A 12 foot fence on the property line casts a 25 foot shadow on the shortest day of the year, and the north side of the house is set back 60 feet from the property line.

Answer:

5 units

Step-by-step explanation:

Distance between two points can be found by using the pythagorean theorem

The distance in y = 4

The distance in x = 3

3² + 4² = c²

9 + 16 = c²

25 = c³

c = √25

c = 5

-Chetan K

Answer:

5

Step-by-step explanation:

[tex]\mathrm{Distance \:\:Formula:}\\\\\mathrm{d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}}[/tex]

[tex]\underline{\mathrm{Plug \:the\: points:}}[/tex]

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

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

[tex]\underline{\mathrm{Solve:}}[/tex]

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

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

[tex]\sqrt{3^2 + 4^2}[/tex]

[tex]3^2 = \sqrt{9+4^2} =\boxed{9}\\\\4^2=\sqrt{9+16} = \boxed{16}[/tex]

[tex]\sqrt{25}[/tex]

[tex]\sqrt{5^2}=5[/tex]

Answer:

pap

Step-by-step explanation:

papi

Answer:

1184 mL (148×8)= 1.184 liters

Answer:

Step-by-step explanation:

System of equations according to given:

Substitute n into first equation and solve for s:

Equations are

EQUATION(2)× 30

[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]

Subtracting (1) and (3)

[tex]\\ \sf\longmapsto 80y=560[/tex]

[tex]\\ \sf\longmapsto y=7[/tex]

Answer:

rational number (might be wrong)

Answer:

-4, 2    (-4,0) (2,0)

Step-by-step explanation:

factoring in binomials

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

The zeros:

[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]

[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]

I hope this help you

Answer:

4/7

Step-by-step explanation:

6 -2/2+5 = 4/7

thats it simple

Answer: 10

Step-by-step explanation:

6-x/x+5

6-(2)/(2)+5

Order of Operations

6-1+5

5+5

10

Answer:

Plz give brainliest

Step-by-step explanation:

I believe

A) 0 - 20,000

B) Interval= 2000 or 3000

Answer:

It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

In an arithmetic sequence, the difference between consecutive terms is always the same.

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

In a geometric sequence, each consecutive term was multiplied by some factor over the last.

[tex]a_n=ax^n^-^1[/tex]

where aₙ is the nth term, n is the index, and x is the scale factor.

In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.

The formula for this sequence would be:

[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]

Answer:

r = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms , that is

r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃

Then

a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]

a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]

a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]

Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]

Answer:

x<4 hope it helps and it's correct

x <4 thats the answer ok

Step-by-step explanation:

angle 5 = supplementary to 89 = 180-89 = 91°

the sum of all angles in a triangle is always 180°.

so,

angle 3 = 180 - 51 - 91 = 38°

angle 2 = complementary to 38 = 90-38 = 52°

therefore,

angle 1 = 180 - 38 - 52 = 90°

Answer:

2(x + 1.7) = 42.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initial value is x, current value is $13600, price reduction by 15%.

Answer:

D

Step-by-step explanation:

yeah-ya........ right?

Answer:

A = 147°

B = 33°

Answer:

Step-by-step explanation:

multiply everything by three to get your answer

Answer:

a = 16

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

If there is no exact middle then the median is the average of the 2 values either side of the middle

a + 1 , 2a - 1 ,  a + 7 ,  3a + 4

                   ↑ middle

Then

[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )

3a + 6 = 54 ( subtract 6 from both sides )

3a = 48 ( divide both sides by 3 )

a = 16

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.

Answer:

8x+16

7x-9

_____

15x+7

Step-by-step explanation:

Add or subtract like terms

Answer:

15x+7

No step I did it

Answer:

1

3/2 or 1 1/2

Step-by-step explanation:

3/11 ÷ 3/11

Copy dot flip

3/11 * 11/3

3/3 * 11/11

1*1

1

9/10 ÷3/5

Copy dot flip

9/10 * 5/3

9/3 * 5/10

3 * 1/2

3/2

Answer:

Scale factor is 1/4

Step-by-step explanation:

You can easily calculate the scale factor of anything by dividing the new length by the old one. Then just simplify if necessary.

TS is 8, and T'S' is 2, so:

[tex]\frac{2}{8}=\frac{1}{4}[/tex]

edit: fixed fraction

Answer:

slop = 2/3

Step-by-step explanation:

slope = rise/run

Start at the lower left point (-2, -1).

We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).

First we go up 4. The rise is 4.

Then we go right 6. The run is 6.

slope = m = rise/run = 4/6 = 2/3

slope = 2/3

Answer:

5.4

Step-by-step explanation:

Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)

Step 2: Divide the length you took from PQRS by the length you took from ABCD.

Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8

Therefore, x = 5.4.

Answer:

5.4

Step-by-step explanation:

Look at photo for explanation

Answer:

Answer:

1.8

Step-by-step explanation:

-2 1/4 x -4/5 = 9/5

= 1 4/5

= 1.8

f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:

1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)

2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)

3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)

4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)

This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.

I hope I've helped! :)

Answer:

f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.

Answer:

ΔY = 10

Step-by-step explanation:

Answer:

use the Microsoft world language to define noun phrases and figure of speech

Answer:

11.25

Step-by-step explanation:

i hope this is right sry if its not tho

Answer:

How many miles is a 45 minute drive? 45 min is 0,75*60 min. During this time you'll drive 0,75*60= 45 miles.

Step-by-step explanation: