B
47°
F
G
A
C
20
J
H Н

Answer:

20 feet

Step-by-step explanation:

The distance between base of the ladder from the base of the building is given by option B) 20 feet.

Use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right-angled triangle,

The square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Length of the ladder = 28 foot

Here, the ladder forms the hypotenuse, and the height of the window (20 feet)

And the distance from the base of the ladder to the base of the building (let's call it x feet) are the other two sides.

So, we have:

Ladder² = Height² + Distance²

28² = 20² + x²

Now, let's solve for x:

x² = 28²- 20²

x² = 784 - 400

x² = 384

Now, take the square root of both sides to find x:

x = √384

x ≈ 19.6 feet

Rounding to the nearest whole foot, the distance from the base of the ladder to the base of the building is 20 feet.

Therefore, the distance between base of the ladder and building is equal to option B) 20 feet.

learn more about distance here

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Answer:

1) 4

2) 40

3) 22

4) 3

5) 9.5

6) 4

7)  14.2

8) 7

9) 12

10) 11

Step-by-step explanation:

1) 14 + 6 = 16

so, 16 - 12 = 4

2) 58 - 18 = 40

3) 30 - 8 = 22

4) 10 + 2= 12

so, 12 - 9 = 3

5) 15 + 3 = 18

so, 18 - 7.5 = 9.5

6) 22 - 8 = 14

so, 14 - 10 = 4

7) 19.6 - 5.4 = 14.2

8) 17 - 9 = 8

so, 8 -2 = 7

9) 54 + 8 = 62

so, 62 - 50 = 12

10) 32 - 16 = 16

so, 16 - 5 = 11

Answer:

1. 4

2. 40

3. 22

4. 21

5. 10.5

6. 4

7. 14.2

8. 6

9. 12

10. 11

Step-by-step explanation:

Subtract the dessert from the total:

52.95 - 2.50 = 50.45

Now divide that by the number of people:

50.45/5 = 10.09

Each person would pay $10.09

She would pay 10.09 + 2.50 = 12.59

Answer:

a2 +b2=c2

Step-by-step explanation:

......

hope it helps

Answer: its a^2+b^2=c^2

Step-by-step explanation:

Answer:

A) To plot equations in point-slope form, pick one and let x = 0, then solve for y (or -4). That gives you point 1 (0,-4). Then let y = 0 and solve for x (or 2/3). That gives you a second point (2/3,0). Plot the two points and draw the line. Repeat for the second equation (points are (0,-3) and (3/5,0)). Where the lines cross is the solution for both equations.

B) point (1,2) fits both equations.

Step-by-step explanation:

Or solve by brute force...

The solution is where the same X,Y point fits both equations, or Y1 = Y2 and X1 = X2. So the equations in point-slope form (already in point-slope form) equal to each other, solve for X and plug that back into either of the equations to find Y.

6X - 4 = 5X -3

X = 1  so

y = 6X - 4

Y = 6 - 4

Y = 2

Answer:

-2.5x-.5

[tex]y=\frac{2}{3}x-1[/tex]

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

[tex]\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5[/tex]

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

[tex]y=\frac{2}{3}x-1[/tex]

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)

9514 1404 393

Answer:

  2 < x < 24.937

Step-by-step explanation:

Conceptually, the values of x are allowed to be between those that make angle ABC one of zero measure and that make angle ABD a straight angle.

That is ...

  0 < 2x-4 < 180 -86

  4 < 2x < 98

  2 < x < 49

__

However, some study of this geometry convinces us that the largest that angle ABC can be is one that makes ∆ABC isosceles. In that case, AB = CB = DB, and B is the center of the circle through points A, C, and D. Trigonometry can be used to find the value of x in that case.

The radius CB of circle B must be such that the bisector of angle CBD intersects the midpoint of CD:

  CB·sin(86°/2) = 14/2

Similarly, the bisector of angle ABC will meet the midpoint of AC:

  CB·sin((2x -4)°/2) = 8/2

Equating expressions for CB gives ...

  7/sin(43°) = 4/sin((x-2)°)

  (x -2)° = arcsin((4/7)sin(43°))

  x° = 2° +arcsin(4/7·sin(43°))

  x ≈ 24.937

So, a revised upper limit on x puts the range of possible values as ...

  2 < x < 24.937

Answer:

Teens who use online shopping sometimes = 6

total number of people who use online shopping sometimes = 20

total percentage of teens using online shopping sometimes = 6/20*100 => 30%

hope it helps

have a nice day

Answer:

output = input - equation

y = x - 7

so 7 is your correct equation!!

