Select the correct answer.
Which number is an irrational number?

A.

B.

C.

D.

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .

The length of apothem (a) is given by:

[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

Find out more on apothem at: https://brainly.com/question/369332

Answer:

[tex]a_{n}[/tex] = 5n - 2

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₄ = 18 and a₁₀ = 48 , then

a₁ + 3d = 18 → (1)

a₁ + 9d = 48 → (2)

subtract (1) from (2) term by term to eliminate a₁

6d = 30 ( divide both sides by 6 )

d = 5

substitute d = 5 into (1) and solve for a₁

a₁ + 3(5) = 18

a₁ + 15 = 18 ( subtract 15 from both sides )

a₁ = 3

Then

[tex]a_{n}[/tex] = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2

Answer:

  1/(8b^2a^8)

Step-by-step explanation:

The given expression can be simplified using the rules of exponents.

  [tex]ba^4\times(2ba^4)^{-3}=\dfrac{ba^4}{(2ba^4)^3}=\dfrac{ba^4}{8(ba^4)^3}=\dfrac{1}{8(ba^4)^2}=\boxed{\dfrac{1}{8b^2a^8}}[/tex]

__

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Additional comment

It can be useful to think of an exponent as indicating repeated multiplication: 2^3 = 2×2×2, for example. Of course, the repeated multiplication can be nested: (4^2)^3 = (4^2)×(4^2)×(4^2) = (4×4)×(4×4)×(4×4) = 4^6

Numerator and denominator factors cancel in the usual way.

Answer:

It's friday for me so here u go

Step-by-step explanation:

Answer:

1/13

Step-by-step explanation:

Knowing that:

In a deck of card half of the deck of card are red: 1/2  

Also means 52/2 = 26

There are 2 red 10 in a deck of card.

Solve:

Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.

Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.

GCD (or HCF) of 2 and 26 is 2.

Therefore, divide both by 2.

2/2 = 1

26/2 = 13

Hence, we can see that the simplify form is 1/13.

As a result, the probability of getting a red 10 is 1/13.

~lenvy~

Answer:

y= -1/2x

Step-by-step explanation:

Option B passes through the origin, by -1/2x

Hey there!

Complementary angles add up to 90 degrees.

We are given

An angle of 79 degrees

and we're asked to find the complement of the angle.

So let's set up an equation:

79+x=90

where x=the unknown angle

Subtract 79 from both sides:

79-79+x=90-79

x=11

Hence, the measure of the unknown angle is

[tex]\boxed{\boxed{\bold{11}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningIsFun

[tex]\rule{200}{2}[/tex]

(b) 11°

The sum of two angles is equal to 90 degrees.

Here, one angle is 79°

steps:

I believe that y is equal to -5.

y=-5

The surface area of the actual ramp including the underside is 16.8 ft²

The height of the actual ramp = 1.2 feet  

The height of the model = 6 cm

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

convert the units

9 cm = 9 cm × 0.2 ft/cm = 1.8 ft

10 cm = 10 cm × 0.2 ft/cm = 2 ft

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)

= 16.8 ft²

Hence, the surface area of the actual ramp including the underside is 16.8 ft²

Learn more about the area here:

brainly.com/question/25292087

Answer:

7.2 yd² for K12

Answer:

Step-by-step explanation:

answer: (x-4)(x+5)

x^2 + x - 20

x^2 + 5x -4x -20

x^2 + 5x - 4x - 20

x(x+5) -4 (x+5)

x(x+5)-4(x+5)

(x-4)(x+5)

Answer:

yes it will

Step-by-step explanation:

28+28=56

124+56=180

a triangle consists of angles that add up to 180 degrees

Answer: Best answer gets brainliest!

Step-by-step explanation:

Add the amount of students together!

Hopefully this helps you!

-Keira

First, let's check how many 7th grade students take the bus.

On the graph, find "7th grade"

There are 90 7th grade students taking the bus.

Same with the 8th grade:-

120 students

How many 7th & 8th grade students take the bus?

The sum of the 7th grade students & the 8th grade students is your answer.

So, add:-

[tex]\sf{90+120}[/tex]

[tex]\bigstar{\boxed{\pmb{210~students}}\longleftarrow\sf{Option~B~is~correct}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

See below ↓

Step-by-step explanation:

a. Graph shown Below.

b.

domain : x ≥ 0

range : f(x) ≥ 0

c.

rate of waves:

[tex]\sf f(x) = 3.13\sqrt{x}[/tex]

the wave is 10 m above the sea

[tex]\sf f(x) = 3.13\sqrt{10}[/tex]

[tex]\sf f(x) = 9.9 \ m/s[/tex]

2 flavors and 4 scoops

total different possibilities = 2^4 = 16

answer: 16

Answer:

73+77+85+84+34+115 and the basket ball team got from the game

Answer:

It is 25.13 (simplified)

Step-by-step explanation:

3.14(pi) x 8 is 25.14

Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

To find vector v in component form, we need to know what a vector is

A vector is a physical quantity that has both magnitude and direction.

