We are given the relation between the height (in feet) and the distance (in miles) as follows:
y = sqrt(1.5x + (x/5280)^2).

We want to know the height (x) that makes the distance (y) = 10 miles

So, we will simply substitute in the above equation with y = 10 and calculate x as follows:
10 = sqrt(1.5x + (x/5280)^2)
we will square both sides to get rid of the root:
100 = 1.5x + (x/5280)^2
1.5x + (x/5280)^2 - 100 = 0
(x-66.11475)(x+7986.1147) = zero
either x = 66.11475 feet (accepted solution)
or x = -7986.1147 feet (rejected solution as no height is in negative)

5 0

3 years ago

A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Fin

vesna_86 [32]

Answer:

The cost of the system is $163 and The cost of the games is $489

Step-by-step explanation:

∵ A video game system and several games are sold for $652

∵ The cost of the games is 3 times as much as the cost of the system

→ Assume that the cost of the system is $x

∵ The cost of the system = x

∴ The cost of the games = 3 × x = 3x

∵ The total cost of the system and the games = 652

→ Equate the sum of the cost of the system and the cost of the games

by 652

∴ x + 3x = 652

→ Add the like terms in the left side

∴ 4x = 652

→ Divide both sides by 4 to find x

∵ $\frac{4x}{4}=\frac{652}{4}$

∴ x = 163

∵ The cost of the system = x

∴ The cost of the system is $163

∵ The cost of the games = 3x

∴ The cost of the games = 3(163) = 489

∴ The cost of the games is $489

4 0

3 years ago

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

ollegr [7]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Please help me find all the missing angles in the two problems

Yakvenalex [24]

the answer for the second problem is x=99 degrees and y= 261 degrees

dunno the first problem :/

3 0

2 years ago