Consider this function in recursive form.

A1 = -8

An = 3 + an-1

Enter an equivalent equation written in explicit form where n is the term number.

Type your response in simplest form. Do not type any spaces in your response.
an

An = _____

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Explanation:

The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5

The area of one circle is

A = pi*r^2

A = 3.14*(1.5)^2

A = 7.065

So two circles doubles to 2*7.065 = 14.13 square meters in area.

Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13

This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13

Answer:

23.14

Step-by-step explanation:

The shape is basically two equal-sized circles and a square.

Find the area of the square: 3 x 3 = 9

9 is the area of the square

The formula for finding the area of a circle is pi x radius squared.

3.14 x 1.5 squared = 7.06858

Round to 7.07 and multiply by 2 = 14.14

14.14 (area of both circles) + 9 (area of square) = 23.14

Answer:

35

Step-by-step explanation:

Only if u put x as 35 will the whole triangle sum equal 180 as necessary for the theorem to be true.

Answer:

BC = 8 cm

Step-by-step explanation:

tan(x) = sin(x)/cos(x)

sin(x) is the opposite side of the angle x.

cos(x) is the side with a right angle to sin(x).

2 = 12/EC

EC = 12/2 = 6 cm

=>

CD = ED - EC = 10 - 6 = 4 cm

now, the same tan(x) relation had to be true for BCD.

tan(x) = BC/CD

2 = BC/4

BC = 8 cm

Answer:

GCF (4 ,6) = 2

Greatest common factor (GCF)

Step-by-step explanation:

Answer:

3 + (5 + 7) = (3 + 5) + 7

Associative property

(3){5(7)} = (3){7(5)}

Commutative Property

5 + 0 = 5

Identity Property

Step-by-step explanation:

Answer:

Step-by-step explanation:

B is correct answer

Answer: [tex]x=0.30714\dots +\pi n[/tex]

Step-by-step explanation:

[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]

Answer:

37.68 is the correct answer

Step-by-step explanation:

diameter of the given circle is 12ft

circumference of a circle = pi x diameter.

= 3.14 x 12 ft

= 37.68 ft

Answer:

A

Step-by-step explanation:

because use the equation circumference of a circle

[tex]2 \times \pi \times r[/tex]

so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)

Awnser: 16022 in3

Step-by-step explanation:

find the volume of the 2 cones find the volume if the semicircle then add the 2 volumes together.

The radius of the given circle is 5, option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given figure, y is the radius.

By pythagoras theorem we find the radius

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

AC²+AB²=BC²

y²+12²=(y+8)²

y²+12²=y²+64+16y

144=16y+64

Subtract 64 from both sides

144-64 = 16y

80=16y

Divide both sides by 16

y=5

Hence, the radius of the given circle is 5, option C is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Answer:

B: 153ft2

Step-by-step explanation:

Answer:

Find the volume of this prism.

Answer:

Step-by-step explanation:

The - tells you that it is upside down. So that much of your choice is correct for certain.

The 1/8 squishes the graph something fierce. So of those graphs given, the one you chose is most likely correct. But you are right to be a little miffed at the question. You should never have to choose an answer with only a picture to guide you. If you have a graphing calculator, try y = -1/8 x^2 which is a good candidate for all the graphs.

Answer:

I think the answer is 278.85

Step-by-step explanation:

Answer:

278.85

Step-by-step explanation:

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

9514 1404 393

Answer:

  1583.4 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...

  V = π(6 ft)²(14 ft) ≈ 1583.4 ft³

_____

Additional comment

The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.

The volume of cylinder is 1583.4ft³.

Step-by-step explanation:

Given that :-

Base diameter if cylinder = 12 ft

To find :-

Solution :-

Using formula

Volume of cylinder = π × r² × h

Substitute the value

Volume of cylinder = π × (6ft)² × 14 ft

evaluate the exponent

Volume of cylinder = π × 36 ft ² × 14ft

multiply

Volume of cylinder = π × 504 ft³

Using , π = 3.14

Volume of cylinder = 3.14 × 504 ft³

Hence, the volume of cylinder is 1582.56ft³.

Round nearest tenth place = 1583.4 ft³.

Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let the third number be x , then

[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

Answers:

a = 1/3

b = -6

c = 7

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Explanation:

The terms of the given expression rearrange to [tex]\frac{1}{3}x^2 - 6x+7[/tex] which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

Answer:

-1 or 2

Step-by-step explanation:

2x2-2x-4

x2-x-2

x2+x-2x-2

x(x+1)-2(x+1)

(x+1)(x-2)

x=-1 or 2

Answer:

17.7 ft

Step-by-step explanation:

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

We solve using the Trigonometric function of sin

sin = Opposite/Hypotenuse

Opposite = Height = ?

Hypotenuse = Length of the ladder = 20 ft

Hence:

sin 62 = h/20 ft

Cross Multiply

h = sin 62 × 20 ft

h = 17.658951857 ft

Approximately = 17.7 ft

Answer: 5

Step-by-step explanation:

13-8=5

5-13=8

Answer:

-7

Step-by-step explanation:

cause I took the test and got it right in my first try

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since you want to eliminate y, the y value on the bottom equation has the be the opposite of the y value on the top one. So it's 4y on the top one, so the bottom one has to be -4y to eliminate y. The bottom one is -2y, so -2 times 2 =-4, so multiply the bottom one by 2 omg i miss linear combination

Answer:

Theta

Step-by-step explanation:

Indeed all angles of a triangle have a opposite side. And in trigonometry, the side opposite to theta is opposite side