Which number is the best approximation for π/3 : 1, 1.03, 1.05, or 1.07?​

Answers

Answer 1

Answer:

1,05

Step-by-step explanation:

Answer 2

9514 1404 393

Answer:

  1.05

Step-by-step explanation:

The relative errors are ...

1 : -4.5%1.03 : -1.6%1.05 : +0.3%1.07 : +2.2%

Of these choices, the best approximation is 1.05.

_____

A very good rational approximation of π is 355/113, which has a relative error of about 0.0000085%. This makes 355/339 a good approximation of π/3.

The relative error in the value n is ...

  (3n/π -1) × 100%


Related Questions

X-1=5x+3x-8
solve for x, step by step

Answers

Answer:

x=1

Step-by-step explanation:

X-1=5x+3x-8

X-5x-3x=-8+1

-7x=-7

-7x/-7=-7/-7

x=1

select the correct answer
1.caul will be the measure of one of the legs of a right triangle, if its hypotenuse is 10 cm and leg b is 6 cm, what will be the measure of leg a?
a) 8 cm
b) 5 cm
c) 4 cm
d) 12 cm​

please

Answers

Answer:

answer us a) 8cm

Step-by-step explanation:

a^2 + 6^2 = 10^ 2

a^2 + 36 = 100

subtract 36 from 100

a^2 = 64

square root of 64 is 8

The (minmum or maximum) value is __?

Can someone help me please, thank you

Answers

Answer:

-1 ,+1 i hope it helps mark me as brainliest

Find 10x+y when x= 10 and y = 3.
The answer is

Answers

Answer:

[tex]10x + y \\ 10(10) + 3 \\ 100 + 3 = 103[/tex]

I hope I helped you^_^

Help fast! Round the measurement 1258 mL into three significant figures

Answers

Answer:

1000mL, 1300mL and 1260mL

Step-by-step explanation:

Find the probability that a student earns a grade of A,B, or C
P=

Answers

Answer:

Step-by-step explanation:

Answer: 0.86

Step-by-step explanation:

1.1.PS-8
Write 6.81 as a mixed number in simplest form.
6.81

Answers

Answer: when you simplify it you get 6 81/100 and you cant go any further because you will start to get into approximate values.

Step-by-step explanation:

Solve
| 2x + 6 | = x

Answers

Answer:

1) soln,

or,2x+6=x

or,2x-x= -6

or,x= -6

•°•x= -6 Ans#

Find the values of the trigonometric functions of t from the given information. sec(t) = 2, terminal point of t is in Quadrant IV

Answers

Answer:

The values of the trigonometric functions of t

[tex]$\sin t=-\frac{\sqrt{3} }{2}[/tex]

[tex]\cos t=\frac{1}{2},[/tex]

[tex]\tan t=-\sqrt{3}[/tex]

[tex]$\csc t-\frac{2}{\sqrt{3} }[/tex]

[tex]\sec t=2[/tex]

[tex]\cot t=\frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Given:

[tex]\sec(t)=2[/tex]

The terminal point of [tex]t[/tex] is in Quadrant [tex]IV[/tex]

Step 1:  

To find the values of trigonometric functions of t

[tex]\sec(t)=\frac{H}{A}[/tex]

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

Analyze the figure and find the value of O

[tex]t[/tex] [tex]IV[/tex]

[tex]O=\sqrt{2^{2}-1^{2} }[/tex]

[tex]=\sqrt{4-1}[/tex]

[tex]=\sqrt{3}[/tex]

Step 2:

[tex]$\sin t=-\frac{O}{H}[/tex]

[tex]=-\frac{\sqrt{3} }{2}[/tex]

[tex]\cos t=\frac{A}{H}[/tex]

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

[tex]\tan t=-\frac{O}{A}[/tex]

[tex]=-\sqrt{3}[/tex]

[tex]$\csc t=-\frac{H}{O}[/tex]

[tex]=-\frac{2}{\sqrt{3} }[/tex]

[tex]\sec t=\frac{H}{A}[/tex]

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

[tex]\cot t=-\frac{A}{O}[/tex]

[tex]=\frac{1}{\sqrt{3} }[/tex]

Learn more about trigonometry functions, refer:

https://brainly.com/question/16693162

X-3
If f(x) =
and g(x) = 5x - 4, what is the domain of (fog)(x)?
X
{x1x*}

Answers

It’s C, because g(x) is plugged into f(x) and becomes the denominator. So x cannot equal 4/5

Please help now. I’m very confused and i don’t no how to do this. I don’t want just the answer but a great explanation.

Answers

Answer:

First option

Step-by-step explanation:

Hi there!

The "constant additive rate of change" means a constant slope.

The slope is [tex]\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}[/tex].

First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).

Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is [tex]-\displaystyle \frac{1}{4}[/tex]. This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).

This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).

Therefore, the correct answer would be the first option.

I hope this helps!

