Which ones are the answers?

9514 1404 393

Answer:

  779.4 square units

Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...

  A = (1/2)r²sin(α)

Since there are n such triangles, the area of the n-gon is ...

  A = (n/2)r²sin(360°/n)

__

For a hexagon (n=6) with radius 10√3, the area is ...

  A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units

Given:

The two endpoints of a vector are P = (2, 9) and Q = (4, 14).

To find:

The component form and magnitude of vector PQ .

Solution:

A vector is defined as

[tex]v=\left<x_2-x_1,y_2-y_1\right>[/tex]

Where, [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point.

Two endpoints of a vector are P = (2, 9) and Q = (4, 14). So, the vector PQ is

[tex]\overrightarrow{PQ}=\left<4-2,14-9\right>[/tex]

[tex]\overrightarrow{PQ}=\left<2,5\right>[/tex]

Component form of vector PQ is [tex]\left<2,5\right>[/tex].

The magnitude of a vector [tex]v=\left<a,b\right>[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of vector PQ is:

[tex]|\overrightarrow{PQ}|=\sqrt{2^2+5^2}[/tex]

[tex]|\overrightarrow{PQ}|=\sqrt{4+25}[/tex]

[tex]|\overrightarrow{PQ}|=\sqrt{29}[/tex]

Therefore, the correct option is A.

Answer:

Answer is D

Step-by-step explanation:

Answer:

function is f(x) = x+6

and the missing outputs are 19, 24 and 27

Answer:

See explanation below

Step-by-step explanation:

The slope for f(x) is 6, meaning that you for each one x-unit you move, the plot goes up 6 y-units.

This is the same for g(x) but the slope is negative, so the line needs to face downwards. For each one x-unit you move, the plot goes down 6 y-units.

After drawing the two lines, you find that the transformation is a reflection because the lines are perpendicular to each other. They have the same slope, but in different directions.

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 3x - 3 ← equation of line

Answer:

9x-4=12x-55.....

as they are vertically opp angles

9x-12x= -55+4

-3x= -51

x= 17

Answer:

-42≥-6b

7≤b

The only answer that fits this inequality is 8 1/4, the last choice.

Let me know if this helps!

Answer:

Let the length of missing side x.

x^2 = 16^2 + 30^2

x^2 = 1156

x = √1156

x = 36

Step-by-step explanation:

Hope it is helpful....

Answer:

Step-by-step explanation:

x ² = 16² +30²

x ² = 1156

x = √1156

x =34

Answer: sin

Step-by-step explanation:

Answer:

x = -5/2

Step-by-step explanation:

Answer and Step-by-step explanation:

What the question is asking is that it wants you to make the equation show equal to n.

We can do that by dividing both sides by RT, to get n by itself.

[tex]PV = nRT\\\\\\\frac{PV}{RT} = n[/tex]⇔ This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

Rs. 200

Step-by-step explanation:

Formula: PTR/100

P=Rs.5000

T=8 years

R=5%

Interest = PTR/100

= (5000 x 8 x 5)/100

= Rs.200

Answer:

2000

Step-by-step explanation:

I=P×R×T

=5000×5/100×8

=25000×8

=200,000/100

=2000

Answer:

111

like add 14 to 18 to find y value

making 32

32+5 that's 37

multiply 3 and 37

111

that ur answer

Answer:

5+5=10 :D

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Answer:

145.8cm squared

Step by step:

16.2 divided by 3 = 5.4cm

In the second line where 2 bricks are horizontal and 2 are vertical:

2x + 3y = 16.2

3y = 16.2 - 2 x 5.4

y = 1/3 x 5.4

y = 1.8cm

Hence, height and length of each triangle is 1.8cm and 5.4cm

Complete length = 16.2 cm

Complete height = 2y + x = 2 x 1.8 + 3.4

                            = 9 cm

Area overall = 16.2 x 9 = 145.8cm squared

Answer:

Step-by-step explanation:

.05c+.1b>80, if 480 cans were collected

.05(480)+.1b>80

24+.1b>80

.1b>56

b>560

So the minimum number of bottles collected is 561

Answer:

possblie awnser is 1:Possible answer for Triangle 1: m∠A = 70°; m∠B = ∠55°; m∠C = 55°.

The compass marks equal lengths on both sides of ∠A; therefore, AB

Step-by-step explanation:

Answer:

m<M =100 M<N=60 m<p=20

Step-by-step explanation:

£40 and £20

Step-by-step explanation:

let the parts be 2x and x (2:1)

2x+x=£60

or, 3x= £60

or, x= £20

2x=2×£20=£40

x=£20

Answer:

Step-by-step explanation:

800

2x400

     2x200

            5x40

                5x8

                    2x4

                        2x2

2^4x5^2

Answer:

6/8≤m

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

-7/8≤m-13/8

+13/8    +13/8

6/8≤m

Answer:

answer m≥3/4 it is simplified form of 6/8

Step-by-step explanation:

thank i hope that help

Step-by-step explanation:

x equals 40

.... good luck!

Answer:

n= 6. hope this helped as I tried my best.

Step-by-step explanation:

2³ × 2^n = 2⁹