Explain how you determined your answer.

Answer:

one side = [tex]\frac{a\sqrt{2}}{2}[/tex]

Step-by-step explanation:

if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.

Let's say TP = a

since it's a regular octagon, TP = HT

and using the Pythagoras Theorem,  we know a² + b² = c² and thus:

√(AT² + HA²) = HT

and since AT = HA which we will call x, the equation becomes:

√(2x²) = HT = a

rearrange the equation to solve for x and you get:

2x² = a²

x² = [tex]\frac{a^{2} }{2}[/tex]

x = [tex]\frac{a}{\sqrt{2}}[/tex]

which, if you rationalise the denominator, you get:

x = [tex]\frac{a\sqrt{2}}{2}[/tex]

Answer:

d is the answer

Step-by-step explanation:

ILJ and JKI

Answer:

-2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

The answer is 346.185 if its diameter is 22.

Answer:

The airplane would starts its descent from an altitude 500 feet lower.

Step-by-step explanation:

The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.

Answer:

1) 243 in.²

Step-by-step explanation:

1)

A = 18 in. * 18 in. - 9 in. * 9 in. = 243 in.²

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

If you add 8 on each side to get x by itself you'll get

x=6

Answer:

Step-by-step explanation:

Square

519450.2

Holes

Semi-circle: 1/2*pi*r^2

diameter = 700/2 = 350 =radius

1/2*pi*350 = 175*pi

Triangle

1/2 b*h

1/2 200*400

100*400

40000

Take out the semi circle and triangle

560000-40000-175*pi

520000-175*pi = 519450.2

Answer:

1. Sine θ = 1/3

2. Cos θ = 2√2 / 3

3. Tan θ = √2 / 4

4. Cosec θ = 3

5. Sec θ = 3√2 / 4

6. Cot θ = 2√2

Step-by-step explanation:

We'll begin by determining the adjacent. This can be obtained as follow:

Hypothenus (Hypo) = 9

Opposite (Opp) = 3

Adjacent (Adj) =?

Hypo² = Adj² + Opp²

9² = Adj² + 3²

81 = Adj² + 9

81 – 9 = Adj²

72 = Adj²

Take the square root of both side

Adj = √72

Adj = 6√2

Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:

1. Determination of Sine θ

Hypothenus = 9

Opposite = 3

Sine θ =?

Sine θ = Opposite / Hypothenus

Sine θ = 3/9

Sine θ = 1/3

2. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 9

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 9

Cos θ = 2√2 / 3

3. Determination of Tan θ

Opposite = 3

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 3 / 6√2

Tan θ = 1 / 2√2

Rationalise

(1 / 2√2) × (2√2 /2√2)

= 2√2 / 4×2

Tan θ = √2 / 4

4. Determination of Cosec θ

Sine θ = 1/3

Cosec θ =?

Cosec θ = 1 / Sine θ

Cosec θ = 1 ÷ 1/3

Cosec θ = 1 × 3/1

Cosec θ = 3

5. Determination of sec θ

Cos θ = 2√2 / 3

Sec θ =?

Sec θ = 1 / Cos θ

Sec θ = 1 ÷ 2√2 / 3

Sec θ = 1 × 3 / 2√2

Sec θ = 3 / 2√2

Rationalise

= (3 / 2√2) × (2√2 / 2√2)

= 3 × 2√2 / 4×2

Sec θ = 3√2 / 4

6. Determination of Cot θ

Tan θ = √2 / 4

Cot θ =?

Cot θ = 1 / Tan θ

Cot θ = 1 ÷ √2 / 4

Cot θ = 1 × 4 / √2

Cot θ = 4 / √2

Rationalise

= (4 / √2) × (√2 / √2)

= 4√2 / 2

Cot θ = 2√2

Answer:

if im reading it right its 8.3521

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

i used the points (0,-2) and (3,-1) to find the slope:

(-2--1) / (0-3) = -1/-3 or 1/3

Answer:

Volume = 200.96 cm³

Step-by-step explanation:

r = 4/2 = 2

Volume = πr²h = (3.14)(2²)(16) = 200.96 cm³

Good luckvsvsvsbsbsjsjhsbsbsbsb

Answer:

