

p = 0 or p = 200/5 = 4

So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.

The two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.

So, p(200 - 5p) = 500

200p - 5p² = 500

Re-arranging, we have

5p² - 200p + 500 = 0

Dividing through by 5, we have

p² - 40p + 100 = 0

Using the quadratic formula, we find the value of p.

So,

[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]

So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

Learn more about revenue here:

https://brainly.com/question/25623677

Answer:

Population: 30.32. Sample: 33.99