Use the diagram to find the measures of the lengths of the sides. The perimeter of the trapezoid on the right is 93
inches.

Answers

Answer:

Step-by-step explanation:

Answer:

wait- i think its this: 14, 14, 21, 47

Step-by-step explanation:

Jacob took a total of 4 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken 16 quizzes?

Answers

Answer:

The answer would be a total of 12 weeks .

Step-by-step explanation:

Because the first four test were in a total of three weeks

so in order to find out how many weeks for 16 quizzes just  multiply

4 quizzes -3 weeks

8 quizzes -6 weeks

12 quizzes - 9 weeks

16 quizzes - 12 weeks

SO just multiply 4 by 4 and multiply 4 by 3

Which statement is true about the function?

A.
The function is negative on the interval .(n/2,n)
B.
The function is positive on the interval .(3n/4, 5n/4)
C.
The function is positive on the interval .(x/4, 3n/4)
D.
The function is negative on the interval .(5x/4, 7n/4)

Answers

Answer:

A

Step-by-step explanation:

During the Interval, pi/2 to pi, the function is below the x axis, so it is negative

Answer:

A. The function is negative on the interval .(n/2,n)

Step-by-step explanation:

edmentum

If f(x)=5x-11 what is f(1)? f(3)?​

Answers

Answer:

jhbgjbfvjbdfkvbdkbnxkhfb kxvnxkvbfvkbchbfcnccfkxkhvchjjj

Step-by-step explanation:

dywfrfvyetwfkfgffyffusofgsjfdgsdlcgslvgsivsfgfisfgisfdyfdic

Step-by-step explanation:

Hi there!

Given;

f(x) = 5x-1

Now; Simply keep the value of x in the given function.

f(1) = 5*1-11

= -6

Again;

f(3) = 5*3-11

= 15-11

= 4

Therefore, f(1) = -6 and f(3) = 4.

Hope it helps!

Plz help I need help now plz

Answers

Answer:

-840

Step-by-step explanation:

When we multiply two intergers with the same sign, the product will be positive. When we multiply intergers with different signs, the quotient will be negative

[tex]( - 5) \times ( - 3) = 15[/tex]

[tex]15 \times ( - 8) = - 120[/tex]

[tex] - 120 \times 7 = - 840[/tex]

use coordinate notation to write the rule that maps each preimage to its image. Then confirm that the transformation is not a rigid motion.Number 8

Answers

In geometry, transformation involves changing the position and/or size of a shape.

The coordinate notations are:

[tex](x,y) \to (\frac{1}{2}x,\frac{1}{2}y)[/tex]. [tex](x,y) \to (2x,y)[/tex].

Both transformations are not rigid

[tex]7.\ \triangle ABC \to \triangle A'B'C'[/tex]

Using coordinates A and A', as a reference;

We have:

[tex]A = (6,6)[/tex]

[tex]A' = (3,3)[/tex]

Divide A' by A to get the scale ratio (k)

[tex]k = \frac{A'}{A}[/tex]

[tex]k = \frac{(3,3)}{(6,6)}[/tex]

Factorize

[tex]k = \frac{(3,3)}{2 \times (3,3)}[/tex]

[tex]k = \frac{1}{2}[/tex]

Hence, the coordinate notation is:

[tex](x,y) \to (\frac{1}{2}x,\frac{1}{2}y)[/tex]

Calculate distance AB and A'B' using:

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

So, we have:

[tex]AB = \sqrt{(6 - 4)^2 +(6 - -2)^2} = \sqrt{68}[/tex]

[tex]A'B' = \sqrt{(3 - 2)^2 +(3 - -1)^2} = \sqrt{17}[/tex]

Because

[tex]AB \ne A'B'[/tex]

We've confirmed that the transformation is not rigid

[tex]8.\ \triangle FGH \to \triangle F'G'H'[/tex]

Using coordinates F and F';

We have:

[tex]F = (-1,1)[/tex]

[tex]F' = (-2,1)[/tex]

Divide the x-coordinate of F' by F to get the scale ratio (k) because the y-coordinates of the pre-image and the image are the same

[tex]k = \frac{F'}{F}[/tex]

[tex]k = \frac{-2}{-1}[/tex]

[tex]k = 2[/tex]

Hence, the coordinate notation is:

[tex](x,y) \to (2x,y)[/tex]

Calculate distance FG and F'G' using:

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

So, we have:

[tex]FG = \sqrt{(-1 - 1)^2 +(1 - -1)^2} = \sqrt{8}[/tex]

[tex]F'G' = \sqrt{(-2 - 2)^2 +(1 - -1)^2} = \sqrt{20}[/tex]

Because

[tex]FG \ne F'G'[/tex]

We've confirmed that the transformation is not rigid

Read more about transformations at:

https://brainly.com/question/11709244

What is the equation of the line that passes through the point (-7, 2) and has a
slope of -1

Answers

Answer:

y = -x - 5

Step-by-step explanation:

y = mx + b

slope = m = -1

y = -1x + b

y = -x + b

Plug in (-7, 2) for x and y, and solve for b.

