Does anybody know this? I got told it was the third option but it was wrong.Find the area of the shaded sector use 3.14 for pi

Answer:

See below ~

Step-by-step explanation:

Domain : range of x -values

Range : possible y-values

Increasing :

Decreasing :

Constant :

Answer:

Below.

Step-by-step explanation:

I can do this using calculus but the algebra will be a bit messy.

Let the 2 equal sides of isosceles triangle be x and the base be y units long.

Then perimeter p = 2x + y.

Area A = 0.5yh  where h is the altitude of the triangle.

h =  sqrt [x^2 - (0.5y)^2]

=  [x^2 - (0.5y)^2]^0.5

So A = 0.5y * [x^2 - (0.5y)^2]^0.5

From the perimeter formula y = p - 2x so:

A = 0.5(p-2x) * [x^2 - (0.5(p-2x)^2]^0.5

A = 0.5(p-2x) * [x^2 - 0.25(p^2 - 4xp + 4x^2)]^0.5

A = 0.5(p-2x) * [x^2 - 0.25p^2 + xp - x^2]^0.5

A = (0.5p-x) * [xp - 0.25p^2]^0.5

We now find the derivative and equate it to zero to find the value of x which corresponds to a maximum area.

We use the product rule:

dA/dx =   (0.5p-x)* 0.5(xp - 0.25p^2)^(-0.5) * p  - 1(xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 -  (xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 =  (xp - 0.25p^2)^0.5

Now multiplying though by (2((xp - 0.25p^2)^0.5 :-

p(0.5p - x) = 2 (xp - 0.25p^2)

0.5p^2 - px = 2px - 0.5p^2

p^2 = 3px

x = p^2/3p = p/3

So for a maximum value of the area x = p/3.

But y = p - 2x

         = p - 2(p/3)

          = p -  2/3p

           = p/3

- but we've just shown that x = p/3

That means that x = y and the triangle is Equilateral.

Answer:

7 hours and 30 minutes

Step-by-step explanation:

because if you divide the 5 hours by the 2 people you get 2 hours and 30 minutes so if you add one more person you are basically adding 2 hours and 30 minutes so if u add that 2 hours and 30 minutes to the 5 hours you will get 7 hours and 30 minutes

             [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

          Write the equation of a line perpendicular to y=-12x+2 going

           through (0, -1)

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

        First, let's take a look at our provided information:-

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

[tex]\Large\textit{12}[/tex]

And now, We flip the number over:-

[tex]\Large\text{$\displaystyle\frac{1}{12}$}[/tex]

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]

Replace letters with numbers,

[tex]\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}[/tex]

On simplification,

[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}[/tex]

On further simplification,

[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}[/tex]

Subtracting 1 on both sides,

[tex]\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}[/tex]

[tex]\Uparrow\texttt{Our equation in slope-intercept form}[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Answer:

4th graph

Step-by-step explanation:

I believe that they are just saying f(x) and then adding 2 to each of the corrdnants to x+2 y+2

Answer:

See below ~

Step-by-step explanation:

The +2 in the equation : f(x) + 2, indicates the y-intercept of the graph lies at (0, 2). The 4th graph (attached below) is the correct answer.

Answer:

[tex]\displaystyle \frac{4}{3}\text{cm}^2/\text{min}[/tex]

Step-by-step explanation:

Given

[tex]\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}[/tex]

Solution

(1) Find the rate of the cube's edge length with respect to time at s=30:

[tex]\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}[/tex]

(2) Find the rate of the cube's surface area with respect to time at s=30:

[tex]\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}[/tex]

Therefore, the surface area increases when the length of an edge is 30 cm at a rate of [tex]\displaystyle \frac{4}{3}\text{cm}^2/\text{min}[/tex].

Answer:

10

Step-by-step explanation:

✓(y1-y2)²+(x1-x2)²

✓(2-8)²+(1-9)²

✓(-6)²+(-8)²

✓36+64

✓100

=10

Answer:

10

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

There are 20 students in the class.

The scores are :

100, 95, 88, 62, 74, 90, 100, 58, 72, 60, 85, 90, 70, 72, 54, 100, 60, 80, 75, 51

* scores ≥ 70 have been highlighted in bold

Out the 20, 14 students have passed.

Hence, the fraction of students passed :

a)    Line parallel to the line 3x+5y=-10 is -6x-10y=9

b)    Line parallel to the line 2y-4x=5 and which goes through the point

       (3,7) is y= 2x-1.

c)      Line perpendicular to the line 8x+6y=-1 and which goes through the

        point (-2,1) is 4y= 3x+ 10

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.

a) Equation parallel to 3x+5y=-10 is

    -6x-10y=9

So, it satisfies:  [tex]\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}[/tex]

b)given equation into the form of y=mx+c,

     2y-4x=5

we can find the gradient of the line.

  2y= 5+4x

  y= [tex]\frac{5}{2}[/tex] + 2x

Hence, the gradient is 2.

As, Parallel lines have the same gradient

Thus the line would also have a gradient of 2.

