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Alex
3 years ago
5

John wants to measure the height of a tree.he walks exactly 100 ft from the base of the tree and looks up.the angle from the gro

und to the top of the tree is 33 degrees.how tall is the tree
Mathematics
1 answer:
kati45 [8]3 years ago
6 0

Answer: The height of the tree is 64.94ft

Step-by-step explanation:

Using the trigonometry of angles

Tan theta = opposite/adjacent

Tan 33° = height of the tree/100

Height of the tree= tan 33° * 100

= 0.6494*100

= 64.94ft

The height of the tree is 64.94ft

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Which shows 0.23 repeated as a fraction.<br> A. 2/33 <br> B. 7/33 <br> C. 23/99 <br> D. 7/30
sergij07 [2.7K]

Answer: c

Step-by-step explanation: 23/99 as a fraction

8 0
3 years ago
You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 5
sertanlavr [38]
A) Demand function

price (x)          demand (D(x))

4                      540

3.50                  810

D - 540          810 - 540
----------- =  -----------------
x - 4               3.50 - 4

D - 540
----------- = - 540
x - 4

D - 540 = - 540(x - 4)

D = -540x + 2160 + 540

D = 2700 - 540x

D(x) = 2700 - 540x

Revenue function, R(x)

R(x) = price * demand = x * D(x)

R(x) = x* (2700 - 540x) = 2700x - 540x^2

b) Profit, P(x)

profit = revenue - cost

P(x) = R(x) - 30

P(x) = [2700x - 540x^2] - 30

P(x) = 2700x - 540x^2 - 30

Largest possible profit => vertex of the parabola

vertex of 2700x - 540x^2 - 30

When you calculate the vertex you find x = 5 /2

=> P(x) = 3345

Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.




5 0
3 years ago
Function f is shown on the graph below where two points are marked. If function f is horizontally compressed by a factor of 2, p
lilavasa [31]

Answer:

If you have    

f(x) = x^2

The point  (2,4)   would be transformed to (1,1)

Step-by-step explanation:

If your compression is horizontal then the transformation you are making is the following

g(x)  = f(x/2)

Therefore, if you have    

f(x) = x^2

The point  (2,4)   would be transformed to (1,1)

5 0
3 years ago
Please help me with geometry! &lt;3<br> In rhombus ABCD, m&lt;=53*, What is M (*=degrees)
julia-pushkina [17]
In a rhombus opposite angles are equal and all 4 add up to 360
assuming one angle is 53, the opposite angle will also be 53 and then adjacent angles will be (360 - (53 x 2))/2 = 254/2 = 127*(deg)
I think the answer you're looking for is 127
3 0
3 years ago
Which of the following angles is a right angle?
Lapatulllka [165]
APZ is the correct answer
8 0
3 years ago
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