what is the value of a in simplest form?

Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)

Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)

Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.

This may be a little confusing, so don't be afraid to ask for clarification, but great luck!

Answer:

1

Step-by-step explanation:

l 10 - 11 l = |-1|= 1

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]\left|10-11\right|[/tex]

[tex]\left|-1\right|[/tex]

[tex]=1[/tex]

Answer:

use calculator

Step-by-step explanation:

1/500=0.002

3 2/25=308%

2.6=2 6/10

0.25%=0.0025

Answer:

They are actually in the correct order left to right !

Step-by-step explanation:

1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.

1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.

In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!

As stated above when displaying percentages in decimal form:

100% = 1,

25% = 0.25,

1% = 0.01,

0.25% = 0.0025!

Answer:

38 m^3

Step-by-step explanation:

The shape of the shed is a prism.

volume = area of base * height

The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.

area of base = area of rectangle + area of triangle

The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m

area of base = LW + (1/2)bh

area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)

area of base = 15 m^2 + 4 m^2

area of base = 19 m^2

height of prism = 2 m

volume = area of base * height

volume = 19 m^2 * 2 m

volume = 38 m^3

Answer:

10%

Step-by-step explanation:

35 ÷ 100 = 0.35

38.5 - 35 = 3.5

3.5 ÷ 0.35 = 10%

Answer:

[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]

[tex]\pi =3.14[/tex]

[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]

[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]

Step-by-step explanation:

1. Volume of sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

2. Volume of hemisphere

[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]

The volume of hemisphere  is 1,41,130.7 cubic inch.

The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

Given the radius of hemisphere  = 40.7 inches

to find the volume,

volume of hemisphere  = 2/3πr³

volume of hemisphere  = 2/3(3.14)(40.7)³

volume of hemisphere  = 2/3(3.14)(67419.143)

volume of hemisphere  = 1,41,130.7 cubic inch.

Hence the volume is 1,41,130.7 cubic inch.

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Answer:

1/4

Step-by-step explanation:

Each term is a fourth of the term before.

So, each term is the previous term multiplied by 1/4

Answer:

1/4

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

We can use the slope formula(k=y₁-y₂/x₁-x₂) to solve this problem

k = 2-1/3-(-4) = 1/7

Answer:

-x (2 x - 5) (3 x + 2)

Step-by-step explanation:

Factor the following:

-6 x^3 + 11 x^2 + 10 x

Factor -x out of -6 x^3 + 11 x^2 + 10 x:

-x (6 x^2 - 11 x - 10)

Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):

-x 2 x (3 x + 2) - 5 (3 x + 2)

Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):

Answer:  -x (2 x - 5) (3 x + 2)

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

Considering the given point of (0,0), to find the value of b:

The line is:

b)Slope of 2 through the point (0,−3)

Solving as above:

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

Answer:

f(-5) = -5/4

Step-by-step explanation:

Answer:

Answer is -1/20

Step-by-step explanation:

Hope this helps.

Answer:

Step-by-step explanation:

r = 8 in

h = 5 in

Volume of cylinder = πr²h

                                = π * 8 * 8* 5

                                = 320π in³

Answer:

v=hpir^2

h=5

r=8

v=5pi8^2

v=5pi64

v=320pi cubic inches

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Anything to the power of zero is one

Step-by-step explanation:

First, I would work out the missing angle:

25° + 90° (right-angle) = 115°

180° - 115° = 65°

The missing angle is 65°.

-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit

Answer:

Side AB = 4.41

Answer:

C. (8, 4)

Step-by-step explanation:

I graphed it

Answer:

(8,4)

Step-by-step explanation:

4x + 7y= 60

- 4x + 7y= -4

Add the two equations together to eliminate x

4x + 7y= 60

- 4x + 7y= -4

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

  14y = 56

Divide each side by 14

14y/14 = 56/14

y = 4

Now find x

4x +7y = 60

4x +7(4) = 60

4x+28 = 60

Subtract 28 from each side

4x = 60-28

4x= 32

Divide by 4

4x/4 = 32/4

x =8

10m + n^2/4

m = 5

n = 4

We can now substitute numbers in for the variables.

10(5) + (4)^2/4

50 + 4^2/4

50 + (4 * 4)/4

50 + 16/4

50 + 4

= 54

Answer:

Its 54 guys explanation in COMMENTS

Heres rule for 2nd term

x^n/x^(n-1) = x

The lateral surface area of the rectangular prism is: D. 240 cm²

The lateral surface area of rectangular prism =  2(l + w)h.

Given the following:

Plug in the values into the formula

Lateral surface area of the rectangular prism =  2(9 + 6)8

Lateral surface area of the rectangular prism =  240 cm²

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Answers:

please see the attached picture for full solution

hope it helps

Good luck on your assignment...

Answer:  

How many pets do my teachers have?

How many points did the high school soccer team score in its last few games?

Which of our school books has the most pages?

How many handstands can I do in 10 mins?

Step-by-step explanation:

To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.

The Statistical question are:

A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.

A statistical question is one that can be answered by gathering varying amounts of data.

Make the question so that you can collect more than one piece of data to convert it into a statistical query.

So, the Conversion into statistical question are

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[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.

This means that these two are equal. hope this helps!

8/25 is equal to 0.32

let me know if u need explanation

Answer:

B

Step-by-step explanation:

A: -(3/-2)=-(-3/2)=3/2

B:3/-2=-3/2

C:-(-3/2)=3/2

D:-3/-2=3/2

Answer:

[tex]3x^2-13x+4[/tex]

Step-by-step explanation:

[tex](x - 4)(3x - 1)[/tex]

[tex]3x^2-1x-12x+4[/tex]

[tex]3x^2-13x+4[/tex]

Answer:

y = -1/3x+3

Step-by-step explanation:

use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer.  y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

The equation that represents the graphed function would be; y = -1/3x+3

We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.

Now plug in the values and get the answer.  

y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3-2) / ( 0-3)

m = -1/3

The equation will be  y=-1/3x+3

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Answer:

Step-by-step explanation:

Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.

Given that,  

[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]

solution by Cramer's rule

[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A = -320[/tex]

[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A_1 = 7210[/tex]

[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]

[tex]A_2=-10135[/tex]

[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]

[tex]A_3=-2770[/tex]

[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]

[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]

[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]

[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]

Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

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Answer: Yes

if the selection is randomly picked and it's within the statistical population.

Step-by-step explanation:

Sampling is the random selection of objects within the statistical data or population.

This random selected individual will represent the whole population.

If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.

Answer:

D

Step-by-step explanation:

0.333... is rational because it can be lined up to the fraction 1/3.

Answer:

D.

Step-by-step explanation:

The definition of a rational number is a number that can be expressed as the ratio of two integers.

We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.

We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.

I hope this helps!

Answer:

A,D

Step-by-step explanation:

I'm taking the test

The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.

Hence, option A and option D are correct.

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Answer:

200 dollars

Step-by-step explanation:

Answer: +12f +49g

-2f(-6)-7g(-7)

No if your looking for the graph answer on Khan academy then it's 11