what is the exact number for pi?

Jerry is paving the parking spot shown in the attached file below.

It costs $ 50  to pave each square meter. Find the cost to pave the parking spot  [tex]6 \dfrac{1}{4}\ m[/tex].

Answer:

$1250

Step-by-step explanation:

From the image attached below;

The paving of Jerry around the parking spot assume a shape of parallelogram.

However, in order to find the cost to pave the parking spot, we need to first determine the area of the assume shape of the parking spot (i.e parallelogram)

Area of a parallelogram = Base × height

where;

the base = 4m

the height = [tex]6 \dfrac{1}{4}\ m[/tex]

Area of a parallelogram = [tex]4 \times 6 \dfrac{1}{4}[/tex]

Area of a parallelogram = [tex]4 \times \dfrac{25}{4}[/tex]

Area of a parallelogram = 25 m²

Since it cost $50 to pave 1 square meter;

∴

The cost to  pave 25 m² area of the parking spot is

= 25 × 50

= $1250

Answer:

1250

Step-by-step explanation:

The parking space is in the shape of a parallelogram, so to find the area needed to pave it, you will use the formula for finding area of a parallelogram.

A = 4 x 6 1/4

A = 25 square meters

You will pave 25 square meters.

25 x 50 = 1250

The Jerry will pay $1250.

Answer:

0.05 + 0.1y = 0.12 + 0.06y

Step-by-step explanation:

Here, we want to find y which is the heat in which the amount of mercury in each of the water bodies is same.

Now for the first water body:

Initial is 0.05 ppb and after y years, we have a rise of 0.1 * y = 0.1y ppb

So the amount of mercury in ppb after y years would be; 0.05 + 0.1y

For the second water body;

Initial is 0.12 and a rise of 0.06 ppb per year for y years. The rise would be 0.06 * y = 0.06y

So total amount of mercury here is 0.12 + 0.06y

So to find y which is the year the amount of mercury in each water body is same, we simple equate both and that would be;

0.05 + 0.1y = 0.12 + 0.06y

Answer:

C 0.05+0.1y=0.12+0.06y

Step-by-step explanation:

Answer:

second option

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = x and h = 2x , thus

V = π × x² × 2x = 2πx³

open the picture I wrote the explanation there

Answer:

Y2-y1/x2-x1

=2-(-6)/2-(-2)

=8/4

=2

Step-by-step explanation:

Given two points of a line to find the slope we use the formula; y2-y1/x2-x1 Hence the answer above.

Hello!

A conditional probability can always be computed using the formula in the definition. Sometimes it can be computed by discarding part of the sample space. Two events A and B are independent if the probability P(A∩B) of their intersection A ∩ B is equal to the product P(A)·P(B) of their individual probabilities.

Hope this helps.

Answer:

Solution,

Let the points be A and B

A(-3,2)------->( X1,y1)

B(-2,5)------>( x2,y2)

Now,

gradient means slope.

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: = \frac{5 - 2}{ - 2 - ( - 3)} \\ \: \: \: \: \: = \frac{ - 3}{ - 2 + 3} \\ \: \: \: \: \: = \frac{ - 3}{1} \\ \: \: \: = - 3[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

[tex]\boxed{x=3}[/tex]

Step-by-step explanation:

Let's solve now

[tex]\red{( - 3 \: \: \: \: \: \: 2)} = >\green{ (x1 \: \: \: \: \: y1) }\\ \red{( - 2 \: \: \: \: \: \: 5 ) }= >\green{ (x2 \: \: \: \: \: y2)}\\ [/tex]

[tex]\blue{slope = \frac{y1 - y2}{x1 - x2} } \\ = \frac{2 - 5}{ - 3 - ( - 2)} \\ = \frac{ - 3}{ - 3 + 2} \\ = \frac{ - 3}{ - 1} \\ = 3[/tex]

To find the total number of combinations, multiply each quantity by each other:

5 x 6 x 4 = 120 different ways

There are a total of 120 ways to select one top, one skirt, and one cap to choose an outfit.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of tops = 5

Total number of skirts = 6

Total number of caps = 4

Then, the number of ways to select one at a time will be,

5 × 6 × 4 = 120 ways.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

Answer:

x = -2/3, 1/3

Step-by-step explanation:

