Santa sent Mrs. Claus $15 a month. What was the effect on his income in 4 months?​

Answer:[tex]194.8557 in^2[/tex]

The side of a regular hexagon is congruent with the radius of the circle the hexagon is inscribed with.  That makes the two triangles in red and green (lines are a bit offset for clarity) equilateral. At this point it's easy to compute the area of an equilateral triangle known the side length l, which is [tex]A = \frac12 l (l\frac{\sqrt3}2) = \frac{\sqrt3}4 l^2[/tex] At this point, the area of the shaded region of one triangle making up the hexagon is obtained by difference (area of the red triangle, minus area of the white:

[tex]A=A_r-A_w = \frac{\sqrt3}4 10^2 -\frac{\sqrt3}45^2 = \frac{\sqrt3}4(10^2-5^2)=\frac{\sqrt3}4\times 75\approx 32.47595[/tex]

The area of the whole shaded region, is 6 times that, or [tex]194.8557[/tex]

With tasselation:

Join the midpoint of the side of the external hexagon with the end points of the corresponding side of the inner hexagon. You have now created four equilateral squares which are congruent. (yes, my drawing skills are terrible)

The shaded region is made of 18 triangular tiles, each having an area of (see above formula) [tex]\frac{\sqrt3}4\times 5^2 = 18.8253[/tex], for a total of, again, 194.8557 square inch.

Answer:

pi

Step-by-step explanation:

Function is starting from 1 at 0 and then ending at 1 when x value is π.

so total period is π

Answer:

your answer is $1,022 that is the answer

Answer:

(k-1)(9k^2+1)

[tex] \qquad \huge \underline{ \boxed{\sf Answer}}[/tex]

The given angles form linear pair, so their sum equals to 180°

[tex] \qquad \dashrightarrow \sf \:x + 47 = 180[/tex]

[tex] \qquad \dashrightarrow \sf \:x = 180 - 47[/tex]

[tex] \qquad \dashrightarrow \sf \:x = 133 \degree[/tex]

I hope it helps ~

ᎪꪀsωꫀᏒ

Step-by-step explanation:

=> x+47° = 180° { linear pair }

=> x = 180°-47°

=> x = 133°

Answer:

x = 15

Step-by-step explanation:

4x + 2 + 58 + 60 = 180

4x + 120 = 180

4x = 60

x = 15

Answer:

x = 15

Step-by-step explanation:

=> (4x+2)°+60°+58° = 180° { angle sum property }

=> 4x+2+118 = 180

=> 4x +120 = 180

=> 4x = 180-120

=> x = 60/4

=> x = 15

Answer:

[tex]2*2[/tex]  ← equals 4

[tex]-4[/tex]  ← equals 0

[tex]+14[/tex]  ← equals 14  

↑ This equation means multiply 2 by itself one time, subtract 4, and add 14. Let's find the value.

Therefore,

the value is 14. Result may vary with x. There are ways to factorize this, but I did not want to confuse you. [tex]:)[/tex]

Volume:-

[tex]\\ \rm\Rrightarrow V=\dfrac{4}{3}\pi r^3[/tex]

[tex]\\ \rm\Rrightarrow V=\dfrac{4}{3}\pi (2)^3[/tex]

[tex]\\ \rm\Rrightarrow V=\dfrac{32\pi}{3}in^3[/tex]

Half volume:-

[tex]\\ \rm\Rrightarrow V=\dfrac{16\pi}{3}in^3[/tex]

Answer:

16.8 in³ (nearest tenth)

Step-by-step explanation:

Volume of a sphere

[tex]V=\dfrac43 \pi r^3[/tex]

(where V is volume and r is the radius)

Volume of a hemisphere

[tex]\textsf{Volume of a hemisphere}=\dfrac12 \ \textsf{Volume of a Sphere}[/tex]

[tex]\implies V=\dfrac12 \cdot \dfrac43 \pi r^3=\dfrac23 \pi r^3[/tex]

Given:

[tex]\begin{aligned}\implies V & =\dfrac23 \pi (2)^3\\\\ & =\dfrac{16}{3} \pi\\\\ & =16.8 \ \sf in^3 \ (nearest \ tenth)\end{aligned}[/tex]

Your distance would be [tex]\sqrt{146}[/tex]

Answer: 8 people in total

Step-by-step explanation:

If you have two friends at a party and they invite two friends that is 4 people if another two people invited two more people that’s another 4 people add 4 and 4 8 people were invited in total

120 of the 720 students travelled on foot

A pie chart is a graph or chart that graphically represents data in a circle with each pie slice showing the size of data.

From the pie chart attached, the proportion of students that walked is 60°, hence for 720 students:

Number of those who travelled on foot = (60 / 360) * 720 = 120

120 of the 720 students travelled on foot

Find out more on pie chart at: https://brainly.com/question/25796636

Answer:

Year 2

Step-by-step explanation:

have a great day !!!

Answer:

y=(2/3)×-4

Step-by-step explanation:

4y(8/3)×-16 <-----divides everything by 3

Answer:

a≈9.06

Step-by-step explanation:

Using the formula

A=a2

Solving fora

a=A=82≈9.05539

Hello!

Formula for the Area of a Square:

[tex]\bf{A=a^{2}[/tex]

A = area

a = the length of a side of a square

Since we have the area, all we have to do to determine the side length is take the square root of both sides:

[tex]\bf{\sqrt{82} =\sqrt{a^{2} }[/tex]

Solve:

[tex]\bf{\sqrt{82} =a[/tex]

[tex]\bf{a=\sqrt{82}[/tex]

[tex]\bf{a=9.06}[/tex]

Final Answer:

a≈9.06

I hope it helps you.

