What is the midpoint of the longest side of the triangle with vertices (1,4),(3, 4), and (3, 6)?
A, (1, 1)
B, (2, 4)
С, (2,5)
D,(3,5) ​

Answer:

4.77

Step-by-step explanation:

because Circumference can be found with this equation

C = 2piR

we need to plug in 15 for Circumference and solve for its radius or R.

15 = 2piR

15/2pi = R

but we need diameter which is 2R so we just need to multiply the answer by 2.

15/2pi × 2 = Diameter

15/pi = D

approximately = 4.77

Answer:

4th option

Step-by-step explanation:

The factors of a³ + b³ are

a³ + b³ = (a + b)(a² - ab + b² )

Answer:

4th option

Step-by-step explanation:

Answer:

Now they have $55 in total left

Step-by-step explanation:

Answer:

35

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

19 + 4n

n = 4

Step 2: Evaluate

Answer:

[tex]y = -x + 115[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

The equation of best fit

First, we pick two corresponding points on the graph,

We have:

[tex](x_1,y_1) =(55,60)[/tex]

[tex](x_2,y_2) =(45,70)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{70 - 60}{45 - 55}[/tex]

[tex]m = \frac{10}{-10}[/tex]

[tex]m = -1[/tex]

The equation is the calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -1(x - 55) + 60[/tex]

Open bracket

[tex]y = -x + 55 + 60[/tex]

[tex]y = -x + 115[/tex]

Answer:

8 cm wide.

Step-by-step explanation:

5440/34/20=8 .

Answer:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

Step-by-step explanation:

The function has the form:

g(x) = a*sin(b*x + c) + d

We know that:

The midline is at (-1, 6)

The midline is the value of g(x) when the sin(x) part is equal to zero

Then the midline is y = 6 = d

g(x) = a*sin(b*x + c) + 6

And from this we also know that:

sin(b*-1 + c) = 0,

We also know that the minimum is at (-3.5, 3)

The minimum is the y-value when the sin(x) part is equal to -1

Then

sin(b*-3.5 + c) = -1

And:

g(-3.5) = 3 = a*(-1) + 6

3 = -a + 6

a = -3 + 6 = 3

The equation is something like:

g(x) = 3*sin(b*x + c) + 6

To find the values of b and c, we need to use the two remaining equations:

sin(b*-3.5 + c) = -1

sin(b*-1 + c) = 0

We also know that:

Sin(0 ) = 0

sin( (3/2)*pi) = -1

where pi = 3.14

Then we can just write:

b*-1 + c = 0

b*-3.5 + c = (3/2)*pi

From the first one, we get:

-b + c = 0

c = b

Replacing that on the other equation we get:

c*-3.5 + c = (3/2)*pi

c*(-3.5 + 1) = (3/2)*pi

c*(-2.5) = (3/2)*pi

c = (3/2)*pi/(-2.5)

and:

-2.5 = -5/2

c = (3/2)*(-5/2)*pi = (-15/4)*pi

Then the equation becomes:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

The  trigonometric function equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]

The function has the form:

             [tex]g(x)=a sin(bx+c)+d[/tex]

The midline is at (-1, 6)

So, the midline is y = 6 = d

[tex]g(x)=a sin(bx+c)+6[/tex]

We know that the midline is the value of g(x) when the sin(x) part is equal to zero

Given that The function intersects its midline at (-1,6) and has a minimum point at (-3.5,3).

[tex]sin(-1*b + c) = 0,[/tex]

The minimum is the y-value when the sin(x) part is equal to -1

       [tex]sin(-3.5*b + c) = -1[/tex]

  Since,   [tex]g(-3.5) = 3 = a*(-1) + 6[/tex]

                 [tex]a = -3 + 6 = 3[/tex]

Now equation become,

            [tex]g(x) = 3*sin(b*x + c) + 6[/tex]

To find the values of b and c, we need to use the two remaining equations:

             [tex]sin(-3.5b + c) = -1=sin( (3/2)* \pi)\\\\ -3.5b + c = (3/2)* \pi[/tex]

            [tex]sin(-1b + c) = 0=sin(0)\\\\-b+c=0\\\\b=c[/tex]

Substituting b = c in above equation and [tex]\pi=3.14[/tex]

We get,

            [tex]-3.5c + c = (3/2)*\pi\\\\-2.5c=4.71\\\\c=-1.88[/tex]

also    [tex]b=-1.88[/tex]

Therefore, equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]

Learn more:

https://brainly.com/question/13729598

Answer:

12.5 is your answer buddy

Answer:

Step-by-step explanation:

So, lets think of this a simpler way.

What is 1/2 of 50?

Well, thats 25. That is 50%. We want 25%, which is 1/4 of 50.

So lets divide the 25 we got in half:

25/2

=

12.5

So this is your answer!

Hope this helps!

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Circle Center Formula: (x - h)² + (y - k)² = r²

Step-by-step explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation

Step-by-step explanation:

[tex]\huge\mathcal\pink{here \: is \: your \: solution..} \\ \\ equation = > y = - 8x - 49 \\ \\ = > y = - x \\ \\ put \: the \: value \: of \: y \: in \: equation \\ \\ - x = - 8x - 49 \\ \\ - x + 8x = 49 \\ \\ 7x = 49 \\ \\ x = 49 \div 7 \\ \\ x = 7 \\ \\ now \: \: \: y = - 7 \\ \\ \huge\mathfrak\green{hope \: it \: helps.} \\[/tex]

Answer:

A. y = -3/2x + 9

Step-by-step explanation:

In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.