Step 1: Factor

(3x + 2)(3x - 1) = 0

Step 2: Find roots

3x + 2 = 0

3x = -2

x = -2/3

3x - 1 = 0

3x = 1

x = 1/3

Answer:

Step-by-step explanation:

factor ; (3x-1)(3x+2)=0

then make both 3x-1 and 3x+2 equal to 0

(3x-1)=0   solve        3x+2=0

+ 1      +1                        -2   -2

_______                  _______

3x = 1                       3x = -2

x =1/3                       x= -2/3

check for to make sure both solutions work by plugging back into the equation

Answer:

[tex]-3 < x < 2[/tex]

Step-by-step explanation:

Given:

Range: -3 to 2

Required:

- Write the inequality

- Represent on a number line

Let the variable be represented by x

The question says -3 and 2 are exclusive of x;

This implies that, -3 is less than x [tex](i.e.\ -3 < x)[/tex] and at the same time x is less than 2 [tex](i.e.\ x < 2)[/tex]

Write out the two inequalities

[tex]-3 < x[/tex] and [tex]x < 2[/tex]

Combine both inequalities

[tex]-3 < x < 2[/tex]

See attachment for number line

Notice that the circle on -3 and 2 are opened

This implies that -3 and 2 are exclusive of the inequality;

Answer: -34

Step-by-step explanation:

Step 1: 7x2=14

Step 2: 14+3=17

Step 3: 7-9=-2

Step 4: 17x-2= -34

Answer:

the same

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 70 degrees.

All triangles have 180 degrees.

So ABC has 180 degrees.

70 + 50 + ACB = 180 Combine like terms

120 + ACB = 180 Subtract 120 from both sides

ACB = 180 - 120

ACB = 60

y = ACB

y = 60 degrees

Answer:

$7.02

Step-by-step explanation:

Price of 92 sheets = 92 * $0.50 = $46

Price of 2 packages = 2 * $19.99 = $38.98

Savings = $46 - $38.98 = $7.02

Subtract the values for May and April

13.8 - 6.3 = 7.5

Answer:

Step-by-step explanation:

The sum of angles that form a linear pair is 180°. If angle 1 and angle 2 are a linear pair, then the sum of both angles is equal to 180°.

angle 1 + angle 2 = 180° ... 1

If two angles are vertical angles , this means that both angles are equal.  Therefore if angle 2 and angle 3 are vertical angles, then both angles are equal i. e angle 2 = angle 3 = (5y - 30)°

Given angle 1 = (3y + 10)° and angle 2 = (5y - 30)°

Substituting this angles into equation 1 to get the value of y;

(3y + 10)°+(5y - 30)° = 180°

3y+5y+10-30 = 180

8y-20 = 180

8y = 180+20

8y = 200

y = 200/8

y = 25°

To get the measure of angle 2, we will substitute y = 25° into the equation angle 2 = (5y - 30)°

angle 2 = 5(25) - 30

angle 2 = 125 - 30

angle 2 = 95°

Answer:

1

Step-by-step explanation:

Add the exponents of the as inside the parenthesis.

8+6 =14

Power to a power = multiplication of exponents.

14 times 1/7 = 2

[tex]\frac{a^2}{a^2}[/tex] When you divide, subtract exponents.

2-2 = 0

Any number to the zeroth = 1

The answer is 1.

Answer:

A. 4^15.

Step-by-step explanation:

When a power of a number is then raised to a power, the powers multiply. So, this would be 4^(3 * 5) = 4^15. A.

Hope this helps!

Answer:

Amount the watch normally costs: w

Amount if the discount: 0.3w

Percent decrease of the discount, as a decimal: 0.3

Percent of the normal cost that Chad paid, as a decimal: 0.7

Answer:

  [tex]\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}[/tex]

Step-by-step explanation:

[tex]\text{a) }64\qquad\text{an integer; not a surd}\\\\\text{b) }\sqrt[6]{64}=2\qquad\text{an integer; not a surd}\\\\\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}\qquad\textbf{a surd}\\\\\text{d) }\sqrt[3]{64}=4\qquad\text{an integer; not a surd}[/tex]

Answer:

Solution,

Total Cost price (CP) = Rs 1120 + Rs 160

= Rs 1280

Selling Price (SP) = Rs 1344

Here,

SP > CP , so he made profit.

