6x - 8-10 = 2 (2x+8) + 2x + 2

Step-by-step explanation:

Total Surface area of a pyramid is given as

= Lateral surface area + area of base.

Lateral surface area = 1/2×perimeter of base×slant height

given the base is square with side 9 in , and slant height of 12 inches.

therefore, LSA = 1/2(9*4)×12 = 216 in^2

Now, TSA = LSA + Base area = 216+9^2 = 297 in^2

a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).

b) It can not be solved as dimensions are missing in the question.

However, the logic has been explained in the soluion one easily put values to find the solution.

Answer:

Step-by-step explanation:

h^-1(x) is the inverse of h(x) so its graph is the reflection of h(x)

in the lines y =- x.

This reflection is (x, y) ---> (y , x)

So the required point is (9, -8)

The point (9, -8) must lie on the inverse function [tex]h^{(-1)}(x)[/tex].

To find the point that must lie on the inverse function [tex]h^{(-1)}(x)[/tex], use the fact that points on the original function and its inverse are reflections over the line y = x.

If the point (-8, 9) lies on the function h(x), then the inverse function [tex]h^{(-1)[/tex](x) will have a point that is the reflection of (-8, 9) over the line y = x.

The coordinates of the reflected point will simply swap the x and y values. So, the point that must lie on [tex]h^{(-1)[/tex](x) is (9, -8).

Therefore, the point (9, -8) lie on the function [tex]h^{(-1)}(x)[/tex].

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Answer:

21 degrees

Step-by-step explanation:

Triangles have a total angle of 180 degrees.

This makes our equation:

3x+3+4x+135=180

Subtract 135 from both sides and combine like terms

7x + 3 = 45

Subtract 3 from both sides

7x = 42

Divide both sides by 7

x = 6

Plugging the number in:

3x + 3 =

3(6) + 3 =

21

Answer:

105

Step-by-step explanation:

multiply 350 by .30(30%) and that will tell you how many goldfish there are

Answer:

105 fish my dear

Step-by-step explanation:

Answer:

5/144

Step-by-step explanation:

Step one:

given data

sample space

15 white,

8 pink,

3 yellow, and

10 black golf balls

Sample size= 15+8+3+10= 36 golf balls

Step two:

1. first event

selecting a yellow ball= 3/36= 1/12

2. second event with a replacement on the first event

selecting a white ball= 15/36= 5/12

hence for the two events, the probability is

1/12*5/12

= 5/144

Answer:

The graph touches the x axis at x = 0 and crosses the x axis at x = 5 and x = -2.

Step-by-step explanation:

Answer:

2, -2

Step-by-step explanation:

just test each one

Based on the number of questions in the quiz that Suzie did, if 12 questions were not graded and they were all correct, the new percentage on the quiz is 69.4%

There were 49 questions in the quiz and 12 were not graded. The number that was graded was;

= 49 - 12

= 37 questions

She got 59.2% which means that the number of questions Suzie got correct were:

= 37 x 59.2%

= 21.9

= 22 answers

If the 12 questions were correct, the new percentage would be:

= (22 + 12) / 49  x 100%

= 34 / 49 x 100%

= 0.693877551 x 100%
= 69.4%

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Answer:

Hey mate, just subsitute all the G's for -7 and all the H's for 3 in the question. Then put the question number in the blank that the answer matches.

Step-by-step explanation:

Answer:

The answer would be 9

Step-by-step explanation:

Answer:

• 5 packs of plates

• 6 packs of cups

Step-by-step explanation:

5 packs of plates = 60 plates (5×12)

6 packs of cups = 60 cups (6×10)

Answer:

5 packs of plates

6 packs of cups

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

Explanation:

GCF = greatest common factor

LCM = lowest common multiple

The GCF of 12 and 10 is 2 since

It's the largest factor they have in common together.

Multiply 12 and 10, then divide by the GCF to get the LCM

LCM = (12*10)/GCF = 120/2 = 60

The LCM is 60. We can verify this by looking at a few multiples like so

The LCM is the amount of plates and cups that match up.

