From a hot-air balloon, Enola measures a 22 degrees angle of depression to a landmark that’s 310 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer 1

Answer:

  125.25 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...

  Tan = Opposite/Adjacent

__

Solving for the Opposite side (the height of the balloon), we find ...

  Opposite = Adjacent · Tan

  height = (310 ft)·tan(22°) ≈ 125.25 ft

Enola's balloon is about 125.25 ft above the ground.

_____

Additional comment

If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).


Related Questions

taking a photo of 3 questions! Please help! with ALL answers if possible! I’m putting it at 30+ points

Answers

Answer:

3 for City A and 6 for City B.

Step-by-step explanation:

All you have to do is look where it stands bye.

Hope this helps!

A store is handing out coupons worth 30%, 35%, or 40% off Each coupon is equally likely to be handed out. Which of the following models could be used to simulate this situation?​

Answers

Your correct answer is 3.

Sure hope this helps you and pls mark me brainiest :)

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Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144

Answers

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

How to factor the polynomial?

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

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5. Kiran is solving the equation Vx+ 2 – 5 = 11 and decides to start by squaring both sides. Which equation results if Kiran squares both sides as his first step? A. x + 2 – 25 = 121 B. x + 2 + 25 = 121 х C. x + 2 – 107x + 2 + 25 = 121 = х = D. x + 2 + 107x + 2 + 25 = 121 (From Unit 3, 9.)​

Answers

The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121

How to simplify algebra?

We want to simplify the expression;

[√(x + 2)] - 5 = 11

Squaring both sides is;

([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11

x + 2 - 10√(x + 2) + 25 = 121

Thus, the correct answer is;

x + 2 - 10√(x + 2) + 25 = 121

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Consider the points plotted on the number line shown.
PLS HELP ILL GIVE 5 STARS

Answers

Answer:

false

true

true

sorry i just need more characters

The answer is - False, True, True

A school playground is in the shape of a parallelogram. The base of the parallelogram is six times as long as the height. The area of the playground is 5040 square feet. What is the length of the longer side of the playground? Round to the nearest foot.
Hint : Use A = bh.
180 ft
30 ft
840 ft
174 ft

Answers

Answer:

Option D, 174 ft

Step-by-step explanation:

Step 1:  Create an equation

[tex]B = 6H[/tex]

[tex]Area = (6H) * H[/tex]

Step 2:  Divide both sides by 6

[tex]5040\ ft^2 = 6H^2[/tex]

[tex]\frac{5040\ ft^2}{6} = \frac{6H^2}{6}[/tex]

[tex]840\ ft^2 = H^2[/tex]

Step 3:  Square root both sides

[tex]\sqrt{840\ ft^2} = \sqrt{H^2}[/tex]

[tex]29\ ft = H[/tex]

Step 4:  Find the base

[tex]A = B * H[/tex]

[tex]5040\ ft^2 = B * 29\ ft[/tex]

[tex]\frac{5040\ ft^2}{29\ ft} = \frac{B*29\ ft}{29\ ft}[/tex]

[tex]174\ ft = B[/tex]

Answer:  Option D, 174 ft

pls help i really did it plssssssssss

Answers

Answer:

D

Step-by-step explanation:

You can combine like terms meaning (8x+14)+ (9x-5) is 17x+9

Hi!

Given:

[tex](8x+14) + (9x-5)[/tex]

As we are adding the two groups, we can safely take them out of parentheses, as none of the signs will change:

[tex]8x+14+9x-5[/tex]

Now, we can rearrange them to make it easier, placing like terms next to each other:

[tex]8x+9x+14-5[/tex]

Now, add like terms:

[tex]17x+9[/tex]

Therefore, your answer is D.