Step-by-step explanation:

as u can see

When input x is subtracted from output y, we are getting answer 7

like here

imma gonna tell u how 7 is came

1-8=7

2-9=7

3-10=7

4-11=7

so 7 is our equation

its just a explanation okay

so we get our solution

•°• Y = X - 7

hope it may help you!!

mark as brainlist

Step-by-step explanation:

Giải phương trình: 6sin^2(3x) + cos12x - 14 = 0 - Giải phương trình: ... 4sin^2 (x)-cos2x=2 giải pt ... 0 1 2 3 4 5 6 7 8 9 10.

Answer:

y = 1/4(x + 5)^2

Step-by-step explanation:

Using the given equation form;

(h,k) represents the vertex of the parablola

To get the value of a, we use the given point

So we have;

1 = a(-3 + 5)^2 + 0

1 = a(2)^2

4a = 1

a = 1/4

so we have the equation as;

y = 1/4(x+5)^2 + 0

y = 1/4(x + 5)^2

Answer:

since they are parallel lines therefore the angles hence formed will also be equal

x+5=2x-7

5+7=2x-x

12=x

hence the ans is 12

plz mark it as brainliest

Answer:

12.5

Step-by-step explanation:

Answer:

C. (1, -2)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).

∴ our answer is C.

Answer:

C. (1,-2)

Step-by-step explanation:

with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)

hope this helps! lemme know if you need more

Answer:

4

Step-by-step explanation:

44/11=4

Answer:

j4k4

Step-by-step explanation:

k4k4j4h g o4utf75d4s6e Ok xkyai5eziKyeakyz6ozo6syzyl6

Answer:

11

Step-by-step explanation:

Solution for this problem is in this picture.

Answer:

13

Step-by-step explanation:

-2x + 6 = -20

Step 1 subtract 6 from both sides

6 - 6 cancels out

-20 - 6 = -26

We now have -2x = -26

Step 2 divide both sides by -2

-2x/-2 = x

-26/-2 = 13

We're left with x = 13

Answer:

3/2

Step-by-step explanation:

2y+3x=3

This represents a linear equation and the format for a linear equation is

y = mx+b

m = slope

b= y-intercept

we have to subtract 3x from both sides to make this the y=mx+b form

2y=-3x+3

and divide both sides by 2

y = (-3x+3)/2

3/2 or 1.5 is the y-intercept

the constant of a linear equation (or 3) is the y-intercept, if there is no constant then the y-intercept is 0

Answer:

1.5

Step-by-step explanation:

2y+3x=3

Convert to y=mx+b form...

y=mx+b

y(output)

x(input)

x(slope/growth)

b(y int/starting point)

Steps for converting to y=mx+b form:

-subtract 3x from both sides of equal sign

-divide by 2 on both sides

y = -1.5+1.5

so 1.5 is y int.

:)ur welcome

Answer:

1123.5714 kg C

Step-by-step explanation:

Given :

Miles traveled = 1.3 * 10^4 miles

Miles per gallon = 28 miles per Gallon

Carbon footprint per gallon = 2.42 kg C per gallon

The total gallons of gasoline used over the course of the year :

Total miles traveled / miles per gallon

1.3 * 10^4 / 28 = 464.28571 gallons

Carbon footprint per gallon = 2.42 kg C

Total carbon footprint of transportation :

2.42 kg C per gallon * 464.28571 gallons

= 1123.5714 kg C

Given:

The function is:

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

To find:

The value of [tex]f(-x)[/tex].

Solution:

We have,

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

Substituting [tex]x=-x[/tex] in the given function, we get

[tex]f(-x)=4x^2-2x-4[/tex]

Therefore, the required function is [tex]f(-x)=4x^2-2x-4[/tex].

the required answer is 2m- (m-n)(m-1)

Answer:

88

Step-by-step explanation:

line AC is equal to line DB

Answer:

15 Years or 14.5 Years

Step-by-step explanation:

According to the Question,

Put the Given value in Formula, We get

2000 = 1000 (1 + 0.05/2) ^ 2t

2 = (1+0.025)^2t

2 = (1.025)^2t   ⇔ 1.025^30 = 2.0975 ≈ 2

Thus, 2t = 30 ⇒ t = 15 Years

OR

2 = (1.025)^2t   ⇔ 1.025^29 = 2.0464 ≈ 2

Thus, 2t = 29 ⇒ t = 14.5 Years

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

1 3/4 = 7/4

36/(7/4) = 36 x 4/7 = 20.5 or 20

Answer:

option alphabet c is the answer

Answer:

x = 20

Step-by-step explanation:

The 3 arcs UV, VW, WX form a semicircle, so sum to 180° , that is

4x + 2 + x + 78 = 180

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

x - 3 + 153 = 180

x + 150 = 180 ( subtract 150 from both sides )

x = 30

Answer:

x = 30

Step-by-step explanation:

180° = total

153° = part

180° - 153° = 27°

Then use the equation to find the value of x

(x - 3) = 27

(x + 3) = +3       Add 3 to both sides!

x = 30