Please help me!
The Farmer's Ranch House
9. The farmer's house is shown in the diagram below. He wants to build a screened-in patio on the back of his house.
Use the figure to answer the questions. (6 points)
a The area of the patio is planned to be (x + 10x - 200) square feet. What will the length be?
Patio
Patio
**10) - 0-10)
Original
House
b.
What is the area of the original house in simplest form?
Terigth
c
The farmer decides to extend the width of the patio. The area of the patio with the extension is now (x2 + 12x-160) square feet. By how
many feet will the patio be extended from what you found in part a?

Answer:

You as well!

Step-by-step explanation:

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

Answer:

it's a negative slope

Step-by-step explanation:

**btw; not all slopes with a negative cefficient will look exactly like this, but as log as it has a negative coefficient, it will be negative and look somewhat similar**

Answer:

This is the expression:

4*x+4*9

5a) 3x3x13

b) 3x7x7

c)11x5x2x2

d)3x3x3x5x2

6a)2x2x2x131

7a)5x5x2x2

b) 3x2x17

c)5x2x2x2x2x2x2

d)5x5x5x3

e) 2x2x103

f)5x3x137

g) 2x2x2x2x2x2x2x2x2

h)5x5x7x7x3

Answer:

40

Step-by-step explanation:

A+B+C = 31

Add 3 years to each age

A+3  +B+3  + C+3  = 31 +3+3+3

They will be

A+3  +B+3  + C+3  = 40

Answer:

it will be 40

Step-by-step explanation:

If they are altogether 31 years old now in 3 years we just add 9 thus it is 40

Answer:

Step-by-step explanation:

what is it that you don't understand about how to get this?  

2(4-3x) + 5(2x-3) = 20-5x

Answer:

38

Step-by-step explanation:

If 9 workers can complete a job in 56 minutes, then it takes 36 minutes for 14 workers.

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

Given that amount of time needed to complete a job, t, varies inversely with the number of workers, w.

t=k/w

k is a constant

9 workers can complete a job in 56 minutes

t=56 and w=9

56=k/9

Apply cross multiplication

k=9×56

k=504

We need to find how many minutes would it take for 14 workers.

t=504/14

t=36

Hence, it takes 36 minutes for 14 workers.

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ2

Given:

The table of values for the function f(x).

To find:

The values [tex]f^{-1}(f(3.14))[/tex] and [tex]f(f(-7))[/tex].

Solution:

From the given table, it is clear that the function f(x) is defined as:

[tex]f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}[/tex]

We know that if (a,b) is in the function f(x), then (b,a) must be in the function [tex]f^{-1}(x)[/tex]. So, the inverse function is defined as:

[tex]f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}[/tex]

And,

[tex]f^{-1}(f(a))=f^{1}(b)[/tex]

[tex]f^{-1}(f(a))=a[/tex]              ...(i)

Using (i), we get

[tex]f^{-1}(f(3.14))=3.14[/tex]

Now,

[tex]f(f(-7))=f(-12)[/tex]

[tex]f(f(-7))=5[/tex]

Therefore, the required values are [tex]f^{-1}(f(3.14))=3.14[/tex] and [tex]f(f(-7))=5[/tex].

Answer:

48 days

Step-by-step explanation:

Swim = every 6 days

Run = every 4 days

Cycles = every 16 days

Find the lowest common multiple of 6, 4 and 16

6 = 6, 12, 18, 24, 30, 36, 42, and 48

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

16 = 16, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160

The LCM of 6, 4 and 16 is 48

Therefore,

If she did all 3 activities today, she will do all 3 activities again in the next 48 days

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin(x - y) = sinxcosy - cosxsiny , then

sin(180 - θ)

= sin180cosθ - cos180sinθ

= (0) cosθ - (- 1)sinθ

= 0 + sinθ

= sinθ

Answer:

x - 27

Step-by-step explanation:

Our goal here is to solve for x.

Start by performing the indicated multiplication:

-5(x+4) + -3x + -9x+-7  =>  -5x - 20 - 3x + 9x - 7

Combine like terms:  x - 27

Answer:

[tex]-5(x+4) + -3x + -9x+-7[/tex]

[tex]\longmapsto -5\left(x+4\right)+\left(-3\right)x+\left(-9\right)x+\left(-7\right)[/tex]

[tex]\longmapsto -5\left(x+4\right)-3x-9x-7[/tex]

[tex]\longmapsto -5(x+4)=-5x-20[/tex]

[tex]\longmapsto -5x-20-3x-9x-7[/tex]

[tex]\longmapsto =-17x-27[/tex]

[tex]ANSWER:=-17x-27[/tex]

-------------------------------

hope it helps....

have a great day!!

