On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depression of the stake is 62º. Find the height of the balloon to the nearest foot.
List your knowns and unknowns.
Solve the problem. Make sure your answer contains units and is labeled clearly.
Check your answer.
Write 2-4 sentences explaining your solution/checking process.

Answer:

The correct answere would be 19 degrees after solving for the length of the wire plus the diagnal of the ground.

Step-by-step explanation:

Answer:

0.058

Step-by-step explanation:

Answer:

first box= 8

box to the right= 1

box on the right edge= 6

box in second row= 3

box in the middle to the very right= 7

bottom box= 9

I think

Answer:

Step-by-step explanation:

Start off on the bottom row and everything else just falls into place

not really much work to show

Answer:

10% = 900

5% = 450

15% = 1,350

Please brainliest

Answer:

a = 360 * 0.27^n

Step-by-step explanation:

a = 360 * (1  - .073)^n

a = 360 * 0.27^n

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

edg 2023

Answer:

(y+9)(y-9)

Step-by-step explanation:

Answer:

Yes, by AAA.

Step-by-step explanation:

The triangles share 3 pairs of congruent angles. Therefore, these triangles can be proven to be congruent by AAA congruence theorem.

Answer:

yes by ASA

Step-by-step explanation:

angle gdf equals angle edf

side DF is common to both

angle gfd equals angle efd

hence by ASA (short for angle side angle)

Answer:

60 ft

Step-by-step explanation:

Position of Syd =  +43

Position of Ingrid = - 17

To find the distance between them, add the absolute value

I +43 I + I-17I = 43 + 17 = 60

Answer:

let's take the postion of sea level 0

such that

syds on a cliff 43 ft above sea level

his position = 43 ft

Ingrid is 17 feet below sea level so his position = 17 ft in the opposite direction as that of Syd.

since syd is 43 feet away from sea level, that is 0, and sea level is 17 feet away from Ingrid.

distance between syd and Ingrid = 43 + 17

= 60 ft

Answer:

16 mugs

Step-by-step explanation:

Total clay bought = 45 lbs

Clay used for sculpture = 15.8 lbs

Clay left over = 17.68 lbs

Clay used for each mug = 0.72 lbs

Number of mug = x

Total clay bought = Clay used for sculpture + Clay left over + (Clay used for each mug * Number of mug)

45 = 15.8 + 17.68 + (0.72 * x)

45 = 33.48 + 0.72x

45 - 33.48 = 0.72x

11.52 = 0.72x

x = 11.52/0.72

x = 16

Number of mug = x = 16 mugs

Answer:

y = -7

Step-by-step explanation:

The line represents the y-coordinate, because it is a straight line over the x axis, indicating it cant be an x coordinate

Because it is 7 units below the x-axis, it is -7

y = -7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Slope = 4/9

Step-by-step explanation:

x1(-4,2)

x2(5,6)

Slope,

m = (y2-y1)/(x2-x1)

= (6-2)/(5--4)

=4/9

Answer:

A(7,4)

Step-by-step explanation:

-2/3 is the slope and the slope is the rise over the run, and we know it passes through the point (1,8).

Next, we can create a chart/table

X int-1+3=4, 4+3=7

Y int-8-2=6,6-2=4

1st point: (4,6)

2nd point: (7,4)

Hope I helped, have a nice day :)

Answer:

If ZB is the 3rd angle, since a triangle has 180 degrees total just do 83+70+x=180 sooooo x=27

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

X

CO

f(x)

-10

-8

-6l;

Which is an x-intercept of the continuous function rs are swamped. Wait for your answer to fully load.

the table?

-2

-1

0

1

2.

3

(0, -6)

O (30)

-4

-2

0

不

(-6, 0)

(0,3)

Answer:

-2

Step-by-step explanation:

see Image below:)

Answer:

[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

Step-by-step explanation:

Step 1:

Let us figure out the measurements of all the angles first. We are given one angle of 45º, and another of 90º. The angles of a triangle must add up to 180º, hence we can use basic addition and subtraction to find the last angle.

[tex]\angle=180-90-45\\\angle=45[/tex]

Great our angle is 45º! Notice something...?

Step 2:

We now have two 45º angles in our triangle. This means we have an isosceles triangle.