Amount of profit = SP - CP

= Rs 1344 - Rs 1280

= Rs 64

Now, finding the profit percent,

Profit %=[tex] \frac{profit \: }{cp} \times 100 \: percent[/tex]

[tex] \frac{64}{1280} \times 100 \: percent[/tex]

[tex]5 \: percent[/tex]

Profit percent = 5%

Hope this helps...

Good luck on your assignment...

Answer:

1 and 3

Step-by-step explanation:

Answer: B and E

Step-by-step explanation:

These triangles are all congruent.  Thus, they occupy the whole circle, all 360 degrees.  That means that each arc and center angle = 120 degrees, or 360/3.

Hope it helps <3

Answer:

It would be changing by which a person thinks.

But, I will pick 569.124.

It would be 5.69124e2. (or 5.6912 x 10^3)

Answer:

569.124

Step-by-step explanation:

Answer:

Total surface area of cone = 316.355 ft²

Step-by-step explanation:

Given:

Slant height of cone (l) = 9 feet

Radius of cone (r) =  6.5 feet

Find:

Total surface area of cone.

Computation:

Total surface area of cone = πr(l+r)

Total surface area of cone = (3.14)(6.5)(9+6.5)

Total surface area of cone = (3.14)(6.5)(15.5

Total surface area of cone = 316.355 ft²

Answer:

Step-by-step explanation:

You see that 't' is the 'argument' or 'input' to h:  h(t).  It is always safe to assume that t is the independent variable and h is the depend

Answer:

To ask questions you need points.

Step-by-step explanation:

Answer:

They help you ask questions as it costs points to ask questions, and the more points you use on a question, the more points someone gets for answering it, meaning they are more likely to answer your question.

They also are used as a form of ranking users, based on how much time they spend on the site helping people and such.

Answer:

Let's assign the variable x to cosA. The expression then becomes x² - 5x + 6. To factorize this we need to find two numbers that have a sum of -5 and a product of 6; these numbers are -2 and -3 so the expression becomes (x - 2)(x - 3). Since we know that x = cosA the final answer is (cosA - 2)(cosA - 3).

Answer:

[tex]x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1:

[tex]ax^2+bx+c = 0[/tex]

Step 2:

[tex]ax^2+bx = -c[/tex]

Step 3:

[tex]\frac{ax^2+bx}{a} = \frac{-c}{a}[/tex]

Step 4:

Adding [tex]\frac{b^2}{4a^2}[/tex] to both sides to complete the square

[tex]x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}[/tex]

Step 5:

[tex]x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-4ac+b^2}{4a^2}[/tex]

Step 6:

Taking square root on both sides

[tex]x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}[/tex]

Answer:

A.  Rewrite the perfect square trinomial as a binomial squared on the left side of the equation

Step-by-step explanation:

Answer:

Question 1: y = 3/4x + 1/4.

Question 2: y = 6/5x + 7/5.

Step-by-step explanation:

Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.

Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.

4 = 3/4(5) + b

b + 15/4 = 4

b = 16/4 - 15/4

b = 1/4

So, the equation of the line is y = 3/4x + 1/4.

Question 2: 5x + 6y = -6

6y = -5x - 6

y = -5/6x - 1

As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.

The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.

-1 = 6/5(-2) + b

b - 12/5 = -5/5

b = -5/5 + 12/5

b = 7/5

So, the equation of the line is y = 6/5x + 7/5.

Hope this helps!

Answer:

the option 3 says that the volume of box is true.as volume of box is calculated by (v)= l×b×h

Answer:

Step-by-step explanation:

Volume is a cubic measure. That means that the label you get for volume is the length cubed. For example, if the sides of that box were meaured in inches, your label would be in inches cubed. To get a length cubed, you would multiply. If each of the length, width, and height all measured x, then our volume expression would be x*x*x which is x-cubed.

That should tell you that to find the volume of the box shown, you have to multiply the length, width, and height together. The option you want is C. The word "product" means to multiply, in case that was an issue with determining the correct answer.

→Answer:

y = -17

→Step-by-step explanation:

Well first off the f(x) in the equation f(x) = 3x + 7 can also be written as y,

y = 3x + 7

So if x is -8 we need to plug it in for x and solve, simple as that :)

y = 3(-8) + 7

y = -24 +7

y = -17