The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answer:

The formula for the circumference of a circle is  

2

π

r

so all we have to do is plug in 5 for our radius:  

2

π

(

5

)

which can be simplified to  

10

π

.

Step-by-step explanation:

Answer:

36 boys

Step-by-step explanation:

36+6= 42

Answer:

Step-by-step explanation:

First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)

Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major

Answer:

Step-by-step explanation:

Find either c or d first. Those are easy and everything will fall into place after those 2 are found.

c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.

d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.

a and c are same side interior, so they are also supplementary. That means that a = 115°.

b and d are also same side interior, so they are also supplementary. That means that b = 70°.

Answer:

the third side is 5 2/3 in.

s - 1

Step-by-step explanation:

a = side 1

b = side 2

c = side 3

a + b + c = 15

a = b - 4 => b = a + 4

c = a + 3

a + a + 4 + a + 3 = 15

3a + 7 = 15

3a = 8

a = 8/3 = 2 2/3 in

b = a + 4 = 6 2/3 in

c = a + 3 = 5 2/3 in

Answer:

10.28

Step-by-step explanation:

Using ratio

12 : 9

8 :x

Crose multiple

12x = 72

Make x subject formula

x = 10,28

Answer:

x=7; NL=12; NP+20

Step-by-step explanation:

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

Answer:

ol so polygon all sum is 540

we know that pentagon of 5 sides always has sum 540

so 5x = 540

x = 108

as per me ...

Step-by-step explanation:

X

[tex]xx - xxyy - yy = 8[/tex]

Answer it should be 72° as the figure is a 5 fold.

360/5 = 72

Angle of rational symmetry is 72°

Must click thanks and mark brainliest

The graph is shown in the attachment below

From the graph, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x = -1.2 and x = 1.7

From the picture, we are to draw the graph of the function

[tex]y = -\frac{4}{x}[/tex] for the range of values [tex]-3\leq x\leq 3[/tex] (that is for values of x from -3 to 3)

First we will create the table of values for the function

Table of values for the function [tex]y = -\frac{4}{x}[/tex]

x y

-3 1.33

-2 2

-1 4

0 Undefined

1 -4

2 -2

3 -1.33

(Shown better in the docx attachment)

The graph for the function [tex]y = -\frac{4}{x}[/tex]  (purple lines) is also shown in the attachment.

To use the graph to solve the equation [tex]\frac{4}{x}-2x+1=0[/tex]

We will rewrite the equation so that it takes the form [tex]y = -\frac{4}{x}[/tex]

From [tex]\frac{4}{x}-2x+1=0[/tex]

Then, [tex]-2x+1= -\frac{4}{x}[/tex]

∴ [tex]y = -2x+1[/tex]

Hence, we will plot the graph for the function [tex]y = -2x+1[/tex] on the same graph and the points of intersection gives the solution.

The function is a linear equation

The points of intersection on the x and y axes (x-intercept and y-intercept) are enough to plot a straight line graph as shown in the table below as well as in the graph

x y

0 1

0.5 0

(Shown better in the docx attachment)

The straight red lines in the graph shows the plot for the function [tex]y = -2x+1[/tex]

From the graph, the points of intersection are -1.2 and 1.7

Hence, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x= -1.2 and x = 1.7

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Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.

Step-by-step explanation:

Answer:

Mathematics is like the study of numbers and relationships I guess.

Step-by-step explanation:

All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.

Basic Arthimetics seems to use ratios when counting, or patterns, ect.

Answer:

the function is a y-intercept

Step-by-step explanation:

y=mx+b is the slope intercept formula, m being the slope and b being the y-intercept, meaning y=b, so b=-9/4.

Because it says y=-9/4, we can assume that m, or the slope equals 0.

so when you plug it in, you get

y=0x-9/4

y=-9/4

Answer:

Step-by-step explanation:

1. arc length

2. semicircle

3. minor arc

4. arc measure

5. circumference

6. radius

7. diameter

HOPE THIS HELPS

Answer:arc length

2. semicircle

3. minor arc

4. arc measure

5. circumference

6. radius

7. diameter

Step-by-step explanation:

Hello,

Answer: 2.5 (rad)

[tex]L=\theta*R\ \\\\\Longrightarrow\ \theta=\dfrac{L}{R} =\dfrac{30}{12} =2.5 (rad)\\[/tex]

Answer:

D

Step-by-step explanation:

your function is not very clear but I'm assuming it's 2 multiplied by 7^x

first let y be equal to the function

to find the range interchange x and y and make the subject

at some point you'll have to use logarithm to get rid of the exponent

only log of positive numbers numbers exist hence y must be greater than 0

Answer:

add -5

Step-by-step explanation:

hope it helps!!!!!

