If a_1=3a 1 ​ =3 and a_n=(a_{n-1})^2+1a n ​ =(a n−1 ​ ) 2 +1 then find the value of a_4a 4 ​ .

Step-by-step explanation: 2/3 of 90 (30+30+30) is 60

Answer:

From the attached graphic, we can see:

(SP + PR) * PR = (WQ + QR) * QR

SP * PR + PR^2 = WQ * QR + QR^2

4 SP + 4*4 = 8 * 5 + 25

4 SP + 16 = 65

4 SP = 49

SP = 49 / 4

SP = 12.25

Step-by-step explanation:

Answer:

3 ft , 4 ft and 5 ft is a triangle.

Step-by-step explanation:

The first is not a triangle as 4 + 4 = 8 so triangle cant be drawn with these lengths.

Also third: 3 + 3 < 7 and last one 4 + 5 < 10 so neither are triangles.

Answer:

x=16

Step-by-step explanation:

Both angles are verically opposite angles

so

4x+21=85

4x=85-21

4x=64

x=16

Answer:

x = 2

Step-by-step explanation:

orayt so 28 degree and 175 feet is about...the fox jumps into the lazy dog and say "c'mon barbie let's go party! ah ah ah yeah"....but i dont know the answer as well so thank you.

Answer:

Approximately [tex]329\; \rm ft[/tex], assuming that the ground between Bern and Frank is level.

Step-by-step explanation:

Refer to the diagram attached.

The kite is right above Frank. Therefore, the imaginary line segment (the dashed line segment in the diagram) would form a right angle with the ground under Frank. Bern, Frank, and the Kite would be the three vertices of a right triangle.

The question states that from the perspective of Bern, the angle of elevation of the kite is [tex]28^\circ[/tex]. In this right triangle, the side opposite to this angle would be the imaginary line segment between Frank and the kite over him. The question states that the length of this imaginary line segment is [tex]175\; \rm ft[/tex].

The question is asking for the length of the line segment between Bern and Frank. In the right triangle pictured in this diagram, that line segment would be the side adjacent to the [tex]28^\circ[/tex] angle.

The cotangent of [tex]28^\circ[/tex] would be the ratio between the length of these two sides:

[tex]\displaystyle \cot (28^\circ) = \frac{\text{adjacent}}{\text{opposite}}[/tex].

[tex]\begin{aligned}\text{adjacent} &= \text{opposite} \cdot \cot(28^\circ) \\ &= (175\; \rm ft) \cdot \cot(28^\circ) \approx 329\; \rm ft\end{aligned}[/tex].

Answer:

there is not enough information

Answer:

y = - 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

9x + 3y = - 9 ( subtract 9x from both sides )

3y = - 9x - 9 ( divide terms by 3 )

y = - 3x - 3 ← in slope- intercept form

Answer:

3. below

<D = 75°

<E = 37°

<F = 68°

4. below

<G = 50°

<H = 80°

<I = 50°

5. below

<A = 55°

<B = 90°

<C = 35°

Step-by-step explanation:

In a triangle, all angles add up to 180°, so we can set up equation accordingly:

3. m<E + m<F + m<D = 180°

6x + 1 + 68 + 13x - 3 = 180

19x + 66 = 180

19x = 114

x = 6°

We can substitute the value of x back into the expressions for each angle:

m<E = 6x + 1 = 6(6) +1 = 36 + 1 = 37°

m<F = 68°

m<D = 13x - 3 = 13(6) - 3 = 75°

4. m<G + m<I + m<H = 180°

2x + 2x + 4x - 20 = 180

8x - 20 = 180

8x = 200

x = 25°

We can substitute the value of x back into the expressions for each angle:

<G = 2x = 50°

<H = 4x - 20 = 4(25) - 20 = 80°

<I = 2x = 50°

5. m<B + m<C + m<A = 180°

90 + 3x + 5 + 5x + 5 = 180

100 + 8x = 180

8x = 80

x = 10°

We can substitute the value of x back into the expressions for each angle:

<A = 5x + 5 = 5(10) + 5 = 55°

<B = 90°

<C = 3x + 5 = 3(10) + 5 = 35°

Answer:

