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3 years ago

While taking a ride in a hot air balloon in Napa Valley, Francisco wonders how high he is.

1 answer:

8 0

let landmark be at L
ZN = 100, NL = x (say)
tan 54 = (100+x)/H
100 + x = H tan 54 -------------- (1)
------------------------------
tan 61 = H/x ................ [alternate angle]
x = H cot 61 ------------------------- (2)
put x from (2) into (1)
H cot 61 + 100 = H tan 54
H = 100 / [tan 54 -cot 61]
H = 100 / [1.376 - 0.554]
H = 121.65 feet

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there are 15 rafts available for people to use on the adventure river ride. each raft holds 12 people. the park runs this ride 3

3241004551 [841]

540 people can ride the wild river in 1 hour if all of the rafts are used and each raft is full

Solution:

Given, There are 15 rafts available for people to use on the adventure river ride.

Each raft holds 12 people.

Then, total people capacity over all rafts = 15 x 12 = 180 people.

The park runs this ride 3 times each hour.

We have to find how many people can ride the wild river in 1 hour if all of the rafts are used and each raft is full?

Then, total people count who take ride = number of rides x number of people per ride

= 3 x 180 = 540

Hence, 540 people can take ride in 1 hour.

6 0

3 years ago

Solve each system by graphing: 4x + 6y = -12 2x + 3y = 6

Helga [31]

Answer: For the system given, there is no solution.

The slopes are the same for both equations, so the lines are parallel. With no intersection, there is no solution.

It may be easier to graph the system if you change the equations to slope intercept form y = mx + b

That locates the y-intercept, b and you can use the slope, m to plot additional points to draw the lines.

The attachment shows the graph of this system of equations.

Step-by-step explanation: Isolate y on the left

First equation:

4x + 6y = -12 Subtract 4x from both sides

6y = -4x -12 Divide both sides by 6

y = -4x/6 -12/6 Simplify

y = -2x/3 - 2 The y-intercept is -2, the slope is -2/3

Second equation:

2x + 3y = 6 Subtract 2x from both sides

3y = –2x + 6 . Divide both sides by 3

y = –2x/3 + 6/3 Simplify

y = –2x/3 +2 The y-intercept is -2, the slope is -2/3

At this point we see that the slopes are the same, so the lines are parallel.

6 0

3 years ago

Read 2 more answers

Which of the following is an arithmetic sequence?

madreJ [45]

Answer:

Step-by-step explanation:

A is an arithmetic sequence with first term -2 and common difference 5. Each new term is found by adding 5 to the previous term.

B is a geometric sequence with first term 1 and common ratio 1/2.

C is neither an arithmetic nor a geometric sequence.

D is neither. We might call it an "alternating sequence."

8 0

3 years ago

A triangle has two sides that measure 4ft. and 3ft. Which could be the measure of the 3rd side?

Aneli [31]

In order to form a triangle, the third side must be at least greater than the difference of the other two sides
4 - 3 = 1 So the third side must be greater than 1 foot and the third side must be less than the sum of the other two sides
4 + 3 = 7 So, the third side must be less than 7

1 < third side < 7

4 0

3 years ago

Mrs. lama marked a price of a cosmetic item 25% above it's cost price. if the cost price of the cosmetic item was 4400, at what

Alexeev081 [22]

Answer:

hi dear I suppose the answer would be 6271$

3 0

2 years ago