Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
_____
You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
Answer:
x = 
Step-by-step explanation:
Given
9 - 3x = 7 ( subtract 9 from both sides )
- 3x = - 2 (divide both sides by - 3 )
x =
= 
Answer:
10c ≥ 150
At least 15 cars (or c ≥ 15)
Step-by-step explanation:
If she gets $10 for every car she washes a car then 10c is the rate of her gaining money and she needs at least (greater than or equal to) $150.
This equation can be used to express the situation:
10c ≥ 150
<em>To solve you divide the 10 from both sides of the inequality to get.</em>
c ≥ 15
Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:

90 more SUVs were sold than passenger cars. In other words:

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

Combine like terms:

Subtract 90 from both sides:

Divide both sides by 2:

So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!