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:

4

Step-by-step explanation:

I'm guessing it's 4

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

Answer:

The 2nd option.

Step-by-step explanation:

Since  Angle D is 68 degrees side EF would be the longest.

Side DF is the shortest side it is opposite the smallest angle.

Side EF is in the middle since opposite the next biggest angle.

Side EF is again the longest since Angle D is the biggest at 68 degrees.

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I would think trench because it would most likely cause mountains and that's the closest thing to a mountain. I'm not a hundred percent sure so sorry if its wrong.

Answer:

rift valley I believe

Step-by-step explanation:

I'm not actually sure but I think its c

The answer is A.125 because I did this before

Answer:

x = 3

y = -1

Step-by-step explanation:

in this system, we are given that y = x - 4

this means that we can take the other equation and replace y with x - 4:

so 2x - 3y=9 turns into

2x -3 (x - 4) = 9

distribute -3 to x and -4:

2x - 3x + 12 = 9

add like terms and subtract 12 from both sides

-x = -3

divide both sides by -1 to get rid of the negative on x:

x = 3

now we have the value of x, so we can replace the x in y = x - 4 with the value we just got

so y = x- 4 turns into

y = (3) - 4

solve and you get

y = -1

Answer:

y=13.50x

Explanation:

94.50/7 = 13.5

hold on i think im  wrong who knows sorry

Answer:

Step-by-step explanation:

to find x we can use tangent function

tan 31= x/9

0.60=x/9

x=0.60*9=5.4 choice B

The measure of x side.

We have given a right angle triangle whose angle A=31 degrees and two sides that is x and 9.

We have to determine the value of x.

Therefore we use here the trigonometric ratio

[tex]tan\theta=\frac{opposite side}{adjacent side}[/tex]

Therefore we get

tan 31= x/9

tan(31)=0.60

0.60=x/9

Isolate the x

x=0.60*9

x=5.4

Therefore option B is correct.

To learn more about the trigonometric ratio visit:

https://brainly.com/question/24349828

Answer:

You bought 4 items.

Step-by-step explanation:

3.16 divided by 0.79 = 4

Answer:

You bought 4 items because 0.79 x 4 = 3.16

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

it was never stated that there was orange on the spinner

Answer:

(2)(9) + 75 = 75+18

Step-by-step explanation:

(2)(9) + 75 = 75+18

The expression written as a product of a number and another sum is 3(25 + 8)

Given the expression 75 + 18, we are to write as a product of a number and another sum.

First we need to find the GCF of 75 and 18

75 = 3 * 25

18 = 3 * 6

Since 3 is common to both D+GCF, we can factor it out from the expression to have:

75 + 18 = 3(25 + 8)

Hence the expression written as a product of a number and another sum is 3(25 + 8)

Learn more here: https://brainly.com/question/219464

Answer:

0.043

Step-by-step explanation:

0.0 is tenths

0.00 is 100ths

Answer:

C

Step-by-step explanation:

C. Both a function and a relation

I think its c

Step-by-step explanation:

at no point are there 2 points in the same line so its a function,

Answer:

Step-by-step explanation:

Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:

Answer:

24+4x

Step-by-step explanation:

4(6)= 24

4(x)= 4x

Answer:   1.50+5m=76.50 m=15

Step-by-step explanation:

The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

pick-up fee = $1.50 plus $5 per mile

Since, m is the number of miles in the taxi ride

So, equation for pick-up fee for m miles,

pick-up fee = $1.50 + $5m

Now total fare = $76,50

Thus, required equation to determine m is given as,

1.50 + 5m = 76.50

Subtracting 1.5 both the side we get,

1.50 + 5m - 1.5 = 76.50 - 1.5

⇒ 5m = 75

or, m = 75/5

⇒ m = 15

Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

To learn more about equation :

https://brainly.com/question/25271125

#SPJ2

Answer: The answer that you’re looking for is D. [tex]p(x)=\frac{1}{3}x-\frac{5}{3}[/tex]. Brainliest?

Step-by-step explanation:

Answer: $8.50/pound

Step-by-step explanation:

Price per pound --> take the total price and divide it by the number of pounds

$22.10 / 2.6 pounds = $8.50/pound

Answer:

$8.50

Step-by-step explanation:

take 22.10 divide it by 2.6 and you will get your answer.

Hope this helps

Answer:

1. B: 12 BB 18 FB,, 2.

Step-by-step explanation:

1. make the equation (198 + 33x) + 24x = 882 because there are a certain number of each ball (x) and 6 more footballs. since each football is 33 dollars, you do 33 x 6 which is 198, and then keep 33x and 24x. It is all equal to 882 since that is the final price. First, you subtract 198 on each side and combine the like terms (33x + 24x). Now it is 684= 57x and you divide 684 by 57, which equals 12. That means that there are 12 basketballs and 12 + 6 footballs, which is 18.

2. You cannot solve the problem or do any problem without distributing first. I'm unsure how else to explain it.

Answer:

15. 12, 16. 18

Step-by-step explanation:

a = pi*r^2

15) 36pi = pi*r^2 --> 36 = r^2 --> 6 = r --> 12 = d

16) 81pi = pi*r^2 --> 81 = r^2 --> 9 = r --> 18 = d

Answer: x = 7

Step-by-step explanation:

7x+9=58

8x+2=58

These are congruent angles so they are the same value.

Answer: the slop should be -1/2 not sure tho

Step-by-step explanation:

answer 13/30

or 0.43 repeating

Step-by-step explanation:

Answer:

Step-by-step explanation:

follow that

Answer:

start at 7 on the y axis the then go down two

Step-by-step explanation:

next 5 points in your graph:

(5,1)

(3,2)

(1,3)

(-1,4)

(-3,5)

brainliest would be appriciated