Good luck and enjoy your day!

-SnowFlake

Answer:

[tex]x = 16[/tex]

That's your answer

Answer:

5x/_6 =_40/3(cross product)

after,15x/15=240/15

x=16

Answer:

[tex]\left \{ {{x=\frac{4496}{3} } \atop {y=-\frac{3596}{3} }} \right.[/tex]

Step-by-step explanation:

Solve: [tex]x+y=300\\12x+15y=4\\12x+15y=4[/tex]

   ↓

[tex]x=\frac{4496}{3}\\y=-\frac{3596}{3}[/tex]

I hope this helps you

:)

Answer:

m/s

Step-by-step explanation:

distance d is measured in meters (m)

time t is measured in seconds (s)

⇒ s = d/t

⇒ s = m/s

Answer:

Step-by-step explanation:

Like terms have same variable with same exponent

[tex]\dfrac{-4}{7}p+(\dfrac{-2}{7}p)+\dfrac{1}{7}= \left(\dfrac{(-4)+(-2)}{7} \right)p+\dfrac{1}{7}[/tex]    

                              [tex]=\dfrac{-6}{7}p+\dfrac{1}{7}[/tex]

let the exterior angle be x

x=60°+80°(being one exterior angle is equal to two interior angle)

x°=140°

Answer:

Step-by-step explanation:

Answer:

use pythag theorum you get 11.7 i thinkkk

Step-by-step explanation:

Try creating a triangle using the length of x and the length of y, so, you can tell the line goes from -5 to 5 on the x axis so that means its 10 long on x and 0 to 6 on y axis so its 6 long on y... then create a triangle and use the pythagorean theorem (the square root of (10 squared + 6 squared) which is around 11.7 .... i think, hope that helps! -prowl

SORRY THIS IS MY FIRST TIME ANSWERING A QUESTION ON HERE. I PUT IT IN THE WRONG PLACE THE FIRST TIME LOL

[tex]\\ \rm\hookrightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{-5\pm\sqrt{25+32}}{4}[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{-5\pm\sqrt{57}}{4}[/tex]

Answer:

First equation:  y = -2x

Second equation: y = 3 - x

Solution:  (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10)  (-1, 2)  (0, 0)  (11, -22)

Table 2

(-8, -11)  (-2, -5)  (1, -2)  (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

[tex]\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}[/tex]

[tex]\textsf{point-slope form : }y-y_1=m(x-x_1)[/tex]

Equation 1

[tex]\textsf{slope }m=\dfrac{2-10}{-1+5}=-2[/tex]

[tex]y-0=-2(x-0)\\\\\implies y=-2x[/tex]

Equation 2

[tex]\textsf{slope }m=\dfrac{-5+11}{-2+8}=1[/tex]

[tex]y+11=1(x+8)\\\\\implies y=x-3[/tex]

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

The equations are given as follows:

An equation is a combination of expressions that are equal to each other.

The ordered pairs of the tables are as follows:

Table 1:

(-5, 10), (-1, 2), (0, 0), (11, -22)

Table 2:

(-8, -11), (-2, -5), (1, -2), (7, 4)

To obtain the first equation, pick any two ordered pairs.

The slope of the equation is given as:

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

Let's pick ordered pairs (-1, 2) and (0, 0) to find the slope of the equation.

Then,

[tex]m = \dfrac{0-2}{0-(-1)}\\m = \dfrac{-2}{1}\\\\m = -2[/tex]

So, the first equation in the point-slope form is given as follows:

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

Substitute [tex](x_1,\ y_1)[/tex] by (0, 0) and m by -2,

y - 0 = -2(x - 0)

y = -2x

Similarly, the slope of the second equation is obtained as follows:

[tex]m = \dfrac{-5-(-11)}{-2-(-8)}\\m = \dfrac{6}{6}\\\\m = 1[/tex]

So, the second equation in the point-slope form is given as follows:

y - (-11)  = 1(x - (-8))

y + 11 = x + 8

y = x - 3

To solve this system of equations, let's equate the right-hand sides of both equations:

-2x = x - 3

-2x -x = -3

-3x = -3

x = 1

Substitute this value of x in the first equation,

y = -2 × 1

y = -2

So, the solution is (1, -2).

Therefore, the blanks are filled in by the numbers -2 and 3. The solution of the system of equations is (1,-2).

Learn more about Equations here:

https://brainly.com/question/28953876

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Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Separate into Case 1 and Case 2:

Case 1: We want a yellow marble

There is only 1 yellow marble out of the 6 marbles.

Probability for a yellow marble = [tex]\frac{1}{6}[/tex]

Case 2: We want a blue marble

There is only 1 blue marble out of the 5 marbles remaining. (We took 1 yellow marble out already)

Probability for a yellow marble = [tex]\frac{1}{5}[/tex]

Multiply Case 1 with Case 2 because they are a combination:

[tex]\frac{1}{6} *\frac{1}{5} =\frac{1}{30}[/tex]

Answer:

The length of one of the sides would be 5 in.

Step-by-step explanation:

Every cube has 6 faces. Each of those faces is a square.

Since all the sides of a square are equal, we can figure out the length of one of them by looking at the area.

The area of the square is 25 square inches.

The formula to find the area is length times width or l · w

Since all of the sides have to be equal, we just have to find a number that can be multiplied by itself to get 25.

Well, 5 can be multiplied by itself to get 25.

5 x 5 = 25

So, the length of one of the sides would be 5 inches.

well These are the Images on how to add decimals.

Answer:

$162,000

Step-by-step explanation:

4.5 of 120,000 is 5400

multiply 5400 by 30 and you get your answer.

Answer:

UR IC IS TOO BLURRY

Step-by-step explanation: