While taking a ride in a hot-air-balloon in Napa Valley, Francisco wonders how high he is. To find
out, he chooses a landmark on the ground that is to the east of the balloon and measures the angle of
depression to be 54°. A few minutes later, after the balloon floats horizontally 100 feet east, closer to the
landmark, the angle of depression to the same landmark is determined to be 61°. Determine the height h
of the balloon. Round your answer to the nearest tenth.

a) Find the measures of ∠1, ∠2, ∠3 and ∠4:

∠1 = ________ ∠2 = ________
∠3 = ________ ∠4 = ________
b) Solve for the height of the balloon, h. You may use any
appropriate method but must show your work!

Answer:

m∠A = 74°

m∠T = 32°

Step-by-step explanation:

m∠A must be m∠C due to symmetry.

m∠C + m∠A + m∠T = 180° because it's a triangle.

m∠T = 180 - m∠C - m∠A = 32

Answer:

C. Use a compass to draw one arc with point M at the center and intersecting point N.

Step-by-step explanation:

I took the test and got it right.

Your welcome :)

Using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.

Lines that cut through the middle of each side of a triangle and are perpendicular to the specified side are known as the perpendicular bisectors of the triangle.

The standard construction of the perpendicular bisector of MN will be,

Step 1: Sketch a line segment with any appropriate length, XY.

Step 2: Using a compass, draw arcs above and below the line segment, with X serving as the center and XY's width greater than 50%.

Step 3: Carry out Step 2 but use Y as the center. Step 4: Write "P" and "Q" next to the junction points.

Thus, using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.

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Answer:

She ordered 8 coffees and 4 chai tea drinks.

Step-by-step explanation:

Answer:

i do not know

Step-by-step explanation:

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

Explanation:

Use the remote interior angle theorem. This says to add the interior angles shown, and you'll get the exterior angle that is not adjacent to those interior angles.

68+65 = 133

So angle B is 133 degrees

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

A longer alternative is to let C be the missing interior angle of the triangle. Then we can find that

68+65+C = 180

C+133 = 180

C = 180-133

C = 47

Angle C is adjacent to the exterior angle B, meaning

B+C = 180

B+47 = 180

B = 180-47

B = 133

Answer:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

8 and 7

7 and 4

Step-by-step explanation:

Answer: the biggest odd number is 8467

Answer: the smallest odd number is 4867

Step-by-step explanation:

u3uwi2i2i3ij3j3ui

Step-by-step explanation:

ii3jj3i3i3i3i3i3ii3u3ieu so

Answer:

i believe its b

Step-by-step explanation:

sorry if its wrong

Answer:

10

Step-by-step explanation:

zhejdjdjfkfkdjdjdjjdhdhdudisos

Answer:

1) 125

2) 1

3) 27

Step-by-step explanation:

1) 5*5*5=

125

2) whenever there is an exponent of 0, the number is 1

3) 3*3*3=

27

Answer:

One tenth

Step-by-step explanation:

You state the number on top as is.

Numerator:

1 - one

2- two

and so on.

over the denominator

which you state as an ordinal number

2 = halves

3 = thirds

4 = fourths

5 = fifths

etc.

so 1/10 would be one over tenths but you say  one tenth.

The unit form is 0.1.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

1/10

We will write it in decimal form.

= 0.1

Thus,

The unit form is 0.1.

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Answer:

54

Step-by-step explanation:

what u gotta do is add 46 with 8 and you can check my answer with 54-46=8

difference means you subtract

sum means you add

product means you multiply

and quotiant means you divide

The required number is 27.

Given that,
To determine the number the difference of a number and 8 is 46 less than the number

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27

Thus, the required number is 27.

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Answer:

x>3

Step-by-step explanation:

treat the inequality like an equal sign

x + 1 >4

x > 4 - 1

x > 3

if there is plus we should take the number to the other side and subtract and if there is subtract we should take the number to the other side and plus

Answer:

$569.50

Step-by-step explanation:

15% deduction from the initial price(100%) will have us remaining with 85%

100% = 670

85% = 85% x 670

                100%

= $569.50

Answer:

m^8

Step-by-step explanation:

The number of tiles on the wall is [tex]m^{8}[/tex].

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

Given:

number of rows = m³

number of columns = [tex]m^{5}[/tex]

Now, we have to find the number of tiles in a wall

=rows *  column

=  m³ *  [tex]m^{5}[/tex]

=[tex]m^{8}[/tex]

hence, the number of tiles in a wall is  [tex]m^{8}[/tex].

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Answer:

$9.25

Step-by-step explanation:

2.75+ .5(13)

.50 (13)= 6.5

6.5 +2.75= 9.25

Answer:

$12

Step-by-step explanation:

To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.

Answer:

x=12

Step-by-step explanation:

Try using m a t h w a y, it helps with this kind of math.

Answer: 12

Step-by-step explanation:

Seems like your in a rush so I'll edit the explanation after- goodluck!

Answer:

its b i think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

They can't add 5 into it because they are not like terms if it was 5h instead then yes you could but it is just 5.

Answer:

i need help on this one aswell

Step-by-step explanation:

noooooooooooo

pls

someone help us on this question

Answer:

75

Step-by-step explanation:

Answer:

7 and 21

Step-by-step explanation:

Answer:

what are we supposed to enswer

Step-by-step explanation:

Answer:

-14x+21

Step-by-step explanation:

-7(2x-3)

-14x+21

Answer:

-14x+21

Step-by-step explanation:

Answer:

44 is the answer for the question

Answer:

44

Step-by-step explanation:

5x8= 40

40+4=44

Answer:

2(8)+7

Step-by-step explanation:

You fill in the spots. If b = 2 then put 2 in the equation.

Answer:

23

Step-by-step explanation:

b multiplyed by c equals 16 + 7 giving you 23