how many miles from the runaway airplane at the start of this approach.​

Answer:

b = x - y

Step-by-step explanation:

Given the expression x - y = b

We are to rewrite the value of b;

We can simply do this by swapping both sides that are putting b at the Left hand side and x - y at the right as shown

b = x - y

Hence the correct expression will be b = x - y

Answer:

30000

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

a. i. sinθ = +0.941

ii. cosθ = +0.339

b. i. sinθ = -0.842

ii.  cosθ = +0.540

Step-by-step explanation:

a. Given that tanθ almost equal to≈ 2.773 where 0<θ<π/2, find the values of sinθ and cosθ.

i. sinθ

Given that 1 + cot²θ = cosec²θ

cotθ = 1/tanθ

Since tanθ = 2.773, cotθ = 1/tanθ = 1/2.773 = 0.3606

So, 1 + cot²θ = cosec²θ

1 + (0.3606)² = cosec²θ

1 + 0.13 = cosec²θ

1.13 = cosec²θ

cosec²θ = 1.13

cosecθ = ±√1.13

cosecθ = ±1.063

1/sinθ = ±1.063

sinθ = ±1/1.063

sinθ = ±0.9407

sinθ ≅ ±0.941

Since we have 0<θ<π/2, sinθ is in the first quadrant, so we choose the positive value.

So, sinθ = +0.941 where 0<θ<π/2

ii. cosθ

Given that 1 + tan²θ = sec²θ

Since tanθ = 2.773,

So, 1 + tan²θ = sec²θ

1 + (2.773)² = sec²θ

1 + 7.6895 = sec²θ

8.6895 = sec²θ

sec²θ = 8.6895

secθ = ±√8.6895

secθ = ±2.9478

1/cosθ = ±2.9478

cosθ = ±1/2.9478

cosθ = ±0.3392

cosθ ≈ ±0.339

Since we have 0<θ<π/2, cosθ is in the first quadrant, so we choose the positive value.

So, cosθ = +0.339 where 0<θ<π/2

b. Given that tanθ ≈ -1.559 where 3π/2<θ<2π, find the values of sinθ and cosθ.

i. sinθ

Given that 1 + cot²θ = cosec²θ

cotθ = 1/tanθ

Since tanθ = -1.559, cotθ = 1/tanθ = 1/-1.559 = -0.6414

So, 1 + cot²θ = cosec²θ

1 + (-0.6414)² = cosec²θ

1 + 0.4114 = cosec²θ

1.4114 = cosec²θ

cosec²θ = 1.4114

cosecθ = ±√1.4114

cosecθ = ±1.1880

1/sinθ = ±1.1880

sinθ = ±1/1.1880

sinθ = ±0.8417

sinθ ≈ ±0.842

Since we have 3π/2<θ<2π, sinθ is in the fourth quadrant, so we choose the negative value.

So, sinθ = -0.842 where 3π/2<θ<2π

ii. cosθ

Given that 1 + tan²θ = sec²θ

Since tanθ = -1.559,

So, 1 + tan²θ = sec²θ

1 + (-1.559)² = sec²θ

1 + 2.4305 = sec²θ

3.4305 = sec²θ

sec²θ = 3.4305

secθ = ±√3.4305

secθ = ±1.8522

1/cosθ = ±1.8522

cosθ = ±1/1.8522

cosθ = ±0.5399

cosθ ≈ ±0.540

Since we have 3π/2<θ<2π, cosθ is in the fourth quadrant, so we choose the positive value.

So, cosθ = +0.540 where 3π/2<θ<2π

Answer:

Option A is correct

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Answer:

The value of x is 8

Step-by-step explanation:

Answer:

∠A = 38.68°

Step-by-step explanation:

[tex]sinA=\frac{5}{8}\\A=sin^{-1}(\frac{5}{8})\\A=38.68[/tex]

The measure of the ∠A in this right-angled triangle is,  38.68°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given figure, With reference to ∠A, the Opposite is 5 units and the hypotenuse is 8 units.

We know, sin = opposite/hypotenuse.

Therefore, sinФ = 5/8.

Ф = sin⁻¹(5/8).

Ф = 38.68°.

learn more about trig ratios here :

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Answer:

orange :P

Step-by-step explanation:

volume = a x a x a = 15 x 15 x 15 =3375 cubic mm

Answer:

3375 cm (so the 3375 with the 3 in the corner)

DONT PUT THE ONE WITH THE 2 IN THE CORNER. Put the one with the 3 in the corner. I have made this mistake too many time lol.

Work:

Given, side of a cube =15 cm

Volume of a cube = Length x Width x Height

A cubes length, width, and height are the same.

15×15×15=3375 cm squared  

Answer:

Step-by-step explanation:

3:22

Answer:

6/50

Step-by-step explanation:

using probability

pink beads = 6

total beads = 44 + 6

= 50

6/50

3/25

therefore ratio

3 : 25

Answer:

16. 8/x

17. 8x

18. 4x⁴/y³ (not clear)

19. 16x^8

20. 256 R⁴

21. 64x^6

22. 81x^8

23. 1/ 3x

24. 5x

25. 1

Answer:

-10

Step-by-step explanation:

[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.

