First you would divide 175 by 15 and get 11.6666666667, you would then multiply that by 18 amd get 210.0000000001
Answer:
Mr. Martin drove 415 miles this week.
Step-by-step explanation:
The question says Mr. Martin drove 125 miles more than <u>last week</u>. How many miles did Mr. Martin drive this week?
How many miles did he drive last week?
Remember: 290 miles is the miles he drove last week.
The problem says he drove 125 miles AND 290 miles this week. So you take the SUM of them to see how many miles he drove together.
290 + 125 = 415
For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
This a pretty typical right triangle trig problem; the first step is to figure out what we have and what we want in relation to an acute angle in the problem.
Here we have a right triangle, G=90°, and we're given angle F=23°. So we have to name everything in relation to F.
31 = FG is <em>adjacent </em>to F.
x = GE is <em>opposite </em>to F.
OK, we have an opposite and adjacent; that tells us we need to use the tangent of F. Let's write it:
tan 23° = tan F = opp/adj = x/31
Solving,
x = 31 tan 23°
I hate the calculator part. I used to love that part.
x = 31 tan 23° ≈ 13.16 feet
Answer: 4) x ≈ 13.2 ft
Answer:
9x + 7
Step-by-step explanation:
Given
6x + 5y + 3x + 7 - 5y ← collect like terms
= (6x + 3x ) + (5y - 5y ) + 7
= 9x + 0 + 7
= 9x + 7
