Answer:
x=11
Step-by-step explanation:
3x+3(5x-6)= 180
Distribute 3 to 5x and -6
3x+15x-18=180
Combine like terms
18x-18=180
Add 18 to both side
18x=198
Divide 18 on both side
x=11
Answer:
Therefore after 3 years the height of these tree will be same.
Step-by-step explanation:
Given that,
Type A is 2 feet tall and grows at a rate of 17 inches.
Type B is 10 feet tall and is growing at a rate of 5 inches.
1 feet = 12 inches,
2 feet= (12×2) inches = 24 inches
5 feet= (12×5) inches = 60 inches
Let after t years, the height of these tree will be same.
After t years, the height of type A is =(24+17t)
After t years, the height of type B is =(60+5t)
According to the problem,
24+17t=60+5t
⇒17t-5t=60-24
⇒12t = 36
⇒t = 
⇒t=3
Therefore after 3 years the height of these tree will be same.
Answer:
100 i think
Step-by-step explanation:
okay well usually what I would tell you would be to use the ABC method. you would multiply A (2) by C (6) to get twelve. so you need two numbers that multiply to twelve and add to -4 (the B value). but there are no numbers that fit this description so you have to use the GCF method instead
for this method you must find the GCF for all three numbers which in this case is 2. 2(x^2-2x+3) all these numbers are now prime so this is the factored form
Step-by-step explanation:
Draw the triangle formed by the ray.
The hypotenuse of the triangle is:
c² = a² + b²
c² = (-5)² + (2√7)²
c² = 25 + 28
c = √53
Therefore:
cos β = -5 / √53
Or, as a proper fraction:
cos β = -5√53 / 53