2 = -(-7) + b

2 = 7 + b

b = -5

y = -x - 5

Which irrational number is between 9 and 10?

Answers

Turn the question around.

9^2 = 81
10^2 = 100

Which of those numbers listed under a the square root is between 81 and 100?

A triangle has vertices A (0,0) B (2,6) and (0,4) Rotate it 180 clock wise about the origin followed by a dilation with a scale factor of 3 find the coordinates of the vertices of A’ B’ C’ and state whether the two triangles are congruent or similar

Answers

9514 1404 393

Answer:

A'(0, 0), B'(-6, -18), C'(0, -12)

Step-by-step explanation:

Rotation 180° is the transformation ...

  (x, y) ⇒ (-x, -y)

Dilation by a factor of 3 is the transformation ...

  (x, y) ⇒ (3x, 3y)

The two transformations together can be described by ...

  (x, y) ⇒ (-3x, -3y)

That is, the coordinates of A, B, C are each multiplied by -3. The image vertices are ...

  A' = -3A = A'(0, 0) . . . . . . . . the center of rotation and dilation is invariant

  B' = -3B = B'(-6, -18)

  C' = -3C = C'(0, -12)

Any dilated figure will not be congruent to the original. The triangles are similar.

Find all of the points of the form (x, −x) which are 7 units from the origin.
(x, y) =

(smaller x-value)

(x, y) =

(larger x-value)

Answers

Answer:

(-7, 0) and (7, 0)

Step-by-step explanation:

All the points that are 7 units from the origin are on the circle:

x² + y² = 7²

The maximum and minimum values of x obtained when y = 0:

x² = 7² √x² = √7²x = ± 7

So

min x = -7 and max x = 7

The points are:

(-7, 0) and (7, 0)

The equation will be

[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}=7[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=7[/tex]

If y be 0

[tex]\\ \sf\longmapsto x^2+0=7^2[/tex]

[tex]\\ \sf\longmapsto x^2=49[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{49}[/tex]

[tex]\\ \sf\longmapsto x=\pm 7[/tex]

Now the points are

(7,0)(-7,0)

A box contains six red playing cards numbered one to six and also six black playing cards numbered one to six. What is the probability of picking a card that is black or has an even number?
A. 1
B. 1/2
C. 1/4
D. 3/4

Answers

c)1/4

cards that are black and have an even number = 2b,4b,6b
total number of cards = 12
probability = 3/12 = 1/4

What is 25 x 34 in simplest form

Answers

The answer is 850 for 25 times 34 in it’s simplest form

Fill in the blank
30.030___30.03

Answers

Answer:

=

Step-by-step explanation:

It’s = same thing and weight love math <33

6 + 5y - 4y + 10 + 3x - X

Answers

Answer:

2  +   + 1 6

Step-by-step explanation:

Add the numbers:

6 + 5y - 4y + 10 + 3x -x    =  

1 6  +  5  −  4  +  3   −

Combine like terms:

16 + 5y - 4y +3x - x

16+ 1y + 3x -x

Multiply by 1

16 + 1y + 3x - x

16 + y + 3x - x

Combine like terms:

16 + y + 3x - x

16 + y + 2x

Rearrange terms:

16 + y + 2x

2x + y + 16

Answer:

16 + y + 2x

Step-by-step explanation:

[tex]6 + 5y - 4y + 10 + 3x - x[/tex]

[tex]16 + 5y - 4y + 3x - x[/tex]

[tex]5y - 4y = (5 - 4)y = 1y = y[/tex]

[tex]16 + y + 3x - x[/tex]

[tex] = 16 + y + 2x[/tex]

What shape is this? Plz help

Answers

Answer:

I think it is a triangle..

Answer:

A triangle

Step-by-step explanation:

Even if you split the shape in half it still maintains to have 3 sides making it a triangle.

please show work hahah I really suck with these equations f – 6 = -2f + 3(f – 2)

Answers

Step-by-step explanation:

I tried my best to answer this question I guess this would help

Josef has $300 to spend. Which inequality could help him find the maximum number of gifts, x, he could buy if he needs $215 to fix his car and then wants to spend $15 on each gift?

Answers

Answer:

x = (300 - 215)/15

Step-by-step explanation:

x, the amount of gifts, is equal to the amount of money left over after he fixes his car, divided by the amount he's willing to spend on each gift.

josef could buy a maximum of 5 gifts! the answer is 5.6 but he can't buy half a gift, nor can he afford 6, so we round down to get 5 gifts :)

Answer:

Josef can buy 5 gifts for 75$

x=15 is this a function how do you do it

Answers

Answer:

Step-by-step explanation:


What is the common difference -30,70,170,270

Answers

The common difference is 100 Explanation: a2-a1 = 70- -30 = 100
a3-a2= 170-70= 100
a4-a3=270-170=100
d=100
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