Given:

The equation of a linear function is:

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

To find:

The y-intercept and slope of the given equation, then draw the graph of the equation.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept

We have,

[tex]y=-\dfrac{2}{3}x-1[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{2}{3}[/tex]

[tex]b=-1[/tex]

Therefore, the y-intercept is -1 and the slope of the line is [tex]-\dfrac{2}{3}[/tex].

It means the graph intersect the y-axis at point (0,-1) and having slope [tex]-\dfrac{2}{3}[/tex]. So, the graph of the equation is shown below.

Answer:

10 quarters and 12 dimes :)

Step-by-step explanation:

Answer:

LK = 38

Step-by-step explanation:

MN is the midsegment, and the midsegment is the average length of the top and bottom, so:

[tex]\frac{18 + LK}{2} =28[/tex]

solve for LK:

[tex]18+LK=56\\\\LK=38[/tex]

Answer:

Step-by-step explanation:

Volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] And using r = 11 and pi = 3 (which is so far off, it's ridiculous):

[tex]V=\frac{4}{3}(3)(11)^3[/tex] which gives us that

V = 5324 in³

Answer:

The volume of this rectangular prism equals [tex]V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Step-by-step explanation:

In order to solve this question, we have to use the formula provided in the question to find out the volume of the rectangular prism. The formula goes as follows...

V = l × w × h   (where "l" is the length, "w" is the width, and "h" is height.

From the question, we know that...

l = 4x

w = 5x

h = [tex]x^{2} + x + 2[/tex]

Now we just have to substitute all of these values into the equation and we get that...

V = l × w × h

V = 4x × 5x × [tex](x^{2} + x +2)[/tex]

[tex]V = (20x^{2})(x^{2} + x + 2)\\V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Therefore, The volume of this rectangular prism equals [tex]V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Answer:

200

Step-by-step explanation:

1/5m-2/3y=30

1/5m-2/3(15)=30

1/5m-30/3=30

1/5m-10=30

1/5m=30+10

1/5m=40

m=40/(1/5)

m=(40/1)(5/1)

m=200/1

m=200

Answer:

The two INTEGERS are :-

-3 and +4

-3 * (+4) gives us -12

-3 + (+4) gives us 1

hope it helps

have a nice day

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3.

Hi there!

[tex]\large\boxed{77m^2}}[/tex]

We can divide the figure into 3 rectangles.

Area of top rectangle:

5 × 5 = 25m²

Long rectangle:

14 × 3 = 42m²

Bottom rectangle:

2 × 5 = 10m²

Add up the areas:

10 + 42 + 25 = 77m²

Answer:

41/30

Step-by-step explanation:

2/3 + 1/5 + 2/4

= 41/30

Answer:

?=83 degrees

Step-by-step explanation:

74+120=194

360-194=166

166÷2=83

You divide by two because it is an inscribed angle, so it will always be half the measure of the arc it is inscribing or enclosing.

Answer:

a.

Step-by-step explanation:

Step-by-step explanation:

w = 34° (alternate interior angles)

x = 34° (vertically opposite angles)

y = 101°

z = 79° (corresponding angles)

Answer:

condition

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).

Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.

Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).

Answer:

B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C

Hi there!

[tex]\large\boxed{73m^2}}[/tex]

Once again, divide the figure into 3 rectangles:

Top rectangle:

3m × 5m = 15m²

Long rectangle (subtract 5m from 9m to get the width):

12m × 4m = 48m²

Bottom rectangle:

2m × 5m = 10m²

Add up areas:

15m² + 48m² + 10m² = 73m²

Answer:

-1/14

Step-by-step explanation:

The given points are

The slope will be the difference of ordinate divided by difference of absicca .

> m = 2-1/-17+3

> m =1/-14

> m = -1/14

Answer:

232

Step-by-step explanation:

===========================================

Explanation:

I recommend drawing out the triangle. See below.

Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.

We're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A

A+B+C = 180

A+22+52 = 180

A+74 = 180

A = 180-74

A = 106

We do this so we can then apply the law of sines

sin(A)/a = sin(B)/b

sin(106)/30 = sin(22)/b

b*sin(106) = 30*sin(22) ....... cross multiplication

b = 30*sin(22)/sin(106)

b = 11.6910908340182 ....... which is approximate

b = 11.7

Make sure your calculator is in degree mode.

Answer:

600045

Step-by-step explanation:

Answer:

Hmm the answer might be 600045

Step-by-step explanation:

So what you do is that you add them up using your calculator or brain.