Answer:
The answer to your question is the letter a) √3/3
Step-by-step explanation:
Data
find tan 30°
Use the triangle 30°-60°-90° (see the picture below)
Tangent is the trigonometric function that relates the Opposite side and the adjacent side.
tan Ф = Opposite side / Adjacent side
-Substitution
tan Ф = 1/√3
or 1/√3 √3/√3 = √3/3
Answer:
10 minutes
Step-by-step explanation:
Let the number of minutes = x
It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month.
For Guido
$4 + 0.20x
His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance.
For his mum
$2 + 0.40x
Guido's mom said they have to spend the same amount.
Equating both Equations together
$4 + 0.20x = $2 + 0.40x
$4 - $2 = 0.40x - 0.20x
2 = 0.20x
x = 2/0.20
x = 10 minutes
Guido can talk for 10 minutes
Answer:
800 miles
Step-by-step explanation:
Let the number of miles be represented by x
Company A for $110 a day plus $0.80 per mile.
$110 + $0.80 × x
110 + 0.80x
Company B charges $30 a day plus $0.90 per mile to rent the same truck.
$30 + $0.90 × x
30 + 0.90x
110 + 0.80x = 30 + 0.90x
110 - 30 = 0.90x - 0.80x
80 = 0.1x
x = 80/0.1
x = 800 miles
800 miles driven per day makes the rental cost for Company A a better deal than Company B's
A dime is a ten cent coin while a quarter is a 25 cent coin. The total of the money should be $8.40. Let x be the number of dime and y be the number of quarter. The equation that would best represent the given problem is,
0.1x + 0.25y = 8.40
x + y = 45
The values of x and y are 19 and 26, respectively. Thus, there are 19 dimes and 26 quarters.