Answer:

[tex]{ \bf{b. \: \: {i}^{47} }}[/tex]

Step-by-step explanation:

[tex] {i}^{46} = ( {i}^{2} ) {}^{23} = - 1 \\ \\ {i}^{47} = (i)( {i}^{46} ) = ( - 1 \times i) = - i \\ \\ {i}^{48} = ( {i}^{2} ) {}^{24} = 1 \\ \\ {i}^{49} = (i)( {i}^{48}) = (1 \times i) = i[/tex]

Answer:

[tex]i^{46} = -i[/tex]

~~~~~~~~~~~~~~~~~~~

46/4 = 11 remainder 2 = [tex]-i[/tex]

47/4 = 11 remainder 3 = 1

48/4 = 11 remainder 0 =  [tex]i[/tex]

49/4 = 11 remainder 1 = -1

Step-by-step explanation:

[tex]i = \sqrt{-1} = i[/tex]  (remainder 0)

[tex]i^{2} = \sqrt{-1} * \sqrt{-1} = -1[/tex] (remainder 1)

[tex]i^{3} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * \sqrt{-1} = -i[/tex] (remainder 2)

[tex]i^{4} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * -1 = 1\\[/tex] (remainder 3)

[tex]i^{5} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}* \sqrt{-1}= 1 * \sqrt{-1} = i\\[/tex] (remainder 0)

The pattern repeats every FOUR in the exponent

Answer:

for binary 101111010001. for octal 5721. for base 5 - 44100

Answer:

dalam rajah 1 and read the full q that is the ans

Answer:

x = 91° , y = 52°

Step-by-step explanation:

Opposite angles add up to 180°.

Therefore :

1. x° + 89° = 180°

x° = 180° - 89°

x° = 91° #

2. 76° + 2y° = 180°

2y° = 180° - 76°

2y° = 104°

y° = 104° / 2

y° = 52°#

Answer:

Always

Step-by-step explanation:

Bisects means to divide in half

90/2 = 45

So the angles are each 45 degrees

Answer:

9π meters

Step-by-step explanation:

SInce 6π is the circumference of the circle, 6π would be the diameter.

We need to then convert 6π into the radius which we can do by dividing 6π by 2 to get 3π.

The formula for the area of a circle is πr^2. Plug in the previous result for the radius to get the following:

π3^2

9π

Answer:

Area=9π m²

Step-by-step explanation:

Hi there!

We are given that the circumference of a circle is 6π meters, and we want to find the area of the circle

The formula to find the circumference of a circle is 2πr, where r is the radius

The formula to find the area of a circle is πr², where r is the radius

So we need to find the radius

As 6π and 2πr both equal the circumference of the circle, 6π is equal to 2πr. This is possible by a property known as  transitivity (if a=b and b=c, then a=c) .

As an equation, the result is:

6π=2πr

Divide both sides by 2π

3=r

So the radius is 3 meters

Now, substitute 3 as the radius in πr² to find the area

A=πr²

A=π(3)²

Raise 3 to the second power, which is the same as multiplying it by itself

A=π*9

A=9π m²

Hope this helps!

Answer:

Karen jogged 2.32 kilometers more than Morgan.

Step-by-step explanation:

Calculate the difference:

53.52 - 51.2 = 2.32

Answer:

2.32 km

Step-by-step explanation:

Take the amount that Karen jogged and subtract the amount that Morgan jogged

53.52 - 51.2

2.32

Answer:

(28 buses) 932 divided 27 remainder of 14 rounding up to 28.

Step-by-step explanation:

Answer:

a = 20; b = 10sqrt(3)

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

b = 10 * sqrt(3)

b = 10sqrt(3)

a = 2(10)

a = 20

Answer: a = 20; b = 10sqrt(3)

Answer:

a=20,[tex]b=10\sqrt{3}[/tex]

Step-by-step explanation:

SOH-CAH-TOA

Tan = O/A

Tan(60)= b/10

[tex]b=10\sqrt{3}[/tex]

Cos = A/H

cos(60) = 10/a

a=20

Answer:

ok I really suck at math, but I think you may have to multiply the x/y to get the whole area of the circle. so maybe itd be 10x25. I'm sorry if this isnt correct

Answer:

b:4,5

Step-by-step explanation:

Answer: 6.4

Step-by-step explanation:

Use the distance formula-[tex]\sqrt{(x_{2}-x_{1}) +(y_{2} -y_{1} \\[/tex]

Fill formula and solve-

[tex]\sqrt{(-4-0)^2+(6-1)^2[/tex]

[tex]\sqrt{ (-4)^2+(5)^2[/tex]

[tex]\sqrt{ 16+25[/tex]

[tex]\sqrt{41[/tex]

[tex]\\6.4031[/tex]

[tex]6.4[/tex]

Answer:

38 cups

Step-by-step explanation:

8c + 30 = 334

8c = 334 - 30

8c = 304

c = 304 ÷ 8

c = 38 cups

The total number of cups ordered by Eddie is 8

Design fee = $30

Cost per cup = $8

Total cost of order = $334

Let the number of cups ordered = p

The total cost of order can be represented by the equation :

Design cost + (cost per order × Number of orders)

$30 + (8p) = $334

8p = 334 - 30

8p = 304

p = 303 / 8

p = 38

Hence, the number of cups ordered is 8

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