Buying 5 packs of 12 plates gets 5*12 = 60 plates total

Buying 6 packs of 10 cups each gets 6*10 = 60 cups total

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Step-by-step explanation:

Two lines are parallel if they have the same slope and are perpendicular if the product of their slopes is -1

37.a.Parallel slope=¾

b.Perpendicular slope =-1/¾=-4/3

38.a. -2x+5y=9 and 5x+2y=-6

For the first line,5y=2x+9,y=2/5x+9/5

For the second line,2y=-6-5x,y=-3-5/2x

Compare the slopes

2/5 vs -5/2 we see that -5/2 is the negative reciprocal of 2/5 therefore they are perpendicular

39. If both lines are parallel then their slopes are equal. The slope of y=3x-8 is 3

Using the point-slope form, y-y1=m(x-x1)

y--6=3(x--4)

y+6=3(x+4)

y+6=3x+12

y=3x+12-6

y=3x+6

40.The slope of y=¼x-12 is ¼

The negative reciprocal of it is the slope of it's perpendicular that is -1/¼=-4

Using the point slope form, y-y1=m(x-x1)

y-5=-4(x-2)

y-5=-4x+8

y=-4x+8+5

y=-4x+13

Answer:6

Step-by-step explanation:

4

Answer:

Step-by-step explanation:

c

Answer:

m = 2

Step-by-step explanation:

Rearrange the second equation into slope-intercept form (so that it is formatted the same as the first equation)

8x - 4y = 12

8x - 8x - 4y = -8x + 12

-4y = -8x + 12

-4y/-4 = (-8x + 12)/-4

y = 2x - 3

The slope for this equation is 2.

Equations with the same slope  are parallel and therefore have no solution since they can never intersect.  Hence, the required value of m is 2.

Answer:

The list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Step-by-step explanation:

We know that in a triangle the greater angle has the longer side opposite to it.

From the given triangle,

Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.

Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.

Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.

Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Answer:

A)6

B)ST

Step-by-step explanation:

A if u turn it,  15 is equal to the 10

15/9=10/x

x=90/15

x=6

B) Turn it so #2 is facing up.

ST is the same.

Hope this helps plz hit the crown :D

Step-by-step explanation:

A. BC/FG = AC/EG

9/FG = 15/10

FG = (9 x 10) / 15

FG = 6

B. CD/EA= ST/UQ

Follow my account^^

Answer:

[tex]g(w) = 210+ 10w[/tex]

Step-by-step explanation:

Given

[tex]f(w) = 250 + 10w[/tex]

[tex]Withdrawal = \$40[/tex]

Required

Determine g(w)

First, we'll write an expression for g(w)

From the question, we understand that she withdrew $40 from her account balance in w weeks.

This implies that:

[tex]g(w) = f(w) - 40[/tex]

Where f(w) is the account balance in w weeks and $40 is the withdrawn amount

Substitute 250 + 10w for f(w)

[tex]g(w) = 250 + 10w - 40[/tex]

Collect Like Terms

[tex]g(w) = 250 - 40+ 10w[/tex]

[tex]g(w) = 210+ 10w[/tex]

Recall that:

[tex]g(w) = f(w) - 40[/tex]

This means that function f(w) when shifter by 40 units downward, gives g(w)

Answer:

I hope this helps!

Answer:

It i 5.Because it is Equlitrial triangle

Answer:

40

Step-by-step explanation:

Add all the sides together which is 40

Answer:35

Step-by-step explanation:

Step-by-step explanation:

the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.

it does not matter in what direction we go, but it is important to keep the same direction for the x and the y comparison.

because I prefer to go from left to right, let's go from

(-3, -4) to (5, 12).

x changes by +8 (from -3 to 5).

y changes by +16 (from -4 to 12).

so, the slope is

+16/+8 = 2/1 = 2

Answer:

Please see the attached picture!

Hope this helps! ♡

----------------Keep Exploring ! --------

Answer: f (x) =7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Could you help me on my history please

Answer:

40

Step-by-step explanation:

55% of n is equal to 22.

First, let's make an equation:

(55/100)*n = 22

(11/20)*n = 22 (reduced the fraction)

n = 22/(11/20) (divide both sides by 11/20)

n = 40

Hope this helps!

Mrs. Page bought 8 cases of plain white paper.

To solve for the number of cases of plain white paper Mrs. Page bought, we will use algebraic expressions.

Algebraic expression is an expression consisting variables ad coefficient.

We will designate a variable for the unknown and solve it using the algebraic expressions made.

The number of cases of plain white paper and premium color paper is unknown.

Let x = number of cases of plain white paper

and y = number of cases of premium color paper

If Mrs. Page bought 20 cases altogether, then

x + y = 20

If Mrs. Page spent a total of $720 for the 20 cases, and the premium color paper costs $40 per case and the plain white paper costs $30 per case, then:

30x + 40y = 720

Multiplying the first equation by 30, we get:

30x + 30y = 600

Subtracting it to the 2nd equation,

30x + 40y = 720

- 30x + 30y = 600

            10y = 120

y = 12

Recall that x + y = 20. Then,

x + 12 = 20

x = 8

Hence, Mrs. Page bought 8 cases of plain white paper and 12 cases of premium color paper.

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Answer

3.2

Step-by-step explanation

8% of 40 is 3.2

so it would be 40- 3.2 and that = 36.8