A vector can be resolved into perpendicular components along the x, y and z axis.

Since vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i

= (4cos30°)i

= (4 × √3/2)i

= 2√3i.

The y-component of v is V' = (vsin30°)j

= (4 × sin30°)j

= (4 × 1/2)j

= 2j

So, vector v in component form is v = V + V'

= 2√3i + 2j

So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

Learn more about vectors here:

https://brainly.com/question/25705666

Given that the tangent KL to the circle at point J and the interior triangles ∆JGL, and ∆JFL, we have;

C. mHJL = mJGH

D. mGHJ = mKJG

From the tangent secant interior angles measure theorem, we have;

mHJL = 0.5•mJFH

mJGH = 0.5•mJFH

Therefore;

Similarly

Learn more about the tangent and secant of a circle here:

https://brainly.com/question/25871159

Answer:

I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.

Answer:

hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation: After purchasing 21 DVDs the membership is worth the money with a total spending of 104 dollars compared to 105 dollars without the membership.

Membership: -20, -24, -28, -32, -36, -40, -44, -48, -52, -56, -60, -64, -68, -72, -76, -80, -84, -88, -92, -96, -100, -104
No Membership: 0, -5, -10, -15, -20, -25, -30, -35, -40, -45, -50, -55, -60, -65, -70, -75, -80, -85, -90, -95, -100, -105

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

How many would 2 cm represent?

[tex]x = \frac{9 \times 2}{1} = 9 \times 2 = 18[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 15000}}{\left( \cfrac{20}{100} \right)15000}\implies 30000[/tex]

Answer:

Square

Step-by-step explanation:

Requirements that make a square, a square;

Answer:

Square

Explanation:

A square has four congruent angles as each angle measure is 90°. A square can never have an angle other than 90°. A square also has all four equal sides, and its opposite side lengths are parallel because all angles of a square must be 90°.

Please look at attached image for reference.

Answer:  She observed older fossils that contained many of the same minerals as the newer ones

Step-by-step explanation:

Answer:

chaupapi

\\

Step-by-step explanation:

Answer:

w + 2.56 ≥ 10.24

Step-by-step explanation:

The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24

Answer:

r 4    3.99797

Step-by-step explanation:

Hey ! there

Answer:

Step-by-step explanation:

In this question we have given that a circle have a circumference of 25.12 . And we are asked to find the radius of the circle .

We have to solve this question with the help of circumference formula for circle that is ,

[tex] \qquad\: \quad\underline{\boxed{ \frak{{Circumference_{(Circle)} = 2\pi r}}}}[/tex]

Where ,

Solution : -

For solving the question we must have to substitute value of π , radius and then we have to equate it with given circumference that is 25.12. So ,

[tex] \longmapsto \qquad \:\: 2 \times 3.14 \times r = 25.12[/tex]

Step 1 : By multiplying 2 , 3.14 and r , We get :

[tex] \longmapsto \qquad \: \:6.28r = 25.12[/tex]

Step 2 : Dividing with 6.28 on both sides :

[tex] \longmapsto \qquad \: \: \dfrac{ \cancel{6.28}r}{ \cancel{6.28}} = \cancel{\dfrac{25.12}{6.28} }[/tex]

On further calculations, We get :

[tex] \longmapsto \qquad \: \: \pink{\underline{\boxed{ \frak{r = 4}}}}[/tex]

Verifying : -

Now we are verifying our answer by finding the circumference of circle and equating it with 25.12 and if it will equal to 25.12 then our answer is correct . So ,

Therefore our answer is correct .

Please Note : We aren't using any unit for the values because in the question no units are provided .

[tex] \frac{ - 3}{10} \times ( - 0.1)[/tex]

[tex] \frac{ - 3}{10} \times \frac{ - 1}{10} [/tex]

–3 × –4

10

[tex] \frac{12}{10} [/tex]

[tex] \frac{6}{5} answer[/tex]

Answer: 15 mins

Step-by-step explanation:

20 ÷ 8 = 2.5 (how many Mins 1 part takes)

2.5 x 6 = 15

It will take 15 minutes does it take to make 6 parts.

The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

If 8 parts take 20 minutes to make then 1 part take x time which is equal to;

[tex]\rm x=\dfrac{20}{8}\\\\x= 2.5 \rm \ minute[/tex]

One part takes 2.5 minutes.

The minutes does it take to make 6 parts are;

[tex]= 6 \times 2.5\\\\=15[/tex]

Hence, it will take 15 minutes does it take to make 6 parts.

To know more about the unitary method click the link given below.

https://brainly.com/question/13823511

#SPJ4

Answer:

D

Step-by-step explanation:

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