11 1/9 ft^3

Step-by-step explanation:

find the complete question in the attached image

volume of the tank = length x width x height

2 x 5 x 1 2/3

2 x 5 x 5/3 = 50/3 = 16 2/3 ft^3

If the tank is 1/3 filled with water, the volume that needs to be filled with water is 1 - 1/3 = 2/3

volume that needs to be filled with water = 2/3 x volume of the tank

2/3 x 50/3 = 11 1/9 ft^3

Answer: y=2 and x=6

Step-by-step explanation:

x=3y

4x+5y=34

From equation ( 1) x=3y thus substituting in eqn(2)

4(3y)+5y=34

12y+5y=34

17y=34

y=34÷17=2

Thus y=2

Putting y=2 in eqn(1)

x=3y

x=3(2)

x=6

Answer:

umm noy sure

Step-by-step explanation:

e

Answer:

i dont know 2+2?

Step-by-step explanation:

Answer:

Yes, please answer this

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

if you put six beside the unknown side then you will see that x =3

Answer:

Its D.

Step-by-step explanation:

The expanded form of this number 630.052 is (6×100)+(3×10)+(5×1/100)+(2×1/1,000). Option D is correct.

Arithmetic is a branch of mathematics that studies numbers and the many operations that may be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.

The expanded form of this number 630.052 is solved by the BODMAS rule ;

630.052= (6×100)+(3×10)+(5×1/100)+(2×1/1,000)

630.052=6×100+3×10+5×0.01+2×0.001

630.052=600+30+0.05+0.002

630.052=630.052

The expanded form of this number 630.052 satisfy the option D.

Hence option D is correct.

To learn more about the arithmetic operation;

brainly.com/question/20595275

#SPJ2

Answer:

12

Step-by-step explanation:

(2x-8+2x+10)/2 = 25

(4x+2) = 2×25

4x+2 = 50

4x = 50-2

4x = 48

x = 48/4

x = 12

Answer:

x = 16.5 as the median in this term is 2x-8

and 2x-8 = 25

25+8=2x

33=2x

x=[tex]\frac{33}{2}[/tex]

= 16.5

Step-by-step explanation:

this answer says 12 which is false

Answer:

3(4n+2)is equivalent to6(2n+1)

Answer:

1.6667

Step-by-step explanation:

Answer:

10 tickets in total                                                                                                                                                                                                                                                                                                                                                                  

Step-by-step explanation:

Fun world:

7.65 = 1

8.30 = 2

8.95 = 3

9.60 = 4

10.25 = 5

Game time:

9.25 = 1

9.50 = 2

9.75 = 3

10.00 = 4

10.25 = 5

I really hope this helped you! And i'm sure you won't go to summer school!

Answer: Choice A

x+3y = 14

======================================================

Explanation:

The general template for standard form is Ax+By = C, where A,B,C are integers.

This immediately rules out choices C and D, since they don't fit the format mentioned.

To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.

For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...

x+3y = 14

2+3(4) = 14

2+12 = 14

14 = 14 this is true

So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.

---------

If we tried (2,4) with choice B, then,

5x+3y = 14

5(2)+3(4) = 14

10+12 = 14

22 = 14 which is false

This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.

perimeter = 66

20+20+13+13

Area = 260

20*13

Answer:

i suggestions you read the question carefully and solve the question and check your soulation

Answer:

B. obtuse triangle

Step-by-step explanation:

Obtuse triangles are triangles with one obtuse angle and two acute angles. Define obtuse angles as angles over 90 degrees and acute angles as angles less than 90 degrees.

In this triangle:

118 degrees - obtuse angle

19 degrees - acute angle

43 degrees - acute angle

Thus, this triangle is an obtuse triangle.

Step-by-step explanation:

I don't know what constructions you were taught.

a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.

by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).

and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.

I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.

we would get the triangles ABC, AMN and AXY.

the points B and C would be then halfway on AM and AN.

and M and N would then a bit before X and Y on AX and AY.

the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.

let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.

now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.

and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.

and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).

Answer:

H

Step-by-step explanation:

2/3 means a rise of 2 and a run of 3