7. Saturday night, Larry is attending the concert of his favorite rock band. Tickets were $250 plus 6% tax. Parking is $20 for the evening. While there, Larry purchases a T-shirt for $35 plus 7% tax and a meal with a beverage for $25. How much did he spend altogether to attend the concert?​

Answers

Answer:

$347.45

Step-by-step explanation:

total = tickets + parking + t shirt + meal

tickets = 250 + 6% tax

6% tax is of 250, so this is equal to

250 + 6% of 250

6% = 0.06 because we divide by 100 to convert to a decimal from a percentage

thus, tickets = 250 + 0.06 of 250 = 250 * 1 + 0.06 * 250 + 1.06 * 250 = 265

parking = 20

use a similar strategy from the tickets and apply that to the t shirt

t shirt = 35 + 7 % tax = 35 + 0.07 * 35 = 1.07 * 35 = 37.45

meal = 25

total = 265 + 20 + 37.45 + 25 = $347.45

Which statement is true? Question 16 options: A) |–3| = 3 and |–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and –|–4| = –4

Answers

B: -3 = 3 and -4 = 4

-3 is the opposite of 0 and the same is for -4. So its B

Bha A quadrilateral has two sides that in measure 14 centimeters and two sides that measure 5 centimeters. Two angles measure 110°. The other two angles measure 70°. The congruent angles are opposite. The congruent sides are parallel. What kind of quadrilateral is it?​

Answers

Answer:

  parallelogram

Step-by-step explanation:

A kite will have two pairs of congruent sides. An isosceles trapezoid will have two pairs of congruent angles.

When the congruent angles are opposite and adjacent angles are supplementary, opposite sides must be parallel and congruent. The figure must be a parallelogram.

Solve: −(2/3a−1/3)+53a=−4

Answers

Answer:

a=-13/157open the brackets:_2/3a+1/3+53a =_4. 53a_2/3a=_4_1/3. 157/3a=_13/3 which is;a=_13/157

A cafeteria is in the shape of a rectangle. The length of the rectangle is four times its width. The area of the cafeteria is 14,800 square feet. What is the length of the cafeteria? Round to the nearest foot.
Hint: Use A = LW.
A. 243 Ft.
B. 61 FT.
C. 370 FT.
D.121 FT.

Answers

Answer:

Option A, [tex]L = 243\ ft[/tex]

Step-by-step explanation:

Step 1:  Create an equation

[tex]Length = 4 * Width[/tex]

[tex]Area = (4 * W) * W[/tex]

[tex]Area = 4 W^2[/tex]

Step 2:  Solve for W

[tex]14800\ ft^2 = 4 W^2[/tex]

[tex]\frac{14800\ ft^2}{4} = W^2[/tex]

[tex]3700\ ft^2 = W^2[/tex]

[tex]\sqrt{3700\ ft^2} = \sqrt{W^2}[/tex]

[tex]61\ ft = W[/tex]

Step 3:  Solve for L

[tex]Length = 4 * Width[/tex]

[tex]L = 4 * 61\ ft[/tex]

[tex]L = 243\ ft[/tex]

Answer:  Option A, [tex]L = 243\ ft[/tex]

Consider the following information:


Rate of Return If State Occurs
State of Probability of
Economy State of Economy Stock A Stock B
Recession .18 .07 − .18
Normal .55 .10 .11
Boom .27 .15 .28


a.
Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

a.stock A expected return ____%
stock B expected return ____%
b.stock A standard deviation ____%
stock B standard deviation ____%

Answers

B because your not rounding and in this case you need to intermediate the calculations

What is the area of the triangle? 5 in. 3 in 4in O 6 square inches O 7-square inches O 10 square inches O 12 square ches ​

Answers

Answer:

-------------------Heya Kjowanpreet!--------------

[tex] \large{ \tt{ \star\: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

GiveN :

Sides of the triangle : 3 in , 5 in and 4 ft

To FinD :

Area of the provided right angled triangle

FormulA :

Area of right angled triangle = 1/2 b × p where b = base & p = perpendicular. Here , Perpendicular = 3 in and base = 4 in

SolvinG :

[tex] \large{ \boxed{ \bf{Area \: of \:right \: angled \: triangle : \frac{1}{2} b \times p }}}[/tex]

[tex] \longrightarrow{ \tt{} \frac{1}{2} \times 3 \times 4}[/tex]

[tex] \longrightarrow{ \boxed{ \tt{6 \: in ^{2} }}}[/tex]

Yay ! Finally , We solved. Our final answer is 6 square inches.