Substitute m=2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x=3, y=7,

7= 2(3) +c

7= 6 +c

c=6-7

c= -1

So, equation of line be: y= 2x-1.

c) Given: 8x+6y=-1

     6y= -1-8x

     y= [tex]\frac{-1}{6} -\frac{4}{3}x[/tex]

Hence, m= [tex]-\frac{4}{3}[/tex]

We know, if two lines are perpendicular have m and m' as slope then,

m*m'=-1

[tex]\frac{-4}{3} *m'=-1[/tex]

 m'= [tex]\frac{3}{4}[/tex]

Now, y= [tex]\frac{3}{4}[/tex] x +c

Put x= -1 and y=1

then, 1= [tex]\frac{3}{4}[/tex] (-2) + c

         c= [tex]\frac{5}{3}[/tex]

So,  y= [tex]\frac{3}{4}[/tex] x + [tex]\frac{5}{2}[/tex]

     4y= 3x+ 10

Learn more about equation of line here:

https://brainly.com/question/14577230

#SPJ1

Step-by-step explanation:

Proof: equidistance means at an equal distance from two points

so: Take the distance formula and then plug the values in and compare.

Answer:

its D

Step-by-step explanation:

equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}

To solve this problem, we need to use combination which is statistical tool to determine the number of ways an event may occur. The combination to select a 5 a side team from 12 students is 792.

This a mathematical technique that is used to determine the number of possible arrangements in a collection of items where the way they're arranged does not matter.

Data;

The combination for this would be

[tex]C = ^1^2C_5 = 792[/tex]

The combination to select a 5 a side team from 12 students is 792.

Learn more on combination here;

https://brainly.com/question/251701

#SPJ1

Answer:

See below ~

Step-by-step explanation:

Finding the x-intercepts :

Finding the vertex :

Answer:

540

Step-by-step explanation:

If you divide 540 by 100 (100%) you get 5.4 then multiply it by 10 (10%) to get 54 again. THIS WAS TO CHECK TO GET: 10% or 100% is 10 so multiply 54•10=540

Hope this helps! ;-)

Answer:

Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation. A = 75((125+81)/2) A = 75(206/2) A = 75(103) A = 7725 The area of the field is 7725 square feet.

Step-by-step explanation:

The equivalent equations of the trapezoid are:

h = 2A / (b₁ + b₂)

b₁ = 2A / h - b₂

b₂ = 2A / h - b₁

A = (b₁ + b₂) x h / 2

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as 1/2 x the sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The formula for the area of a trapezoid can be rearranged in different ways to express the same relationship between the height, the bases, and the area.

Here are a few equivalent equations:

h = 2A / (b₁ + b₂) (solve for h)

b₁ = 2A / h - b₂ (solve for b₁)

b₂ = 2A / h - b₁ (solve for b₂)

A = (b₁ + b₂) x h / 2 (multiply both sides by 2 and divide by h)

These equations can be used interchangeably to calculate the area, height, or base of a trapezoid, depending on which variables are known or given.

Thus,

The equivalent equations are:

h = 2A / (b₁ + b₂)

b₁ = 2A / h - b₂

b₂ = 2A / h - b₁

A = (b₁ + b₂) x h / 2

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ5

Answer:

The graph will be an exponential function that crosses the y-axis at about (0, -4).

Answer:

18

Step-by-step explanation:

[tex]184 \times 3 = 59 \div 2 = \times \frac{?}{?} [/tex]

Answer:

The answer is 14

Step-by-step explanation:

Put the numbers in order from least to greatest

9,8,11,14,15,18,24

Then you find the number in the middle and in this case that number would be 14

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Answer: $40

Step-by-step explanation:

If the worth of the stamp is double that of its original price 3 years ago ($1.25), the current price of the stamp should be $2.50. If that doubles every 3 years the answer should look something like this:

3 years: $5 (2.50X2=5)

6 years: $10 (5X2=10)

9 years: $20 (10X2=20)

12 years $40 (20X2=40)

In 12 years the stamp will be worth $40.

Answer:

1/3 is the same as 0.33...(The decimal continues on from here.)

His new balance after the check is deducted will be $370.09

From the question, we have the following parameters:

The new balance is then calculated using:

New balance = Initial Balance - Check

So, we have:

New balance = 415.01 - 44.92

Evaluate

New balance = 370.09

Hence, his new balance will be $370.09

Read more about amounts at:

https://brainly.com/question/25545513

#SPJ4

Answer:

c

Step-by-step explanation:

Answer:

c) 480

Step-by-step explanation:

Any percentage can be converted to a number ratio by dividing by 100%.

E.g. 100%/100% = 1

Following this concept, we can find the equivalent of 110% :

110%/100% = 1.1

Since 528 is 1.1 times the number we are looking for, we just need to divide 528 by 1.1 to find our number. This is because 1.1/1.1 = 1

528/1.1 = 480

Hope this helped!

Step-by-step explanation:

the square root of x squared is x.

this means the( cube root of x ) to the power of 6 is what we need

Answer:

The value of x = 3 or -1/2

Step-by-step explanation:

2x²-5x-3=0

=> 2x² - 6x + x - 3 =0

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

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

x = 3 or x = -1/2

Answer:

charlie brown chicken sandwich

Step-by-step explanation:

~Answer~
_____________________________________

1. yes ±4

2. no, it's between 9 and 4

3. no, it's between 25 and 9

4. yes ±7

5. yes ±11

6. no, it's between 81 and 64

~Step-by-step explanation~
_____________________________________

ok I'll walk you through this
1. x²=16
x = ±4 because (-4)(-4) is 16 and (4)(4) is also 16
4. x²=49
x=±7 because (-7)(-7)=49 and (7)(7) is also 49
5. x²=121
x=±11 because (-11)(-11)=121 and (11)(11)=121.

_____________________________________

Hope this helps and have a good day!

P.S. Brainliest :)

Answer:

a=646.84   c=113.04

Step-by-step explanation:

Answer:

12 teaspoons

Step-by-step explanation: