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The distance from the base of the ladder to the house is 15 ft.

The length of the ladder is 39 ft.

The ladder is placed to reach a point on the house 36 feet from the ground.

This situation forms a right angle triangle.

The distance from the base of the ladder to the house is as follows:

The distance from the base of the ladder to the house is the other leg of the right angle triangle.

The ladder length is the hypotenuse of the right triangle.

Hence, using Pythagoras theorem,

39² - 36² = b²

b² = 1521 - 1296

b² = 225

b = √225

b = 15 ft

Therefore, the distance is 15 ft.

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The most appropriate choice for linear equation will be given by-

[tex]l = 28 - 0.5d[/tex] is the required expression for the length of the bike

path left to build at any point during the construction.

[tex]l[/tex] is the  length of the bike path left to build at any point during the construction

[tex]d[/tex] is the number of days

What is Linear equation?

A one degree equation is called a linear equation.

Here,

Let the length of the bike path left to build at any point during the construction be [tex]l[/tex] and the number of days be [tex]d[/tex]

In one day, the crew build 0.5 miles of the path

In d days, the crew can build [tex]0.5 \times d[/tex] miles of the path

Length of path left to construct after [tex]d[/tex] days = [tex]28-0.5d[/tex]

By the problem,

                          [tex]l = 28 - 0.5d[/tex]

This is the required expression for the length of the bike

path left to build at any point during the construction.

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The circumference of a circle with diameter of 42 cm is 131.88 cm

The circumference of a circle of diameter 3.5 cm is 11 cm.

The circumference of a circle of diameter 42 cm can be found as follows:

Therefore,

circumference of a circle = 2πr

where

Hence,

diameter = 42 cm

radius = 42 / 2

radius = 21 cm

circumference of a circle = 2 × 3.14 × 21

circumference of a circle = 42 × 3.14

circumference of a circle = 131.88 cm

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The distance between in two cities is 360 miles.

Given,

It took a plane 2 hours to fly from Dallas to New York

The headwind and 1.5 hours to return with the tailwind.

and, the speed of the wind was 30 mph.

To find the how far apart are the two cities?

Now, According to the question:

Let speed of be x

Speed of wind be c

Also note D = RT, where

D is distance and R is rate and T is time

For First Leg:

we can write:

(x - c) × 2 = D

2x - 2c = D

For Second Leg:

we can write:

(x+ c) × 1.5 = D

1.5x + 1.5c = D

We can equate and write:

2x - 2c = 1.5x + 1.5c

0.5x = 3.5c

We know Speed of Wind, c, is 30, so we have:

0.5x = 3.5(30)

0.5x = 105

x = 105/0.5 = 210 [speed of airplane]

We know distance is

D = 2x - 2c

D = 2(210) - 2(30)

D = 420 - 60

D = 360 miles

Hence, The distance between in two cities is 360 miles.

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The number 3.14 is a rational number because it can be written as [tex]\frac{314}{100}[/tex].

p/q of two integers with q 0 can be used to represent a number as a rational number in mathematics. The set of rational numbers also contains all of the integers, which can each be expressed as a quotient with the integer as the numerator and 1 as the denominator. A rational number is one that can be written as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.

Given that,

3.14 is rational number

Here, 3.14 can be written as [tex]\frac{314}{100}[/tex].

3.14 can be written as fraction, whereas pie cannot be written in fraction form.

Therefore, 3.14 is a rational numbers but pie is not a rational number.

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Answer : These are points on a coordinate plane

Inverse function of expression is [tex]\frac{1}{2}[/tex]x + 2.

An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f1.

In the broadest sense, inverse functions are functions that "reverse" one another. The inverse, f 1 f-1 f1f, start superscript, minus, 1, end superscript, must take b to a, for instance, if f takes a to b.

Given Data

d(x) = 2x -4

Inverse function-

d⁻¹(x)

y = 2x-4

2x = y-4

x = [tex]\frac{y +4}{2}[/tex]

y = [tex]\frac{x+4}{2}[/tex]

y = [tex]\frac{1}{2}[/tex]x + 2

Inverse function of expression is [tex]\frac{1}{2}[/tex]x + 2.

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Answer:

y=(0,-45)

x=(-10,0)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Vol = length x width x height

Vol = 3 x 3 x3

Vol = 27

Answer:

[tex]19:6[/tex]

Step-by-step explanation:

What is a ratio in math?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

So as per the question we have :-

38 empty parking spots

12 full parking spots

the ratio of the number of empty parking spots to the number of full parking spots can be expressed as :

[tex]= 38:12[/tex]

And by simplifying it to the shortest value possible we get it as

[tex]19:6[/tex]

Hope this helped you out and if so please help me out by marking me as the brainliest answer,

a fellow student,

Cheers

Answer:

20 horseshoes

Step-by-step explanation:

How many horseshoes are needed to fit 5 horses?

5 horses with 4 hooves each:

5 × 4 = 20 horseshoes

3 + 6x = 2x + 27

Move the 2x on the left side with changed sign and the 3 on the right side with changed sign aswell.