The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,

[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].

Substitute,

[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]

Simplify,

[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]

Cross products,

[tex]5(x+2)=3(2x+2)\\[/tex]

Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,

[tex]5x+10=6x+6[/tex]

Inverse operations,

[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]

Answer:

The percent decrease is 80%. or C.

Step-by-step explanation:

Hope this helps! (:

Answer and Step-by-step explanation:

2x + 2 is the answer.

If the boy is twice as old, and the sister's age is represented by x, then we multiply 2 to x to represent the boy's age.

Then we add 2 when 2 years pass by.

#teamtrees #PAW (Plant And Water)

Answer:

x= -8y  / 5 +107

y = 535 - 5x / 8

Step-by-step explanation:

5x+8y=535

Subtract 8y from both sides.

5x=535−8y

Divide both sides by 5.

5x / 5 = 535 - 8y / 5

Dividing by 5 undoes the multiplication by 5.

x=  535−8y / 5

​ Divide 535−8y by 5.

x= -8y  / 5 +107

5x+8y=535

Subtract 5x from both sides.

8y=535−5x

Divide both sides by 8

8y / 8 = 535 - 5x / 8

Dividing by 8 undoes the multiplication by 8.

y = 535 - 5x / 8

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

6 pretty sure

Step-by-step explanation:

Given:

The sequence is:

[tex]6, -24, 96, -384,...[/tex]

To find:

The explicit formula for the given sequence and then find the 16th term.

Solution:

We have,

[tex]6, -24, 96, -384,...[/tex]

The ratio between two consecutive terms are:

[tex]\dfrac{-24}{6}=-4[/tex]

[tex]\dfrac{96}{-24}=-4[/tex]

[tex]\dfrac{-384}{96}=-4[/tex]

The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].

The explicit formula of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]a=6, r=-4[/tex] in the above formula, we get

[tex]a_n=6(-4)^{n-1}[/tex]

We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.

[tex]a_n=6(-4)^{16-1}[/tex]

[tex]a_n=6(-4)^{15}[/tex]

[tex]a_n=6(-1073741824)[/tex]

[tex]a_n=-6442450944[/tex]

Therefore, the explicit formula for the given sequence is  [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].

Answer:

Step-by-step explanation:

x=[tex]\sqrt{100+16}[/tex]

x=[tex]\sqrt{116}[/tex]

x=2[tex]\sqrt{29[/tex]

Answer:

[tex] x = \blue{2\sqrt{29}} [/tex]

Step-by-step explanation:

[tex] a^2 + b^2 = x^2 [/tex]

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

[tex] 16 + 100 = x^2 [/tex]

[tex] x^2 = 116 [/tex]

[tex] x = \sqrt{116} [/tex]

[tex] x = \sqrt{4 \times 29} [/tex]

[tex] x = \blue{2\sqrt{29}} [/tex]

Answer:

Your correct answer will be 6.2

Step-by-step explanation:

First, we line up the decimal points,  0.2 plus 6.0, always add 0 to the number without the decimal.

Last, you just add them, and you will get 6.2

Mark me brainliest and have a good day!

Answer:

x = 7.2

Step-by-step explanation:

a² + b² = c²

x² + (19.2/2)² = (24/2)²

x² + 9.6² = 12²

Subtract 9.6² from both sides

x² = 12² - 9.6²

x² = 51.84

x = 7.2

Answer and Step-by-step explanation:

A common factor of 3k and 18 is 3.

3 goes into both of these numbers, and is greater than 1.

#teamtrees #PAW (Plant and Water)

Answer:

We need to know the question??

Step-by-step explanation:

Answer:

7cm

Step-by-step explanation:

Volume of a prism = base area x height

base area = area of a square = length²

784  = length² x 16

divide both sides of the equation by 16

length² = 784/16

length² = 49

find the square root of both sides

length = 7

Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]

Direction is given by using figure i.e.

[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]

Direction is [tex]15.85^{\circ}[/tex] North of east

Answer:Option 1) H

Step-by-step explanation:

Answer:

its H

Step-by-step explanation:

EDG 2021

Answer:

-6n + 11

Step-by-step explanation:

The difference between each number is 6 (-6)

If n=1 then -6n + 11 =5

If n=2 the (-6×2) + 11 = -1

If n=3 the (-6×3) + 11 = -7

and so on.

You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.

:]

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

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Answer:

(i) 18.4 > 18.04

(ii) 0.7 < 50 > 35

b) 173500

c) 173500

Step-by-s tep explanation:

(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.

(ii) Simple less than < greater than > skills.

b) Simple rounding.

c) The answers stays the same; rounding cannot be completed using JUST whole numbers.