Andre scored 14 points

Step-by-step explanation:

D = A - 9

N = 2D = 10

2D = 10

D = 5

5 = A - 9

14 = A

Answer:

Diego scored 14 points

x = 14

Answer:

Decimal Form: 1.3

Exact Form: 13/10

Mixed Number Form: 1 3/10

Step-by-step explanation:

1 pint = 2 cups

Convert the mixed fraction into an improper fraction. 2 3/5 = 13/5 cups

You divide 13/5 by 2, since there are 2 cups in one pint, and you are trying to get pints. 13/5 divided by 2:

Decimal Form: 1.3

Exact Form: 13/10

Mixed Number Form: 1 3/10

Step-by-step explanation:

hope it helps.

Answer:

x = 30, 150, 210, 330 degrees.

Step-by-step explanation:

(sin x)^2 = 1/4

sin x = +/- √1/4

sin x = +/- /2

In the first quadrant  x =  angle whose sine is 1/2 = 30 degrees.

There is also a solution in the other 3 quadrants.

In second quadrant  where sine = 1/2  , x = 180-30 = 150 degrees,

In 3rd and 4th where sine x = -1/2 the angles are 210 and 330 degrees.

Answer:

Step-by-step explanation:

The exponential piece is to the left, and starts at -2. So all its x values are less than or equal to -2

Answer:

it's D you are very welcome :)

Answer:

(1.5,1) is the coordinate for point D

Answer:

point D = (1.5,2)

Step-by-step explanation:

The first number in the parentheses is the X coordinate, in this case it's 1.5

The first second in the parentheses is the Y coordinate, in this case it's 2

Answer:

BLUEE

Step-by-step explanation:

IM HOPING THIS IS CORRECT

Answer:

Plan ahead for medical expenses.

Spend your money.

Save your receipts.

Use your FSA to pay expenses your health plan doesn't cover.

Use your FSA to reach health plan financial milestones.

Know what your FSA covers.

Know your FSA balance.

Step-by-step explanation:

Answer:

Okay so I just took the FSA and my biggest tip is  to just relax and don't overthink. Another tip that is kinda weird is to  chew gum/mint. They normally hand it out to you but stopped for coronavirus.  It helps you focus and it helps calm you. Make sure you double check your answers and if you don't know a question go back over it and re read it.  Also pay attention to other questions because sometimes a question from the same passage helps you with a previous one.  You're going to do well and good luck!

Step-by-step explanation:

Answer:

x=7.965784

Step-by-step explanation:

Answer:

its the 2nd one the answer is 1 because 2 times 1 equals one plus 3=1

Step-by-step explanation:

Answer:

We now want to find the best approximation to a given function. This fundamental problem in Approximation Theory can be stated in very general terms. Let V be a Normed Linear Space and W a finite-dimensional subspace of V , then for a given v ∈ V , find w∗∈ W such that kv −w∗k ≤ kv −wk, for all w ∈ W.

Step-by-step explanation:

Answer:

3 more arrivals

Step-by-step explanation:

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

Answer:

6 students

Step-by-step explanation:

first you wanna convert the 2/3 into 4/6 cause that makes it easier then add the 1/6 to it  making it 5/6 and finally 5/6 of 36 is 30 and 36-30=6

Answer:

6 students

Step-by-step explanation:

Blue shirts: 1/6*36 = 36/6= 6

white shirts: 2/3*36= 72/3= 24

Blue + white= 24+6= 30 Students

36-30= 6 students didn't wear blue or white

Answer:

1/10.

Step-by-step explanation:

The probability of getting an even card out of 10 cards numbered 1 - 10 is 1/2. The even numbers available are 2, 4, 6, 8, and 10 while the odd ones available are 1, 3, 5, 7, and 9. So half the outcomes could come out even.

The probability the second card is less than two is 1/5 (2/10 simplified). Since there are 10 cards with numbers 1-10, only two cards will have numbers less than 3, 1 and 2.

To find the total probability, multiply the two. (1/2) * (1/5) = 1/10. There is a 1 out of 10 chance that the first card is even and the second card is less than 3.

Answer:

314

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

R= half of d

d= 20

20/2= 10

r=10

Plug into formula:

3.14(10)^2

= 314