-------------HappY LearninG <3 ---------------

[tex]\bold{ANSWER:}[/tex]
6 inch^2

[tex]\bold{EXPLANATIONS:}[/tex]

Find the circumference.

Answers

69.12ft

11x2 = 22

C= pi x d

= pi x 22

= 22pi

Or

69.11503838

Hope this helps!

Levi has a fish tank that holds
3
4
8 gallons of water. He wants to fill it
so it is only 3/4
full. How much water,
in gallons, should Levi put in the fish
tank? Explain.

Answers

Using proportions, it is found that Levi should put 2.8125 gallons of water in the tank.

What is a proportion?

A proportion is a fraction of a total amount.

Considering the improper fraction, the total amount of water that the tank holds is given by:

T = 3 4/8 = 3 + (4/8) = 3.5 gallons.

He wants the tank to be 75% full, hence, applying the proportion, the amount of water that he should put on the tank is of:

A = 0.75 x 3.5 = 2.8125 gallons.

More can be learned about proportions at https://brainly.com/question/24372153

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Oliver's total monthly budget is shown in the circle graph below


Oliver's monthly budget is 2500 how much money does he save each month​

Answers

The amount of money Oliver saves each month
= 2500 x 25%
= $625

How to solve this without a calculator

Answers

Answer:

B. -3/2

Explaination:

Please help me feedback is appreciated thank u!!

Answers

Answer:

1/64

Step-by-step explanation:

1/4*1/4*1/4 since as you tell me there are

2 of each, which is 1/4 I will do the same thing 3 times.

What is the value of 7-1* 0+3/3

Answers

Answer:

six!!! OBVIOUSLY BECUASE everything is made of dogs.

Step-by-step explanation:

lol sorry caps but it was kinda obvious ngl

A sum of N$2 500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to N$3 950. Calculate the number of years the amount has been in the venture account. Answer must be rounded to the nearest unit?​

Answers

The number of years the amount has been in the venture account with 12% interest per year is 4.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

A sum of $2,500 was deposited in a venture account, which pays 12% compounded per year and it accumulated to $3,950.

Then the number of the years will be

We know the compound interest formula

[tex]\rm A = P(1+r)^t[/tex]

where

A = Accumulated amount

P = Deposited value

r = rate of interest

t = time

Then we have

[tex]3950 = 2500 (1.12)^t\\\\1.58\ =1.12^t[/tex]

Taking log both sides, then we have

[tex]\rm \ln 1.58 = t \times \ln 1.12\\\\or \ \ \ \ t = 4.036 \approx 4 \ years[/tex]

Then the number of the years is 4.

More about the compound interest link is given below.

https://brainly.com/question/25857212

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4) Cody invests $2,733 in a retirement
account with a fixed annual interest rate of
9% compounded 12 times per year.
How
long will it take for the account balance to
reach $9,589.78?

Answers

Answer:

t = 14 years

Step-by-step explanation:

r = R/100

r = 9/100

r = 0.09 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.09/12)] )

t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.0075)] )

t = 14 years

Summary:

The time required to get a total amount of $9,589.78 with compoundeded interest on a principal of $2,733.00 at an interest rate of 9% per year and compounded 12 times per year is 14 years.

WILL GIVE BRAINLIEST IF ANSWER. PLEASE HELP ITS A 6TH GRADER QUESTION

Answers

Smallest -> Largest
0.12 mm < 10.4 mm < 102 mm < 125 mm

Answer:

SMALLEST TO GREATEST

102 mm --> 125 mm --> 10.4 cm --> 0.12 m.

Explanation:

Millimeters (mm) is smaller than centimeters (cm). Centimeters are smaller than meters (m).

And, since both 125 mm and 102 mm has the same units of measurement, 125>102.

So, 102 goes in front of 125.

And then the rest of the order is completed by comparing the units of measurement.

I hope it helps!! :D

Select the correct questions.
Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
in my class?
student in my class?
How many servings of fruit did
l eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?

Answers

Answer:

Step-by-step explanation:

I will give each that is a statistical question

Subject the students in my class like.

Number of students in my class (as you could compare to another class)

height of each student

serving of fruits eaten in that month

Perhaps height (As you could compare it to the average height)

Highest temp. of each month this year.

How many students love football.

Answer:

Statistcial Questions -

Which subjects do the students like

What is the height of each student

What is the highest temperature

of each month this year?

How many students from each

school in this city love football?

Step-by-step explanation:

Select the statement that makes this comparison correct: 0.45 ________ 0.39. (2 points)
0.39 > 0.45
0.45 > 0.39
0.45 < 0.39
0.39 = 0.45

Answers

Answer: 0.45 > 0.39

SURE HOPE THIS HELPS YOU :)

Give love

the function f(x)=-x is shown on the graph whixh statement is correct

the range of the graph is all real numbers less than or equal to zero
the domain of the graph is all real numbers less than or equal to zero
the domain and range of the graph are the same
the range of the graph is all real numbers​

Answers

Answer:

the range of the graph is all real numbers less than or equal to zero

Step-by-step explanation:

Strawberries cost $1.19 per pound. What is the cost of 2.16 pounds of strawberries?

PLEASEEE HELPPPP

Answers

Answer:

$ 2.57

Step-by-step explanation:

1.19 $/pound  * 2.16 pound =

Which set of data has the same mode and median?
6, 7, 7, 8, 9
2, 2, 3, 4, 6
3, 4, 6, 7, 8
3, 3, 4, 5, 5​

Answers

Answer:

A) 6, 7, 7, 8, 9

Step-by-step explanation:

Median: the middle number in a data set

Mode: the number that appears most frequently in a data set

Choices:

A) 6, 7, 7, 8, 9

B) 2, 2, 3, 4, 6

C) 3, 4, 6, 7, 8

D) 3, 3, 4, 5, 5​

A) 6, 7, 7, 8, 9

Median: 7

Mode: 7

B) 2, 2, 3, 4, 6

Median: 3

Mode: 2

C) 3, 4, 6, 7, 8

Median: 6

Mode: 3, 4, 6, 7, 8 <== as they all appear once

D) 3, 3, 4, 5, 5​

Median: 4

Mode: 3 and 5

Therefore, the correct answer is A, as it has a median and mode of 7.

Hope this helps!

Thabo bought bread for R9,50, sweets RO,50, biscuits for R2,75 and coldrink for R11,35. a) How much did Thabo spend at the shop? b) If Thabo had R50, how much was his change?​

Answers

Answer:

A) R24.10
B) R25.90

((ASSUMING THERES NO TAXES WITH THE PAYMENT))

Step-by-step explanation:
A)

first add up the costs of each item to get the ttal cost with addition as follows...

9.50 + 0.50 + 2.75 + 11.35 ((Adding like terms by adding 0.50 to 9.50 equaling 10.00))

10.00 + 2.75 + 11.35 ((adding the more simple options togeter since .75 is a more common fraction at 3/4))

12.75 + 11.35 ((finnishing off the system by adding the last two numbers together equaling to 24.10))

therefore Thabo spent a total of 24.10

B)
to find out the change, all we need to do is subtract the total cost from the total amount Thabo used to pay as shown below

50.00 - 24.10

in conclusion, Thabo would have R25.90 in change from the transaction ((assuming theres no tax))

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

6.63 ft

Step-by-step explanation:

10² + h² = 12²

h² = 12² - 10²

h² = 144 - 100

h = √(44)

h = 2√11

6.63325 ft

BRAINLIEST please if this helped!
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