According to BATh (base angle theorem), in an isosceles triangle, the angles opposite the congruent sides are congruent. Thus, y is congruent to the given side of [tex]3\sqrt2[/tex].

y=[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

1 real solution

Step-by-step explanation:

y=2x^2−8x+8

We can use the discriminant to determine the number of real solutions

b^2 -4ac

a =2  b = -8  c=8

(-8)^2 - 4(2)(8)

64 - 64

0

Since the discriminant is 0 there is 1 real solution

>0 there are 2 real solutions

< 0 two complex solutions

9514 1404 393

Answer:

  (a)  (5π -11.6) ft²

Step-by-step explanation:

The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.

  shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)

  shaded area = (5π -11.6) ft²

Answer:

1/2             9/8

17/12          23/30

81/70         2/3

Step-by-step explanation:

I ordered it the way it appears in the image.

The range of the function is ZERO to POSITIVE INFINITY because 4^x is always positive.

Step-by-step explanation:

The range of the function is 0 to positive infinity because [tex]4^x[/tex] is always positive.

The range of a function is the set of output values of the function

The expression of the function is given as:

[tex]4^x[/tex]

Rewrite as:

[tex]f(x) = 4^x[/tex]

The value of the above function is always greater than 0, because it is an exponential function

Hence, the true statement is:

The range of the function is 0 to positive infinity because [tex]4^x[/tex] is always positive.

Read more about range at:

https://brainly.com/question/10197594

Answer:

Thanks you to

Step-by-step explanation:

Answer:

kilometers

Step-by-step explanation:

Millimeter - too small

Centimeters - too small

Metres - good for width

Kilometres - good for length

Answer:

Step-by-step explanation:

x=29*2=58

58+7=65

58+7+65=130

Answer:

The relationship or pattern between the month and the daylight hours is that the winter months tend to have fewer daylight hours while the summer months tend to have more daylight hours.

Answer and Step-by-step explanation:

First, write down the equation.

9e + 4 = -5e + 14 + 13e

Combine like terms.

9e + 4 = 8e + 14

Subtract 4 and 14 from both sides of the equation.

e = 10

e = 10 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

Number of 12-packs = 14

Step-by-step explanation:

 Cost       Number of 12-packs

 3.50               1

49.00              x

        [tex]\frac{1}{x} = \frac{3.50}{49}\\\\1 \times 49 = 3.50 \times x\\\\\frac{49}{3.50} = x\\\\x = 14[/tex]

Number of 12-packs for $49 = 14

Answer:

a.20%

Step-by-step explanation:

because of the book is 100$ and the thereby sold it and gained 20$ equals to 20%

Problem 3

-------------------------

Explanation:

Two points from the graph are (10,2) and (20,4)

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (4-2)/(20-10)

m = 2/10

m = 1/5

The slope of the graph is 1/5.

Do the same for two points from the table. I'll use the first two rows

m = (y2-y1)/(x2-x1)

m = (4-2)/(10-5)

m = 2/5

The slope of the table is 2/5.

Subtract the two slopes to wrap things up:

2/5 - 1/5 = (2-1)/5 = 1/5

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

Problem 5

------------------------

Explanation:

Angles 1 and 3 are same side exterior angles, so they are supplementary due to the parallel lines set up here.

(angle1)+(angle3) = 180

(157) + (angle3) = 180

angle3 = 180-157

angle3 = 23 degrees

Given:

In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.

To find:

The value of x and y.

Solution:

In triangle ABC,

[tex]AB=AC[/tex]                    (Given)

So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.

In isosceles triangle ABC,

[tex]\angle B\cong \angle C[/tex]

[tex]m\angle B\cong m\angle C[/tex]

[tex]m\angle B\cong 49^\circ[/tex]

The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.

[tex]m\angle ADB=90^\circ[/tex]

[tex]x^\circ=90^\circ[/tex]

In triangle ABD,

[tex]m\angle DAB+m\angle ABD+m\angle ADB=180^\circ[/tex]         [Angle sum property]

[tex]y^\circ+49^\circ+x^\circ=180^\circ[/tex]

[tex]y^\circ+49^\circ+90^\circ=180^\circ[/tex]

[tex]y^\circ=180^\circ-49^\circ-90^\circ[/tex]

[tex]y^\circ=41^\circ[/tex]

Therefore, the correct option is B.