6x - 2x = 27 - 3

4x = 24

Now devide 24 by 4.

x = 24 : 6 = 4

Answer:

Step-by-step explanation:

[tex]\bf 3 + 6x = 2x + 27[/tex]

Subtract 3 from both sides:-

[tex]\bf 3+6x-3=2x+27-3[/tex]

Simplify:-

[tex]\bf 6x=2x+24[/tex]

Subtract 2x from both sides:-

[tex]\bf 6x-2x=2x+24-2x[/tex]

Simplify:-

[tex]\bf 4x=24[/tex]

Divide both sides by 4:-

[tex]\bf \cfrac{4x}{4}=\cfrac{24}{4}[/tex]

Simplify:-

[tex]\bf x=6[/tex]

_____________________

A clothing store is tracking, adults who are spending on clothes each month from their only store then the adults who buy any clothes consider as population of the store.

So, we cannot consider as population of the store.

So, they are not consider as population of the store.

Therefore,

Adults who buy any clothes consider as population of the store.

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Answer:

5 1/2 or 5.5

Step-by-step explanation:

First, we can convert these values to improper fractions, where the numerator is larger than the denominator.

Then, we'd get:

3/2 x 11/3

Now, we can multiply the numerators and denominators, and we would get the answer of 33/6

When we convert 33/6 to a mixed number, we get 5 3/6, which can then be further simplified to 5 1/2 OR 5.5 (whichever you prefer)

Answer:

5 1/2

Step-by-step explanation:

1 1/2×3 2/3

[tex](2 \times 1 + 1) \times (3 \times 3 + 2) \\ [/tex]

3/2×11/3

33/6

=5 1/2

The numbers that are greater than 59 1/3 are; C: 59 2/3 and D: 179/3

We want to find the numbers that are greater than 59 ¹/₃.

Now, the given fraction is written in mixed fraction. Looking at the fraction side, we can see that 1/3 can be written as 0.333. Thus;

59 ¹/₃ = 59.333

When we talk about the inequality greater than, we are simply referring to sayin that a figure is more than another figure which could be given or not given.

Looking at the given options, let us rewrite each of the mixed or improper fractions in decimal form to get;

59 ²/₁₀ converted to decimal form gives 59.2

59 ⁴/₁₂ = 59 ¹/₃  converted to decimal form gives 59.333

59 ²/₃  converted to decimal form gives 59.667

179/3 = 59 ²/₃  converted to decimal form gives 59.667

Comparing the options to the given number in the question, we can conclude that 59 2/3 and 179/3 are greater than 59 1/3

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Answer:

$610.000

Step-by-step explanation:

The thousands digit is and the hundreds is 7 so we round up the 9.

Answer is $610.000

Answer: y = 4/9 x - 1/3

Step-by-step explanation:

standard form means y = mx + c

so,

4x-8=9y-5

4x-8+5=9y

(4x-3)/9=y

y = (4/9)x - (1/3)

Clare plans to fold up the sides of a poster board that is 30 inches by 25 inches of box. The volume V(x)=4x³-110x²+750x.

Given that,

Clare plans to fold up the sides of a poster board that is 30 inches by 25 inches and trim the corners to create an open-top box. The open-top box's volume, "V(x)," in cubic inches, depends on the square cuts' side length, "x," in inches.

Length =30 inch

Width=25 inch

The box's size changes when x is taken out of the container.

Length=30-2x

Width=25-2x

Height=x

Because x is eliminated from both ends, we subtract 2x.

The volume is then determined as follows:

V(x)=length×width×height

V(x)=(30-2x)×(25-2x)×x

V(x)=(30-2x)×(25x-2x²)

V(x)=750x-110x²+4x³

V(x)=4x³-110x²+750x

Therefore, the volume V(x)=4x³-110x²+750x.

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Answer:

If B is between A and C, then AB = BC.

x + 5 = 2(x - 3)

x + 5 = 2x - 6

x = 11

Answer:

4/10 and 40%

Step-by-step explanation:

He had 4 Strikes out of a total 10 Tries. 4 of his 10 tries were strikes.

So its 4/10.

Answer:

2 and 18

Step-by-step explanation:

2*18 = 36, and 2+18 = 20

Answer:

2 and 18.

Step-by-step explanation:

18 * 2 = 36

18 + 2 = 20

All sides of an equilateral triangle are congruent [equal]

Triangles are categorized into three

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Each cow receives seven pounds of cow chow from Bob. Every time he feeds, farmer Bob uses at least 84 pounds of cow chow, which means that each time he feeds, 12 cows in total.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Cow chow fed to each cow by the farmer =7 pounds

Total cow chow used by the farmer to feed the cows every time = 84 pounds

Total cow chow used = no. of cows *cow chow fed to each cow

No. of cows = Total cow chow / cow chow fed to each cow

                    = 84/7

                    =12

No. of cows = 12

Therefore, 84 pounds of cow chow is used to feed 12 cows each time.

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Answer:

-8

Step-by-step explanation:

6 + 2 = 8,just make 8 negative

Answer:

i go with the first one cause

Step-by-step explanation:

its the only true one

The distance between points  (-6 , 4 ) and (-5 , -4 ) marked in the graph

is [tex]\sqrt{65}[/tex]

From the given graph the two points are:

      A = ( -6 , 4 )    , B = (-5 , -4 )

we have the distance from A to B ,

to find distance the formula is,

Distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

               = [tex]\sqrt{(-5 - (-6))^{2} + (-4 -4)^{2} }[/tex]

               = [tex]\sqrt{1^{2} + (- 8)^{2} }[/tex]

                = [tex]\sqrt{1 + 64}[/tex]

                = [tex]\sqrt{65}[/tex]

so the distance between points (- 6 , 4 ) and ( -5 , -4 ) is [tex]\sqrt{65}[/tex]

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