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Taya2010 [7]
3 years ago
6

the cost of renting a kayak is $12 for the first hour plus another $5 for each additional hour. which of the following represent

s this situation, where c is the total cost of renting a kayak for h hours
Mathematics
2 answers:
uysha [10]3 years ago
8 0
C=5(h-1)+12 apex : )
Irina18 [472]3 years ago
5 0

Answer:

C(h)= 5(h-1) + 12

Step-by-step explanation:

the cost of renting a kayak is $12 for the first hour plus another $5 for each additional hour.

Initial cost , that is cost for 1 hours is $12

LEt h be the number of hours renting a kayak

for 1 hours is $12  and for remaining (h-1) hours the  cost of renting is $5 per hour

Total cost = 5 (remaining hours) + cost of first hour

C(h)= 5(h-1) + 12

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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

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