Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .

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)

The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).

Here,

Let's consider the situation described in the problem:

An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.

Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.

Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).

The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.

Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).

The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:

tan(angle) = opposite / adjacent

In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):

tan(15°) = 2 / x

Now, solve for x:

x = 2 / tan(15°)

Using a calculator:

x ≈ 2 / 0.26794919243 ≈ 7.47 miles

So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).

To learn more trigonometry click:

brainly.com/question/26719838

#SPJ4

Answer:

You have gained $43 and the value increased by 3.8%

Step-by-step explanation:

You would 75 times 15 = $1125

then you would do 1125 times 97% = 1091.25

now you would do 1091.25 times 107% = estimation of 1168

then you would do 1168/1125 which is estimated to 1.038 and you would convert that into a percentage = 103.8%

You would do 1168 - 1125 = $43 and 103.8 - 100 = 3.8%

Answer:

Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.

Step-by-step explanation:

A parallelogram have opposite sides parallel and congruent

the given quadrilateral is a parallelogram then

10 = x + 2 Equation A

x + 5 = 2x - 3 Equation B

Solving for Equation A:

x = 10 -2 = 8 inches

Solving for Equation B;

2x - x = 5 + 3

x = 8 inches

Value X are the same equations.

Means that

For x=8 inches opposite side

So Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.

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 :

https://brainly.com/question/14977354

#SPJ7

Answer:

If the question is asking which line is the radius then yes

Step-by-step explanation:

Answer and Step-by-step explanation:

i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1

Since we know this, we can go to the last instance of the multiply of 4.

For this question, it is 12. 2 more after twelve is 14. Since it is 2, it would be -1.

D. -1 -- This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]x^{8}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]x^{4}[/tex] × [tex]x^{4}[/tex] = [tex]x^{(4+4)}[/tex] = [tex]x^{8}[/tex]

Given:

Sum of all the interior angles of a regular polygon is 1080°.

Measure of each side is 10 cm.

To find:

The perimeter.

Solution:

The sum of all interior angles of a regular polygon with n side is:

[tex]S=(n-2)180^\circ[/tex]

Sum of all the interior angles of a regular polygon is 1080°.

[tex]1080^\circ=(n-2)180^\circ[/tex]

[tex]\dfrac{1080^\circ}{180^\circ}=n-2[/tex]

[tex]6+2=n[/tex]

[tex]8=n[/tex]

Number of sides of the regular polygon is 8. The measure of each side is 10 cm. So, the perimeter of the regular polygon is:

[tex]\text{Perimeter}=\text{Number of sides}\times\text{Measure of each side}[/tex]

[tex]\text{Perimeter}=8\times 10[/tex]

[tex]\text{Perimeter}=80[/tex]

Therefore, the perimeter of the regular polygon is 80.

The choose (d)

1/2(x+1)

x²–25/x²+6x+5 / 2x-10

(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)

Remove (x+5) from the first fraction

(x-5)/(x+1) / 2(x-5)

(x-5) / 2(x-5)(x+1)

Remove (x-5)

1/2(x+1)

I hope I helped you

Good luck ^_^

Answer:

7

Step-by-step explanation:

In most cases the first step is to create an equation to solve for the missing variable

But in this case we are already given the equation

(7.25h + 5 = 6.5h + 10.25)

All we have to do is solve for h

7.25h + 5 = 6.5h + 10.25

Step 1 subtract 5 from both sides

7.25h = 6.5h + 5.25

Step 2 subtract 6.5h from both sides

0.75h = 5.25

Step 3 divide both sides by .75

h = 7

So at 7 hours the cost will be the same for both instructors

Answer:

Width of the box = 2 inches

Step-by-step explanation:

Volume of a box = length × width × height

Volume of the box = 240 cubic inches

Length of the box = (x + 8) inches

Width of the box = x inches

Height of the box = 12 inches

Volume of a box = length × width × height

240 = (x + 8) * x * 12

240 = (x² + 8x) * 12

240 = 12x² + 96x

12x² + 96x - 240 = 0

x² + 8x - 20 = 0

Solve quadratic equation using factorization method

x² + 10x - 2x - 20 = 0

x(x + 10) -2(x + 10) = 0

(x + 10) (x - 2) = 0

x + 10 = 0 OR x - 2 = 0

x = -10 OR x = 2

Width of the box can not be a negative value

Therefore,

Width of the box = 2 inches

Answer:

200

Step-by-step explanation:

