Write a recursive sequence that represents the sequence defined by the
following explicit formula:
An = 1 - 5(n − 1)

Step-by-step explanation:

tan3 = 200/x

x = 200/tan3

The question is incomplete. The right question is:

A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?​

The distance between the fire and the base of the tower is 3816.2 feet.

Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.

We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.

We are asked to find the distance between the fire and the base of the tower.

We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.

We let the distance between the fire and the foot of the tower be x foot.

∠BCA = ∠DAC = 3° (alternate angles).

Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)

In ΔABC,

tan ∠BAC = BC/AB (tan θ = perpendicular/base)

or, tan 87° = x/200

or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).

∴ The distance between the fire and the base of the tower is 3816.2 feet.

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Answer:

A

Step-by-step explanation:

B is wrong because the big one has two curve

C is wrong because the smallest one is not in the same position

D is wrong because the middle line of the biggest one is than the middle line of the smallest one

Answer:

{y = 15/8 - (9 x)/8, y = -(7 x)/8 - 2}

{9 x + 8 y = 15, 7 x + 8 (y + 2) = 0}

Step-by-step explanation:

Answer:

a because i said so trust me

Step-by-step explanation:

Answer:

The number of students that the club needs is at least 8

Step-by-step explanation:

The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.

Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.

Step-by-step explanation:

The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.

A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.

Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).

The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.

Therefore, the correct option for the box plot will be F.

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Answer:

Associative property of addition. Grouping different addends does not change the sum.

Step-by-step explanation:

5 + 2 + 3 = 5 + (2 + 3)

10 = 5 + (5)

10 = 10

The average speed of the car for the given distance is 91.97 km/hr.

While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.

Given that, a car started 35 minutes later that is it started after:

35 minutes = 35/60 = 0.5833 hours

Now the distance is given as:

distance = speed x time

Now, for speed = 65 km/hr:

distance = 65t

For the car the time is (t - 0.5833) thus:

distance = speed x time

130 = speed x (t - 0.5833)

Now for speed we have:

30 = s x (t - 0.5833)

130 = st - 0.5833s

130 + 0.5833s = st

130/s + 0.5833 = t

Now, substituting the value of t in the equation of the van we have:

distance = 65t

distance = 65(130/s + 0.5833)

130/s + 0.5833 = distance/65

130/s + 0.5833 = distance/65

130/s + 0.5833 = 130/65

130/s + 0.5833 = 2

s = 91.97km/hr

Hence, the average speed of the car for the given distance is 91.97 km/hr.

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Answer:

There is no graph

Step-by-step explanation:

Answer:

I belive it is Parellelogram

Answer:

B. 25%

Step-by-step explanation:

Total 16 students

4 scored above 90

so 4/16= 0.25

Answer: 25%

plz mark me as brainliest.

Answer:

Step-by-step explanation:

-10x+7(-6)=18

-10x-42=18

      +42 +42

___________

-10x/-10=60/-10

x= -6

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

Answer:

35

Step-by-step explanation:

Answer:

the slope equals 2. otherwise known as the coefficient of x.

Answer:3/2

Step-by-step explanation:

Answer:

a part

Step-by-step explanation:

Answer is attached....

Hope it helps:)

Answer:

3.15km²

Step-by-step explanation:

A = bh/2

Answer:

same bud

Step-by-step explanation:

Answer:

To find the area break up the shapes:

The rectangle is A = bh which is 7*3 which is 21.

Triangle: A = 1/2(bh)

A=1/2(3*7)

A=1/2(21)

A=10.5

Now add up the areas:

21+10.5

=

31.5

The answer is 31.5 units.

Answer:

$20.71/[tex]ft^{2}[/tex]

Step-by-step explanation:

290 ÷ 14 = 20.71 (rounded)

Answer:

7 × 5 × 8 + 25% of 996 (a) 25 (b) 13 (d) 17 (e) 23 70. ... If maximum marks for each subject are 100 then find what percentage of total marks ... Then find the value of X ? (a) 6 months (b) 9 months (c) 8 months (d) 7 months (e) 10 months 79. ... Maths Paul 75 65 90 55 Aditya 70 85 60 Neeraj 80 50 85 95 Sandy 55 65 70 65 71.

Step-by-step explanation:

Answer:  c. during several storms, there were five hours of delay for every eight hours of rain

Step-by-step explanation: i just had this question

Answer:

right and scalene

Step-by-step explanation:

all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.

Answer:

A

Step-by-step explanation:

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

Answer:

$96

Step-by-step explanation:

If you doing ixl M.10 Multi-step problems with percents

i did this question and it's 96.hope this helps

Total cost of pay for the lunch will be $96.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of lunch = $75

Sales tax = 8%

Tip = 20%

Now,

The cost on sales tax = 8% of $75

                                = 8/100 x 75

                               = $6

Thus, The cost on sales tax = $6

And, The cost for tip = 20% of $75          

                                = 20/100 x 75

                                = $15

Thus, The cost for tip = $15

So, Total cost to pay for lunch = $75 + $6 + $15

                                               = $96

Thus, Total cost of pay for the lunch will be $96.

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Answer:

D) -7y + 14

Step-by-step explanation:

-7 x y = -7y

-7 × -2=14 ( negative times negative equals positive)