ASAP PLEASE HELP MEEEEEEEEEEEEEEEEE

The slope of the tangent line to the curve at a point (x, y) is dy/dx. By the chain rule, this is equivalent to

dy/dθ × dθ/dx = (dy/dθ) / (dx/dθ)

where y = r(θ) sin(θ) and x = r(θ) cos(θ). Then

dy/dθ = dr/dθ sin(θ) + r(θ) cos(θ)

dx/dθ = dr/dθ cos(θ) - r(θ) sin(θ)

Given r(θ) = cos(3θ), we have

dr/dθ = -3 sin(3θ)

and so

dy/dx = (-3 sin(3θ) sin(θ) + cos(3θ) cos(θ)) / (-3 sin(3θ) cos(θ) - cos(3θ) sin(θ))

When θ = π/3, we end up with a slope of

dy/dx = (-3 sin(π) sin(π/3) + cos(π) cos(π/3)) / (-3 sin(π) cos(π/3) - cos(π) sin(π/3))

dy/dx = -cos(π/3) / sin(π/3)

dy/dx = -cot(π/3) = -1/√3

Answer:

D). The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

Given that,

Height of the tower = 98 m

Distance traveled by plane = 83 m

The distance of the take-off point from the tower = 42m

This shows that it forms a right-angled triangle with

Base(B) = 42m

Hypotenuse(H) = 83m

To find,

The height of this triangle(x) = ?

Using Pythagoras theorem, we know that,

B^2 + x^2 = H^2

⇒ x^2 = H^2 - B^2

⇒ x^2 = (83)^2 - (42)^2

⇒ x^2 = 6889 - 1764

⇒ x = [tex]\sqrt{6889 - 1764}[/tex]

∵ x = 71.58 m

Thus, the height difference from the position of the plane to the tower = 98 - 71.58

= 26.42 m

Thus, option D i.e. 'the plane's height must be 27m above the tower' is the correct answer.

Answer:

$0.05/year

Step-by-step explanation:

Number of years:

2006 - 2004 = 2

From 2004 to 2006 it's 2 years.

Difference in prices:

$1.35 - $1.25 = $0.10

Average change of price per year:

$0.10 / 2 years = $0.05/year

Answer:

98.7 tonnes of sand.

Step-by-step explanation:

First find the total :

3 + 1 + 15 = 19

if 19 = 125 tonnes,

what about 15 = ?

(cross multiply)

[tex] \frac{15}{19} \times 125[/tex]

= 1875 ÷ 19

= 98.68

(rounded off to 1 decimal place)

= 98.7 tonnes of sand.

Answer:

Answer is D

Step-by-step explanation:

cuh s

Answer:

the required answer is 4√2+1/2√2

Answer:

We want to "chop and round" the periodic number 0.9 at 3 digits.

First, remember that we can write our periodic number as:

0.9 = 0.9999...

Such that the nine repeats infinitely.

Now we want to chop it at the third digit, and then round.

To chop at the third digit we just "cut" the number at the third digit after the decimal point, we will get:

0.9 ≈ 0.999

Now we round.

Remember that to round a number, we need to look at the last digit after the decimal point.

If the last digit is 5 or larger, we round up, adding 1 to the previous decimal.

If the last digit is 4 or smaller, we round down, don't adding anything to the previous decimal.

in our number:

0.999

The last digit is a 9, so we round up.

Then we add "1" to the previous decimal

but the previous decimal is a 9, so when we add 1, it will transform into a 10.

So it also adds one to the previous decimal, which also is a 9, so the process repeats, this time adding 1 to the decimal to its left, in this case, that decimal will be the first decimal at the left of the decimal point.

So after rounding, we will get:

0.999 ≈ 1

Then we can conclude that:

he 3 digit chopping and rounding approximately of the number 0.9 is 1"

Answer:

By comparing of elements of both matrices, we will get,

[tex]x + y = 5 \: \: \: - - - (1) \\ \sf \: and \\ x - 2 = 3 \\ = > x = 3 + 2 \\ = > \green{ \boxed{x = 5}} \\ \\ so \: \: from \: eqn.(1) \\ 5 + y = 5 \\ = > y = 5 - 5 \\ = > \green{ \boxed{ y = 0}}[/tex]

[tex]\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \sf \: mark \: \\ me \: as\\ \bf \: brainliest \: \end{array}}}} \\ [/tex]

Answer:[tex]1651.38\ ft[/tex]

Step-by-step explanation:

Given

A walking trail is [tex]1580.76\ ft[/tex] long and a lake is located [tex]70.62\ ft[/tex] away  from end  of the trail

The distance from the start of the trail to the lake is the sum of the length of the trail and lake

[tex]\Rightarrow 1580.76+70.62\\\Rightarrow 1651.38\ ft[/tex]

Answer:

B

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

Answer: [tex]y=\frac{3}{4}x+3[/tex]

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.

[tex]y=\frac{3}{4}x+b[/tex]          [plug in (8,9)]

[tex]9=\frac{3}{4}(8)+b[/tex]       [multiply]

[tex]9=6+b[/tex]            [subtract both sides by 6]

[tex]b=3[/tex]

Now that we have b, we can complete the equation to [tex]y=\frac{3}{4}x+3[/tex].

Answer: -170

Concept:

When encountering questions that require multiple steps of the calculation, it is suggested to follow the PEMDAS.

Solve:

**Disclaimer** I assume that it is supposed to be (25 + 45). If it was, then you may refer to my answer. If the ")" after 45 is just a typo, you may point it out and I will redo it.