6.6/3.3 = 2

10^-2 / 10^-4 = 10^2

10^2 = 100

2 x 100 = 200

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:

-1

Step-by-step explanation:

y2-y1/x2-x1

-4-5/5- -4

-9/9

-1

Answer:

click on it and double check that all questions are 100% complete if so wait because it is quite possible it is a glitch this sort of thing happens often no need to be alarmed

Answer:

A. y = -(x + 5)^2 + 4

Step-by-step explanation:

After a small online search, I've found that the options are:

A. y = -(x + 5)^2 + 4

B. y = -(x - 5)^2 + 4

C. y = -(x + 5)^2 - 4

D. y = -(x - 5)^2 - 4

For a quadratic equation with a vertex at the point (h, k) is written as:

y = a*(x - h)^2 + k

Where a is the leading coefficient.

So, if here we have the vertex at (-5, 4)

y = a*(x - (-5))^2 + 4

y = a(x + 5)^2 + 4

Then the correct option is the first one, where a = -1, then the correct option is A.

Answer:

13

Step-by-step explanation:

< W = <V            Given

WV = 8              Given

XV = 13              Given

Find XW

In an isosceles triangle if you are given the length of one of the sides opposite one of the two equal angles, then the side opposite the other equal angle is equal to the given side.

In sort XV = 13. < V = <W   XW = 13

Answer:

13.928

Step-by-step explanation:

Pythagorean theorem. 13^2 + 5^2 = x^2

Answer:

this is easy

Step-by-step explanation:

valve of x is 30 add 13 into 30 = 43÷5 5/8

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.

Answer: 500

Step-by-step explanation:

Given

6 g butter is required to make a cupcake

If there is 3 kg butter

We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm

No of cup-cakes made

[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]

Answer:

Hello! answer: 96

Step-by-step explanation:

I will find the area of each face separately and add them up so... for the triangles those would both be 6. the rectangle on the bottom would be 28 and the rectangle standing up would be 21 now for the triangle on top that would be 35. now we would just add these up so...

6 + 6 + 28 + 21 + 35 = 96 Therefore the surface area is 96 Hope that helps!

Answer:

0.025 liters

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

0.025 liters

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

not sure tho____________

Answer:

83 degrees

Step-by-step explanation:

The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so

43 + x = 126

x = 83 degrees

Second way

exterior angle + inner angle = 180

126 + inner angle = 180

inner angle = 54

the sum of the inner angles of a triangle is 180 degrees

54 + 43 + x = 180

97 + x = 180

x = 83 degrees

Answer:

18.9

Step-by-step explanation:

First, lets solve for the fractions. You can divide the fractions from the top, to their bottom (4 divided by 5, 3 divided by 5), in this case, you get 1.4. Now you have to rewrite the problem: 1.4+3.5x5. You solve it, and get 18.9.

Answer:

18.9

Hope that this helps!

Answer:

The interval notation would be (-∞, 3.9 feet) ∪ (6.3 feet, ∞).

Step-by-step explanation:

Since the lower and upper bounds are given, those very bounds extend to infinity in this case since there is no limit to the height which would be considered abnormal in this question. Using the lower bounds and upper bounds to construct an interval notation, we get the answer as shown above.

Hope this helped!

The approximate areas of the continents (excluding North America) are as follows:

- Australia: 11 million km^2

- Europe: 15 million km^2

- Antarctica: 18 million km^2

- South America: 26 million km^2

- Africa: 44 million km^2

- Asia: 66 million km^2

To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).

1. Australia:

Percentage: 5%

Approximate area: 0.05 * 220 million km^2 = 11 million km^2

2. Europe:

Percentage: 7%

Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)

3. Antarctica:

Percentage: 8%

Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)

4. South America:

Percentage: 12%

Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)

5. Africa:

Percentage: 20%

Approximate area: 0.20 * 220 million km^2 = 44 million km^2

6. Asia:

Percentage: 30%

Approximate area: 0.30 * 220 million km^2 = 66 million km^2

Note: These values are rounded to the nearest million square kilometers.

For more such questions on continents

https://brainly.com/question/28440881

#SPJ8

Answer:

D 5.4

Step-by-step explanation:

The pythagoras theorem states that a² + b² = c²

2² + 5² = ?²

4 + 25 = ?²

29=?²

? =

[tex] \sqrt{29} [/tex]

? = 5.4 rounded 2 sig fig one decimal place

Answer:

81

Step-by-step explanation:

1350 ×15 % by 100 = 81. 15 year = 1,215