Answer:
112.5 miles
Step-by-step explanation:
375/5=75
75*6.5=487.5
487.5-375=112.5
Answer:
"76°" is the appropriate solution.
Step-by-step explanation:
Please find attachment of the diagram according to the given query.
The given values are:
In ΔDEF,
f = 610 inches
e = 590
∠E = 70°
∠F = ?
By using the law of sines, we get
⇒ 
On substituting the values, we get
⇒ 
On applying cross multiplication, we get
⇒ 
On substituting the values, we get
⇒ 
⇒ 
⇒ 
now,
⇒ 
⇒ 
Answer:
x = 7/3
Step-by-step explanation:
3(x-4)=-5
Distribute
3x - 12 = -5
Add 12 to each side
3x -12+12 = -5+12
3x = 7
Divide by 3
3x/3 = 7/3
x = 7/3
No picture? what’s the question
Answer:
Option B is correct
Step-by-step explanation:
Given:
f(x) = -20x^2 +14x +12 and
g(x) = 5x - 6
We need to find f/g and state its domain.
f/g = -20x^2 +14x +12/5x - 6
Taking -2 common from numerator:
f/g = -2(10x^2 - 7x - 6) / 5x -6
Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6
Putting in the above equation
f/g = -2(10x^2 - 12x +5x -6)/ 5x -6
f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6
f/g = -2 ( (2x+1)(5x-6))/5x-6
cancelling 5x-6 from numerator and denominator
f/g = -2(2x+1)
f/g = -4x -2
The domain of the function is set of all values for which the function is defined and real.
So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.
So, Option B is correct.