Given expression

 13 + {16 + 2 - [(25 + 45) × 3] + 9}

Do the parenthesis of the inner most

=13 + {16 + 2 - [70 × 3] + 9}

=13 + {16 + 2 - 210 + 9}

Do addition first, then subtraction

=13 + {18 - 210 + 9}

=13 + {27 - 210}

=13 - 183

=-170

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

It's rational. The square root of 36 is either 6 or -6. Both are rational because both are integers.

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]4x + 2 = 2(x + 6)[/tex]

[tex]4x + 2 = (2 * x) + (2 * 6)[/tex]

[tex]4x + 2 = 2x + 12[/tex]

Step 2:  Subtract 2 from both sides

[tex]4x + 2 - 2 = 2x + 12 - 2[/tex]

[tex]4x = 2x + 10[/tex]

Step 3:  Subtract 2x from both sides

[tex]4x - 2x = 2x - 2x + 10[/tex]

[tex]2x = 10[/tex]

Step 4:  Divide both sides by 2

[tex]2x / 2 = 10 / 2[/tex]

[tex]x = 5[/tex]

Answer:  [tex]x = 5[/tex]

Hi there!  

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I believe your answer is:  

[tex]x = 5[/tex]

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Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\4x + 2 =2(x+6)\\------------\\\rightarrow 4x + 2 = 2x + 12\\\\\rightarrow4x - 2x +2 = 2x - 2x + 12\\\\\rightarrow 2x + 2 = 12\\\\\rightarrow2x + 2 - 2 = 12 - 2\\\\\rightarrow 2x = 10\\\\\rightarrow \frac{2x=10}{2}\\\\\rightarrow \boxed{x = 5}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

B. 3.2

Step-by-step explanation:

5 companies have 0 computers.

10 companies have 1 computer.

10 companies have 2 computers.

30 companies have 3 computers.

25 companies have 4 computers.

20 companies have 5 computers.

To find mean:

0 x 5 = 0

10 x 1 = 10

10 x 2 = 20

30 x 3 = 90

25 x 4 = 100

20 x 5 = 100

100 + 100 + 90 + 20 + 10 + 0 = 320

20 + 25 + 30 + 10 + 10 + 5 = 100

100 companies were surveyed.

100 companies use 320 computers in total.

320 / 100 = 3.2

Answer:

Step-by-step explanation:

Side a is across from angle A, and side c is the hypotenuse. The trig ratio that utilizes the side opposite and the hypotenuse is the sin of an angle, namely:

[tex]sin(30)=\frac{28}{c}[/tex] and solving that for c:

[tex]c=\frac{28}{sin(30)}[/tex] so

c = 56

Answer:

eegwhwiwveejekjeevwhejecs

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = [tex]\sqrt{784}[/tex] = 28

Then

perimeter = 4s = 4 × 28 = 112 m

Answer:

112m

Step-by-step explanation:

the area of the square is 784m^2 so the square root of 784 would give us the length of the sides(since it's a square the length of each sides are equal). √784 would give 28m. 28 m is the length of each sides..so now the perimeter would be the addition of each sides which in case would be 4 times 28 because it's a square. 4 times 28 gives 112m.

Nuclear waste is a long term waste and is a major problem the world is facing regarding its disposal.

Answer :

Nuclear fission is exponential. This is known as chain reaction and a number of uranium atoms are fission together to increase exponentially.

Canada, for example produces electricity using the process of fission process in its nuclear reactors.

The nuclear waste includes :

These wastes remain radioactive and are dangerous for the human health.

A).

B).

Learn More :

https://brainly.com/question/1013815  

Answer:

2x + 3 = 3x + 1

x = 2

hope that helps ✌

Answer:

Step-by-step explanation:

the scale factor is 2. one length is 10, and the other is 5. pythagorean therom approved.

Answer:

Step-by-step explanation:

11t= tina

Rita= 11r+32

Answer:

$9.33

Step-by-step explanation:

quarter = 25 cents

dime = 10 cents

nickel = 5 cents

penny = 1 cent

31 (0.25) = 7.75

13 (0.10) = `1.30

5 (0.05) = 0.25

3(0.01) = 0.03

7.75 + 1.30 + 0.25 + 0.03 = 9.33

Answer:

$9.33 or 933 cents

Step-by-step explanation:

Concepts:

Solving:

Since we know the value of each coin, let's set up an expression:

q = 25, d = 10, n = 5, p = 1

(31 · q) + (13 · d) + (5 · n) + (3 · p)

Now, let's solve our expression!

1. Plug in the values of q, d, n, and p

2. Simplify the terms in the parentheses

3. Add all the terms together

Now, we know the the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies is 933 cents. However, we can also write it in decimal form by moving the decimal point to the left 2 times from the last digit of 933, 3: 933.0 -> 93.30 -> 9.330, and 9.330 = 9.33. Therefore, the answer is 933 cents or $9.33.

Answer:

b. 40m

Step-by-step explanation:

[tex]length \: of \: x \\ {x}^{2} = {8}^{2} + {6}^{2} \\ {x}^{2} = 64 + 36 \\ {x}^{2} = 100 \\ \sqrt{ {x}^{2} } = \sqrt{100} \\ x = 10m[/tex]

[tex]x = 10m \\ 4x = 4 \times 10 \\ 4x = 40m[/tex]

Answer:

b) 6

Step-by-step explanation:

x - 4 = 2

x = 2 + 4

x = 6

Answer:

Step-by-step explanation: