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goblinko [34]
2 years ago
9

From a hot-air balloon, Ian measures a 30^{\circ}

Mathematics
1 answer:
natka813 [3]2 years ago
5 0

The balloon’s vertical distance above the ground is 721.7 f

<h3>Angle of elevation and depression</h3>

In order to determine the balloon's vertical distance, we will use the SOH CAH TOA identity

Given the following parameters

Angle of depression = 30 degrees

Horizontal distance =1250 feet

Required

vertical distance H

Using the SOH CAH TOA identity

tan 30 = H/1250

H = 1250tan30
H = 721.7 feet

Hence the balloon’s vertical distance above the ground is 721.7 feet

Learn more on angle of elevation and depression here: brainly.com/question/2096694

#SPJ1

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6 16x + 5y = -2<br> 4x - y=-2
Grace [21]

Answer:

x=2/9,y=26/9

Step-by-step explanation:

This is a simultaneous equation

16x+5y=-2..(1)

4x-y=-2...(2)

From (2) make y the subject of formula

y=4x+2..(3)

Substitute (3) into (1)

16x+5(4x+2)=-2

16x+20x+10=-2

36x-10=-2

Add 10 to both sides

36x=8

Divide both sides by 36

x=8/36

Divide both denominator and numerator by 4

x=2/9

Substitute the value x into (3)

y=4(2/9)+2

y=8/9+2

Let the LCM be 9

y=8+18/9

y=26/9

Therefore x=2/9,y=26/9

5 0
3 years ago
At a fair, each person can spin two wheels of chance. The first wheel has the letters F, A, I, and R. The second wheel has the n
pickupchik [31]

Answer:

12 possible outcomes.

Sample space:

\begin{array}{cccc}(F,1)&(A,1)&(I,1)&(R,1)\\(F,2)&(A,2)&(I,2)&(R,2)\\(F,3&(A,3)&(I,3)&(R,13)\end{array}

Step-by-step explanation:

The collection of all possible outcomes of a probability experiment forms a set that is known as the sample space.

1. There are four possible outcomes for the first wheel: F, A, I and R

2. There are three possible outcomes for the second wheel: 1, 2 and 3

So, the sample space is

\begin{array}{cccc}(F,1)&(A,1)&(I,1)&(R,1)\\(F,2)&(A,2)&(I,2)&(R,2)\\(F,3&(A,3)&(I,3)&(R,13)\end{array}

4 0
3 years ago
A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 5454
Elina [12.6K]

Answer:

27 ft^3

Step-by-step explanation:

The total surface area of the cube is 54 ft^2.

A cube has 6 congruent square sides.

54 ft^2/5 = 9 ft^2

Each square side has area 9 ft^2.

The area of a square is the square of the side, so the side of a square is the square root of the area.

side = sqrt(9 ft)^2 = 3 ft

The volume of a cube is the cube of the side.

volume = (3 ft)^3

volume = 27 ft^3

4 0
3 years ago
Geometry question, need some help :)
kodGreya [7K]

Answer:

Links are blurry please type (:

Step-by-step explanation:


8 0
3 years ago
Helpppp with this math
Ilia_Sergeevich [38]

9514 1404 393

Answer:

  x = 8 1/3

Step-by-step explanation:

Put the known values into the equation and solve for x.

  f(x) = 3x -1

  24 = 3x -1 . . . . . use 24 for f(x)

  25 = 3x . . . . . . . add 1 to both sides

  25/3 = x . . . . . . divide both sides by 3

The input is x = 8 1/3.

4 0
3 years ago
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