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guapka [62]
3 years ago
10

Darell parks his car in a parking garage. The garage charges a certain amount for the first hour and an hourly rate for each add

itional hour. The total charge for 3 hours is $10.65. The total charge for 6 hours is $15.30.
Complete the equation that describes the relationship between the total charge, C, and the length of time in hours, h.
c = __ h + __
Mathematics
1 answer:
mestny [16]3 years ago
3 0

Answer:

charges for the first hour = $7.55

charges for each additional hour = $1.55

c = 1.55h + 7.55

Step-by-step explanation:

Let

x = charges for the first hour

y = charges for each additional hour

x + 2y = 10.65 (1)

x + 5y = 15.30 (2)

Subtract (1) from (2)

5y - 2y = 15.30 - 10.65

3y = 4.65

y = 4.65/3

= 1.55

y = $1.55

Substitute y = 1.55 into

x + 2y = 10.65

x + 2(1.55) = 10.65

x + 3.10 = 10.65

x = 10.65 - 3.10

= 7.55

x = $7.55

c = 1.55h + 7.55

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A) cos a = (√22)/5; tan a = (√66)/22
B) sin a = (2√2)/3; tan a = 2√2
C) sin a = (√30)/6; cos a = (√6)/6
D) sin a = 3/5; tan a = 3/4
E) sin a = (5√26)/26; cos a = (√26)/26
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Explanation
The ratio for sine is opposite/hypotenuse.  This means the side opposite the angle is √3 and the hypotenuse is 5.  Using the Pythagorean theorem to find the adjacent side,
(√3)² + A² = 5²
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This means that cos a = adjacent/hypotenuse = (√22)/5 and tan a = opposite/adjacent = (√3)/(√22) = (√66)/22.
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D)  The ratio for cosine is adjacent/hypotenuse; this means that the side adjacent the angle is 4 and the hypotenuse is 5.  Using the Pythagorean theorem to find the side opposite the angle, p:
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