Answer:

a

Step-by-step explanation:

any two points on the line are

(0,9 ) and (4,3)

slope=(3-9)/(4-0)=-6/4=-3/2

y intercept is 9

so eq. of line is y=-3/2x+9

Answer:

The area of the plate is 47.78

Step-by-step explanation:

Given:

Circumference of a circular plate = 24.5 inches.

To FInd:

Area of the circular plate

Solution:

By the formula of circumference

Circumference of a circular plate = 2πr

Where 'r' = radius of the plate

24.5 = 2[tex]\pi r[/tex]

r = [tex]\frac{24.5}{3.14 * 2}[/tex]  [Since π = 3.14]

r = 3.90 inches

We know the formula of a circular plate is,

Area =  πr²

Therefore, A = (3.14)(3.90)²

A = 47.79 square inches

Therefore, area of the circular plate is 47.79 inches.

Answer:

a. 3/10

b. 25 people

Step-by-step explanation:

a. 12/40

simplify

3/10

b. 40 people so multiply everything by 5

5 x 5 =25 people

Answer:

a) 30%   & b) 25

Step-by-step explanation:

16+7+5+12 = 40

a) 12/40 = 0.3 = 3%

b) 5/40 = .125

    200 x .125 = 25

Answer:

z²¹ is the correct answer dude

Answer:

z²¹ would be your answer. hope this helped!!!!

Step-by-step explanation:

Answer:

$223.21

Step-by-step explanation:

Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.

This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.

112% of x = 250

1.12x = 250

x = 250/1.12

x = 223.21

Answer: $223.21

Answer:

The lines intersect at a right angle

Step-by-step explanation:

Answer:

4 l

the total ml of milk for 20 people is 4000ml and not 400 ml. 4000ml converted to litres is 4l

Step-by-step explanation:

total amount of milk for 20 people = 200 x 20 = 4000ml

1000 ml = 1 liter

4000ml /1000 = 4 l

Answer:

yeah this easy [tex]a^{2} +b^{2} =c^{2} \\leg leg hypotnuse[/tex]

a is a leg

b is a leh

c is a hypotnuse

Step-by-step explanation:

Answer:

at first subtract the remainders from the corresponding given number

Answer:

44.1

Step-by-step explanation:

Cosine = Adjacent over Hypotenuse

Adjacent of ∠T = 28 and hypotenuse = 39

Which means that  [tex]cos(x)=\frac{28}{39}[/tex]

Now we solve for x

To get rid of the "cos" we take the inverse of cos ( which is [tex]cos^-^1[/tex] ) and apply it to each side

[tex]cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855[/tex]

We're left with x = 44.11461855

Our last step is to round to the nearest tenth and we get that the answer is 44.1

Answer:

242

Step-by-step explanation:

Circles have a total of 360°

mDBG does not include mBA or mGA

This means that mDBG = 360 - ( mBA + mGA )

mBA = 28° ( this is given )

mGA = 90° ( this is also given; it's indicated by the right angle )

Thus, mDBG = 360 - ( 28 + 90 )

28 + 90 = 118

mDBG = 360 - 118

360 - 118 = 242

Hence, mDBG = 242

Answer:24

Step-by-step explanation:6 x 8 = 48 divied by 2 = 24

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex] \frac{6(12 - 4)}{2} \\ = \frac{6(8)}{2} \\ = \frac{48}{2} \\ = 24[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

x² + y² - 8x -14y - 105 = 0

Step-by-step explanation:

The centre of the circle is (-7,0) and the radius is (4,7) . Firstly let's find the radius using Distance formula .

=> D = √{ (-7-4)²+(0-7)²}

=> D = √ 11² + 7²

=> D = √ 121 +49

=> D = √170

Now using the standard equation of circle ⭕ ,

=> ( x - h)²+(y-k)² = r²

=> ( x - 4)²+(y-7)²= (√170)²

=> x² + 16 -8x + y² + 49 -14y = 170

=> x² + y² -8x -14y = 170 -65

=> x² + y² - 8x -14y - 105 = 0

Answer:

15 ft^3

Step-by-step explanation:

Sand needed can be determined by calculating the volume of a pyramid

Volume of a pyramid = 1/3 x ( length base x height)

1/3 x ( 4.5 x 4 x 2.5) = 15 ft^3

Answer:

0.1

Step-by-step explanation:

Answer:

0.4 ÷ 4 = 0.1

Explanation:

Answer:

{aUb}' = {4, 12, 16}

Step-by-step explanation:

GIven S= { 2,2,4,6,8,8,8,10,10,12,14,16,16,16,16,18,18,20}

a= { 2,6,8,8,10,18}

b = { 2,8,10,14,18,20}

Required

(aUb)'

aUb = {2, 6, 8, 10, 14, 18, 20}

{aUb}' are values of the set S that are not in aUb. The required values are;

{aUb}' = {4, 12, 16}