Simplify the following expression

Let's start with sectioning off the little squares on the left that are jutting out of the top and bottom. Both of the squares are C*E, so multiply C*E twice to get the area of those little squares. That comes out to 12 feet.

Next is the main quadrilateral, the big one. You have to cut it off at the point the triangle starts to slope, so the end fo B.

But you also have to get the left part, so you have to add the length of C to the length of B to get the length of the quadrilateral. A encompasses the entire height, but not the part we want, because we already isolated those little squares. To get the height, just subtract the two E parts. The height is 6. The length is 8 feet. Multiply and get 48.

Add that to the previous 12 feet calculated to get 60.

Next, the triangle. The height is A, but only with one E. So subract the other E to get a height of 9. The length is D, but you have to subract B because that is part of the earlier quadrilateral. That makes it 9.

The formula for a triangle is height * length / 2. So, plug in the numbers-- 9 * 9 / 2

81/2

40.5.

Add to the previous 60 we got and that makes 100.5 square feet.

Hope this helped!

Answer:

95 ft 10 in

Step-by-step explanation:

We need to add the lengths of the front of the house and both sides of the house:

50 ft 8 in + 2(22ft + 9in)

= 50ft + 8 in + 44ft + 18in

= 94ft + 22in

12 inches = 1 foot

22 inches = 1 ft 10 in

Therefore, the length of the gutter he must buy must be:

94 ft + 1 ft + 10 in

= 95 ft 10 in

Answer:

h = 9

Step-by-step explanation:

You can use the Pythagorean theorem to solve this.  Consider each half of the main triangle their own triangles.  

h = a

a^2 + b^2 = c^2

or

a^2 = c^2 - b^2

a^2 = 10^2 - 5^2

a^2 = 100 - 25

a^2 = 75

a = √75

a = 8.66, or 9

h = 9 (when rounded)

Answer:

Step-by-step explanation:

The question is incomplete. find the complete question below;

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

The equation of a line is represented as y = mx+c where m is the slope and c is the intercept. our ficus is to get both the slope and the intercept and then substitute then into the equation of the line.

First let us get the slope of the known line:

Rewriting the equation 2x + 12y = −1 in its standard form, we have;

12y = -2x-1

y = -1/6 x - 1/12

the slope of the line is -1/6

Since this line is perpendicular to the unknown line, the slope of the unknown line say M = -1/(-1/6) = 6

For the intercept

we will substitute the point (0,9) and the slope M = 6 into the equation

y = Mx+c to get the value of the intercept.

9 = 6(0)+c

c = 9

Finally, we will find the equation of the line perpendicular to the given line using the equation y = mx+c

Substituting m = 6 and c = 9 into the equation, we have y = 6x+9 or y-6x = 9

The unknown equation in slope intercept form is y=6x+9

The new equation of the perpendicular line is y = 6x + 9.

The slope of the line is determined from the given equation of the line.

[tex]2x + 12 y = -1\\\\12y = -1 - 2x\\\\y = \frac{-1}{12} - \frac{2x}{12} \\\\y = \frac{-1}{12} - \frac{x}{6}\\\\M = \frac{-1}{6}[/tex]

[tex]M_1 = \frac{-1}{M} = \frac{-1}{-1/6} = 6[/tex]

[tex]y = mx + c\\\\9 = 6(0) + c\\\\9 = c\\\\y = 6x + 9[/tex]

The complete question is below:

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

Learn more about equation of line here: https://brainly.com/question/13763238

Answer:

60

Step-by-step explanation:

At the time of launch, x will be 0 because the object hasn't been thrown yet. Therefore, its height will be 60.

Answer:

The answer for it is 60.

Step-by-step explanation:  

5*0+20*0+60

And due to the simplification by keeping the value 0 in place of x. So if any term is multiplied with 0 the value of that term will be 0. So by adding 0+0+60 . Therefore , the height will be 60 .

More explanation:

At the time of launch, x will be 0 because the object have not  been thrown yet.So its height will be 60.

Answer:

Volume: 105 cubic centimeters

Mass of doorstop: 924 grams

Step-by-step explanation:

First, you need to find the area of the triangular base of the prism. The area of the triangle is bh/2=10*6/2=30 square centimeters. Multiplying this by the height of the doorstop of 3.5, you get a total volume of 105 cubic centimeters. Since each cubic centimeter weighs 8.8 grams, the whole thing weighs 105*8.8=924 grams. Hope this helps!

Answer:

volume 105 cm³

mass 924 g

Step-by-step explanation:

This is triangular prism so (Volume) V = (Area of base) B * (Height) H

In this case is triangle is the base shape with base b =10cm and height h= 6cm so

B =1/2 bh = 1/2 *10*6 =30 cm²

(Height) H = 3.5 cm

so V = 30*3.5 = 105 cm³

1 cm³ has a mass ≈ 8.8g

so the mass of the doorstop is volume * mass per cm³

105 * 8.8 = 924 g

Answer:

168

Step-by-step explanation:

28% = 28/100

28/100 * 600 = 168

Answer:

15/9

Step-by-step explanation:

let the recurring decimal be (n)

we need to find a number that will subtract the number to remove the decimal

the nearest number is 16.666...

because the decimal has moved one step ahead, we will call the new number (10n)

16.666 - 1.666 = 15.

10n - n = 9n.

=15/9

Answer:

80 & 105

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3(3/6) + 4(3/5)

-3(1/2) + 4(3/5)

-3/2 + 12/5

-15/10 + 24/10

9/10

Answer:

Fair

Step-by-step explanation:

Based on the description provided in the question it is safe to say that the survey that Paula conducted is completely Fair. This is mainly due to the fact that her pool of participants are completely random. Paula does not control who will walk through the schools doors first. Therefore she cannot be biased since she is surveying whoever walks through the doors first regardless of her personal opinions or feelings.

Answer:

Step-by-step explanation:

x-6)3x²-24x+35 (3x-6

     3x²-18x

   -      +

  __________

          -6x+35

         -6x +36

        +     -

       ________

              - 1

      _________

quotient=3x-6

remainder=-1

Answer:

60cm^2

Step-by-step explanation:

15 times 8 = 120

divided by 2  = 60

Answer:

60

Step-by-step explanation:

8x15=120

120/2=60

Answer:

This guy is a fooooool the real answer is

Step-by-step explanation:

x=8 and y=−1

so : (8,-1)

From the system of equation 2x + 4y = 12 and  y equals StartFraction one-fourth EndFraction x minus 3. The solution to the system of equations in terms of (x, y) is equal to ( (8, -1)

The system of equations is given as:

2x + 4y = 12        -------  (1)

[tex]\mathbf{y = \dfrac{1}{4}x - 3} \ \ \ ----(2)[/tex]

So, from equation (1), we will replace the value of y which is [tex]\mathbf{ \dfrac{1}{4}x - 3} }[/tex] in order to be able to solve for x.

i.e.

[tex]\mathbf{2x + 4\Big ( \dfrac{1}{4}x -3 \Big) = 12 }[/tex]

Open brackets

2x + x -12  = 12

3x - 12 = 12

3x = 12 + 12

3x = 24

x = 24/3

x = 8

Now, we will replace the value of x into equation (2) to be able to solve for y.

[tex]\mathbf{y = \dfrac{1}{4}(8) - 3} }[/tex]

y = 2 -3

y = -1

Therefore, the solution to the system of equations in terms of (x, y) is equal to ( (8, -1)

Learn more about the system of equations here:

https://brainly.com/question/12895249?referrer=searchResults

Answer:Sorry but I know only this much...

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Answer:

192π^3

Step-by-step explanation:

the formula for calculating volume of a cylinder is πr^2h (r : radius, h : height)

π×4^2×12 = 192π^3

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Multiply the values

2 x 7 = 14

He would drink 14 litres of water in a week

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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Answer:

145.8

Step-by-step explanation:

200 times .9 times .9 times .9

Because it is 3 years

Answer:

$266.20

Step-by-step explanation:

o=200

r=.1

t=3

w=200(1+.1)^3

w=200(1.331)=266.2

Answer:

A y = -3/4x + 6

Step-by-step explanation:

We know that the plot decreases from left  to right so the slope is negative

That eliminates choices B and D

We also know that the y intercept is between 5 and 8  

That eliminates choice C

Answer:

Step-by-step explanation:

(7x³-8x-5)+(3x³+7x+1) =7x³ - 8x - 5 + 3x³ + 7x + 1

Combine the like terms

      = 7x³ + 3x³ - 8x + 7x - 5 + 1

Now, add/ subtract the like terms

     = 10x³ - x - 4

Answer:

[tex]10x^{3} -x-4[/tex]

Step-by-step explanation:

[tex](7x^3-8x-5)+(3x^3+7x+1)[/tex]

[tex]7x^3+-8x+-5+3x^3+7x+1[/tex]

[tex](7x^{3} +3x^{3} )+(-8x+7x)+(-5+1)[/tex]

[tex]10x^{3} -x+-4[/tex]

Answer:

80 (I think)

Step-by-step explanation:

I would just go to x=7 and look up until i reach the line of best fit. The intersection is at y=80

The score of student is 80 marks if she studied for 7 hours.

Given,

The scatter plot shows the time spent studying compared to test scores for Mr. Stone’s eighth-grade class. From the plot it is clear that time is shown on x  axis and test scores is shown on Y axis.

We have to predict the score that a student would earn if he studied for 7 hours.

Here look at the Scatter plot we find that 7 hours is on x axis and the respective line of best fit of test score is passing through score 80.

Hence if a student is studied for 7 hours he would earn 80 marks.

For more details on scatter plot follow the link below:

https://brainly.com/question/2659237

Answer:

A: (0,5)

F(10,0)

Step-by-step explanation:

Y=5-1/2x

Substitute the point into the equation and see if it is true

A: (0,5)

5 = 5 - 1/2(0)  

5=5  true   on the line

B (0,10)

10 = 5 - 1/2(0)  

10=5  false    not on the line

C(1,2)

2 = 5 - 1/2(1)  

2=4 1/2  false    not on the line

D(1,4)

4 = 5 - 1/2(1)  

4=4 1/2  false    not on the line

E(5,0)

0 = 5 - 1/2(5)  

0=2 1/2  false    not on the line

F(10,0)

0 = 5 - 1/2(10)  

0=5-5  true     on the line

Answer:

9 diagonals

Step-by-step explanation:

Number of Diagonals = n(n-3)/2

For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

Answer:  

9 diagonals  

Bit by bit clarification:  

Number of Diagonals = n(n-3)/2  

For instance, in a hexagon, the complete sides are 6.

Along these lines, the complete diagonals will be 6(6-3)/2 = 9.

Answer:

1900 ≥50 + .40 * b

1900 ≥50 + .40 *4100

Step-by-step explanation:

Cost = rush fee + cost per brochure * number of brochures

 cost= 50 + .40 * b where b is the number of brochures

This must be less than or equal to 1900 dollars

1900 ≥50 + .40 * b

We are getting 4100 brochures

1900 ≥50 + .40 *4100

1900≥50 + 1640

1900 ≥1690

We can get the brochures

Answer:

1/8 = 12.5%

Step-by-step explanation:

There are 8 letters in the word MONASTIC.  One of the letters is A.

So the probability is 1/8, or 12.5%.

Answer:

option c is the correct.

Step-by-step explanation:

[tex]\frac{2x^4*6x^2}{3x^2}[/tex]

by using the laws of exponent

a^m×a^n=a^m+n

12x^4+2/3x²

[tex]\frac{12x^4}{3x^3}[/tex]

4x^4-3

4x³

Answer:

4x^3

Step-by-step explanation:

In the numerator, (top part) we have 2x^4 times 6x^2

2 times 6 is 12, and x^4 times x^2 is x^6.

Thus, in the top part, we have 12 times x^6.

In the bottom part we have 3 times x^3.

This is exactly the answer for d, but this is not a simplified answer.

Dividing 12 by 3 we have 4, and x^6/x^3 gives us x^(6-3) which is x^3.

Therefore, we have the correct answer: 4x^3

x = number of people went to movies

equation

6.25x + 12 = 30.75

6.25x = 30.75 - 12

6.25x = 18.75

      x = 18.75 / 6.25

      x = 3

answer

3 people

Answer:

6.25x + 12 = 30.75

3 people

Step-by-step explanation: