If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.

Answer:

40.5°

Step-by-step explanation:

So this problem is a ratio setup. First, you have to calculate the total circumference of the circle using the following formula:

c = 2πr

Where c is the circumference, and r is the radius of the circle. Therefore:

c = 2π(40)

Simplify:

c = 80π

Now if the arc is 9π miles long, then it's a fraction of the whole circle, which is 360° . We can set this up as follows:

[tex]\frac{9\pi }{80\pi }[/tex] = [tex]\frac{x}{360}[/tex]

Now if we cross-multiply to solve for x:

(9)(π)(360) = (80)(π)(x)

When simplified dividing by 10π :

9*36 = 8x

Simplfy.

324 = 8x

Solve for x.

x = 40.5

Answer:

the scale factor is 1/2 you are right and that is credible as the larger cd is 20 and smaller bc 10 which make out that it is half of the other Quad and the marking on the edge makes clear us that it is equal whatever the drawing is.

Step-by-step explanation:

BC=2CD

10x=20

x=10/20

x=1/2

if u want to find the other angle then it is 2 times of the smaller quad that will be:

AG=FE

15=2(15)=30

AB=ED

9=2(9)=18

GC=FC

13=2(13)=26

Answer:

61

Step-by-step explanation:

because they already have 61 dollars

Answer:

Step-by-step explanation:

[tex]\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }[/tex]

[tex]\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}[/tex]

[tex]-6(\sqrt{2} + \sqrt{3} )[/tex]

The fraction after rationalizing the denominator is given by the equation

A = -6 ( √2 + √3 )

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the value of A is

A = 6 / ( √2 - √ 3 )   be equation (1)

Now , on simplifying the equation , we get

To rationalize the denominator of the fraction ,

Multiply the denominator by its conjugate ,

So , the conjugate of ( √2 - √ 3 ) = ( √2 + √ 3 )

Multiplying the numerator and denominator of the fraction by ( √2 + √ 3 )

A x ( √2 + √ 3 ) / ( √2 + √ 3 )

Substituting the values in the equation , we get

[ 6 / ( √2 - √ 3 ) ] x ( √2 + √ 3 ) / ( √2 + √ 3 )

On simplifying the equation , we get

6 ( √2 + √ 3 ) / ( 2² - 3² )

So , the value of A is A = 6 ( √2 + √ 3 ) / ( -1 )

A = -6 ( √2 + √ 3 )

Therefore , the value of A is A = -6 ( √2 + √ 3 )

Hence , the equation A = -6 ( √2 + √ 3 )

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Answer:

x=12 Proportion should be 1 2/3

Step-by-step explanation:

To find PT, subtract 26 from 65= 39

26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3

30/(4x-3)=2/3 (Cross Multiply)

30*3=90

2(4x-3)=8x-6

8x-6=90 (Add 6 to both sides)

8x=96 (Divide 8 from both sides)

x=12

QT is equal to 4(12)-3=45

RT is 75

Proportion: 65/39=1 2/3

75/45=1 2/3

Answer:

you would use 1.5 cups of flour

Answer:

The miles travelled is the independent variable.

The cost is the dependent variable.

Step-by-step explanation:

hope this helps ;)

Answer:

4 hours

Step-by-step explanation:

220/ 55 = 4

Let the time = x

Distance = Speed x time

One train is 75x, the other train 85x

Add together to equal total distance:

75x + 85x = 384

Simplify:

160x = 384

Divide both sides by 160:

x = 384 / 160

x = 2.4 hours

Step-by-step explanation:

diameter=20/2,radius=10

circumference of circle=2×pi×radius

circumference of circle=2×3.14×10

circumference of circle=62.8

Answer:

5.25 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

The solution of number 7! is,

⇒ 5,040

We have to given that,

To simplify 7! and find its value.

Now, by definition of factorial or a number, we get;

⇒ 7!

⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1

Multiply it,

⇒ 5,040

Therefore, The solution of number 7! is,

⇒ 5,040

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Answer:

Two Eighths

Step-by-step explanation:

One eighth is one part of eight equal sections. Two eighths is one quarter

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)

The correct answer is C. Foci.

A hyperbola is defined as the flat open curve resulting from the intersection of a right circular cone from a plane not parallel to any of its origins. The line joining the foci of the hyperbola is called the base line.

The perpendicular to the middle of the baseline is called the center line. It becomes apparent that all points of the center line are equidistant from the foci.

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Answer:

1.5%

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

first one answer is 4 second one answer is 0

Answer:

8.9

Step-by-step explanation:

Distance Equation Solution:

d=(7−3)2+(6−(−2))2−−−−−−−−−−−−−−−−−−√

d=(4)2+(8)2−−−−−−−−−√

d=16+64−−−−−−√

d=8–√0

d=8.9

Hope this helps you!

32 I think is the anwser

Answer:

Y = 3x -7 is your answer hope I helped

Step-by-step explanation:

Answer:

k=2/3

Step-by-step explanation:

As said, this table shows direct variation. The equation is y=kx.

we can solve the equation to isolate the variable to see what the equation is to find k.

divide by x on both sides

y/x=k

that means that k is y/x

so we can divide 2/3 for example. Or 4/6 and see it simplifies to 2/3. You can do this for the other numbers to see that they are all equal to 2/3

That means that k is 2/3

Hope this helps!

Answer:

3748096

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3(x-2)+2x=3x+2x-6=5x-6

Precipitation:

Precipitation is condensed water vapor that falls back to earth.

Examples: Rain, Snow, Hail, Sleet

Evaporation:

The process of a liquid changing into gas due to an increase of tempurature or pressure.

Transpiration:

Plants absorb water through their roots and then give off water vapor through their leaves.

Accumulation:

Water collects in rivers, lakes, oceans, and other bodies of water or as ice caps or glaciers.

Infiltration:

Water soaks into the soil (not sure abt this one) from the ground level and moves into rocks through cracks and pores.

Surface run off:

Precipitation that reaches the Earths surface, flows over land, and reaches lakes, rivers, and oceans

Condensation:

The process of a gas changing into a liquid due to a decrease in temperature or pressure.

Sublimation:

The process of snow and ice changing into water vapor without first melting into water

Answer:

64 square units

Step-by-step explanation:

8+8+8+8+16+16

Answer:

30/64

Step-by-step explanation:

5b=30

32a=8

8^2=64

=30/64

Answer:

-9y + 19

Hope that helps.

Answer:

70%

Step-by-step explanation:

100% - 30% = 70%